Valentine comma: Difference between revisions

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{{Infobox Interval
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| Ratio = 1990656/1953125
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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)]]. Tempering it out leads to the 5-limit version of [[valentine]] temperament.


== See also ==
[[Category:Valentine]]
* [[Gallery of just intervals]]
 
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Revision as of 15:12, 24 April 2024

Interval information
Ratio 1990656/1953125
Factorization 213 × 35 × 5-9
Monzo [13 5 -9
Size in cents 32.95158¢
Name valentine comma
Color name satritrigu 3rd, sg93
FJS name [math]\displaystyle{ \text{dddd3}_{5,5,5,5,5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 41.8222
Weil norm (log2 max(n, d)) 41.8496
Wilson norm (sopfr(nd)) 86
Comma size medium
Open this interval in xen-calc

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). Tempering it out leads to the 5-limit version of valentine temperament.