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⟩ ↘

┌╥╥┬╥╥┬╥┬┐ │║║│║║│║││ ││││││││││ └┴┴┴┴┴┴┴┴┘
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 ¢.

Theory

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 second-best period choice of 5/2 rather than 2/1. If 5/2 is the period, jubilic generates strict MOS 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

MOS degrees is deprecated. Please use Template:MOS tunings instead.

Scale degree of 5L 3s⟨5/2⟩

Scale degree	13ed5/2 (Basic, L:s = 2:1)		Approx. JI Ratios
	Steps	Cents
Perfect 0-mosdegree (unison)	0	0	1/1 (exact)
Minor 1-mosdegree	1	122
Major 1-mosdegree	2	244
Minor 2-mosdegree	3	366.1
Major 2-mosdegree	4	488.1
Diminished 3-mosdegree	4	488.1
Perfect 3-mosdegree	5	610.1
Minor 4-mosdegree	6	732.1
Major 4-mosdegree	7	854.2
Perfect 5-mosdegree	8	976.2
Augmented 5-mosdegree	9	1098.2
Minor 6-mosdegree	9	1098.2
Major 6-mosdegree	10	1220.2
Minor 7-mosdegree	11	1342.3
Major 7-mosdegree	12	1464.3
Perfect 8-mosdegree (equave)	13	1586.3	5/2 (exact)

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