2601/2600

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Interval information
Ratio 2601/2600
Factorization 2-3 × 32 × 5-2 × 13-1 × 172
Monzo [-3 2 -2 0 0 -1 2
Size in cents 0.66573123¢
Name sextantonisma
Color name 17oo3ugg2, sosothugugu 2nd,
Sosothugugu comma
FJS name [math]\text{d2}^{17,17}_{5,5,13}[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 22.6891
Weil height (log2 max(n, d)) 22.6897
Wilson height (sopfr (nd)) 69
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.39934 bits
Comma size unnoticeable
S-expression S51
open this interval in xen-calc

2601/2600, the sextantonisma, is a 17-limit (also 2.3.5.13.17 subgroup) superparticular comma measuring about 0.67 cents. It may be properly described as the septendecimal sixth-tones comma, since it is the difference between 51/50 and 52/51, the two 17-limit sixth-tones. Another prominent identity is the little gap between 18/13 and a stack of two 20/17's.

Commatic relations

In terms of commas, it is the difference between the following pairs:

Temperaments

Tempering out this comma in the 17-limit results in the rank-6 sextantonismic temperament, or in the 2.3.5.13.17 subgroup, the rank-4 sextantonic temperament. In either case 26/25 is split into two equal parts, each representing 51/50~52/51, and enables the sextantonismic chords.

Etymology

The sextantonisma was named by Flora Canou in 2023. It is a contraction of septendecimal sixth-tones comma into a single word consisting of Latin sextans ("sixth") and tonus ("tone").

See also