275/273
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Ratio | 275/273 |
Factorization | 3^{-1} × 5^{2} × 7^{-1} × 11 × 13^{-1} |
Monzo | [0 -1 2 -1 1 -1⟩ |
Size in cents | 12.636801¢ |
Name | gassorma |
Color name | thuloruyoyo negative 2nd |
FJS name | [math]\text{d}{-2}^{5,5,11}_{7,13}[/math] |
Special properties | reduced |
Tenney height (log_{2} n⋅d) | 16.196 |
Weil height (max(n, d)) | 275 |
Benedetti height (n⋅d) | 75075 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~3.01508 bits |
Comma size | small |
open this interval in xen-calc |
In just intonation, 275/273 is a no-twos 13-limit comma, gassorma, measuring about 12.6¢. It can be expressed as (5/3) / (13/11 * 7/5), (5/3) / (14/11 * 13/10), (10/7) / (13/11 * 6/5) and (10/7) / (12/11 * 13/10), among other expressions. In terms of commas, it is the difference between 50/49 and 78/77.
Temperaments
Tempering out this comma in the 13-limit results in the rank-5 gassormic temperament and enables gassormic chords. Equal temperaments which temper out this comma include 10, 15, 22, 26, 29, 31, 41, 53 and others; in such systems, 7/5 and 55/39 are equated.