Valentine comma: Difference between revisions

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'''1990656/1953125''', the '''valentine comma''', is a [[5-limit]] comma, which is the difference between the lesser diesis ([[128/125]]) and the kleisma ([[15625/15552]]). Tempering it out leads to the 5-limit version of [[valentine]] temperament.
The '''valentine comma''' ([[ratio]]: 1990656/1953125, {{monzo|legend=1| 13 5 -9 }} is a [[medium comma|medium]] [[5-limit]] [[comma]]. It is the amount by which a stack of four [[25/24]]'s falls short of [[6/5]], or a stack of five 25/24's falls short of [[5/4]]. In terms of commas, it is the difference between the [[128/125|lesser diesis (128/125)]] and the [[15625/15552|kleisma (15625/15552)]], and is also equal to one-half of the difference between nine 25/24's and a perfect fifth ([[3/2]]). Tempering it out leads to the 5-limit version of [[valentine]] temperament. As it splits the perfect fifth into 9, and equates 5/4 to 5 of these steps, it is related to [[9edf]] and therefore to [[Carlos Alpha]].


== See also ==
[[Category:Valentine]]
* [[Gallery of just intervals]]
 
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