Helpful ReplyMusic Theory (and all that jazz)...

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synkrotron
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2015/05/20 06:36:31 (permalink)

Music Theory (and all that jazz)...

Quite embarrassing, in a way, because I've been creating "music" for some time now, with only ever occasionally delving into the theory side of things.
 
Why start now, I wonder...
 
Well, I dunno. I could carry on doing what I'm doing. I only really create stuff as a hobby and I enjoy it. But one thing I have known for nearly as long as I've had this hobby is that not knowing the theory is going to hold my creativity back quite considerably.
 
Anyway, what I am looking into today is minor scales. I'm struggling to get my head around the fact that, in Western music at least, there are three different minor scales; natural, harmonic & melodic. And to complicate it further, the melodic minor scale can be different when descending. I guess I'm going to have to sit in front of my MIDI keyboard and play the different scales over a set of chords in order to hear how they sound (or "feel") together.
 
In the meantime, any tips/revelations/confessions would be greatly received 
 
cheers
 
andy

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notscruffy1
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Re: Music Theory (and all that jazz)... 2015/05/20 08:50:49 (permalink) ☄ Helpfulby mettelus 2015/05/20 20:12:44
Hi Andy,
 
I have returned to the guitar as part of the rehab to a hand injury, late in the game. I am 63 now. I believe the easiest way to make new music is to do something you don't know how to do. Traditional theory is a valuable accumulation of knowledge over the years. It describes the math of music.
 
I am a math guy and am often puzzled by music theory (the spoken language). That said I go to it when I think it might help. I am lucky to have a friend my age who worked in Nashville from back in the day. He helps me see what I need from theory.
 
1. Don't force yourself to learn anything you aren't trying to use.
2. When the theory doesn't make sense it's you. Listen / Read again or decide not to use it.
3. Set real goals in your study. Learning new scales and progressions improve my skill sets in all facets, theoretical and physical.
4. Don't study for studying's sake. Create without regard for knowledge anytime you can.
 
AMK
 

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Grem
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Re: Music Theory (and all that jazz)... 2015/05/20 10:21:34 (permalink) ☄ Helpfulby synkrotron 2015/05/20 23:57:19
notscruffy1

Create without regard for knowledge anytime you can.
 
 


Great post Andy.

But above all, create!!

Grem

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Re: Music Theory (and all that jazz)... 2015/05/20 11:22:47 (permalink) ☄ Helpfulby synkrotron 2015/05/20 23:57:24
andy
 
can't help with scales right now (too complicated) but i can offer this:
 
 
https://app.box.com/s/8ehdefkrhxo2dn5dlmmte05s8c8qatx5
 
 
pdf of chords on the guitar, the 'ultimate' guitar chord chart...
 
some of these 'minor' key voicings,
translate very well to keys
 
 
 
then there's this:
 

 
 
more:
 
https://www.google.com/search?q=minor+scales&es_sm=93&tbm=isch&tbo=u&source=univ&sa=X&ei=ZqZcVb3hDoGNyATc2oDABg&ved=0CDUQsAQ&biw=1354&bih=684#imgrc=_
 

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Bats Brew albums:
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Re: Music Theory (and all that jazz)... 2015/05/20 11:58:52 (permalink) ☄ Helpfulby synkrotron 2015/05/20 23:57:29
This is a quick and dirty layout of the 3 minor scales Natural, Harmonic, and Melodic.
 
I used a '-' to show a note dropped by a half step, so for example -3 means the 3rd interval of a scale is dropped by a half step, so for major scale C major of C D E F G A B C, a -3 would mean the E is dropped to Eb.
 
An easy way to remember a major scale is that every single one of them has all whole steps between intervals, EXCEPT between 3 and 4, and between 7 and 8, and those intervals are half steps.  SOOO, you would have C D E F G A B C for C major, and if you looked at a piano keyboard for those notes, you would see that E to F (3 and 4) is a half step, and B to C (7 and 8) is a half step, and all the rest of the C major intervals are whole steps.
 
The above means you only need to remember 3,4 and 7,8 being half steps, and all the others are whole steps (2 half steps), and you can then start on any note and play a major scale with that note being the first note of the scale.
 
D E F# G A B C# D would be D major, and has whole steps for all intervals except for its 3,4 and 7,8 which are half steps.
 
It's much easier to remember '3,4 7,8' than it is to try to memorize all of the individual notes for all of the 12 possible major scales.  Eventually, when you think of a particular major scale, your brain will just 'know' the scale and you will visualize it when you look at a keyboard or fret board, but in the meantime, just think '3,4 and 7,8'.
 
So, anyways, here are the Natural, Harmonic, and Melodic minor scales:
 
Natural Minor
 
    -3 -6 -7
    C D Eb F G Ab Bb C
 
Harmonic Minor
 
    -3 -6 and a Natural 7     (6 to 7 will be a minor 3rd, 7 to 8 will be half step)
    C D Eb F G Ab B C

Melodic Minor (usually only used ascending, descending uses natural minor scale)
 
    -3 Ascending
    C D Eb F G A B C
 
    -3 -6 -7 Descending
    C Bb Ab G F Eb D C (descending - shown here descending order as well)
 
There are also a TON of free music theory sites on the web, just search Google for music theory.
 
http://www.musictheory.net/ is one of them.
 
Hope some of the above helps, 
 
Bob Bone
 
 
 
post edited by robert_e_bone - 2015/05/20 12:08:00

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Re: Music Theory (and all that jazz)... 2015/05/20 13:06:23 (permalink) ☄ Helpfulby synkrotron 2015/05/20 23:57:42
Yeah, the way the minor scales are presented in traditional theory is kind of dumb and confusing. Also it ignores the various minor modes that appear in diatonic theory which is very limiting.


Look at it this way...


We start with the Major scale (Ionian mode). This has a set of tones arranged in a specific order... right?


TTSTTTS


Simple enough. Now we create the 7 modes by simply starting on the next step in the pattern, incrementally one note at a time.


So TTSTTTS becomes TSTTTST the first time we do this (which produces the Dorian mode... which BTW is a minor mode). Keep doing that and eventually you end up with all seven modes and then return back to Major Ionian.
 

The natural minor scale appears on the sixth step of this sequence (it's modal name is the Aeolian mode).


In sequence (The Roman numerals represent the steps of the Major scale):


TTSTTTS   I - Ionian (Major Scale/mode)

TSTTTST   II - Dorian (minor mode)

STTTSTT   III - Phrygian (minor mode)

TTTSTTS   IV - Lydian (Major mode)

TTSTTST   V - Mixolydian (Major mode - "Dominant")

TSTTSTT   VI - Aeolian (Natural Minor Scale/minor mode)

STTSTTT   VII - Locrian ("half diminished"/minor* mode)


*I say minor here because Locrian has a minor 3rd which is the distinguishing characteristic of a minor scale/chord/mode but the diminished 5th overides it (which is just an annoying way to say that the fifth has been flatted for much more convoluted advanced theory reasons).


If you squint your eyes you can the semi-tones "scrolling" backwards as we move through the steps. On your keyboard you can play this sequence by playing the C Major scale (only the white keys) up to the octave (C to C) then move up one white key to the D and play the next 8 notes (D to D), then E to E, and so on until you end up at the high C of the C Major scale you originally play. This of course continues all the way up (or down) the keyboard until you run out of keys.


We'll ignore key changes for now because that just muddles up the conversation but the pattern sequence stays the same. You would just add the necessary black keys to acheive the key change.


So the Major scale produce seven distinct scales. The one considered the "natural minor scale" within traditional music theory appears on the 6th step.


When we create the "Harmonic minor scale" all we are doing is slightly altering the tone/semitone pattern of the natural minor scale by nudging the 7th note up by one semitone. This makes it land the exact distance from the root as it would be in the Major (Ionian) scale. In the natural minor scale it is considered a "minor 7th" because it has been flatted. In the Major scale it is considered a Major 7th. In the Harmonic minor scale it is also considered a Major 7th. This naming convention of where notes appear is advanced and confusing but does serve a purpose. That's a little off point but I just wanted to show you that all we have done is take the 7th step of the nat minor scale (a minor 7th) and bump it up a semitone to a Major 7th (which is where the 7th would appear in the major scale).


