Cantonisma
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Ratio | 10985/10976 |
Factorization | 2^{-5} × 5 × 7^{-3} × 13^{3} |
Monzo | [-5 0 1 -3 0 3⟩ |
Size in cents | 1.4189798¢ |
Name | cantonisma |
Color name | 3o^{3}r^{3}y-2, trithoru-ayo negative 2nd |
FJS name | [math]\text{M}{-2}^{5,13,13,13}_{7,7,7}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 26.8453 |
Weil height (log_{2} max(n, d)) | 26.8465 |
Wilson height (sopfr (nd)) | 75 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.21862 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's (trienthirds) falls short of 5/4 (classical major third). It factors into (1716/1715)(4225/4224). It 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.
Etymology
This comma was named by Margo Schulter in 2013 after Gene Ward Smith's canton scale^{[1]}.