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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 major minthma,
major gentle comma,
Color name 3u1o1, thulo 1sn,
Thulo comma
FJS name [math]\text{P1}^{11}_{13}[/math]
Special properties superparticular,
Tenney height (log2 nd) 16.9148
Weil height (log2 max(n, d)) 16.9189
Wilson height (sopfr (nd)) 43
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.42367 bits
Comma size small
open this interval in xen-calc

352/351, the major minthma, major gentle comma or 11/13-kleisma is a small 13-limit (also subgroup) 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 chalmersia, the smallest 13-limit superparticular comma; their sum is 176/175, the valinorsma, an 11-limit superparticular comma.


Tempering out this comma leads to a form of major minthmic temperament (full 13-limit rank-5) or majorminth temperament ( subgroup rank-3), which enables major minthmic chords.

History and etymology

This comma was known as the minthma from 2011. The word minthma is a contraction of minor thirds comma into a single word. 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