So let's see how that might look using the method I did above...



TSTTSTT  - This is tone/semitone sequence for the Natural minor scale (Aeolian mode)


Now let's just put a plus above the 7th interval to indicate we've added one semitone to second to last interval. THis also means we have to change the last interval to a semitone otherwise we would overshoot the octave (making our root one semitone higher which is no good). On your keyboard you can play the Natural minor scale by play all the white keys from A to A. To play the Harmonic minor all you would do is move last note  before A (G) up to the following black key (G#). Everything else remains the same.


         +
TSTTSTS - Harmonic minor (or "Aeolian #7" or "Harmonic Aeolian" which are names I use that I'll explain below)


Since we have a new pattern this now creates 7 new modes. Well actually they are the same modes but slightly altered by that bumped up 7th.


The thing that annoys me about this process is that when this is explained it is never really made clear that by changing the Aeolian mode we change all the modes (including the Major scale) which would be much easier to understand if we kept the modes in sequence as we did above. To add to the confusion thse modes have been given all sorts of ridiculous names over the years many of which just make the whole thing even more confusing.


I prefer to just call the by their Major modal names and add "Harmonic" to them (like Harmonic Ionian) or use the most logical traditional naming convention I've seen where they simply add a descriptor of the step changed in the scale such as Dorian #4 (the number sign of course indicating a "sharp" 4th). Unfortunately for the latter naming convention even that doesn't seem to be consistent so I just use my own names and keep an eye out for the various other names used so I have an idea what someone is talking about. Different genres of music have different names for the same scales and some genres use MULTIPLE names for the same scale within their own lingo making things extra confusing. Really annoying.


An example of how I name things...


Harmonic Ionian (or Harmonic Major scale)


or


Ionian augmented 5 (or Ionian Aug5 which is shorter... there is also a symbol for augmenting but it would require me opening my character map... which I ain't doing so you can look it up).


BTW... Augmented means to increase a note by one semitone ABOVE where it would naturally land in the Natural Major scale. So in Ionian Aug 5 the 5th note appears one semitone higher than it would in the Natural Major scale. In this case because all we have done is alter one note in our overall sequence the rest of the scale is exactly identical to a Natural Major scale... but again perhaps I'm getting ahead of myself. I'm just trying to explain why I'm naming things the way I have. I just checked my notes from years ago and it does seem that at least one traditionally used convention for this mode is simply "Ionian Augmented" so that's pretty close... but mine is more descriptive to the performer so probably easier to understand. A better example of a weird name would be what Mixolydian turns into. Apparently some folks call it UltraLocrian which is all sorts of weird and wrong (I was typing up a long winded explanation of why but that would just be even more confusing when you only asked about minor scales... lol).


The other thing to understand is when I add my modifier to sharp or Augment the note I am sharping it from the viewpoint of the mode in question. Not from the viewpoint of the Major scale (which is the more "proper" way to do it but also more confusing and requires more thought to figure out... my way if you know how to play the natural mode you just make that small change and away you go... the other way you have to mentally do the conversion of the mode, into a Major scale, make the change then switch back which is unnecessarily convoluted). Also Augmented means the same thing as Sharp but is used when the note already appears at it's natural state. To make things easier I could have just used sharps to modify everything instead of augmented but that is just a little too outside of tradition so I stuck with augmented when appropriate.


So let's look at our new sequence created from the slight alteration we did to the natural minor scale. I will start in the order the natural modes of the Major scale appear in for consistency but know USUALLY this will be shown starting from the 6th step where the minor scale appears (which IMO is what causes the bulk of the confusion in regards to minor scales).
 
Just to be totally clear the T with the + sign over top represents a step of a tone + one semitone. So three semitones total for that one step.


     +
TTSTSTS  - I Ionian Aug5

   +
TSTSTST - II Dorian #4

  +
STSTSTT - III Phrygian #3 (Phrygian Dominant*)

+
TSTSTTS - IV Lydian Aug2

           +
STSTTST - V Mixolydian Aug1 (Having a sharped root note* is very strange indeed... lulz)

         +
TSTTSTS - VI Aeolian #7 (Harmonic Minor)

       +
STTSTST - VII Locrian #6



It may actually be easier to see how the intervals flow backward that way because you can see the + sign jumping back a notch with each step then jumping to the end of the pattern once it can't go backwards anymore. In modal and key theory there is a lot of this type of flowing and infinite movement. It's kind of cool once you start seeing the patterns.

*I marked off Phrygian Dominant because it is actually far more important than the root scale of harmonic minor. The reason harmonic minor is used traditionally is for the chord created on this step. In natural minor the 5th chord (also known as the "Dominant" chord) is a minor. Someone, somewhere decided that sounded bleak, boring and it stifled creativity so they switched the 5th to a Major chord which adds a completely new flavor to the minor scale and allows for different, and some would say more pleasant, chord progressions. That someone (or someone else) did the math needed to accomodate the new chord progression and the harmonic minor scale was born. It technically isn't meant to be played as a scale... just to create chord harmonies thus the name. However it and its modes can of course be played as scales and often are in metal, jazz and other more adventurous and/or ethnic music. In classical theory it's just for chords with the nat minor and/or melodic minor played over top (booooring... not to mention confusing as hell).

I find a good, simple way to make immediate use of the Harmonic minor scale and to understand it a little better is to play a I, IV, V type progression. The I is a minor chord, the IV is a minor chord and the V is a Major chord.

So in the key of A minor you would use... Am, Dm and E Major.

As you play your progression (you can organize it however you want) use the natural minor scale to improvise a melody over top of the Am and Dm chords. Then when you move the E switch to using the Harmonic minor for your melody. Switch back to natural minor when you move away from the E.

By switching to the Harm minor on that chord alone the scale/melody/improv sounds less "foreign". You get the benefits of the moodier minor chords but a nice "happy" type of movement from the major/dominant chord. Since the nat minor scale fits over top of the two minor chords it sounds good there but it won't over the dom 5th. Switching to the harm minor DOES fit.

Of course that's probably a really bastardized/simplistic way to use it all but it's cool and useful for writing and improvising. It will also give you somewhere to go if you are working with another artist who uses the harmonic minor for their progression.


=========================================================================

Melodic minor

This one is indeed a brain twister. When they say "play it one way ascending and another descending"... well that makes no damned theoretical sense. It's like Shrodinger's cat or in quantum physics when they (used to) say that light is both a wave AND a particle depending on whether you are observing it or not (WHUT?!).

That's why I personally dismiss that nonsense. It's a paradox. I'm sure it makes sense to Juliard graduates and other classical automatons (or they pretend it does) but really... it doesn't make sense in any practical way as far as I can tell. I am of course completely self taught (aside from some pretty lame lessons for a year when I was 12).



It just seems to be a compositional "suggestion" or "style" by some bored long dead composer who may or may not have just been screwing with everyone. Remember that the "modes" other than the Ionian and Aeolian modes were deemed "paganistic/heresy" by the clergy and thus the royals who commissioned and sponsored composers of yore. Of course they still used modes simply by shifting chords throughout a composition but could not make those chords or modes the root. That is why it is speculated those composers came up with such silly things like the harmonic and melodic minor. Essentially to get a bit more creative room withotu getting burned at the stake or losing their royal funding. It is also why traditional music theory is so damned convoluted and confusing when the modal method is more precise and easy to understand (something jazz musicians have long known and how they can create seemingly impossibly complex music).

The best way to look at the melodic minor scale is from the jazz perspective which is to just study it and implement it as the "ascending" version. The descending version is simply the natural minor scale (there is no difference... it is just the natural minor scale/Aeolian mode and behaves exactly the same way).

In fact when viewing it from this angle it is often called the Jazz minor scale which uses the ascending version of the melodic minor in both directions just like you would any other scale or mode.

There are two ways to look at the Melodic minor scale (well this is how I look at it).

