Cantonisma

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
Color name	3o3r3y-2, trithoru-ayo negative 2nd
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
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.21862 bits
Comma size	unnoticeable
S-expression	S13 / S14
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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.

See also

• Unnoticeable comma