2058/2057: Difference between revisions
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Created page with "{{Infobox Interval | Name = xenisma | Comma = Yes }} '''2058/2057''', the '''xenisma''', is a 17-limit (also 2.3.7.11.17 subgroup) comma measuring about 0.84 ce..." |
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'''2058/2057''', the '''xenisma''', is a [[17-limit]] (also 2.3.7.11.17 [[subgroup]]) [[comma]] measuring about 0.84 [[cent]]s. | '''2058/2057''', the '''xenisma''', is a [[17-limit]] (also 2.3.7.11.17 [[subgroup]]) [[comma]] measuring about 0.84 [[cent]]s. It is the amount by which a stack of two [[14/11]]'s exceed [[34/21]]. | ||
== Commatic relations == | == Commatic relations == | ||
Revision as of 13:33, 8 March 2023
| Interval information |
reduced
2058/2057, the xenisma, is a 17-limit (also 2.3.7.11.17 subgroup) comma measuring about 0.84 cents. It is the amount by which a stack of two 14/11's exceed 34/21.
Commatic relations
This comma is the difference between the following superparticular pairs:
- 364/363 and 442/441
- 441/440 and 561/560
- 936/935 and 1716/1715
- 1225/1224 and 3025/3024
- 1701/1700 and 9801/9800
Not to mention some nonsuperparticular but useful relations:
It factors into the following superparticular pairs:
- 2401/2400 and 14400/14399
- 2080/2079 and 194481/194480
Temperaments
Tempering out this comma in the 17-limit results in the rank-6 xenismic temperament, or in the 2.3.7.11.17 subgroup, the rank-4 xenic temperament. In either case it enables xenismic chords.
Etymology
The xenisma was named by Margo Schulter in 2012[1].