2871/2870
| Interval information |
fowutwenolorugu unison
reduced
(Shannon, [math]\sqrt{nd}[/math])
2871/2870, the schoberisma, is a 41-limit superparticular comma of about 0.60 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
- 165/164 and 175/174
- 261/260 and 287/286
- 288/287 and 320/319
- 616/615 and 784/783
- 1026/1025 and 1596/1595
It can be factored into the following superparticular ratios:
- 2926/2925 and 152685/152684
- 2976/2975 and 81345/81344
- 3025/3024 and 56376/56375
- 3256/3255 and 24273/24272
- 3773/3772 and 12006/12005
- 4060/4059 and 9801/9800
- 4785/4784 and 7176/7175
- 4901/4900 and 6930/6929
- 5104/5103 and 6561/6560
- 5577/5576 and 5916/5915
Temperaments
Tempering out this comma in the full 41-limit leads to the rank-12 temperament schoberismic. Using the 2.3.5.7.11.29.41 subgroup leads to the rank-6 temperament schoberic.
Schoberic
Subgroup: 2.3.5.7.11.29.41
Comma list: 2871/2870
| [⟨ | 1 | 1 | 2 | 2 | 3 | 4 | 4 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | 0 | 2 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | 0 | -1 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 0 | 0 | -1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 1 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 1 | 1 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.920, ~5/4 = 386.351, ~7/4 = 968.880, ~11/8 = 551.236, ~29/16 = 1029.415
Optimal ET sequence: 5j, 7djjm, 7m, 8d, 8djjmm, 9, 12de, 12, 12jm, 14cjjmm, 15m, 19em, 19, 22, 31, 41, 58, 72, 80, 99em, 103m, 118, 183, 198, 224, 270, 342, 494, 612, 836, 1267, 1308, 1407, 1448, 1506m, 1848j, 1879, 2103, 2221j, 2342m, 2715
Badness (Sintel): 0.142
Etymology
This comma was named by Francium in 2025. It refers to 2871 Schober, the asteroid, which in turn was named after Hans Josef Schober, an Austrian astronomer at the University of Graz.