1518/1517
| Interval information |
fowuthisutwetholo unison
reduced
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
1518/1517, the rovaniemisma, is a 41-limit superparticular comma of about 1.1 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
- 165/164 and 185/184
- 297/296 and 369/368
- 575/574 and 925/924
- 616/615 and 1036/1035
- 667/666 and 1189/1188
It can be factored into the following superparticular ratios:
- 1519/1518 and 2304324/2304323
- 1520/1519 and 1152921/1152920
- 1521/1520 and 769120/769119
- 1540/1539 and 106191/106190
- 1600/1599 and 29601/29600
- 1925/1924 and 7176/7175
- 2024/2023 and 6069/6068
- 2871/2870 and 3220/3219
Temperaments
Tempering out this comma in the full 41-limit leads to the rank-12 temperament rovaniemismic. Using the 2.3.11.23.37.41 subgroup leads to the rank-5 temperament rovaniemic.
Rovaniemic
Subgroup: 2.3.11.23.37.41
Comma list: 1518/1517
| [⟨ | 1 | 1 | 3 | 4 | 5 | 4 | ], |
| ⟨ | 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, ~3/2 = 701.923, ~11/8 = 551.168, ~23/16 = 628.017, ~37/32 = 251.685
Optimal ET sequence: 5im, 5, 7im, 10, 10il, 12el, 15m, 17, 24, 29, 31, 41i, 48, 111, 128, 159, 176, 224, 277, 376m, 405, 453, 701, 829m, 877, 1106m, 1154
Badness (Sintel): 0.045
Etymology
This comma was named by Francium in 2025. It refers to 1518 Rovaniemi, the asteroid, which in turn was named after Rovaniemi, Finland.