The simplest way is to consider it a Major scale (Ionian mode) with a flatted 3rd. So exactly like the Major scale in every way but you drop the third note a semitone.

However considering we are supposed to apply it like we would a minor scale we can view it as the Natural minor scale (Aeolian mode) with a sharp 6th AND a sharp 7th. So in that sense it could even be considered a Harmonic minor with a sharped 6th.

Of course that is when comparing it to those scales. Traditionally we use the Major scale as our metric at all times but as I said earlier that gets too confusing when trying to keep track of modes and chord steps. I much rather avoid those whacky, non stop conversions. You learn the 7 natural modes then alter them as needed to accomodate the modes of Harm and Mel minors.


So let's pretend we are altering the Natural minor scale in its natural modal position which is the 6th step of the Major scale.


First we'll start with the interval step order of the ascending version of the Melodic minor scale which is...

TSTTTTS

Notice that unlike the Harmnic minor there is no tone and a half to create this. We just altered where the two semitones appear. This creates a longer string of whole tones (and thus reducing the number of whole tones in the shorter run of whole tones between the semitones from two down to one).

To clarify this point further here is the natural minor...


TSTTSTT

and again here is the melodic minor...

TSTTTTS


The three whole tone series has been turned into a four whole tone series and the two whole tone series is reduced to one single whole tone.

Now let's take the interval sequence and create the 7 modes of melodic minor just as we did before with both the natural and harmonic minor scales.

In this sequence I will view it from the perspective that we have altered the Natural minor scale so the Melodic minor will appear at the 6th step of the sequence...

TTTTSTS - I Ionian #4/#5

TTTSTST - II Dorian #3/#4

TTSTSTT - III Phrygian #2/#1

TSTSTTT - IV Lydian #1/#2

STSTTTT - V Mixolydian #7/#1

TSTTTTS - VI Aeolian #6/#7 (Melodic minor)

STTTTST - VII Locrian #5/#6


This time I did not bother doing the sharp/augmented conversion because I've been typing this for too long as it is but essentially you just take the natural mode listed and sharp the steps indicated to acheive the Melodic minor mode for that step.

Now as to the usage of the melodic minor. In classical is where you will find that weird ascending/descending thing. Of course this has bled into more modern music but that concept seems to be rarer. Actually it seems to more manifest itself by way of non diatonic scales with little chromatic runs in it like the bebop/mixoblues scales. I honestly haven't spent a lot of time trying to understand the ascending descending nonsense so a classically trained individual would have to chime in.

As far as using the pure ascending version, like they do in jazz, I personally find the melodic minor scale (which in this sense is more likely to be referred to as the Jazz minor scale) kind of... well not really useful. It kind of comes off as hokey, wandering and pointless unless played just so. It's a good variation to toss in while improvising but all in all I don't like it. Some of the modes however are cool and analyzing the chord sequence produced by it is very interesting from a theoretical perspective.

Really it has been a while since I sat down and really played with melodic minor so I can't provide you any good progressions to try.

The modes of melodic minor and some of it's derivatives have some interesting names based in some really mind twisting theory but it really is easier to just think of the natural modes and raise the necessary notes to get it all absorbed mentally (it's easier to remember this way) and THEN worry about all that other silliness later. At least it was for me.

====================================================================

Conclusion.

So that was a rather rambling (and mostly unedited) post that seems to ahve turned into an almost mini lesson/article.

To sum it all up and make it easier to absorb do this.

Learn the Major scale in C Major.

Now learn all the modes of C Major.

That is all just playing on the white keys octave to octave going from C to C, D to D, E to E, etc. Very simple.

Now make sure to number each of those steps in your mind from 1 to 7 (the 8th step of course bringing you back to C Major an octave higher than where you started).

Learn and memorize the name of the natural modes which are, in order:

I Ionian (Natural Major)

II Dorian

III Phrygian

IV Lydian

V Mixolydian

VI Aeolian (Natural minor)

VII Locrian


Now always remember that the minor scale appears on the 6th step of your modal sequence.

To "solve" the harmonic modes add one semitone to the 7th step of the Aeolian mode (natural minor).

Now the notes will never change for any of the keys. Just the starting point of the scale.

So since we are adding a semitone to the 7th note of the Aeolian mode of C major we end up with...


A B C D E F G# A


We now can just move through all the modes one starting note at a time. To get back to Ionian we move up to the C which gives us...

C D E F G# A B C

Which we could call Harmonic Ionian or Ionian Augmented 5th or Ionian #5 or the way it seems to be called in traditional theory simply Ionian Augmented (which is woefully lacking in description for my taste).

Then you can simply start moving through the notes one at a time to create the modes of harmonic minor just like we did with the natural modes.

To change keys just take the tone/semitone pattern of harmonic minor and apply it to the correct note (so if you want to create G harmonic minor start on G, plug in the tone/semitone pattern and repeat what we have just done... you'll end up with a different amount of black keys in different locations as you move through each key but the pattern and concept stays the same).


To acheive melodic minor do the exact same thing except this time sharp the 6th and 7th notes of the natural minor scale/Aeolian mode. Then move through everything as we have been doing keeping track of where those sharped notes appear.

Of course with melodic minor you could also take the Major scale (Ionian mode) sequence and flat the third by a semitone. You do however have to remember that you are NOT altering the Ionian mode so you cannot label it as if you were. It needs to be conceptual considered the 6th step of sequence. This gets particualrly confusing because in traditional theory when you switch to minor scales the VI becomes the I BUT it still appears at the same position in the sequence... which is why I hate the way that crap is taught. It shoudl ALWAYS be first thought of as the VI step of the Major scale then translated from there.

Also many commonly used names from jazz and other theories will skew things further because they will name some of these harmonic and melodic minor modes simply based on their similarities to their natural mode counterparts instead of the actual position in the 7 mode sequence.

For example the I mode in the melodic minor sequence is often referred to as Lydian Augmented even though it occupies the I spot which is where Ionian is in the natural modes. The only reason this is is because it is more physically similar to the lydian mode except with an augmented (sharp) 5th. This is extremely misleading and puts everything completely out of order. That is only one example.

So keep your modes straight in your head, where they appear, how they appear and make your modifications from there. THEN go scout out the various dumb names used.

Math first.

Cheers... and sorry if that is too long or confusing. I normally edit this kind of crap down when writing my actual lesson stuff but perhaps it will be helpful figuring this nonsense out... and believe me it is indeed unnecessarily nonsensical.


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Beepster
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Re: Music Theory (and all that jazz)... 2015/05/20 13:09:28 (permalink)
lol... seems you got some decent replies since I last refreshed.
 
Mine is no where near as concise but I think it is important to understand the relationship between the three minors and where they reside in the modal sequence. It certainly has helped me make more use of the buggers.
 
Cheers.
 
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Kamikaze
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Re: Music Theory (and all that jazz)... 2015/05/20 13:13:46 (permalink)
EPIC post Beebster, good work!

 
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Beepster
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Re: Music Theory (and all that jazz)... 2015/05/20 13:22:42 (permalink)
I just hope I didn't put leave too many brainfarts/typos in there. Copypasting from Notepad into these forums tends to screw up formatting too so apologies for any errors. If anyone notices anything faulty let me know and I'll edit it.
 
Lots of speculation and my own personal bending of traditional theory so hopefully that doesn't anger up the blood of the formally trained crowd. lol
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Re: Music Theory (and all that jazz)... 2015/05/20 13:31:37 (permalink) ☄ Helpfulby bapu 2015/05/20 15:14:48
I LIKE X MINOR DEMOLISHED.
 

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synkrotron
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Re: Music Theory (and all that jazz)... 2015/05/20 13:48:50 (permalink)
Jeepers creepers!
 
Let me take some of this stuff in for a bit... So much to read LOL!!! 

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Re: Music Theory (and all that jazz)... 2015/05/20 14:07:10 (permalink) ☄ Helpfulby synkrotron 2015/05/20 23:58:05
For my post it is probably easier to scroll to my conclusion and try to work through the step by step then go back and try to figure out the rest of the stuff I was blathering about. Might more sense getting it under your fingers first and then going through the reasons WHY it all works that way.
 
