352/351: Difference between revisions
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The '''minthma''', '''352/351''', is a [[13-limit]] (also 2.3.11.13 subgroup) [[comma]] measuring about 4.9 cents. | The '''minthma''', '''352/351''', is a [[13-limit]] (also 2.3.11.13 subgroup) [[comma]] measuring about 4.9 cents. 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, between the tridecimal quartertone of [[1053/1024]] and the undecimal quartertone of [[33/32]]. Second, it is the difference between various tridecimal intervals and their adjacent undecimal intervals such as 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. | |||
== See also == | == See also == | ||
Revision as of 10:26, 26 September 2020
| Interval information |
reduced
The minthma, 352/351, is a 13-limit (also 2.3.11.13 subgroup) comma measuring about 4.9 cents. 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, between the tridecimal quartertone of 1053/1024 and the undecimal quartertone of 33/32. Second, it is the difference between various tridecimal intervals and their adjacent undecimal intervals such as 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.