352/351: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 352/351
| Name = minthma, 11/13-kleisma
| Monzo = 5 -3 0 0 1 -1
| Comma = yes
| Cents = 4.92528
| Name = minthma, <br>11/13-kleisma
| Color name =
| FJS name = P1<sup>11</sup><sub>13</sub>
| 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{{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  
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* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:13-limit]]
[[Category:Small commas]]
[[Category:Superparticular]]
[[Category:Minthmic]]
[[Category:Minthmic]]

Revision as of 15:28, 25 October 2022

Interval information
Ratio 352/351
Factorization 25 × 3-3 × 11 × 13-1
Monzo [5 -3 0 0 1 -1
Size in cents 4.925278¢
Names minthma,
11/13-kleisma
FJS name [math]\displaystyle{ \text{P1}^{11}_{13} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 16.9148
Weil height (log2 max(n, d)) 16.9189
Wilson height (sopfr(nd)) 43
Comma size small
Open this interval in xen-calc

The minthma or 11/13-kleisma, 352/351, is a 13-limit (also 2.3.11.13 subgroup) small comma measuring about 4.9 ¢. 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 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