830297/829939

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Interval information
Ratio 830297/829939
Subgroup monzo 11.13.17.19 [-2 2 3 -3
Size in cents 0.74661891¢
Name minthtone schismina
Color name 19u317o33oo1uu2, trinuso-abitholu 2nd
FJS name [math]\text{d2}^{13,13,17,17,17}_{11,11,19,19,19}[/math]
Special properties reduced
Tenney height (log2 nd) 39.3259
Weil height (log2 max(n, d)) 39.3265
Wilson height (sopfr(nd)) 156
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.20503 bits
Comma size unnoticeable
open this interval in xen-calc

830297/829939 is an 11.13.17.19-subgroup unnoticeable comma equal to 0.7466¢, the amount by which three 19/17 wholetones fall short of two 13/11 minor thirds. It is tempered out in 26, 37, 87, 99ef, 111, 124, 137, 224, 311, 422, 460, 535, 935, 971, and 1395edo, as well as in 78, 197, 712, 1045, and 1757edt. Additionally, because 25edo efficiently tunes the 2.13/11.19/17 subgroup, most of its multiples up to 850edo (including 50edo, 198edt, and 400edo) temper out this comma in the prime patent val (alongside (13/11)7(19/34)2).

See also