User:BudjarnLambeth/Substitute harmonic: Difference between revisions

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A '''substitute harmonic'''{{idiosyncratic}} is a more complex [[harmonic]] which is used to substitute for a simpler one.

For example, you could substitute the 3rd harmonic out for the 769th harmonic, whose [[octave reduction]] is very close to the 3rd harmonic's. By doing this, you could convert a 2.3.5 [[subgroup temperament]] into a 2.5.769 subgroup temperament. Or, you could convert a 3.5.7 [[combination product set]] into a ~~769.~~5.7 combination product set.

For example, you could substitute the 3rd harmonic out for the 769th harmonic, whose [[octave reduction]] is very close to the 3rd harmonic's. By doing this, you could convert a 2.3.5 [[subgroup temperament]] into a 2.5.769 subgroup temperament. Or, you could convert a 3.5.7 [[combination product set]] into a 5.7.769 combination product set.

You could also substitute a simpler harmonic ''n'' in a dual-n temperament for two more complex harmonics, to make a '''dual-substitute-n temperament'''{{idiosyncratic}}. For example, you could convert a 2.3-.3+.5 subgroup temperament into a 2.5.767.769 subgroup temperament.

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 A '''substitute harmonic'''{{idiosyncratic}} is a more complex [[harmonic]] which is used to substitute for a simpler one.
-For example, you could substitute the 3rd harmonic out for the 769th harmonic, whose [[octave reduction]] is very close to the 3rd harmonic's. By doing this, you could convert a 2.3.5 [[subgroup temperament]] into a 2.5.769 subgroup temperament. Or, you could convert a 3.5.7 [[combination product set]] into a 769.5.7 combination product set.
+For example, you could substitute the 3rd harmonic out for the 769th harmonic, whose [[octave reduction]] is very close to the 3rd harmonic's. By doing this, you could convert a 2.3.5 [[subgroup temperament]] into a 2.5.769 subgroup temperament. Or, you could convert a 3.5.7 [[combination product set]] into a 5.7.769 combination product set.
 You could also substitute a simpler harmonic ''n'' in a dual-n temperament for two more complex harmonics, to make a '''dual-substitute-n temperament'''{{idiosyncratic}}. For example, you could convert a 2.3-.3+.5 subgroup temperament into a 2.5.767.769 subgroup temperament.