User:BudjarnLambeth/Substitute harmonic: Difference between revisions
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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 [[Dual-fifth temperaments|2.3-.3+.5 subgroup temperament]] into a 2.5.767.769 subgroup temperament. | 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 [[Dual-fifth temperaments|2.3-.3+.5 subgroup temperament]] into a 2.5.767.769 subgroup temperament. | ||
= List of substitute harmonics = | == List of substitute harmonics == | ||
Each harmonic is given in octave-reduced [[cent]]s. This list is not exhaustive. | |||
== Substitutes for the 2nd harmonic (1200) == | === Substitutes for the 2nd harmonic (1200) === | ||
* the 1017th harmonic (~1188) | * the 1017th harmonic (~1188) | ||
* the 509th harmonic (~1190) | * the 509th harmonic (~1190) | ||
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* the 1031st harmonic (~12) | * the 1031st harmonic (~12) | ||
== Substitutes for the 3rd harmonic (~702) == | === Substitutes for the 3rd harmonic (~702) === | ||
*the 381st harmonic (~688) | *the 381st harmonic (~688) | ||
*the 763rd harmonic (~691) | *the 763rd harmonic (~691) | ||
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== Substitutes for the 5th harmonic (~386) == | == Substitutes for the 5th harmonic (~386) == | ||
*the 317th harmonic (~370) | *the 317th harmonic (~370) | ||
*the 635th harmonic (~373) | *the 635th harmonic (~373) | ||
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== Substitutes for the 7th harmonic (~969) == | == Substitutes for the 7th harmonic (~969) == | ||
*the 111th harmonic (~953) | *the 111th harmonic (~953) | ||
*the 889th harmonic (~955) | *the 889th harmonic (~955) | ||
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== Substitutes for the 11th harmonic (~551) == | == Substitutes for the 11th harmonic (~551) == | ||
*the 349th harmonic (~537) | *the 349th harmonic (~537) | ||
*the 699th harmonic (~539) | *the 699th harmonic (~539) | ||
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*the 355th harmonic (~566) | *the 355th harmonic (~566) | ||
== Temperaments using substitute harmonics == | |||
== | |||
= See also = | == See also == | ||
* [[Dual-fifth temperaments]] | * [[Dual-fifth temperaments]] | ||
* [[List of octave-reduced harmonics]] | * [[List of octave-reduced harmonics]] | ||