275/273

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Interval information
Ratio 275/273
Factorization 3-1 × 52 × 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 (log2 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.

See also