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	3u1oryy-2, Thuloruyoyo comma
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, the gassorma, is a small no-2's 13-limit comma measuring about 12.6 cents. 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, between 66/65 and 126/125, between 99/98 and 351/350, between 100/99 and 364/363, and between 121/120 and 1001/1000. It factors into (225/224)⋅(352/351).

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, 94 and others; in such systems, 7/5 and 55/39 are equated.

94edo has a step size close to this, but it tempers it out by patent val.