352/351: Difference between revisions

Line 4:

| Comma = yes

}}

'''352/351''', the '''major minthma''', '''major gentle comma''' or '''11/13-kleisma''', is a [[small comma|small]] [[13-limit]] (also 2.3.11.13 [[subgroup]]) [[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

'''352/351''', the '''major minthma''', '''major gentle comma''' or '''11/13-kleisma''', is a [[small comma|small]] [[13-limit]] (also 2.3.11.13 [[subgroup]]) [[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:

* ~~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]]; and

* ~~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 chalmersia, the smallest 13-limit superparticular comma; their sum is [[176/175]], the valinorsma, an 11-limit superparticular comma.

== History and etymology ==

@@ Line 4: / Line 4: @@
 | Comma = yes
 }}
-'''352/351''', the '''major minthma''', '''major gentle comma''' or '''11/13-kleisma''', is a [[small comma|small]] [[13-limit]] (also 2.3.11.13 [[subgroup]]) [[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
+'''352/351''', the '''major minthma''', '''major gentle comma''' or '''11/13-kleisma''', is a [[small comma|small]] [[13-limit]] (also 2.3.11.13 [[subgroup]]) [[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:
-* 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]]; and
-* between [[39/32]] and [[11/9]].
+* 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 [[chalmersia|123201/123200]], the chalmersma, the smallest 13-limit superparticular comma; their sum is [[176/175]], the valinorsma, an 11-limit superparticular comma.
+/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 chalmersia, the smallest 13-limit superparticular comma; their sum is [[176/175]], the valinorsma, an 11-limit superparticular comma.
 == History and etymology ==