4675/4674: Difference between revisions
Created page with "{{Infobox Interval | Ratio = 4675/4674 | Name = ohbokisma | Color name = 41u19u17o1oyy1 <br> fowunusoloyoyo unison | Comma = yes }} '''4675/4674''', the '''ohbokisma''', is a..." |
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Latest revision as of 14:33, 15 March 2025
| Interval information |
fowunusoloyoyo unison
reduced
4675/4674, the ohbokisma, is a 41-limit superparticular comma of about 0.37 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
It can be factored into the following superparticular ratios:
- 4785/4784 and 203320/203319
- 4921/4920 and 93500/93499
- 4960/4959 and 81345/81344
- 5577/5576 and 28900/28899
- 5797/5796 and 24150/24149
- 5929/5928 and 22100/22099
- 6325/6324 and 17918/17917
- 6930/6929 and 14365/14364
- 7905/7904 and 11440/11439
Temperaments
Tempering out this comma in the full 41-limit leads to the rank-12 temperament ohbokismic. Using the 2.3.5.11.17.19.41 subgroup leads to the rank-6 temperament ohbokic.
Ohbokic
Subgroup 2.3.5.11.17.19.41
Comma list: 4675/4674
| [⟨ | 1 | 1 | 2 | 3 | 4 | 4 | 5 | ], |
| ⟨ | 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 = 701.964, ~5/4 = 386.274, ~11/8 = 551.273, ~17/16 = 104.893, ~19/16 = 297.580
Optimal ET sequence: 5eghmm, 7ghm, 12e, 14cmm, 15, 15gm, 19, 22, 24, 31, 34h, 38m, 53, 56, 65m, 72m, 80, 87, 94m, 99em, 111, 118, 193, 205, 217, 255, 311, 342, 422, 460, 559, 677, 836, 1140, 1178, 1258, 1395, 1513, 2436, 2653, 3113, 3949, 4896, 6291m
Badness (Sintel): 0.100
Etymology
This comma was named by Francium in 2025. It refers to 4675 Ohboke, which in turn was named after the Oboke Gorge in Japan.