Cantonisma

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Interval information
Ratio 10985/10976
Factorization 2-5 × 5 × 7-3 × 133
Monzo [-5 0 1 -3 0 3
Size in cents 1.4189798¢
Name cantonisma
FJS name [math]\text{M}{-2}^{5,13,13,13}_{7,7,7}[/math]
Special properties reduced
Tenney height (log2 n⋅d) 26.8453
Weil height (max(n, d)) 10985
Benedetti height (n⋅d) 120571360
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.40668 bits
Comma size unnoticeable
S-expression S13 / S14
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