I should have edited it more too to make it more concise/lucid but yeah... lots of typing. Bored now. SQUIRREL!
 
BTW... you should also take a stab at learning the concept behind the Circle of Fifths. It helps translating all this crap to all 12 keys. I would normally recommend learning how the 7 natural modes work, then the Circle of Fifths then moving on to the Harmonic and Melodic minor.
 
I've got reams of stuff written about the CoF but it's not really in proper lesson format yet.
post edited by Beepster - 2015/05/20 14:14:37
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Re: Music Theory (and all that jazz)... 2015/05/20 14:13:11 (permalink) ☄ Helpfulby synkrotron 2015/05/20 23:58:10
Music theory is a tool - a fascinating tool if you like math and music - but it remains but one tool in a wide array of tools.
 
There are dozens of ways to learn scales. I teach my students the major scale as a pattern of half and whole steps (WWHWWWH) and then I move them to the circle of fifths. The combination seems to reinforce the concept of scale construction, and most of them rapidly reach the point where they can construct any major scale in their heads without any real effort.
 
Next I introduce the seven Greek modes. No, I'm still not sure why, but it seems to work for most students. Again we learn the pattern for each mode, and then we apply the circle of fifths again, although by this point most of them simply add these to their vocabulary.

And once they know the Aeolian mode they also know the natural minor scale. Adding the harmonic and melodic variations seems to come somewhat naturally from there.
 
Some of this is just plain brute memorization, but there are lots of patterns, some of which will make sense to some folks, while other folks will find different patterns.
 
Now let's see how well my pattern memory is working today - I've listed what I think are the more important scales, and the Greek modes below. I've included the number of sharps or flats, which scale tones are altered, whole and half steps, and the names of the notes starting on "C".
Major / Ionian 1 2 3 4 5 6 7CwDwEhFwGwAwBhCLydian1 [class="font5"]♯1 2 3 #4 5 6 7CwDwEwF#hGwAwBhCMelodic Minor (ascending)1 [class="font5"]♭1 [class="font0"]2 [class="font5"]♭[class="font0"]3 [class="font0"]4 [class="font0"]5 [class="font0"]6 1617CwDh♭EwFwGwAwBhCMixo-Lydian1 [class="font5"]♭1 [class="font0"]2 [class="font0"]3 [class="font0"]4 [class="font0"]5 [class="font0"]6 [class="font5"]♭3233CwDwEhFwGwAh♭BwCHarmonic Minor2 [class="font5"]♭1 [class="font0"]2 [class="font5"]♭[class="font0"]3 [class="font0"]4 [class="font0"]5 [class="font5"]♭[class="font0"]6 5051CwDh♭EwFwGh♭AwhBhCDorian2 [class="font5"]♭1 2 [class="font5"]♭[class="font0"]3 [class="font0"]4 [class="font0"]5 [class="font0"]6 [class="font5"]♭6667CwDh♭EwFwGwAh♭BwCNatural Minor /Aeolian3 [class="font5"]♭1 [class="font0"]2 [class="font5"]♭[class="font0"]3 [class="font0"]4 [class="font0"]5 [class="font5"]♭[class="font0"]6 [class="font5"]♭8687CwDh♭EwFwGh♭Aw♭BwCHalf Diminished4 [class="font5"]♭1 [class="font0"]2 [class="font5"]♭[class="font0"]3 [class="font0"]4 [class="font5"]♭[class="font0"]5 [class="font5"]♭[class="font0"]6 [class="font5"]♭108109CwDh♭EwFh♭Gw♭Aw♭BwCPhyrigian4 [class="font5"]♭1 [class="font5"]♭[class="font0"]2 [class="font5"]♭[class="font0"]3 [class="font0"]4 [class="font0"]5 [class="font5"]♭[class="font0"]6 [class="font5"]♭130131Ch♭Dw♭EwFwGh♭Aw♭BwCDiminshed / Locrian5 [class="font5"]♭1 [class="font5"]♭[class="font0"]2 [class="font5"]♭[class="font0"]3 [class="font0"]4 [class="font5"]♭[class="font0"]5 [class="font5"]♭[class="font0"]6 [class="font5"]♭154155Ch♭Dw♭EwFh♭Gw♭Aw♭BwCAltered6 [class="font5"]♭1 [class="font5"]♭[class="font0"]2 [class="font5"]♭[class="font0"]3 [class="font5"]♭[class="font0"]4 [class="font5"]♭[class="font0"]5 [class="font5"]♭[class="font0"]6 [class="font5"]♭180181Ch♭Dw♭Eh♭Fw♭Gw♭Aw♭BwCSome folks prefer to think of the modes as "all the white keys starting on...", which is fine if you are used to the piano keyboard. Many of my students only play guitar, so I try not to emphasize white and black keys<G>!
Major / Ionian 1 2 3 4 5 6 7CwDwEhFwGwAwBhCDorian2 [class="font5"]♭1 2 [class="font5"]♭[class="font0"]3 [class="font0"]4 [class="font0"]5 [class="font0"]6 [class="font5"]♭196197DwShFwGwAwBhCwDPhyrigian4 [class="font5"]♭1 [class="font5"]♭[class="font0"]2 [class="font5"]♭[class="font0"]3 [class="font0"]4 [class="font0"]5 [class="font5"]♭[class="font0"]6 [class="font5"]♭218219EhFwGwAwBhCwDwELydian1 [class="font5"]♯1 2 3 #4 5 6 7FwGwAwBhCwDwEhFMixo-Lydian1 [class="font5"]♭1 [class="font0"]2 [class="font0"]3 [class="font0"]4 [class="font0"]5 [class="font0"]6 [class="font5"]♭236237GwAwBhCwDwEhFwGNatural Minor /Aeolian3 [class="font5"]♭1 [class="font0"]2 [class="font5"]♭[class="font0"]3 [class="font0"]4 [class="font0"]5 [class="font5"]♭[class="font0"]6 [class="font5"]♭256257AwBhCwDwEhFwGwADiminshed / Locrian5 [class="font5"]♭1 [class="font5"]♭[class="font0"]2 [class="font5"]♭[class="font0"]3 [class="font0"]4 [class="font5"]♭[class="font0"]5 [class="font5"]♭[class="font0"]6 [class="font5"]♭280281BhCwDwEhFwGwAwBThe other thing to memorize, or figure out anyway, is the circle of fifths, which looks way cooler in graphic form, but here it is in tabular format - with relative minor scales to boot!
C Major0A MinorG Major1 #E MinorD Major2 #B MinorA Major3 #F# MinorE Major4 #G♭MinorB Major5 #D♭MinorF# Major6 #A♭MinorG♭Major6♭E♭MinorD♭Major5♭B♭MinorA♭Major4♭F MinorE♭Major3♭C MinorB♭Major2♭G MinorF Major1♭D MinorThat ought to get you started<G>...
 
Bill

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synkrotron
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Re: Music Theory (and all that jazz)... 2015/05/20 14:47:03 (permalink)
Blimey... I've got to get off my computer now. I've managed to read through Bob's and Beep's posts, but not Bill's.
 
I'm going to have to make a few trips back to this and I am more than likely going to copy/paste to a word doc or something so I can format and print, or read offline. But, I promise, I will let peeps know how I'm doing...
 
I should also perhaps explain that I've been reading a bit of theory over the years... I just don't stick at it and then stuff that I have learned leaks out of the old brain cells again.
 
Books I have are:-
 
The AB Guide to Music Theory parts I and II, by Eric Taylor (I've had these for years)
 
and The Encyclopedia of Picture Chords for Guitar and Keyboard (pictures always help hahaha)
 
I've also stumbled across this website, which is really helping me:-
 
https://www.basicmusictheory.com/
 
So, yeah... I really appreciate the posts here and as soon as I can get back to my 'puter I'll post some more thoughts, including the reason that prompted to post this in the first place (I've got a chord progression I'm working on and I'm coming unstuck with playing over the top, or if even the progression is a "valid" one).
 
 
cheers
 
andy 

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Re: Music Theory (and all that jazz)... 2015/05/20 15:11:57 (permalink) ☄ Helpfulby synkrotron 2015/05/20 23:58:15
All chord progressions are "valid" if you use the chord to chord approach to melody. Essentially you just set your key/mode up for each chord. Many times you can traverse multiple chords using the same key but when you stick in a chord that doesn't appear in that key you change it up.
 
