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Interval information
Ratio 364/363
Factorization 22 × 3-1 × 7 × 11-2 × 13
Monzo [2 -1 0 1 -2 1
Size in cents 4.7626826¢
Names minor minthma,
minor gentle comma
Color name 3o1uuz2, tholuluzo 2nd,
Tholuluzo comma
FJS name [math]\text{m2}^{7,13}_{11,11}[/math]
Special properties superparticular,
Tenney height (log2 nd) 17.0116
Weil height (log2 max(n, d)) 17.0156
Wilson height (sopfr (nd)) 49
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.40762 bits
Comma size small
open this interval in xen-calc

364/363, the minor minthma or minor gentle comma, is a small 13-limit no-5 comma measuring about 4.8 ¢. It is the amount by which an undecimal major third 14/11 and a tridecimal minor third 13/11 exceed a just perfect fifth 3/2.

Commatic relations

In terms of commas, it is the difference between the following superparticular pairs:

It factors into the following superparticular pairs:

Not to mention some nonsuperparticular but useful relations:


Tempering out this comma leads to a form of minor minthmic temperament (full 13-limit rank-5) or minorminth temperament ( subgroup rank-4), which enables minor minthmic chords.

History and etymology

This comma was known as the gentle comma from 2011. In 2022, Margo Schulter requested it should be changed to minor/lesser gentle comma to distinguish it from 352/351, which would gain the name major/greater gentle comma. The minor minthma was also added to this comma in contrast to the major minthma of 352/351. Both commas were essential to define the gentle temperament.

See also