27048/27047
| Interval information |
fothuthisutwethosuzozo unison
reduced
(Shannon, [math]\sqrt{nd}[/math])
27048/27047, the jangongisma, is a 43-limit superparticular comma of about 0.064 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
- 3312/3311 and 3774/3773
- 7956/7955 and 11271/11270
- 9504/9503 and 14652/14651
It can be factored into the superparticular intervals 27456/27455 and 1820105/1820104.
Temperaments
Tempering out this comma in the full 43-limit leads to the rank-13 temperament jangongismic. Using the 2.3.7.17.23.37.43 subgroup leads to the rank-6 temperament jangongic.
Jangongic
Subgroup: 2.3.7.17.23.37.43
Comma list: 27048/27047
| [⟨ | 1 | 1 | 2 | 4 | 4 | 5 | 3 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | 0 | 2 | ], |
| ⟨ | 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 = 701.954, ~7/4 = 968.818, ~17/16 = 104.964, ~23/16 = 628.264, ~37/32 = 251.358
Optimal ET sequence: 5i, 5g, 7dgin, 7l, 10, 14l, 17g, 22n, 31, 32, 36, 46n, 48n, 50, 53, 60ln, 72in, 82, 99, 125, 135, 147, 171, 176, 181, 207, 229, 328, 436, 472, 535, 706, 764, 800, 913, 1007, 1089, 1142, 1236, 1417, 1614, 1624, 1853, 1942, 2149, 2559, 3031, 3566, 5944, 6597, 6826, 7033, 7361, 8975, 9510, 10599
Badness (Sintel): 0.042
Etymology
This comma was named by Francium in 2025. It refers to 27048 Jangong, the asteroid, which in turn was named after Jan Jiawei Gong, a finalist in the 2011 Intel Science Talent Search.