Sercloreminisma: Difference between revisions
Created page with "{{Infobox Interval | Ratio = 142884/142805 | Name = sercloreminisma | Color name = 3u<sup>4</sup>zzg1 <br>bithuthuzo-agu unison | Comma = yes }} '''142884/142805''', the '''s..." |
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=== Sercloreminismic === | === Sercloreminismic === | ||
Subgroup: 2.3.5.7.11.13 | [[Subgroup]]: 2.3.5.7.11.13 | ||
[[Comma list]]: 142884/142805 | |||
[[Mapping]]: <br> | [[Mapping]]: <br> | ||
| Line 55: | Line 55: | ||
|} | |} | ||
[[Optimal tuning]] ([[CTE]]): 2 = | [[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.913, ~189/169 = 193.164, ~18/13 = 563.168, ~11/8 = 551.318 | ||
{{Optimal ET sequence|legend=1|7, 12de, 17c, 19e, 19, 26, 36, 38df, 43, 49f, 62, 68, 87, 111, 130, 198, 224, 311, 373, 422, 441, 552, 639, 684, 814, 1012, 1236, 1920, 2932, 3156, 4168f, 5715f, 6088f}} | {{Optimal ET sequence|legend=1| 7, 12de, 17c, 19e, 19, 26, 36, 38df, 43, 49f, 62, 68, 87, 111, 130, 198, 224, 311, 373, 422, 441, 552, 639, 684, 814, 1012, 1236, 1920, 2932, 3156, 4168f, 5715f, 6088f }} | ||
=== Sercloremine === | === Sercloremine === | ||
Subgroup: 2.3.5.7.13 | [[Subgroup]]: 2.3.5.7.13 | ||
[[Comma list]]: 142884/142805 | |||
[[Mapping]]: <br> | [[Mapping]]: <br> | ||
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|} | |} | ||
[[Optimal tuning]] ([[CTE]]): 2 = | [[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.913, ~189/169 = 193.164, ~18/13 = 563.168 | ||
{{Optimal ET sequence|legend=1|7, 12d, 17c, 19, 43, 49f, 62, 68, 87, 111, 130, 198, 217, 224, 243, 311, 354, 422, 441, 1106, 1236, 1677, 2361, 2932, 3597f, 4038f, 6529f}} | {{Optimal ET sequence|legend=1| 7, 12d, 17c, 19, 43, 49f, 62, 68, 87, 111, 130, 198, 217, 224, 243, 311, 354, 422, 441, 1106, 1236, 1677, 2361, 2932, 3597f, 4038f, 6529f }} | ||
== Etymology == | == Etymology == | ||
Revision as of 14:03, 11 October 2024
| Interval information |
bithuthuzo-agu unison
142884/142805, the sercloreminisma, is a 13-limit unnoticeable comma of about 0.96 cents.
Commatic relationships
This comma is the difference between the following pairs:
- 169/168 and 1701/1690
- 196/195 and 2197/2187
- 325/324 and 2205/2197
- 640/637 and 373248/371293
- 676/675 and 21168/21125
- 4394/4375 and 40824/40625
It factors into:
- 2401/2400 and 1399680/1399489
- 3381/3380 and 3888/3887
- 4096/4095 and 2250423/2249728
- 5832/5831 and 285719/285610
- 10648/10647 and 2250423/2249390
- 11016/11011 and 373527/373490
- 57375/57344 and 303464448/303460625
- 140625/140608 and 1016064/1015625
- 200000/199927 and 250047/250000
- 256000/255879 and 703096443/703040000
Temperaments
Tempering it out in the 13-limit leads to the rank-5 temperament sercloreminismic. Retracting it to the 2.3.5.7.13 subgroup leads to the rank-4 temperament sercloremine.
Adding the ratwolfsma, the swetisma and 40656/40625 to the comma list leads to the fermionic temperament.
Adding the breedsma, the kalisma and 67392/67375 leads to 13-limit titanium.
Sercloreminismic
Subgroup: 2.3.5.7.11.13
Comma list: 142884/142805
| [⟨ | 1 | 0 | 0 | 1 | 0 | 1 | ], |
| ⟨ | 0 | 1 | 0 | 1 | 0 | 2 | ], |
| ⟨ | 0 | 0 | 2 | 1 | 0 | 0 | ], |
| ⟨ | 0 | 0 | 0 | 2 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 1 | 0 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.913, ~189/169 = 193.164, ~18/13 = 563.168, ~11/8 = 551.318
Optimal ET sequence: 7, 12de, 17c, 19e, 19, 26, 36, 38df, 43, 49f, 62, 68, 87, 111, 130, 198, 224, 311, 373, 422, 441, 552, 639, 684, 814, 1012, 1236, 1920, 2932, 3156, 4168f, 5715f, 6088f
Sercloremine
Subgroup: 2.3.5.7.13
Comma list: 142884/142805
| [⟨ | 1 | 0 | 0 | 1 | 1 | ], |
| ⟨ | 0 | 1 | 0 | 1 | 2 | ], |
| ⟨ | 0 | 0 | 2 | 1 | 0 | ], |
| ⟨ | 0 | 0 | 0 | 2 | 1 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.913, ~189/169 = 193.164, ~18/13 = 563.168
Optimal ET sequence: 7, 12d, 17c, 19, 43, 49f, 62, 68, 87, 111, 130, 198, 217, 224, 243, 311, 354, 422, 441, 1106, 1236, 1677, 2361, 2932, 3597f, 4038f, 6529f
Etymology
The sercloreminisma was named by Francium in 2024. It refers to the ChemSpider ID of Sercloremine