2376/2375: Difference between revisions
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Created page with "{{Infobox Interval | Name = trichthonisma | Color name = 19u1og<sup>3</sup>1, <br>nulotrigu 1sn, <br>Nulotrigu comma | Comma = yes }} '''2376/2375''', the '''trichthonisma''',..." |
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'''2376/2375''', the '''trichthonisma''', is | '''2376/2375''', the '''trichthonisma''', is an [[unnoticeable comma|unnoticeable]] [[19-limit]] (also 2.3.5.11.19-subgroup) [[superparticular]] [[comma]] of about 0.73 [[cent]]s. It is the amount by which a stack of three [[6/5]]'s exceeds [[19/11]]. By tempering it out is defined the '''trichthonismic temperament''', which enables the [[trichthonismic chords]]. | ||
== Commatic relations == | |||
This comma is the difference between the following superparticular pairs: | |||
* [[96/95]] and [[100/99]] * | |||
* [[126/125]] and [[133/132]] | |||
* [[176/175]] and [[190/189]] | |||
* [[286/285]] and [[325/324]] | |||
* [[324/323]] and [[375/374]] | |||
* [[476/475]] and [[595/594]] | |||
* [[495/494]] and [[625/624]] | |||
* [[1001/1000]] and [[1729/1728]] | |||
* [[1331/1330]] and [[3025/3024]] | |||
* [[1521/1520]] and [[4225/4224]] | |||
* [[1540/1539]] and [[4375/4374]] | |||
* [[1701/1700]] and [[5985/5984]] | |||
* [[1716/1715]] and [[6175/6174]] | |||
It factors into the following superparticular pairs: | |||
* [[3136/3135]] and [[9801/9800]] | |||
* [[2926/2925]] and [[12636/12635]] | |||
* [[2601/2600]] and [[27456/27455]] | |||
* [[2431/2430]] and [[104976/104975]] | |||
* [[2401/2400]] and [[228096/228095]] | |||
<nowiki/>* relation within the 2.3.5.11.19 subgroup | |||
== Etymology == | == Etymology == | ||
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== See also == | == See also == | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:Trichthonismic]] | [[Category:Trichthonismic]] | ||
Revision as of 13:09, 5 November 2024
| Interval information |
nulotrigu 1sn,
Nulotrigu comma
reduced
2376/2375, the trichthonisma, is an unnoticeable 19-limit (also 2.3.5.11.19-subgroup) superparticular comma of about 0.73 cents. It is the amount by which a stack of three 6/5's exceeds 19/11. By tempering it out is defined the trichthonismic temperament, which enables the trichthonismic chords.
Commatic relations
This comma is the difference between the following superparticular pairs:
- 96/95 and 100/99 *
- 126/125 and 133/132
- 176/175 and 190/189
- 286/285 and 325/324
- 324/323 and 375/374
- 476/475 and 595/594
- 495/494 and 625/624
- 1001/1000 and 1729/1728
- 1331/1330 and 3025/3024
- 1521/1520 and 4225/4224
- 1540/1539 and 4375/4374
- 1701/1700 and 5985/5984
- 1716/1715 and 6175/6174
It factors into the following superparticular pairs:
- 3136/3135 and 9801/9800
- 2926/2925 and 12636/12635
- 2601/2600 and 27456/27455
- 2431/2430 and 104976/104975
- 2401/2400 and 228096/228095
* relation within the 2.3.5.11.19 subgroup
Etymology
The name trichthonisma was named by Xenllium in 2023, for the following reason - tempering it out leads dividing an interseptimal interval, 19/11 (octave complement of a chthonic interval, 22/19) in three.