Cantonisma: Difference between revisions

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tried to clarify which is the smaller one
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[[Category:13-limit]]
[[Category:13-limit]]
[[Category:Unnoticeable comma]]
[[Category:Unnoticeable commas]]

Revision as of 22:01, 20 March 2022

Interval information
Ratio 10985/10976
Factorization 2-5 × 5 × 7-3 × 133
Monzo [-5 0 1 -3 0 3
Size in cents 1.41898¢
Name cantonisma
FJS name [math]\displaystyle{ \text{M}{-2}^{5,13,13,13}_{7,7,7} }[/math]
Special properties reduced
Tenney height (log2 nd) 26.8453
Weil height (log2 max(n, d)) 26.8465
Wilson height (sopfr(nd)) 75
Open this interval in xen-calc

10985/10976, otherwise known as the cantonisma, is an unnoticeable comma of the 13-limit with a value of approximately 1.4 cents. It forms the difference by which a stack of three 14/13 (trienthirds) falls short of one 5/4 (major third), and is tempered out in such notable EDOs as 46, 84, 94, 103, 111, 121, 130, 159, 224, 270, 494 and 764, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third.

See also