1463/1462
1463/1462, the nordenmarkisma, is a 43-limit superparticular comma of about 1.2 cents.
| Interval information |
fothunosulozo unison
reduced
Commatic relationships
This comma is the difference between the following superparticular pairs:
It can be factored into the following superparticular ratios:
- 1480/1479 and 127281/127280
- 1540/1539 and 29241/29240
- 1596/1595 and 17545/17544
- 1701/1700 and 10450/10449
- 1729/1728 and 9504/9503
- 1764/1763 and 8569/8568
- 1936/1935 and 5985/5984
- 2925/2924 and 2926/2925
Temperaments
Tempering out this comma in the full 43-limit leads to the rank-13 temperament nordenmarkismic. Using the 2.7.11.17.19.43 subgroup leads to the rank-5 temperament nordenmarkic.
Nordenmarkic
Subgroup: 2.7.11.17.19.43
Comma list: 1463/1462
| [⟨ | 1 | 2 | 3 | 4 | 4 | 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, ~7/4 = 968.715, ~11/8 = 551.149, ~17/16 = 105.191, ~19/16 = 297.259
Optimal ET sequence: 4, 5, 6h, 10hn, 11, 20n, 21, 24, 25n, 26, 32, 43n, 52, 56, 57, 89, 118, 150, 161, 207, 218, 368, 425, 431, 549, 581, 638, 799, 1006, 1437
Etymology
This comma was named by Francium in 2025. It refers to 1463 Nordenmarkia, the asteroid, which in turn was named after Nils Viktor Emanuel Nordenmark, a Swedish astronomer.