The opposite of this action is choosing varying modes to play over top of the same chord in a progression which again is setting up a new key.
 
To effectively do either of those things though you of course have to learn about keys, the possible modes within in each and what scales within all that fit over top of which chords.
 
That's why I personally think it's best to become proficient with the natural modes starting in C Major then being able to understand and use the Circle of Fifths to easily construct it all in any key. From there basic chord study is simple (the 7 triads and then 7th chords).
 
THEN making the slight alterations to the modes like we do with Harmonic and Melodic minor and understanding how those alterations change the landscape of the modes and chords therein becomes a lot less daunting.
 
That's not to say you can't toss in those scales if they happen to sound good but you won't understand WHY it sounds good and it'll be kind of trial and error as opposed to calculated tonal decisions.
 
Cheers.
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Re: Music Theory (and all that jazz)... 2015/05/20 15:34:31 (permalink) ☄ Helpfulby synkrotron 2015/05/20 23:58:19
And if all this isn't enough, once you get your head around the "Western" modes and scales you can move on to the many other scales from around the world which are outside that system. :-)
 
Even in Western music there are scales such as the well known "blues scale", the many variations of  which fall somewhere between major and minor but are played against major harmonies.
 
The key thing to remember, and all that really matters, is that if it sounds good it is good and unless you're taking an exam that penalises you for theoretical "mistakes"* never let adherence to musical theory get in the way of good sounding music.
 
*the common or garden roots and fifths "power chord" shifting up and down a guitar neck that propels much of modern popular music being an example - in Western classical theory "consecutive octaves" or "consecutive fifths" are hugely frowned upon as "weak".

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Re: Music Theory (and all that jazz)... 2015/05/20 15:48:21 (permalink)
tlw
And if all this isn't enough, once you get your head around the "Western" modes and scales you can move on to the many other scales from around the world which are outside that system. :-)
 
Even in Western music there are scales such as the well known "blues scale", the many variations of  which fall somewhere between major and minor but are played against major harmonies.
 
The key thing to remember, and all that really matters, is that if it sounds good it is good and unless you're taking an exam that penalises you for theoretical "mistakes"* never let adherence to musical theory get in the way of good sounding music.
 
*the common or garden roots and fifths "power chord" shifting up and down a guitar neck that propels much of modern popular music being an example - in Western classical theory "consecutive octaves" or "consecutive fifths" are hugely frowned upon as "weak".




I've found that almost without fail that, aside from symmetrical scales, pretty much all of those combination and foreign scales fit into/can be defined with modal theory. You just add or remove a note here or there and it'll fit inside of either the natural, harmonic or melodic modes. Then you can easily use the same framework of those to easily navigate, write in and transpose all the weird stuff.
 
Perfect and obvious example is Mixo-Blues which of course is mixolydian with some extra awesome tossed in and you can treat it as such. You can also pretend like it's Dorian with extra notes and come at it from another angle. All like an awesome jigsaw puzzle that can be fit together in many MANY different ways.
 
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Re: Music Theory (and all that jazz)... 2015/05/20 18:23:46 (permalink) ☄ Helpfulby synkrotron 2015/05/20 23:58:27
Few, that is a lot of words.  I don't have the time to read all of it but to add just a little insight to simplify the process from a music theory teacher.  
 
Harmonic Minor- Use for Harmonies.
Melodic Minor- Use for Melodies.  
Natural Minor- Don't use.
 
At least that is the historical context of the scales.  Why?
Because of the importance of the leading tone, or the 7th in major.  It is an essential relationship for establishing a key center for all melodic and Dominant V to Tonic I chord progressions.  v-i is rare V-i is not.
 
Natural minor does not contain a leading tone, so it is not a musical option, it is just a key signature reference "scale"
 
As to melodic minor: In any scale form, ascending to the tonic which requires a rout through the 7th, must contain a leading tone, (not a subtonic, which is what a flat 7 is called) .  BUT!!!  You must also be aware that augmented intervals were rarely if never used, so 6-flat to 7-natural, an augmented 2nd, is out of the question.  To compensate, we also make 6 natural ascending so the melodic line avoids the augmented interval.  Descending does not matter if the plan is to move away from the tonic, so flat 7s and 6s are fine.  
 
Harmonies don't suffer from the needs of a moving line, so only the strong leading tone is kept in "Harmonic" minor. 
 
It is rather silly to see these as forms of scales rather than tonal relationships in the music, as the only minor mode suitable for a stepwise line is melodic.  You will not encounter many harmonic minor melodies outside of modern music and awful Egyptian stereotype music.    
 
 
post edited by rumleymusic - 2015/05/20 18:30:01

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Beepster
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Re: Music Theory (and all that jazz)... 2015/05/20 18:55:39 (permalink) ☄ Helpfulby synkrotron 2015/05/20 23:58:38
I respectfully yet completely disagree. That's the traditional way and it completely shuts out whole universes of musical possibilities. Of course much great music has and will continue to be created using that school of thought but there is no reason to dismiss everything outside of it. It hurts the art as a whole IMO. It is also much more difficult to grasp the bigger picture due to its rigid and exclusionary nature.
 
Of course I would never discourage anyone from learning those concepts. They are useful.
 
BTW... I use natural minor all the time for melodies and improv. It's kind of the default mode of metal and sounds great over all kinds of other music. Nothing wrong with nat minor. It can also be easily transformed into melodic or harmonic minor or any of the minor modes too for mixing up an improv.
 
Also, having listened to some of synkro's compositions, he strikes me as a "modern" music type of dude.
 
I do completely respect the fact you have learned the formal methods to the point of elevation to instructor status. That ain't easy. I just scour dusty old theory books to compare and test my own theories with the "proper" way. None have failed so far (unless I made a mathematical error).
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mettelus
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Re: Music Theory (and all that jazz)... 2015/05/20 20:08:05 (permalink) ☄ Helpfulby synkrotron 2015/05/20 23:58:47
Is always interesting to see folks insights into things. I admit I did not read through this entire thread, but wanted to throw out a quick minor tip... rather than learn three scales, only learn ONE... let me explain...
 
First a quick background... Take a major scale (I am happiest in Gmaj so will use that), make the 6th of your major scale the new tonal center, and you get that natural minor with the same notes. Because of the natural 7th leads into the octave most easily, the "harmonic" minor does this, but leaves a 3 half-step jump that throws of singers... so the 6th was also raised to "ease the jump" (when ascending only) which is the "melodic" minor. For all three scales, the first->fifth are identical.
 
So... we have made Gmaj into Emin (natural) by simply starting on E with the same notes (E, F#, G, A, B, C, D)
 
only the 6th and 7th change... so play this until the tones "sink in"...
 
B->C#->D# (melodic ascending) ->C->B (harmonic descending)
 
The only variation of the natural minor occurs on those notes (and in that ascending/descending pattern), so is no "need" to learn "3 scales," since they is truly only one with variation on application.
post edited by mettelus - 2015/05/20 20:18:13

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Re: Music Theory (and all that jazz)... 2015/05/20 20:55:31 (permalink) ☄ Helpfulby synkrotron 2015/05/20 23:58:54
rumleymusic
Natural Minor- Don't use.
 
At least that is the historical context of the scales.  Why?


Hm. Western European traditional/folk ("old time" in USA speak) musicians and singers might disagree. As might Bob Dylan for that matter (e.g. All Along the Watchtower).

