275/273

Interval information

Ratio	275/273
Factorization	3-1 × 52 × 7-1 × 11 × 13-1
Monzo	[0 -1 2 -1 1 -1⟩
Size in cents	12.6368¢
Name	gassorma
Color name	thuloruyoyo negative 2nd
FJS name	[math]\displaystyle{ \text{d}{-2}^{5,5,11}_{7,13} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	16.196
Weil norm (log2 max(n, d))	16.2066
Wilson norm (sopfr(nd))	44
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

• Small comma
• Gassormic chords