Kuznetsovisma
| Interval information |
thiwotwenolozo 2nd
reduced
(Shannon, [math]\sqrt{nd}[/math])
2233/2232, the kuznetsovisma, is a 31-limit superparticular comma of about 0.78 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
- 145/144 and 155/154
- 187/186 and 204/203
- 280/279 and 320/319
- 385/384 and 465/464
- 406/405 and 496/495
- 435/434 and 540/539
- 609/608 and 837/836
- 931/930 and 1596/1595
- 1015/1014 and 1860/1859
It can be factored into the following superparticular intervals:
- 2262/2261 and 174097/174096
- 2401/2400 and 31900/31899
- 2431/2430 and 27405/27404
- 2465/2464 and 23716/23715
- 2737/2736 and 12122/12121
- 2755/2754 and 11781/11780
- 2926/2925 and 9425/9424
- 3025/3024 and 8526/8525
- 3451/3450 and 6325/6324
- 3969/3968 and 5104/5103
- 4186/4185 and 4785/4784
Temperaments
Tempering out this comma in the full 31-limit leads to the rank-10 temperament kuznetsovismic. Using the 2.3.7.11.29.31 subgroup leads to the rank-5 temperament kuznetsovic.
Kuznetsovismic
Subgroup: 2.3.5.7.11.13.17.19.23.29.31
Comma list: 2233/2232
| [⟨ | 1 | 1 | 2 | 2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -2 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.005, ~5/4 = 386.314, ~7/4 = 968.748, ~11/8 = 551.199, ~13/8 = 840.528, ~17/16 = 104.955, ~19/16 = 297.513, ~23/16 = 628.274, ~29/16 = 1029.343
Kuznetsovic
Subgroup: 2.3.7.11.29.31
Comma list: 2233/2232
| [⟨ | 1 | 1 | 2 | 3 | 4 | 4 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | -2 | ], |
| ⟨ | 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 = 702.005, ~7/4 = 968.748, ~11/8 = 551.199, ~29/16 = 1029.343
Optimal ET sequence: 5k, 7dk, 7, 8d, 9jk, 10, 14, 17k, 22, 31jk, 41, 63, 77, 89, 94, 113, 118k, 135, 301, 311, 342, 436, 477, 612, 1089, 1624, 1925j, 2101j, 2578j, 2713j
Etymology
This comma was named by Francium in 2024. It refers to 2233 Kuznetsov, the asteroid, which in turn was named after Nikolai Kuznetsov, a Soviet partisan and intelligence agent.