12L 5s
| ↖ 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 and Tanegashima scale, proposed by Declan Paul Boushy.
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 16|0 | 1 | LLLsLLsLLLsLLsLLs |
| 15|1 | 8 | LLLsLLsLLsLLLsLLs |
| 14|2 | 15 | LLsLLLsLLsLLLsLLs |
| 13|3 | 5 | LLsLLLsLLsLLsLLLs |
| 12|4 | 12 | LLsLLsLLLsLLsLLLs |
| 11|5 | 2 | LLsLLsLLLsLLsLLsL |
| 10|6 | 9 | LLsLLsLLsLLLsLLsL |
| 9|7 | 16 | LsLLLsLLsLLLsLLsL |
| 8|8 | 6 | LsLLLsLLsLLsLLLsL |
| 7|9 | 13 | LsLLsLLLsLLsLLLsL |
| 6|10 | 3 | LsLLsLLLsLLsLLsLL |
| 5|11 | 10 | LsLLsLLsLLLsLLsLL |
| 4|12 | 17 | sLLLsLLsLLLsLLsLL |
| 3|13 | 7 | sLLLsLLsLLsLLLsLL |
| 2|14 | 14 | sLLsLLLsLLsLLLsLL |
| 1|15 | 4 | sLLsLLLsLLsLLsLLL |
| 0|16 | 11 | sLLsLLsLLLsLLsLLL |
Scales
- Edson17 – 29edo tuning
- Subaru scale – 41edo tuning
- Cotoneum17 – 217edo tuning
- Garibaldi17 – 94edo tuning
- Pythagorean17 – Pythagorean tuning
- Tanegashima scale – 53edo tuning
- Nestoria17 – 171edo tuning