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 height (log2 nd)	16.196
Weil height (log2 max(n, d))	16.2066
Wilson height (sopfr(nd))	44
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~2.53683 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, 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 and others; in such systems, 7/5 and 55/39 are equated.

See also

• Small comma
• Gassormic chords