375/256: Difference between revisions

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Created page with "{{Infobox Interval |Ratio = 375/256 }} 375/256 is a 5-limit interval produced by combining three 5/4s and one 3/2. It is close to 11 steps of 20edo, and is tempered a..."
 
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{{Infobox Interval
{{Infobox Interval
|Ratio = 375/256
| Ratio = 375/256
| Name = triptolemaic double augmented fourth, octave reduced 375th harmonic
| Color name = Ly<sup>3</sup>4, latriyo 4th
}}
}}
375/256 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.
It is close to 11 steps of [[20edo]], and is tempered as such in the [[soviet ferris wheel]] temperament.

Latest revision as of 00:31, 30 December 2023

Interval information
Ratio 375/256
Factorization 2-8 × 3 × 53
Monzo [-8 1 3
Size in cents 660.8961¢
Names triptolemaic double augmented fourth,
octave reduced 375th harmonic
Color name Ly34, latriyo 4th
FJS name [math]\displaystyle{ \text{AA4}^{5,5,5} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 16.5507
Weil height (log2 max(n, d)) 17.1015
Wilson height (sopfr(nd)) 34
Open this interval in xen-calc

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.