640/637: Difference between revisions

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'''640/637''', the '''huntma''', is a [[13-limit]] [[small comma]]. It is the amount by which two [[8/7]]s exceed [[13/10]]. By tempering it out is defined the '''huntmic temperament''', which enables the [[huntmic chords]].
'''640/637''', the '''huntma''', is a [[small comma|small]] [[13-limit]] [[comma]]. It is the amount by which two [[8/7]]'s exceed [[13/10]]. It factors into simpler commas as ([[352/351]])⋅([[540/539]]). By tempering it out is defined the '''huntmic''' temperament, which enables the [[huntmic chords]].


== See also ==
It can be expressed in terms of other commas in a number of ways, but three notable ways that correspond to a product or ratio of two [[S-comma]]s are noted here:
* [[Small comma]]
* [[225/224|S15]]⋅[[4096/4095|S64]] = (225/224)⋅(4096/4095)
* [[5120/5103|S8/S9]]⋅[[729/728|S27]] = (5120/5103)⋅(729/728)
* [[64/63|S8]]/([[169/168|S13]]⋅[[196/195|S14]]) = (64/63)/([[91/90]])


[[Category:Huntmic]]
[[Category:Huntmic]]
[[Category:Commas named after composers]]
[[Category:Commas named after composers]]
[[Category:Commas named after music theorists]]
[[Category:Commas named after music theorists]]

Latest revision as of 08:58, 22 May 2026

Interval information
Ratio 640/637
Factorization 27 × 5 × 7-2 × 13-1
Monzo [7 0 1 -2 0 -1
Size in cents 8.134239¢
Name huntma
Color name 3urry-2, thururuyo negative 2nd,
Thururuyo comma
FJS name [math]\displaystyle{ \text{d}{-2}^{5}_{7,7,13} }[/math]
Special properties reduced
Tenney norm (log2 nd) 18.6371
Weil norm (log2 max(n, d)) 18.6439
Wilson norm (sopfr(nd)) 46
Comma size small
Open this interval in xen-calc

640/637, the huntma, is a small 13-limit comma. It is the amount by which two 8/7's exceed 13/10. It factors into simpler commas as (352/351)⋅(540/539). By tempering it out is defined the huntmic temperament, which enables the huntmic chords.

It can be expressed in terms of other commas in a number of ways, but three notable ways that correspond to a product or ratio of two S-commas are noted here: