375/256: Difference between revisions
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'''375/256''', the '''triptolemaic double augmented fourth''', which is also the '''octave reduced 375th harmonic''', is a 5-limit interval produced by stacking three [[5/4]]'s and one [[3/2]]. | '''375/256''', the '''triptolemaic double augmented fourth''', which is also the '''octave reduced 375th harmonic''', is a 5-limit interval produced by stacking three [[5/4]]'s and one [[3/2]]. | ||
It is close to 11 steps of [[20edo]], | == Approximation == | ||
It is close to 11 steps of [[20edo]] (660{{c}}). The comma which is the difference between a stack of 20 375/256s and 11 octaves, produces a 5-limit restriction of the [[soviet ferris wheel]] temperament, which divides the octave into 20 parts. Notable equal divisions supporting it and hence repesenting 375/256 consistently as 660{{c}} are {{EDOs|140, 320, 460, and 600}}. | |||
Latest revision as of 15:50, 6 September 2026
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octave reduced 375th harmonic
reduced harmonic
375/256, the triptolemaic double augmented fourth, which is also the octave reduced 375th harmonic, is a 5-limit interval produced by stacking three 5/4's and one 3/2.
Approximation
It is close to 11 steps of 20edo (660 ¢). The comma which is the difference between a stack of 20 375/256s and 11 octaves, produces a 5-limit restriction of the soviet ferris wheel temperament, which divides the octave into 20 parts. Notable equal divisions supporting it and hence repesenting 375/256 consistently as 660 ¢ are 140, 320, 460, and 600.