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Re: Music Theory (and all that jazz)... 2015/05/21 00:27:36 (permalink) ☄ Helpfulby synkrotron 2015/05/21 07:28:42
I took music threory from a good teacher 20 years ago. O did well on the exams. I forgot 90% of it becuase you just don't use stuff like that playing in bands and stuff. But it's sure handy to know how to build fancy chords. For live playing I use the Minor and major pentatonic scales 99% of the time. Better known as the blues scale and the country scale. 
For blues scale you stay put in the root key, for country you follow the changes.. and pay attention to when there is a minor chord and drop the 3rd..That's all I know... It also helps your bass playing as bass is all about scales..or just play the root real loud... and fast... 

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Re: Music Theory (and all that jazz)... 2015/05/21 00:46:56 (permalink)
OMG guys...
 
It's 04:53 here in the UK. I'm not sleeping so well at the moment so I thought I'd get up and make a start on putting together some replies worthy of all the posts here. I have to say that the responses are well beyond what I expected...
 
Best way to tackle this, in my mind, is break the task of replying up into manageable chunks.
 
notscruffy1
1. Don't force yourself to learn anything you aren't trying to use.
2. When the theory doesn't make sense it's you. Listen / Read again or decide not to use it.
3. Set real goals in your study. Learning new scales and progressions improve my skill sets in all facets, theoretical and physical.
4. Don't study for studying's sake. Create without regard for knowledge anytime you can.

 
Hi notscruffy1 (Andy is it?), and thanks for your reply. You make some very good points there, especially #4 followed closely by #1. I'm 55 myself and so am struggling more and more now bothering to learn new tricks. It's what I consider to be a fault of mine...
 
Grem
But above all, create!!



Hiya Grem 
Thanks for your input there.
 
batsbrew
pdf of chords on the guitar, the 'ultimate' guitar chord chart...



Hi Rob,
 
Thanks for your reply. I have saved your PDF file and saved for future reference.
 
robert_e_bone
This is a quick and dirty layout of the 3 minor scales Natural, Harmonic, and Melodic.



Hiya Bob, 
 
Thanks for chipping in 
 
I am familiar with the method of T and S for specifying the interval between the notes, but using numbers, as you have shown is an interesting method that I've not seen before.
 
Beepster
We start with the Major scale (Ionian mode).



Wow! Beep... That took a considerable time to type up dood, and all "off the top of your head."
 
There is so much to take in there, but one thing in particular I am going to look into further is Modes. I've know about those modes for quite some time but it was always just "Greek" to me and I therefore just skipped it all. So, with my keyboard in front of me I am going to spend some time going through those modes and how they sound.
 
I've saved your complete post to a document for future reference.
 
wst3
Music theory is a tool - a fascinating tool if you like math and music - but it remains but one tool in a wide array of tools.



Hi Bill,
 
Many thanks for taking the time to type all that. Much appreciated. You mention "memorization," and nowadays this is something of a problem for me... Stuff isn't sticking so well as it used to. I can pick up my guitar and play a Pentatonic minor scale, say in E, and play up and down the fretboard with a reasonable amount of confidence. But trying to adapt to a new scale is causing me problems.
 
I guess that "muscle memory" is the main issue here, coupled with the fact that, even though I've had guitars since the age of nineteen, I have been quite lazy over the last thirty six years, never really trying to learn something new. My worn frets and grubby fret board sadly show that fact up all too plainly...
 
tlw
And if all this isn't enough, once you get your head around the "Western" modes and scales you can move on to the many other scales from around the world which are outside that system. :-)



Hiya dood , and thanks for your input.
 
Like you've pointed out, some of this stuff only covers the Western music theory. I remember, at some point in the distant past, learning that in some cultures, quarter tone intervals are used... Too scary for me that so, for simplicity's sake I'm going to stick with the "easier" Western theory for now (in a much watered down format suitable for my intelligence and intellect  )
 
rumleymusic
I don't have the time to read all of it but to add just a little insight to simplify the process from a music theory teacher.  
 



Hi Daniel,
 
Many thanks for your reply 
 
I'm listening to what you are saying and doing my best to take it all in. So, yeah, thanks 
 
mettelus
Is always interesting to see folks insights into things.



Indeed mettelus, and thanks for your input here 
 
 
 
So, nearly an hour gone, and I think I'm going to hit "Submit Post" before my computer crashes or something...
 
edit:-
 
Cactus Music
I forgot 90% of it because you just don't use stuff like that playing in bands and stuff.

 
Hiya John. Our replies passed in the post LOL.
 
Yeah, I know what you are saying there. Again, I think this is one of my problems, and now that I'm trying to do something a bit different I am struggling...
post edited by synkrotron - 2015/05/21 00:55:58

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#23
synkrotron
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Re: Music Theory (and all that jazz)... 2015/05/21 01:31:50 (permalink)
Okay... Having responded to the original posts by peeps here, I am going to try and cover some of the additional input and counter responses...
 
Beepster
BTW... you should also take a stab at learning the concept behind the Circle of Fifths. It helps translating all this crap to all 12 keys. I would normally recommend learning how the 7 natural modes work, then the Circle of Fifths then moving on to the Harmonic and Melodic minor.

 
Hiya Beep, yeah Circle of Fifths... Been looking at that. Does my head in, though I realise I should try to give this more time and attention. I'm looking at it now in one of my music theory books and it appears to be used to determine the number of sharps or flats in any given major scale. I gather this is one of the more simple uses of the CoF...
 
rumleymusic
Because of the importance of the leading tone, or the 7th in major.  It is an essential relationship for establishing a key center for all melodic and Dominant V to Tonic I chord progressions.  v-i is rare V-i is not.



Okay... I'm sitting in front of my piano keyboard now and I'm reading the above text, using some of my new found knowledge, so bare with me...
 
I understand, now that "V" is the Dominant major chord and "v" is the Dominant minor chord. And, "I" is the major Tonic (root) and "i" is the minor Tonic.
 
So, using C as the root and playing the V-i progression, that is G major followed by C minor. That sounds okay I guess...
 
Now, playing the v-i progression, that's G minor followed by C minor. That sounds okay too, to my ear, but I guess that is because I don't hear those chords with anything else. And is it now that we get onto the subject of Cadence? That is yet another minefield...
 
Beepster
Also, having listened to some of synkro's compositions, he strikes me as a "modern" music type of dude.



LOL, Beep, nicely put, and thanks 
 
I'd be more inclined to say "simple" music, as it is based on what little I have learned about music over the years.
 
For instance, you will have noticed that I mostly compose in the key of C, which is pretty bad I know. For variation I may flatten the seventh. And then I may flatten the third and before I know it I'm in a minor pentatonic, all by accident 
 
 

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#24
synkrotron
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Re: Music Theory (and all that jazz)... 2015/05/21 07:30:21 (permalink)
I'm here again...
 
I've powered up my current "project" and I'm going to try to explain some of my thoughts and issues here.
 
As per usual, I was messing with some sequences to start with (that's what I do... I'm a Tangerine Dream sequencer kind of peep I'm afraid). I simply used my normal boring C minor pentatonic scale to start with.
 
As the project developed, I placed a string track. This started as just one note being placed, starting on the root and therefore C. I made this last for four off 4/4 bars.
 
Following note, same length, was a whole tone down, Bb (as opposed to A#).
 
Next note, G, same length again.
 
And then back up to Bb.
 
That is a progression of C > Bb > G > Bb
 
 
I then thought, let's turn them single notes into triads.
 
Originally, my intention was to use the C minor Pentatonic scale, so I looked at the notes of that scale and worked out what triads would fit with those notes, with the root note at the lowest position in each case.
 
First, the C minor pentatonic scale is made up of the following notes:-
 
C Eb F G Bb C
 
So the only triads that I could find, keeping it "simple" was Cm (C-Eb-G), EbM (Eb-G-Bb), F-sus-4 (F-Bb-C) and Bb-sus-4 (Bb-Eb-F).
 
I couldn't find a triad which starts on G using the notes in the Pentatonic minor scale... Unless I used an inversion, which I didn't want to do. And on top of that, I didn't like the sound of the suspended chords for some reason... Just didn't sound right in the context of my existing sequences, which included a bass line.
 
It was then that I thought, seeing as the C minor Pentatonic scale is made up of notes from the C natural minor scale, I might try looking at chords based on that instead.
 
