375/256: Difference between revisions

BudjarnLambeth (talk | contribs)
Named the interval
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clarify and expand
 
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{{Infobox Interval
{{Infobox Interval
|Ratio = 375/256
| Ratio = 375/256
|Name = octave reduced 375th harmonic
| Name = triptolemaic double augmented fourth, octave reduced 375th harmonic
| Color name = Ly<sup>3</sup>4, latriyo 4th
}}
}}
'''375/256''', the '''octave reduced 375th harmonic''', is a 5-limit interval produced by combining 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, and is tempered as such in the [[soviet ferris wheel]] temperament.
== 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}}.