2601/2600
Ratio | 2601/2600 |
Factorization | 2^{-3} × 3^{2} × 5^{-2} × 13^{-1} × 17^{2} |
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 (log_{2} nd) | 22.6891 |
Weil height (log_{2} 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:
- 289/288 and 325/324
- 561/560 and 715/714
- 833/832 and 1225/1224
- 1156/1155 and 2080/2079
- 1275/1274 and 2500/2499
- 1701/1700 and 4914/4913
- 2401/2400 and 31213/31212
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").