Mutt comma: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 476837158203125/474989023199232
| Ratio = 476837158203125/474989023199232
| Monzo = -44 -3 21
| Cents = 6.72299
| Name = mutt comma
| Name = mutt comma
| Color name =  
| Color name = L<sup>3</sup>y<sup>21</sup>-6, trila-septriyo negative 6th
| FJS name =
| Comma = yes
| 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]].
 
The '''mutt comma''' ({{monzo|legend=1| -44 -3 21 }}, [[ratio]]: 476837158203125/474989023199232) is a [[small comma|small]] [[5-limit]] [[comma]] of about 6.7 [[cent]]s. It is the amount by which three [[25/24|classical chromas]] exceed five [[128/125|dieses]]; in other words (25/24)<sup>3</sup>/(128/125)<sup>5</sup>.  
 
== 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 "<u>M</u>IDI <u>u</u>nit <u>t</u>empered <u>t</u>uning".  
 
[[Category:Mutt]]
[[Category:Commas named for their regular temperament properties]]