351/350: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 351/350 | | Ratio = 351/350 | ||
| Monzo = -1 3 -2 -1 0 1 | | Monzo = -1 3 -2 -1 0 1 | ||
| Line 16: | Line 15: | ||
351/350 and [[352/351]], the minthma, are extremely close in size and make up a consecutive pair of 13-limit superparticular commas. Their difference is [[chalmersia|123201/123200]], the chalmersma, the smallest 13-limit superparticular comma; their sum is [[176/175]], the valinorsma, an 11-limit superparticular comma. | 351/350 and [[352/351]], the minthma, are extremely close in size and make up a consecutive pair of 13-limit superparticular commas. Their difference is [[chalmersia|123201/123200]], the chalmersma, the smallest 13-limit superparticular comma; their sum is [[176/175]], the valinorsma, an 11-limit superparticular comma. | ||
Tempering it out leads to the rank-five ratwolf temperament, enabling the [[ratwolf triad]]. | Tempering it out leads to the rank-five '''ratwolf temperament''', enabling the [[ratwolf triad]]. | ||
== See also == | == See also == | ||
* [[Ratwolf triad]] | * [[Ratwolf triad]] | ||
* [[ | * [[Small comma]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:13-limit]] | [[Category:13-limit]] | ||
[[Category:Small comma]] | [[Category:Small comma]] | ||
[[Category:Ratwolf]] | [[Category:Ratwolf]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
Revision as of 13:34, 8 March 2022
| Interval information |
reduced
The ratwolfsma, 351/350, is a 13-limit no-11 comma measuring about 4.9 cents. It is the difference between 28/27 and 26/25, between 81/70 and 15/13, and between 35/27 and 13/10.
In terms of commas, it is 9801/9800 large of 364/363, and 4375/4374 small of 325/324, and it factors into (676/675)(729/728).
351/350 and 352/351, the minthma, are extremely close in size and make up a consecutive pair of 13-limit superparticular commas. Their difference is 123201/123200, the chalmersma, the smallest 13-limit superparticular comma; their sum is 176/175, the valinorsma, an 11-limit superparticular comma.
Tempering it out leads to the rank-five ratwolf temperament, enabling the ratwolf triad.