1190/1189
| Interval information |
fowutwenusozoyo 2nd
reduced
(Shannon, [math]\sqrt{nd}[/math])
1190/1189, the pelagisma, is a 41-limit superparticular comma of about 1.5 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
It can be factored into the following superparticular pairs:
- 1197/1196 and 203320/203319
- 1225/1224 and 41616/41615
- 1275/1274 and 17836/17835
- 1395/1394 and 8092/8091
- 1480/1479 and 6069/6068
- 1596/1595 and 4675/4674
- 1600/1599 and 4641/4640
- 1683/1682 and 4060/4059
- 2176/2175 and 2625/2624
- 2205/2204 and 2584/2583
Temperaments
Tempering out this comma in the full 41-limit leads to the rank-12 temperament pelagismic. Using the 2.5.7.17.29.41 subgroup leads to the rank-5 temperament pelagic.
Pelagic
Subgroup: 2.5.7.17.29.41
Comma list: 1190/1189
| [⟨ | 1 | 2 | 2 | 4 | 4 | 5 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 1 | -1 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 386.218, ~7/4 = 968.687, ~17/16 = 104.660, ~29/16 = 1029.995
Optimal ET sequence: 4, 9gj, 9, 12m, 13m, 15, 18jm, 21, 22, 25, 31, 37, 43m, 47, 56, 78, 93, 115, 136, 140, 196, 218, 276, 307j, 311, 332, 410, 550, 997jm, 1053j, 1193, 1603jm
Badness (Sintel): 0.045
Etymology
This comma was named by Francium in 2025. It refers to 1190 Pelagia, the asteroid, which in turn was named after Pelageya Shajn, a Russian astronomer and discoverer of minor planets.