Cantonisma
(Redirected from 10985/10976)
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| 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.