1188/1183

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{nd}[/math])	~1.68212 bits
Comma size	small
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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.