1176/1175
| Interval information |
fosubizogu 2nd
reduced
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
1176/1175 is a 47-limit superparticular comma of about 1.5 cents. It forms the amount by which a stack consisting of two 7/5s and one 48/47 exceeds an octave.
Commatic relationships
This comma is the difference between the following superparticular pairs:
It can be factored into the following superparticular ratios:
- 1184/1183 and 173901/173900
- 1190/1189 and 99876/99875
- 1197/1196 and 66976/66975
- 1216/1215 and 35721/35720
- 1225/1224 and 29376/29375
- 1276/1275 and 14994/14993
- 1296/1295 and 12691/12690
- 1364/1363 and 8526/8525
- 1458/1457 and 6076/6075
- 1596/1595 and 4466/4465
- 1666/1665 and 3996/3995
- 1701/1700 and 3808/3807
- 1740/1739 and 3626/3625
- 1764/1763 and 3526/3525
- 1881/1880 and 3136/3135
- 2016/2015 and 2821/2820
- 2116/2115 and 2646/2645
- 2304/2303 and 2401/2400
Temperaments
Tempering out this comma in the full 47-limit leads to the rank-14 temperament lucidorismic. Using the 2.3.5.7.47 subgroup leads to the rank-4 temperament lucidoric.
Lucidoric
Subgroup:2.3.5.7.47
Comma list: 1176/1175
| [⟨ | 1 | 1 | 2 | 2 | 4 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 1 | 0 | -2 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 2 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.912, ~5/4 = 386.497, ~7/4 = 968.557
Optimal ET sequence: 7do, 8do, 10, 12, 19o, 27, 31, 53o, 60, 68, 72, 99, 171, 270, 571, 742, 841o, 1012o, 1583oo, 1853oo
Badness (Sintel): 0.087
Proposed names
Francium proposed the name lucidorisma in 2025. It refers to 1176 Lucidor, the asteroid, which in turn was named after an amateur astronomer.