3L 5s (5/2-equivalent)

↖ 2L 4s⟨5/2⟩	↑ 3L 4s⟨5/2⟩	4L 4s⟨5/2⟩ ↗
← 2L 5s⟨5/2⟩	3L 5s (5/2-equivalent)	4L 5s⟨5/2⟩ →
↙ 2L 6s⟨5/2⟩	↓ 3L 6s⟨5/2⟩	4L 6s⟨5/2⟩ ↘

┌╥┬╥┬┬╥┬┬┐ │║│║││║│││ ││││││││││ └┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLssLss ssLssLsL
Equave	5/2 (1586.3 ¢)
Period	5/2 (1586.3 ¢)
Generator size(ed5/2)
Bright	5\8 to 2\3 (991.4 ¢ to 1057.5 ¢)
Dark	1\3 to 3\8 (528.8 ¢ to 594.9 ¢)
Related MOS scales
Parent	3L 2s⟨5/2⟩
Sister	5L 3s⟨5/2⟩
Daughters	8L 3s⟨5/2⟩, 3L 8s⟨5/2⟩
Neutralized	6L 2s⟨5/2⟩
2-Flought	11L 5s⟨5/2⟩, 3L 13s⟨5/2⟩
Equal tunings(ed5/2)
Equalized (L:s = 1:1)	5\8 (991.4 ¢)
Supersoft (L:s = 4:3)	17\27 (998.8 ¢)
Soft (L:s = 3:2)	12\19 (1001.9 ¢)
Semisoft (L:s = 5:3)	19\30 (1004.7 ¢)
Basic (L:s = 2:1)	7\11 (1009.5 ¢)
Semihard (L:s = 5:2)	16\25 (1015.2 ¢)
Hard (L:s = 3:1)	9\14 (1019.8 ¢)
Superhard (L:s = 4:1)	11\17 (1026.4 ¢)
Collapsed (L:s = 1:0)	2\3 (1057.5 ¢)

3L 5s⟨5/2⟩ is a 5/2-equivalent (non-octave) moment of symmetry scale containing 3 large steps and 5 small steps, repeating every interval of 5/2 (1586.3 ¢). Generators that produce this scale range from 991.4 ¢ to 1057.5 ¢, or from 528.8 ¢ to 594.9 ¢.

Modes

Modes of 3L 5s⟨5/2⟩

UDP	Cyclic order	Step pattern
7|0	1	LsLssLss
6|1	6	LssLsLss
5|2	3	LssLssLs
4|3	8	sLsLssLs
3|4	5	sLssLsLs
2|5	2	sLssLssL
1|6	7	ssLsLssL
0|7	4	ssLssLsL

Intervals

Intervals of 3L 5s⟨5/2⟩

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 198.3 ¢
	Major 1-mosstep	M1ms	L	198.3 ¢ to 528.8 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 396.6 ¢
	Major 2-mosstep	M2ms	L + s	396.6 ¢ to 528.8 ¢
3-mosstep	Perfect 3-mosstep	P3ms	L + 2s	528.8 ¢ to 594.9 ¢
	Augmented 3-mosstep	A3ms	2L + s	594.9 ¢ to 1057.5 ¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	528.8 ¢ to 793.2 ¢
	Major 4-mosstep	M4ms	2L + 2s	793.2 ¢ to 1057.5 ¢
5-mosstep	Diminished 5-mosstep	d5ms	L + 4s	528.8 ¢ to 991.4 ¢
	Perfect 5-mosstep	P5ms	2L + 3s	991.4 ¢ to 1057.5 ¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	1057.5 ¢ to 1189.7 ¢
	Major 6-mosstep	M6ms	3L + 3s	1189.7 ¢ to 1586.3 ¢
7-mosstep	Minor 7-mosstep	m7ms	2L + 5s	1057.5 ¢ to 1388.0 ¢
	Major 7-mosstep	M7ms	3L + 4s	1388.0 ¢ to 1586.3 ¢
8-mosstep	Perfect 8-mosstep	P8ms	3L + 5s	1586.3 ¢

Scale tree

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