Commatose: Difference between revisions
Jump to navigation
Jump to search
I'll later format according to monzo template and fill in everything else |
No edit summary |
||
| Line 8: | Line 8: | ||
Subgroup: 2.9.5.7 | Subgroup: 2.9.5.7 | ||
Comma list: | Comma list: {{monzo|28, -2, -19, 8}}, {{monzo|9, -25, 23, 6}} | ||
Mapping: 1 9 6 13, 0 -298 -188 -521 | Mapping: {{val|1 9 6 13}}, {{val|0 -298 -188 -521}} | ||
POTE Generator: 23.4763c ~ 531441/524288 | POTE Generator: 23.4763c ~ 531441/524288 | ||
| Line 19: | Line 19: | ||
Subgroup: 2.9.5.7.11 | Subgroup: 2.9.5.7.11 | ||
Comma list: | Comma list: {{monzo|-7, 7, -3, 2, -4}}, {{monzo|17, 0, -13, 1, 3}}, {{monzo|11, -2, -6, 7, -3}} | ||
Mapping: 1 9 6 13 16, 0 -298 -188 -521 -641 | Mapping: {{val|1 9 6 13 16}}, {{val|0 -298 -188 -521 -641}} | ||
POTE Generator: 23.4766c ~ 531441/524288 | POTE Generator: 23.4766c ~ 531441/524288 | ||
Revision as of 13:46, 1 August 2022
Commatose is a fifthless temperament which uses the Pythagorean comma as a generator. It was developed by Eliora to highlight the near-perfect expression of 9/8 by 1789edo, while at the same time the fact that it completely misses 3/2.
It is defined as 460 & 1789 temperament.
Commatose
2.9.5.7
Subgroup: 2.9.5.7
Comma list: [28, -2, -19, 8⟩, [9, -25, 23, 6⟩
Mapping: ⟨1 9 6 13], ⟨0 -298 -188 -521]
POTE Generator: 23.4763c ~ 531441/524288
Vals: 460, 1329, 1789
2.9.5.7.11
Subgroup: 2.9.5.7.11
Comma list: [-7, 7, -3, 2, -4⟩, [17, 0, -13, 1, 3⟩, [11, -2, -6, 7, -3⟩
Mapping: ⟨1 9 6 13 16], ⟨0 -298 -188 -521 -641]
POTE Generator: 23.4766c ~ 531441/524288
2.9.5.7.11.13
Subgroup: 2.9.5.7.11.13
Comma list: 123201/123200, 1016064/1015625, 2250423:2249390, 2599051/2598156.