352/351: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 352/351 | | Ratio = 352/351 | ||
| Monzo = 5 -3 0 0 1 -1 | | Monzo = 5 -3 0 0 1 -1 | ||
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| Sound = | | Sound = | ||
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The '''minthma''' or '''11/13-kleisma''', '''352/351''', is a [[13-limit]] (also 2.3.11.13 subgroup) [[small comma]] measuring about 4.9{{cent}}. This comma can be described in a number of ways. First, it is the difference between the tridecimal minor third of [[13/11]] and the Pythagorean minor third of [[32/27]], hence the name ''11/13''-kleisma. Second, it is the difference between various tridecimal intervals and their adjacent undecimal intervals such as | |||
The '''minthma''' or '''11/13-kleisma''', '''352/351''', is a [[13-limit]] (also 2.3.11.13 subgroup) [[small comma]] measuring about 4.9 | * between the tridecimal quartertone of [[1053/1024]] and the undecimal quartertone of [[33/32]]; | ||
* between the tridecimal quartertone of [[1053/1024]] and the undecimal quartertone of [[33/32]] | * between [[16/13]] and [[27/22]]; and | ||
* between [[16/13]] and [[27/22]] | |||
* between [[39/32]] and [[11/9]]. | * between [[39/32]] and [[11/9]]. | ||
352/351 and [[351/350]], the ratwolfsma, 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. | 352/351 and [[351/350]], the ratwolfsma, 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. | ||
== See also == | == See also == | ||
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[[Category:13-limit]] | [[Category:13-limit]] | ||
[[Category:Small commas]] | [[Category:Small commas]] | ||
[[Category: | [[Category:Superparticular]] | ||
[[Category:Minthmic]] | [[Category:Minthmic]] | ||
Revision as of 16:59, 7 April 2022
| Interval information |
11/13-kleisma
reduced
The minthma or 11/13-kleisma, 352/351, is a 13-limit (also 2.3.11.13 subgroup) small comma measuring about 4.9 ¢. This comma can be described in a number of ways. First, it is the difference between the tridecimal minor third of 13/11 and the Pythagorean minor third of 32/27, hence the name 11/13-kleisma. Second, it is the difference between various tridecimal intervals and their adjacent undecimal intervals such as
- between the tridecimal quartertone of 1053/1024 and the undecimal quartertone of 33/32;
- between 16/13 and 27/22; and
- between 39/32 and 11/9.
352/351 and 351/350, the ratwolfsma, 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.