I therefore ended up with Cm > BbM > Gm > BbM
 
Perhaps a bit too simple, but I was getting somewhere and I thought the progression sounded ok, in context...
 
 
Now, when I pick up my guitar and improvise over the top of this progression, using just the notes from the C minor Pentatonic scale, if I linger on the 2nd note, Eb, it doesn't sound so good and I find myself dropping down to D to “resolve” this. More so over the top of the BbM and Gm chords. So now I am using notes from the C natural minor scale (or, indeed, the melodic or harmonic scales).
 
Further to this, as I'm playing around, I'm finding I'm hitting other notes and thinking, “hey... that sounds okay.2 For instance, A also fits quite well, which is in the melodic minor scaleonly.
 
 
I suppose I just need to keep playing around with stuff and checking up on the theory, listening to what that sounds like, and so on. My Pentatonic muscle memory is being a pain but that can only be overcome with practise. And more practise...
 
Moving forward, yeah, I need to have a look at those Modes. I don't think I need to learn everything... I just don't have the time.
 
 
Thanks again to everyone who has contributed here. I need to stop rambling and get back on with my “project.”

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#25
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Re: Music Theory (and all that jazz)... 2015/05/21 09:52:14 (permalink) ☄ Helpfulby synkrotron 2015/05/21 13:33:21
I'm still half asleep but I think what you'll find is you need to change the scale as the cords change, This was my way of surviving playing Jazz on occasion. And I still only used the pentatonics more or less and tossed in some in between notes that seem to fit. If those notes belong to a scale with a name that's nothing I could ever remember. Brain is too full of lyrics, pedal board settings, and how to run Sonar... 

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#26
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Re: Music Theory (and all that jazz)... 2015/05/21 10:08:00 (permalink) ☄ Helpfulby synkrotron 2015/05/21 13:46:33
CoF is actually also much easier than it looks... especially when you use a keyboard (much weirder on guitar). I'll try to be more concise this time... lol.
 
One of the main things to remember is that in diatonic (seven note scale) theory we never skip or repeat a letter name. In ALL 12 keys we use ALL seven note names which of course are ABCDEFG. All we do is add sharps OR flats (never both) and change WHICH letter name we start on to create our scale pattern.
 
When constructing the Circle of Fifths we use the Major scale pattern of TTSTTTS. Of course after we are done we can then break each Major key down into its individual modes.
 
You start with the key of C Major which has no sharps or flats (so you only play the white keys from C to C).
 
C  D  E  F  G  A  B  C
 
Now add the scale steps. We use Roman numerals for this (I have kept then all capitals so they do not indicate any Major minor chordal stuff... that is another lesson all together and would jsut confuse things). Our most important steps in all this will of course be I and V.
 
I   II   III  IV V  VI VII  I
C  D  E  F  G  A  B  C
 
Now write down the Tone/Semitone sequence underneath it (sorry if the formatting/display is weird... this forum mangles text based graphs and charts but obviously the T's and S's represent the gaps BETWEEN the note names... so C to D is a whole tone, D to E is a whole tone, and so on).
 
I    II   III  IV  V  VI VII   I
C  D  E  F  G  A  B  C
 T  T   S  T  S  T  S
 
Play the scale on your keyboard. Pay attention to how it sounds and where the black keys are (which of course represent the Tones and Semitones... the spaces between the notes).
 
Now all you do is count up to the V, take the note that appears at the V and drag it backward to the I position. In this case the V is G so G becomes the new I. Also do not get confused by the two I notes. That last I is just the octave and is only there as a placeholder to show the final semitone jump. Of course once we move on to G Major that last I will become a G. A diatonic scale is only 7 distinct notes that resolves on it's octave/starting letter note (and hopefully I did not confus eyou more with that... lol, just drag the G backward to the I).
 
So take this...
 
I   II III IV V VI VII I
C  D  E  F  G  A  B  C
 T  T   S  T  S  T  S
 
and do this
 
I   II III IV V VI VII I
G  A  B  C  D  E  F  G
  T  T  S  T  S  T  S
 
Now play those notes on your keyboard (so G to G on the white keys only).
 
It sounds KIND of like the Major scale you played in C but slightly different at the end... right? That's because we are still in the key of C and playing Dominant mode which is Mixolydian.
 
Mixolydian is identical to the Major scale (Ionian mode) with one small but crucial difference. It has a minor 7th (meaning the 7th note has been flatted one semitone in comparison to the Major scale).
 
Off topic but useful info about this little difference is that flatted 7th is what makes the chord we build on the Mixolydian the Dominant chord. If we only play the triad that builds a Major chord (I, III, V) it creates a plain old Major chord just like the one on the Root (I). It is only when we add the 7th to the chord that the difference becomes noticeable. It creates a Dominant 7th chord whereas if we played the I chord with the 7th we get a Major 7th chord. They both create their own distinct sound. Also the Dom 7 chord only appears once in any given natural key whereas there are two Maj7 chords (I and IV) and three minor7 chords (ii, iii and vi). Just a bit of chord knowledge for you. The only other unique chord (built from triads and 7ths) is the diminished chord that appears on the vii and is really only used to move up the tonic for flavor (unless you are a jazz freak or metalhead... then it allows for the Devil's 5th sound made famous by Black Sabbath in their song Black Sabbath).
 
But I digress, so what do we do about that flatted 7th to turn this into a Major scale? Well we sharp it of course.
 
So this...
 
I   II III IV V VI VII I
G  A  B  C  D  E  F  G
  T  T  S  T  S  T  S
 
turns into this...
 
I   II III IV V VI VII I
G  A  B  C  D  E  F#G
  T  T  S  T  S  T  S
 
The F is turned into an F#. Now play the new key with the F#. We now have introduced one black key to the physical scale and one sharp to the 7th step of the scale on paper.
 
Now pay attention to this as it is the entire trick to understanding the Circle of Fifths. As we move through the keys one at a time we will sharp whatever new note appears as the 7th step. We do this until all notes are sharps. Then we'll have to do the ONLY particularly difficult thing about the CoF which is switch to the flat keys but there is a trick to that too I will show you.
 
So let's move on to the next key.
 
The V of G Major is D so let's move that to the I...
 
So take this...
 
I   II III IV V VI VII I
G  A  B  C  D  E  F#G
  T  T  S  T  S  T  S
 
and do this...
 
I   II III IV V VI VII I
D  E  F#G  A  B  C  D
  T  T  S  T  S  T  S
 
Notice that sharp we created last time moved to the III. This is what will always happen as we work through the circle. So now again we have merely changed "modes" (to Mixolydian) instead of keys so again we will sharp that minor 7th which in this case is the C.
 
I   II III IV V VI VII I
D  E  F#G  A  B  C#D
  T  T  S  T  S  T  S
 
Play the notes and you'll see again we have added one more black key.
 
So the action is this...
 
1) Drag the V to I
2) Add a sharp to the VII
3) Repeat
 
Starting from C you can do this a total of five times before weird things start happening. So including C Major you get 6 of the twelve keys using this method before you gotta put your thinking cap back on.
 
Go back to C and start the circle on your own. Go as far as you can and pay attention to what happens as you get further into the circle. Particularly starting at the 7th key where something odd will happen and then again on the 9th key where something really odd will happen. I will explain what is going on and what to do about it below but try this first.
 
 
======================================================================
 
Okay... done? You should have been able to create the keys of C, G, D, A, E and B easily. Then you may have continued but wondered what in the heck was going on witht he next two keys F# and C#. Essentially in those keys to continue the Circle and preserve the letter order (never skipping a letter name or doubling a letter name) you would have to make some seemingly nonsensical sharps.
 
When you go to create the key of F# by dragging the V to I the note that lands on the VII is E. Of course if you sharp the note E you actually end up with an F because E and F are only a semitone apart. There is no physical E#.
 
So what the heck do we do? Well there are two ways to handle this. One is to switch to flats which I will explain later but for now I want to show you a little theoretical slight of hand that is acceptable to use in this situation.
 
