1188/1183
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| Ratio | 1188/1183 |
| Factorization | 22 × 33 × 7-1 × 11 × 13-2 |
| Monzo | [2 3 0 -1 1 -2⟩ |
| Size in cents | 7.301715¢ |
| Name | kestrel comma |
| Color name | 3uu1or-2, thuthuloru negative 2nd |
| FJS name | [math]\text{d}{-2}^{11}_{7,13,13}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 20.4226 |
| Weil height (log2 max(n, d)) | 20.4286 |
| Wilson height (sopfr(nd)) | 57 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.68212 bits |
| Comma size | small |
| open this interval in xen-calc | |
1188/1183, the kestrel comma, is a small 13-limit comma measuring about 7.30 ¢.
In terms of commas, it is the difference between 176/175 and 676/675. It factors into (540/539)(847/845) or (352/351)(729/728).
Temperaments
Tempering out this comma in the 13-limit leads to the rank-5 kestrel temperament, and enables kestrel chords.
Etymology
This comma was named by Gene Ward Smith in 2011[1].