352/351

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
Color name	3u1o1, Thulo comma
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
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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

• between the tridecimal quartertone of 1053/1024 and the undecimal quartertone of 33/32;
• 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.

See also

• Minthmic chords
• Small comma
• List of superparticular intervals