5L 3s (5/2-equivalent)
| ↖ 4L 2s⟨5/2⟩ | ↑ 5L 2s⟨5/2⟩ | 6L 2s⟨5/2⟩ ↗ |
| ← 4L 3s⟨5/2⟩ | 5L 3s (5/2-equivalent) | 6L 3s⟨5/2⟩ → |
| ↙ 4L 4s⟨5/2⟩ | ↓ 5L 4s⟨5/2⟩ | 6L 4s⟨5/2⟩ ↘ |
┌╥╥┬╥╥┬╥┬┐ │║║│║║│║││ ││││││││││ └┴┴┴┴┴┴┴┴┘
sLsLLsLL
5L 3s⟨5/2⟩ is a 5/2-equivalent (non-octave) moment of symmetry scale containing 5 large steps and 3 small steps, repeating every interval of 5/2 (1586.3 ¢). Generators that produce this scale range from 594.9 ¢ to 634.5 ¢, or from 951.8 ¢ to 991.4 ¢.
Theory
This scale can be thought of as a MOS generated by 5/2-equivalent jubilic temperament where 50/49 vanishes. This is one of the most simple no-threes temperaments, although in this case it is using the second-best period choice of 5/2 rather than 2/1, causing strict MOS to be generated rather than multi-MOS. The bright generator of the MOS represents 7/5~10/7 and the dark generator represents 7/4~25/14. This gives 5L 3s⟨5/2⟩ many approximations of 4:5:7 chords.
Intervals
The above uses diamond MOS notation names.
|
MOS degrees is deprecated. Please use Template:MOS tunings instead. |
| Scale degree | 13ed5/2 (Basic, L:s = 2:1) | 18ed5/2 (Hard, L:s = 3:1) | 21ed5/2 (Soft, L:s = 3:2) | Approx. JI Ratios | |||
|---|---|---|---|---|---|---|---|
| Steps | Cents | Steps | Cents | Steps | Cents | ||
| Perfect 0-mosdegree (unison) | 0 | 0 | 0 | 0 | 0 | 0 | 1/1 (exact) |
| Minor 1-mosdegree | 1 | 122 | 1 | 88.1 | 2 | 151.1 | |
| Major 1-mosdegree | 2 | 244 | 3 | 264.4 | 3 | 226.6 | |
| Minor 2-mosdegree | 3 | 366.1 | 4 | 352.5 | 5 | 377.7 | |
| Major 2-mosdegree | 4 | 488.1 | 6 | 528.8 | 6 | 453.2 | |
| Diminished 3-mosdegree | 4 | 488.1 | 5 | 440.6 | 7 | 528.8 | |
| Perfect 3-mosdegree | 5 | 610.1 | 7 | 616.9 | 8 | 604.3 | |
| Minor 4-mosdegree | 6 | 732.1 | 8 | 705 | 10 | 755.4 | |
| Major 4-mosdegree | 7 | 854.2 | 10 | 881.3 | 11 | 830.9 | |
| Perfect 5-mosdegree | 8 | 976.2 | 11 | 969.4 | 13 | 982 | |
| Augmented 5-mosdegree | 9 | 1098.2 | 13 | 1145.7 | 14 | 1057.5 | |
| Minor 6-mosdegree | 9 | 1098.2 | 12 | 1057.5 | 15 | 1133.1 | |
| Major 6-mosdegree | 10 | 1220.2 | 14 | 1233.8 | 16 | 1208.6 | |
| Minor 7-mosdegree | 11 | 1342.3 | 15 | 1321.9 | 18 | 1359.7 | |
| Major 7-mosdegree | 12 | 1464.3 | 17 | 1498.2 | 19 | 1435.2 | |
| Perfect 8-mosdegree (equave) | 13 | 1586.3 | 18 | 1586.3 | 21 | 1586.3 | 5/2 (exact) |
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 7|0 | 1 | LLsLLsLs |
| 6|1 | 4 | LLsLsLLs |
| 5|2 | 7 | LsLLsLLs |
| 4|3 | 2 | LsLLsLsL |
| 3|4 | 5 | LsLsLLsL |
| 2|5 | 8 | sLLsLLsL |
| 1|6 | 3 | sLLsLsLL |
| 0|7 | 6 | sLsLLsLL |