352/351: Difference between revisions

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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 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]].

The '''minthma''' or '''11/13-kleisma''', '''352/351''', is a [[13-limit]] (also 2.3.11.13 subgroup) [[small 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 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.

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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 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]].
+The '''minthma''' or '''11/13-kleisma''', '''352/351''', is a [[13-limit]] (also 2.3.11.13 subgroup) [[small 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 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]].
 /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.