Valentine comma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
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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]]. | |||
[[Category:Valentine]] | |||
Latest revision as of 05:37, 16 December 2024
| Interval information |
The valentine comma (ratio: 1990656/1953125, monzo: [13 5 -9⟩ is a 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 lesser diesis (128/125) and the 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.