## The effect of thresholds and masking on the audibility of audio produc

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Reply #17 –

No, I said it doesn't work the way you imagine for music just because it works for a single sine.

Just show how you push the 3rd harmonic down to 30%, 1%, 0.1% ... relative to the fundamental.

The math:

sin(x)^3

=>

-(sin(3*x) - 3*sin(x))/4

Here you'd need to subtract 3/4*input.

(sin(x)/2)^3

=>

-(sin(3*x) - 3*sin(x))/32

Here it's 3/16*input, so you should already see the problem.

(sin(x)/2+sin(y)/3)^3

=>

sin(2*x - y)/16 - sin(x + 2*y)/24 - sin(2*x + y)/16 - sin(3*x)/32 - sin(3*y)/108 - sin(x - 2*y)/24 + (17*sin(x))/96 + (11*sin(y))/72

Here you can decide what you want to cancel, sin(x) or sin(y)?

This is just with two pure tones that never change frequency or amplitude...

This has nothing to do with blind testing. How would I prove to you that e.g. the 3rd harmonic 30% file does not sound right if you insist it does?