3125/2916: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = sixix comma
| Name = sixix comma
| Color name = y<sup>5</sup>1, quinyo unison
| Comma = yes
| Comma = yes
}}
}}

Revision as of 19:23, 22 March 2024

Interval information
Ratio 3125/2916
Factorization 2-2 × 3-6 × 55
Monzo [-2 -6 5⟩
Size in cents 119.8386 ¢
Name sixix comma
Color name y51, quinyo unison
FJS name [math]\displaystyle{ \text{AA1}^{5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 23.1194
Weil norm (log2 max(n, d)) 23.2193
Wilson norm (sopfr(nd)) 47
Comma size large
Open this interval in xen-calc

3125/2916, or the sixix comma (119.839 cents in size) is the comma which defines the sixix temperament, a temperament available in 25edo, 32edo and 43edo.

If treated as a melodic interval rather than a comma, then it is very well approximated by one step of 10edo. This is realized in the neon temperament, with the [21 60 -50⟩, the neon comma being the difference between a stack of 10 3125/2916's and the octave.

See also