830297/829939

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Interval information

Ratio

830297/829939

11.13.17.19 [-2 2 3 -3⟩

Size in cents

0.7466189¢

Name

minthtone schismina

19u³17o³3oo1uu2, trinuso-abitholu 2nd

[math]\displaystyle{ \text{d2}^{13,13,17,17,17}_{11,11,19,19,19} }[/math]

Special properties

Tenney height (log₂ nd)

39.3259

Weil height (log₂ max(n, d))

39.3265

Wilson height (sopfr(nd))

156

Harmonic entropy
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])

~1.20503 bits

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

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