Mutt comma

Interval information

Ratio	476837158203125/474989023199232
Factorization	2-44 × 3-3 × 521
Monzo	[-44 -3 21⟩
Size in cents	6.722989¢
Name	mutt comma
Color name	L3y21-6, trila-septriyo negative 6th
FJS name	[math]\text{11d}{-6}^{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5}[/math]
Special properties	reduced
Tenney height (log2 nd)	97.5154
Weil height (log2 max(n, d))	97.521
Wilson height (sopfr(nd))	202
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.61117 bits
Comma size	small
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The mutt comma (monzo: [-44 -3 21⟩, ratio: 476837158203125/474989023199232) is a small 5-limit comma of about 6.7 cents. It is the amount by which three classical chromas exceed five dieses; in other words (25/24)³/(128/125)⁵.

Temperaments

Tempering out this comma leads to the 5-limit version of the mutt temperament.

Etymology

This comma was named by Gene Ward Smith in 2004 in terms of the corresponding temperament, mutt, for "MIDI unit tempered tuning".