Mutt comma: Difference between revisions

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|-44 -3 21>, the mutt comma of 6.723 cents, is the amount by which three [[25/24|chromatic semitones]] exceed five 128/125 [[128/125|diesis]]; in other words (25/24)^3/(128/125)^5. Tempering it out leads to [[Mutt_family|mutt temperament]].
{{Infobox Interval
| Icon =
| Ratio = 476837158203125/474989023199232
| Monzo = -44 -3 21
| Cents = 6.72299
| Name = mutt comma
| Color name =
| FJS name =
| Sound =
}}
The '''mutt comma''' ({{Monzo| -44 -3 21 }} = '''476837158203125/474989023199232''') of about 6.7 cents is the amount by which three [[25/24]] (chromatic semitone) exceed five [[128/125]] (diesis); in other words (25/24)^3/(128/125)^5. Tempering it out leads to temperaments of the [[mutt family]].

Revision as of 12:06, 20 December 2020

Interval information
Ratio 476837158203125/474989023199232
Factorization 2-44 × 3-3 × 521
Monzo [-44 -3 21⟩
Size in cents 6.722989¢
Name mutt comma
FJS name [math]\displaystyle{ \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
Open this interval in xen-calc

The mutt comma ([-44 -3 21⟩ = 476837158203125/474989023199232) of about 6.7 cents is the amount by which three 25/24 (chromatic semitone) exceed five 128/125 (diesis); in other words (25/24)^3/(128/125)^5. Tempering it out leads to temperaments of the mutt family.

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