375/256: Difference between revisions

Eliora (talk | contribs)
No edit summary
Eliora (talk | contribs)
clarify and expand
 
Line 6: Line 6:
'''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]], 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}}.