5L 3s (5/2-equivalent)

Revision as of 02:39, 2 July 2023 by CompactStar (talk | contribs)
↖ 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⟩ ↘
┌╥╥┬╥╥┬╥┬┐
│║║│║║│║││
││││││││││
└┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLs
sLsLLsLL
Equave 5/2 (1586.3 ¢)
Period 5/2 (1586.3 ¢)
Generator size(ed5/2)
Bright 3\8 to 2\5 (594.9 ¢ to 634.5 ¢)
Dark 3\5 to 5\8 (951.8 ¢ to 991.4 ¢)
Related MOS scales
Parent 3L 2s⟨5/2⟩
Sister 3L 5s⟨5/2⟩
Daughters 8L 5s⟨5/2⟩, 5L 8s⟨5/2⟩
Neutralized 2L 6s⟨5/2⟩
2-Flought 13L 3s⟨5/2⟩, 5L 11s⟨5/2⟩
Equal tunings(ed5/2)
Equalized (L:s = 1:1) 3\8 (594.9 ¢)
Supersoft (L:s = 4:3) 11\29 (601.7 ¢)
Soft (L:s = 3:2) 8\21 (604.3 ¢)
Semisoft (L:s = 5:3) 13\34 (606.5 ¢)
Basic (L:s = 2:1) 5\13 (610.1 ¢)
Semihard (L:s = 5:2) 12\31 (614.1 ¢)
Hard (L:s = 3:1) 7\18 (616.9 ¢)
Superhard (L:s = 4:1) 9\23 (620.7 ¢)
Collapsed (L:s = 1:0) 2\5 (634.5 ¢)

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 ¢. This can be thought of as a MOS generated by 5/2-equivalent jubilic temperament, one of the most simple no-threes temperaments, although in this case it is using the slightly more complicated period of 5/2 rather than 2/1. If 5/2 is the period, jubilic generates strict MOS rather than multi-MOS. The bright generator represents 7/5~10/7 and the dark generator represents 7/4~25/14

Modes

Modes of 5L 3s⟨5/2⟩
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

Scale tree

Template:Scale tree