I need a formula to combine two tracks with same energy

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guitartrek
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2012/01/15 17:21:52 (permalink)

I need a formula to combine two tracks with same energy

I would like to try combining two different kicks from Superior drummer 2.0.  Both kicks are producing the same "loudness".  I want to combine them so the result is the approximately the same energy as just one of the tracks.  With Dramagog you have a mix ratio, which you could combine both sounds with a simple percentage.   
 
How would I do this with faders?  If my normal setting was 0db for one track, would I set them both at -3db for 50%?  What if I want one to be 70% and the other 30% - how would the faders be set?  Is there a formula for this?
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    Danny Danzi
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    Re:I need a formula to combine two tracks with same energy 2012/01/15 18:49:20 (permalink)
    Geno wrote:

    I would like to try combining two different kicks from Superior drummer 2.0. Both kicks are producing the same "loudness". I want to combine them so the result is the approximately the same energy as just one of the tracks. With Dramagog you have a mix ratio, which you could combine both sounds with a simple percentage.

    This is a "by ear" thing G. When you say they have the same loudness, are you watching a meter to tell you this? If so...a transient in a kick may make it appear louder due to the peak it puts out, but it doesn't mean it's literally the same level as the other kick. When I work with stuff like this, I sometimes like to pan them and listen to what side may actually sound louder to me. This of course means you have to have 2 good working ears. LOL! 

    Geno wrote: How would I do this with faders? If my normal setting was 0db for one track, would I set them both at -3db for 50%? What if I want one to be 70% and the other 30% - how would the faders be set? Is there a formula for this?

    No because you're still stuck with the one that may have more of a transient attack. For example, a kick with more beater in it is only going to attack at the beater hit. A kick with more low end is going to be the louder sound that lasts longer. If we measured these with meters, the beater kick showing the same volume on the meters won't always necessarily be louder...but if that beater impact (like say the Steven Slate Metallica kick) is intense enough, watching the mters while doing this will fool you all the time.

    The way I do it (other than the pan thing I mentioned) is to start with the weaker kick and put it at a level to where it can be heard at all times without being too dominant. Then, add in the one you like and mix in the volume until the reason you chose that kick can be heard along with the original one you started with.  Keep taking turns muting one to see if you're getting the right impact out of each and listen for which may be dominating. Then listen in the mix. Is the weaker one complimenting the stronger kick? (When I say weaker vs. stronger I mean the one you like a little more...there is always one sound we like more than the other) Can you hear enough impact of the stronger kick?

    I do this stuff all the time. Most times, it's just a feel thing. There's a reason you chose both of these kicks. The object really isn't to make sure they are the same level but to make sure they create "an entity" so to speak where they compliment each other like 2 different guitar tones with two different eq's. I never look at my meters or my faders when doing this stuff. I close my eyes and my ears make the choice for me. Sometimes, you may need the weaker one a little louder than the stronger one. In the case of a kick having more beater and the other being deeper with low end....the beater kick may just need to be heard enough for that "click" you get out of it. Therefore, if you made it the same volume as the other, it may be too much due to that transient beater attack. Hope this helps a bit....but to my knowledge, I've never heard of any forumla's for this.

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    drewfx1
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    Re:I need a formula to combine two tracks with same energy 2012/01/15 19:25:53 (permalink)
    The formula for 2 100% identical tracks lined up perfectly (i.e a cloned track) is +6dB (both peak and RMS). But if the tracks aren't 100% identical, RMS will be always less than that. 

    And 2 different perfectly random noise tracks (of sufficient length) would be +6dB peak, +3dB RMS.

    But if your tracks aren't either perfectly random or perfectly identical, there is no real formula - because it depends on how close to identical they are to each other.

     In order, then, to discover the limit of deepest tones, it is necessary not only to produce very violent agitations in the air but to give these the form of simple pendular vibrations. - Hermann von Helmholtz, predicting the role of the electric bassist in 1877.
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    guitartrek
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    Re:I need a formula to combine two tracks with same energy 2012/01/15 20:19:34 (permalink)
    Thanks Danny.  I'm trying two kicks from Superior that seem to be nearly identical in loudness (I'm thinking the guys at toontrack did a pretty good job getting them to be consistent).  They have slightly different qualities, and I like them both, but there are things about both I don't like.  I tried putting them together before and the tone is pretty cool.  But of course the resulting volume is too loud so I have to back them both down.  That's where it would be cool to have a control like Drumagog where I can just change the %mix until I find something I like.  I'll try your technique.

    drewfx1 - Thanks for your formula - If I'm understanding you correctly - I put two identical tracks, and the result will be +6db.  So if I want the result to be 0db, I would back each one down by -6db?  And of course, in my circumstance the two aren't identical, so there really isn't any useful formula I could use.

