Let’s say I generate 2 tones in two tracks, 324,23 and 521,89. If I play them together I get a different sound, if I use "Tracks > Mix > Mix and Render to New Track " then this combo is mixed into a single track.
What I want to know is, what number is that resulting tone?
I need to put in a spreadsheet (Libreoffice) the formula so that I can put in 2 or more boxes the numbers and then receive the result of that sum of frequencies.
But I haven’t used this sort of math in more than 5 years so I am a bit lost.
Maybe since Audacity is open source the code of what is being done could be “open” but I am not that savvy, so…help please?
The beat frequency is simply the difference frequency. But that’s modulation. It’s not a new tone. If you have two tones one Hz apart you can hear the 1Hz modulation but there is no low-frequency audio. If you low-pass at 1Hz, there will be nothing. Or if you filter-out or subtract-out one of the tones, you’ll get-back the single-remaining tone.
The tones are simply superimposed on each other, both existing at the same time. If you mix a singer an a guitar either acoustically, electronically, or digitally, they both exist simultaneously.
If you hear anything else it’s because your ear is mixing the two tones together. Combinations don’t actually exist. If you notch out one of the two tones from the mix with Effect > Notch Filter, you’re left with the other pure tone. There are no second, third and forth harmonics, overtones, beats, mixtures, etc.
Audacity is not the best tool for scientific experiments. If for no other good reason, if it’s a toss-up between perfect scientific accuracy and sounding good, Audacity will always pop for sounding good.
If you export your duo-tone sound test to a sound file, you may find that Audacity has added dither noise to the mix and if it doesn’t do that, you may get sampling errors from bit depth conversions.
None of this concerns you if you’re recording your guitar.
That’s non-linear mix. That’s what your ear is doing. Half Volume to your ear is barely audible. Free-air volume can double or half many times before your ear runs out of steam. Those are the equations that go into advanced math.