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 == |