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    drewfx1
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    Re:I need a formula to combine two tracks with same energy 2012/01/15 23:19:05 (permalink)
    guitartrek


    Thanks Danny.  I'm trying two kicks from Superior that seem to be nearly identical in loudness (I'm thinking the guys at toontrack did a pretty good job getting them to be consistent).  They have slightly different qualities, and I like them both, but there are things about both I don't like.  I tried putting them together before and the tone is pretty cool.  But of course the resulting volume is too loud so I have to back them both down.  That's where it would be cool to have a control like Drumagog where I can just change the %mix until I find something I like.  I'll try your technique.

    drewfx1 - Thanks for your formula - If I'm understanding you correctly - I put two identical tracks, and the result will be +6db.  So if I want the result to be 0db, I would back each one down by -6db?  And of course, in my circumstance the two aren't identical, so there really isn't any useful formula I could use.

    Correct - double the volume is ~+6dB and half the volume is ~-6dB. But when combining things that's only relevant if they're identical.

    But with somewhat different signals you can be sure you won't need to reduce each by more than than 6dB, and also it will probably be at least 3dB or more. So theoretically something between -3dB and -6dB, depending.

    But I'd say Danny's approach to just do it by ear is the best way to go.

     In order, then, to discover the limit of deepest tones, it is necessary not only to produce very violent agitations in the air but to give these the form of simple pendular vibrations. - Hermann von Helmholtz, predicting the role of the electric bassist in 1877.
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    guitartrek
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    Re:I need a formula to combine two tracks with same energy 2012/01/16 00:03:55 (permalink)
    Yeah - in the end it will come down to doing it by ear.  But it's interesting to know what the ballpark range theoretically should be.
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    Bristol_Jonesey
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    Re:I need a formula to combine two tracks with same energy 2012/01/16 07:02:01 (permalink)
    If there's stuff about either kick you don't like & don't want to hear, try EQ'ing it out before you start to blend them in your mix.

    You might find you've gained a smidgen more headroom as well. You might find then that 2dB down will suffice.

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    mattplaysguitar
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    Re:I need a formula to combine two tracks with same energy 2012/01/16 15:42:40 (permalink)
    I'm pretty sure there is actually a formula. I swear I remember studying it at uni. But I can't remember and don't have time to look.

    Either way, don't use the formula, it's only a theoretical approximation anyway. Use your ears. That's what matters.


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    bitflipper
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    Re:I need a formula to combine two tracks with same energy 2012/01/17 11:44:13 (permalink)
    I would like to try combining two different kicks from Superior drummer 2.0.

    If you'll indulge me drifting slightly off-topic, I'd encourage you to look for the second sample somewhere other than in SD2. 


    Consider a synthesized "drum", for example. A synthesizer can let you add precise elements such as increased attack or extreme low end, but when blended under an acoustic sample still sounds organic and natural. 


    Just a thought.


    On the original topic...yes, you can calculate the average RMS for the algebraic sum of any two waveforms, but by the time you'd finished you'd have forgotten why you cared in the first place. Use a non-SD2 sample or synth and you'll have a separate track/fader for adjusting the blend to taste. As a starting point, drop the original by 6db, add in the layered sound and start tweaking.


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    mattplaysguitar
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    Re:I need a formula to combine two tracks with same energy 2012/01/17 15:47:31 (permalink)
    Try setting the two gains for each track as an inversly proportional group so when you bring one down, the other goes up. Not sure how well this would work, but may be worth a look into as it could potentially do everything automatically for you, if you're lucky..


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    guitartrek
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    Re:I need a formula to combine two tracks with same energy 2012/01/17 19:48:50 (permalink)
    Thanks Bit and Matt.  I've given up trying to blend the two kicks and found a good EQ for just one of the Kicks.

    Onother example is setting an in-line effect verses sending to an effects buss.  Let's say you've added a chorus effect in the fx bin of a track and you set the mix ratio to 40% wet.  You could do the same thing by putting the chorus on a buss, and then sending an amount from the track to the buss.  (I do this sometime when I want to put an EQ on the effect only)  How would I get the two methods to be the same?  If I set the chorus on the buss to 100% wet, how much of the instrument track do I send to it to acheive 40% wet? 

    I know that all this will be "by ear" in the end, but there's got to be a formula to equate fader / send levels in db to mix ratios.
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    Bristol_Jonesey
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    Re:I need a formula to combine two tracks with same energy 2012/01/18 08:50:30 (permalink)
    Well, without getting involved in the maths, you could run the chorus @ 40% wet on the buss and have the send to it set wide open (0dB)

    But I would still run it at 100% on the bus and adjust by ear.

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    The Maillard Reaction
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    Re:I need a formula to combine two tracks with same energy 2012/01/18 09:08:45 (permalink)
    I tried to write up an equation last night but I gave up.

    I found it easy to do so using the actual instantaneous peak values of the track but when I tried to approach it by using two identical tracks and fader levels the negative numbers in the fader levels screwed me up and I couldn't write an equation that described it.

    It also works ok for positive fader levels, but not for negative values. I even tried Absolute values, but then it only got more complicated.

    Maybe someone with more math skill can do it.


    Here was the basic equation X = (somepercentage)(X+Y)

    Works great on discrete dBFS values but not on the fader range.

    My guess is that the solution for dealing with the "0" and the positive and negative values on the slider is well known to someone who recognizes the problem.

    It's over my head.


    best regards,
    mike


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