352/351: Difference between revisions
Expansion |
m +a fairly intuitive alternative name: "13/11-kleisma", found in sagittal notation |
||
| Line 4: | Line 4: | ||
| Monzo = 5 -3 0 0 1 -1 | | Monzo = 5 -3 0 0 1 -1 | ||
| Cents = 4.92528 | | Cents = 4.92528 | ||
| Name = minthma | | Name = minthma, <br>13/11-kleisma | ||
| Color name = | | Color name = | ||
| FJS name = P1<sup>11</sup><sub>13</sub> | | FJS name = P1<sup>11</sup><sub>13</sub> | ||
| Line 10: | Line 10: | ||
}} | }} | ||
The '''minthma''', '''352/351''', is a [[13-limit]] (also 2.3.11.13 subgroup) [[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 '''13/11-kleisma''', '''352/351''', is a [[13-limit]] (also 2.3.11.13 subgroup) [[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]]. | ||
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. | 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. | ||
Revision as of 06:55, 28 September 2020
| Interval information |
13/11-kleisma
reduced
The minthma or 13/11-kleisma, 352/351, is a 13-limit (also 2.3.11.13 subgroup) 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.
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.