364/363: Difference between revisions
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== Temperaments == | == Temperaments == | ||
Tempering out this comma leads to a form of '''minor minthmic | Tempering out this comma leads to a form of '''minor-minthmic''' temperament (full 13-limit rank-5) or '''minorminth''' temperament (2.3.7.11.13 subgroup rank-4), which enables [[minor-minthmic chords]]. | ||
== History and etymology == | == History and etymology == | ||
Latest revision as of 08:28, 10 October 2026
| Interval information |
minor gentle comma
reduced
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:
- 91/90 and 121/120
- 243/242 and 729/728
- 325/324 and 3025/3024
- 351/350 and 9801/9800
- 352/351 and 10648/10647
It factors into the following superparticular pairs:
Not to mention some nonsuperparticular but useful relations:
Temperaments
Tempering out this comma leads to a form of minor-minthmic temperament (full 13-limit rank-5) or minorminth temperament (2.3.7.11.13 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. Gentle was named for the gentle fifth, a mild version of the superpyth fifth.