1188/1183

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Interval information
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{n\cdot d}[/math])
~2.65846 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].

Notes