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This is my interpretation of a hexadecatonic quadruple-diminished scale, playable in 24edo. One can think of this as two Wyschnegradsky's octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky's octatonic with tonics to produce four different dominant 7th chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For instance, a movement from V7 to Ihf7 to I7 in A=440hz, | This is my interpretation of a hexadecatonic quadruple-diminished scale, playable in 24edo. One can think of this as two Wyschnegradsky's octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky's octatonic with tonics to produce four different dominant 7th chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For instance, a movement from V7 to Ihf7 to I7 in A=440hz, that I care to deem "the superperfect cadence". |