275/273
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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]\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]\sqrt{nd}[/math])
~2.53683 bits
Comma size
small
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
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.