833/832

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Interval information
Ratio 833/832
Factorization 2-6 × 72 × 13-1 × 17
Monzo [-6 0 0 2 0 -1 1
Size in cents 2.0795607¢
Names horizma,
horizon comma
Color name 17o3uzz2, sothuzozo 2nd,
Sothuzozo comma
FJS name [math]\text{m2}^{7,7,17}_{13}[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 19.4026
Weil height (log2 max(n, d)) 19.4043
Wilson height (sopfr (nd)) 56
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.41718 bits
Comma size unnoticeable
S-expressions S14 / S16,
S49 × S50 × S51
open this interval in xen-calc

833/832, the horizma or horizon comma, is a 17-limit (also 2.7.13.17 subgroup) unnoticeable comma, the difference between 52/49 and 17/16. It is also the difference between 49/48 and 52/51.

Commatic relations

This comma identifies itself as the difference between the following superparticular pairs:

It factors into the following superparticular pairs:

It also factors into the product of the following ultraparticulars:

Temperaments

Tempering out this comma in the 17-limit results in the rank-6 horizmic temperament, or in the 2.7.13.17 subgroup, the rank-3 horizon temperament.

Etymology

The horizma was named by Jerdle in 2021.

See also