1176/1175: Difference between revisions
Created page with "{{Infobox Interval | Ratio = 1176/1175 | Name = lucidorisma | Color name = 47uzzgg2 <br> fosubizogu 2nd | Comma = yes }} '''1176/1175''', the '''lucidorisma''', is a 47-limit superparticular comma of about 1.5 cents. == Commatic relationships == This comma is the difference between the following superparticular pairs: * 126/125 and 141/140 * 189/188 and 225/224 * 196/195 and 235/234 It can be factored into t..." |
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'''1176/1175''' | '''1176/1175''' is a [[47-limit]] [[superparticular interval|superparticular comma]] of about 1.5 [[cent]]s. It forms the amount by which a stack consisting of two [[7/5]]s and one [[48/47]] exceeds an [[2/1|octave]]. | ||
== Commatic relationships == | == Commatic relationships == | ||
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=== Lucidoric === | === Lucidoric === | ||
[[Subgroup]]:2.3.5.7.47 | [[Subgroup]]:2.3.5.7.47 | ||
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[[Badness]] (Sintel): 0.087 | [[Badness]] (Sintel): 0.087 | ||
== | == Proposed names == | ||
[[Francium]] proposed the name '''lucidorisma''' in 2025. It refers to {{W|1176 Lucidor}}, the asteroid, which in turn was named after an amateur astronomer. | [[Francium]] proposed the name '''lucidorisma''' in 2025. It refers to {{W|1176 Lucidor}}, the asteroid, which in turn was named after an amateur astronomer. | ||
Latest revision as of 23:10, 9 May 2025
| Interval information |
fosubizogu 2nd
reduced
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.