The main problem is: "Out-of-phase" is an incorrect description of the issue. And has been for years.
Some idiot (prolly an advertisement guy), many years ago, used the wrong word.
The correct term is "reversed polarity." Phase is about the relationship of wavs.
FYI: There is no such thing as a polarity shifter.
references:
http://www.emusician.com/techniques/0768/its-only-a-phase/143776 Phase vs. Polarity
It might be useful at this point to quickly address a common misconception. Phase and polarity do not describe exactly the same thing. As we''ve looked at already, phase is specifically about timing. When you have a phase problem, you have a problem between the timing of two things, such as the distance between two mics or latency between two DAW tracks.
The term
out of polarity refers to two waves that may actually be in phase (i.e., they started at the same time), but whose energy is moving in opposite directions. Polarity does, indeed, relate to the shape of a wave and how it combines with others, but a problem with polarity is not related to a time offset between two similar waves the way phase is (see
Figs. 4a and
b). The effects of the two are often similar: When two sounds have opposite polarity, they look and behave like two sounds that are 180 degrees out of phase. But the solutions to the two problems are different, so it can be useful to differentiate them.
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http://www.sweetwater.com/expert-center/techtips/d--02/14/2002 First, we need to make sure we understand the distinction between polarity and phase of signals. Polarity speaks more to how the positive and negative wires are connected. Phase speaks more to a relative TIME differential between two signals.
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http://totalproaudio.stevebunting.com/30/basics/phase-or-polarity/ The problem is that to invert the phase of an electrical signal simply does not make sense, and what is most commonly meant is actually a polarity inversion.
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This is another example of why fundamental science education should be a top priorty. NOT math and science. SCIENCE does not require math. And Math should not be a prerequisite for science classes.
Math is a tool, like pencil and paper, and crescent wrenches.
Science is a way of observing the universe. A sister to Art.