Cantonisma
Jump to navigation
Jump to search
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]\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]\sqrt{nd}[/math])
~1.21862 bits
Comma size
unnoticeable
S-expression
S13 / S14
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
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].