275/273
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Ratio | 275/273 |
Factorization | 3^{-1} × 5^{2} × 7^{-1} × 11 × 13^{-1} |
Monzo | [0 -1 2 -1 1 -1⟩ |
Size in cents | 12.636801¢ |
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 (log_{2} nd) | 16.196 |
Weil height (log_{2} 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 |
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.