We simply proceed as normal and pretend that F is actually E sharp. You write it in the key signature normally by putting the sharp on the top space of the Staff which denotes E. Now have preserved the letter order without using the F twice.
 
Example:
 
The following, if played, would create the tones of the F# Major scale but is theoretically improper because it has repeated the note F even though they are not the same pitch.
 
F# G# A# B  C# D# F  F#
 
This is correct if not a little odd conceptually and confusing to look at on a keyboard.
 
F# G# A# B  C# D# E# F#
 
The same thing happens in the next key C# Major. This time it happens with the B which of course a semitone below C. This means by sharping the B we are actually playing an F but to avoid using B twice we just pretend as if B# exists. Also because we are using all the same notes as we did in F# Major as well we also still have that phoney E# as well.
 
C# D# E# F# G# A# B# C#


Weird, huh? Without going into the flat keys yet I will provide one solution for one key and point out a glitch in the Matrix that I just now noticed (Whoa!).
 
For C# Major you can instead use Db Major which avoids this quirk altogether.
 
For F# Major you can instead use Gb Major but unfortunately that ends up causing the same issue except you end up using a Cb which of course is a B. There is no solution I know of that avoids this problem for this key so this is the ONLY key out of the 12 where you are absolutely FORCED to use enharmonic trickery. I actually just realized that now while typing this all up so hey, here I am learning new stuff too... or I made a mistake but I don't think so. Freaky.
 
Just so you know I use a lower case "b" to denote flats when typing up note names. That has caused confusion in the past. So "Db" means "D flat". M'kay?
 
Moving on...
 
Now we have reached full saturation of sharps. If you try to take another step in the circle you would be forced to double sharp the note that appears at the 7th step.
 
The 5th step of C# Major is G# which results in this...
 
G#  A#  B#  C#  D#  E#  F## G#  


Although double sharps (or flats) are used occasionally they are best to be avoided because they pretty much NEVER serve a useful purpose and will almost always lead to confusion.
 
Enter the Flat Keys and what is sometimes referred to as the Circle of Fourths.
 
There are two ways to continue. We could simply translate the key of G# to use flats but that is kind of a pain in the butt... especially when you are trying to work fast or are just learning the CoF concept.
 
The other, much simpler way is to start back at C and work backwards through the circle and add flats instead of sharps.
 
In the Circle of Fourths what we do is take the IV step and drag it back to the I like this...
 
Take this...
 
I   II III IV V VI VII I
C  D  E  F  G  A  B  C
 T  T   S  T  S  T  S
 
and do this...
 
I   II III IV V VI VII I
F  G  A  B  C  D  E  F
 T  T   S  T  S  T  S
 
Then instead of adding a sharp to the VII we add a flat to the new IV like this...
 
I   II III IV V VI VII I
F  G  A  Bb C  D  E  F
 T  T   S  T  S  T  S
 
Just an interesting thing to note is that F Major is the ONLY key with a non flat or sharp Root note that contains a flat. All the other keys with natural notes as their root will ALWAYS use sharps instead of flats. This can make it a little easier to remember/solve keys.
 
One more step and then you can solve the rest yourself...
 
Take this...
 
I   II III IV V VI VII I
F  G  A  Bb C  D  E  F
 T  T   S  T  S  T  S
 
move the IV to the I (notice that the flat you created in the last step is now the Root)...
 
I   II III IV V VI VII I
Bb C  D  E  F G  A  Bb
 T  T   S  T  S  T  S
 
and add a flat to the IV...
 
I   II III IV V VI VII I
Bb C  D  Eb F G  A  Bb
 T  T   S  T  S  T  S
 
Now work through the keys this way until you run out of flats then continue reading...
 
 
This time you will have had to use seemingly incorrect flats once you got to Gb Major and Cb Major.
 
You will have run out of flats after Cb Major which means you would switch to sharps again to create E Major.
 
Now I could type up how to do the linear transition from Sharps to Flats and vice versa but this is, again, getting very long so I'll just close up with some important tidbits you'll want to be aware of.
 
The enharmonic keys (as in the keys that are tonally the same but can be constructed using either sharps or flats) are...
 
C# Major = Db Major
 
F# Major = Gb Major
 
B Major = Cb Major (Probably best not to use the flat version of this unless there is some odd application I am not aware of)
 
As noted above the ONLY key(s) where you are FORCED to sharp or flat a note "unnaturally" to preserve the letter order is F#/Gb Major where you have to either sharp the E (F# Major) or flat the C (Gb Major). Remember F# Major and and Gb Major are the same key tonally so this is just one key where you are forced to do this enharmonic trick in either version. For the other keys where this occurs you can use their enharmonic equivelents to avoid the issue.
 
Of course what I have shown above is the manual, step by step way of doing things. This was to illustrate the math. You can easily solve sharp key signatures by simply counting the number of sharps in the key sig then, starting at C Major, just keep finding the 5th until you have moved through the same number of steps as there are sharps. For flat key sigs you would do the same thing except finding the 4th instead. Keep in mind that C does NOT have a key sig so you would factor that into your counting.
 
Learning the CoF is not just about writing and solving key sigs. It is extremely helpful for knowing EXACTLY what notes appear in what keys in a quick, logical way. This is more useful on guitar than on piano (because we don't have handy dandy sharp/flat markers like those black keys) but if you know the key but are sketchy on the notes you can just move take a pencil and paper (or do it mentally) and quickly work through the circle until you reach the correct key. You then just add the appropriate sharps or flats. No guesswork or fumbling for notes.
 
By getting familiar with all this it also makes identifying relative minors and modes much easier. You will start being able to identify what key these relative scales belong to which helps navigating keys, writing and improvising easier. It will also make it easier to identify "accidentals" that don't fit into the key which could denote any number of things like a shift to Harmonic/Melodic minor (which use the same key signatures as their natural minor versions and the accidental notes are written within the music with sharps/flats/naturals) or non-diatonic scales like blues scales.
 
I guess, to make a reaching analogy, learning the CoF is to music what learning the multiplication tables is to basic math. Not really but kind of.
 
Hope that helps... and wasn't too rambling/confusing. Pardon any typos or brainfarts. Again I did not edit.
 
Cheers.
post edited by Beepster - 2015/05/21 10:16:32
#27
Beepster
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Re: Music Theory (and all that jazz)... 2015/05/21 10:08:57 (permalink)
Aaand of course the f*cking forum software mangled my formatting. POS. Guess I'd better try to edit that. Urgh!
 
Edit: It'll take forever to clean that up so the forum displays it semi correctly. You're a smart fellow so just use logic. Obviously the scale steps in Roman numerals are supposed to be directly above their correponding note names. Not all squished up and weird. The Tone Semitone stuff seems to ahve more or less stayed where it should be.
 
That drives me up the wall and I can seem to find an appropriate monospace font in the Font Family drop down which is what I usually use when typing things up for web consumption.
 
post edited by Beepster - 2015/05/21 10:21:52
#28
rumleymusic
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Re: Music Theory (and all that jazz)... 2015/05/21 10:34:44 (permalink)
It is okay to disagree, even thought there is nothing to disagree with, please read the context of the post. What I posted was the norm throughout the entirety of the Baroque, Classical, and Romantic eras.  Modal scales disappeared from common practice during the renaissance, and never really came back until French Impressionism in the 20th century.  They are much more popular now, of course.
 
Not that I don't appreciate a good Dorian scale, but Bach, Mozart, Beethoven, and Mahler didn't seem to find any limitations to the Major or Minor modes.  

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#29
synkrotron
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Re: Music Theory (and all that jazz)... 2015/05/21 13:56:29 (permalink)
Beepster
You're a smart fellow so just use logic.



Yeah, dood, I'm cool with that.
 
That's a lot to take in and, as you say, I need to sit there with my keyboard at the same time. I think if I had to answer questions about this lot then I'd probably chuck the towel in now.
 
As Homer Simpson once said, "If something's hard to do, then it's not worth doing. You just stick that guitar in the garage next to your short-wave radio, your karate outfit, and your unicycle, and we'll go and watch TV."
 
Joking apart... I could be biting off more than I can comfortably chew here...
 

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