352/351: Difference between revisions

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{{Infobox Interval

| Name = minthma, 11/13-kleisma

| Name = major minthma, major gentle comma, 11/13-kleisma

| Color name = 3u1o1, thulo 1sn,<br>Thulo comma

| Comma = yes

}}

~~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

'''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 [[16/13]] and [[27/22]]; and

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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.

== History and etymology ==

This comma was known as the ''minthma'' from 2011. In 2022, [[Margo Schulter]] requested it should be changed to ''major''/''greater minthma'' to distinguish it from [[364/363]], which would gain the name ''minor''/''lesser minthma''. The ''major gentle comma'' was also added to this comma in contrast to the ''minor gentle comma'' of 364/363. Both commas were essential to define the [[gentle]] temperament.

== See also ==

* [[~~Minthmic~~ chords]]

* [[Major minthmic chords]]

* [[Small comma]]

* [[List of superparticular intervals]]

[[Category:~~Minthmic~~]]

[[Category:Major minthmic]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = minthma, 11/13-kleisma
+| Name = major minthma, major gentle comma, 11/13-kleisma
 | Color name = 3u1o1, thulo 1sn,<br>Thulo comma
 | Comma = yes
 }}
-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
+'''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 [[16/13]] and [[27/22]]; and
@@ Line 10: / Line 10: @@
 /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.
+== History and etymology ==
+This comma was known as the ''minthma'' from 2011. In 2022, [[Margo Schulter]] requested it should be changed to ''major''/''greater minthma'' to distinguish it from [[364/363]], which would gain the name ''minor''/''lesser minthma''. The ''major gentle comma'' was also added to this comma in contrast to the ''minor gentle comma'' of 364/363. Both commas were essential to define the [[gentle]] temperament.
 == See also ==
-* [[Minthmic chords]]
+* [[Major minthmic chords]]
 * [[Small comma]]
 * [[List of superparticular intervals]]
-[[Category:Minthmic]]
+[[Category:Major minthmic]]