352/351: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| 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 =  
}}
}}
 
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 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 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 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:Ratio]]
[[Category:Superparticular]]
[[Category:Minthmic]]
[[Category:Minthmic]]
[[Category:Superparticular]]