12L 5s
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Todo: review Adopt scale tree template, add note that mode names are tuning-specific (they only apply to specific tunings) |
| ↖ 11L 4s | ↑ 12L 4s | 13L 4s ↗ |
| ← 11L 5s | 12L 5s | 13L 5s → |
| ↙ 11L 6s | ↓ 12L 6s | 13L 6s ↘ |
┌╥╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥┬┐ │║║║│║║│║║║│║║│║║││ │││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLsLLsLLLsLLsLLL
12L 5s, also called p-enharmonic, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 5 small steps, repeating every octave. 12L 5s is a grandchild scale of 5L 2s, expanding it by 10 tones. Generators that produce this scale range from 494.1 ¢ to 500 ¢, or from 700 ¢ to 705.9 ¢. Temperaments supported by this scale include those under the Pythagorean and schismic families, characterized by a diesis (the difference between a large step and two small steps) that is smaller than the chroma.
The leapday/leapweek version is proper, but the Pythagorean/schismic version is improper (it does not become proper until you add 12 more notes to form the schismic 29-note scale).
Modes
Mode names are borrowed from the Subaru scale, proposed by Declan Paul Boushy.
| Mode | UDP | Mode name |
|---|---|---|
| LLLsLLsLLLsLLsLLs | 16|0 | Harumi |
| LLLsLLsLLsLLLsLLs | 15|1 | Yuzuha |
| LLsLLLsLLsLLLsLLs | 14|2 | Maho |
| LLsLLLsLLsLLsLLLs | 13|3 | Sakura |
| LLsLLsLLLsLLsLLLs | 12|4 | Hanako |
| LLsLLsLLLsLLsLLsL | 11|5 | Saori |
| LLsLLsLLsLLLsLLsL | 10|6 | Machiko |
| LsLLLsLLsLLLsLLsL | 9|7 | Sae |
| LsLLLsLLsLLsLLLsL | 8|8 | Kaguya |
| LsLLsLLLsLLsLLLsL | 7|9 | Nae |
| LsLLsLLLsLLsLLsLL | 6|10 | Sachiko |
| LsLLsLLsLLLsLLsLL | 5|11 | Kaori |
| sLLLsLLsLLLsLLsLL | 4|12 | Kanako |
| sLLLsLLsLLsLLLsLL | 3|13 | Sakurajima |
| sLLsLLLsLLsLLLsLL | 2|14 | Kaho |
| sLLsLLLsLLsLLsLLL | 1|15 | Suzuha |
| sLLsLLsLLLsLLsLLL | 0|16 | Narumi |
Scales
- Edson17 – 29edo tuning
- Subaru scale – 41edo tuning
- Cotoneum17 – 217edo tuning
- Garibaldi17 – 94edo tuning
- Pythagorean17 – Pythagorean tuning
- Tanegashima scale – 53edo tuning
- Nestoria17 – 171edo tuning