33264/33263
Interval information |
thisuthiwutwenulozo unison
reduced
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
33264/33263, the maryrogersisma, is a 37-limit superparticular comma of about 0.052 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
- 900/899 and 925/924
- 2016/2015 and 2146/2145
- 2295/2294 and 2465/2464
- 3220/3219 and 3565/3564
- 5292/5291 and 6293/6292
- 8092/8091 and 10693/10692
- 8991/8990 and 12321/12320
- 9177/9176 and 12673/12672
- 11340/11339 and 17205/17204
- 11781/11780 and 18241/18240
- 13950/13949 and 24025/24024
- 16170/16169 and 31465/31464
It can be factored into the following superparticular ratios:
- 34596/34595 and 863940/863939
- 35816/35815 and 466830/466829
- 38962/38961 and 227448/227447
- 45696/45695 and 122265/122264
- 47916/47915 and 108780/108779
- 49248/49247 and 102487/102486
- 53361/53360 and 88320/88319
Temperaments
Tempering out this comma in the full 37-limit leads to the rank-11 temperament maryrogersismic. Using the 2.3.7.11.29.31.37 subgroup leads to the rank-6 temperament maryrogersic.
Maryrogersic
Subgroup: 2.3.7.11.29.31.37
Comma list: 33264/33263
[⟨ | 1 | 1 | 2 | 3 | 4 | 4 | 4 | ], |
⟨ | 0 | 1 | 0 | 0 | 0 | 0 | 3 | ], |
⟨ | 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 = 701.952, ~7/4 = 968.822, ~11/8 = 551.313, ~29/16 = 1029.588, ~31/16 = 1145.046
Optimal ET sequence: 5, 9jk, 10, 14l, 17, 22, 32j, 41, 48, 55l, 72k, 75ej, 77, 99ek, 103l, 121kl, 125, 135, 176, 301, 400, 436, 477, 612, 1029, 1084, 1164, 1443, 1619, 1641, 2248, 2549, 2684, 2725, 2860, 4501, 6421, 9281
Badness (Sintel): 0.047
Etymology
This comma was named by Francium in 2025. It refers to 33264 Maryrogers, the asteroid, which in turn was named after a teacher.