351/350: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = ratwolfsma | | Name = ratwolfsma | ||
| Color name = 3orgg1, thorugugu 1sn,<br>Thorugugu comma | | Color name = 3orgg1, thorugugu 1sn, <br>Thorugugu comma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
The '''ratwolfsma''', '''351/350''', is a [[13-limit]] no- | The '''ratwolfsma''', '''351/350''', is a [[13-limit]] no-eleven [[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 [[4375/4374]] small of [[325/324]], and it factors into ([[676/675]])([[729/728]]), ([[540/539]])([[1001/1000]]), ([[441/440]])([[1716/1715]]), or ([[364/363]])([[9801/9800]]). | In terms of commas, it is [[4375/4374]] small of [[325/324]], and it factors into ([[676/675]])([[729/728]]), ([[540/539]])([[1001/1000]]), ([[441/440]])([[1716/1715]]), or ([[364/363]])([[9801/9800]]). | ||
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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''', | Tempering it out leads to the rank-five '''ratwolfsmic temperament''', or in the 2.3.5.7.13 subgroup '''ratwolf temperament''', and enables the [[ratwolfsmic chords]]. | ||
== See also == | == See also == | ||
Revision as of 23:24, 18 August 2023
| Interval information |
Thorugugu comma
reduced
The ratwolfsma, 351/350, is a 13-limit no-eleven 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 4375/4374 small of 325/324, and it factors into (676/675)(729/728), (540/539)(1001/1000), (441/440)(1716/1715), or (364/363)(9801/9800).
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 ratwolfsmic temperament, or in the 2.3.5.7.13 subgroup ratwolf temperament, and enables the ratwolfsmic chords.