3L 7s (5/2-equivalent)

↖ 2L 6s⟨5/2⟩	↑ 3L 6s⟨5/2⟩	4L 6s⟨5/2⟩ ↗
← 2L 7s⟨5/2⟩	3L 7s (5/2-equivalent)	4L 7s⟨5/2⟩ →
↙ 2L 8s⟨5/2⟩	↓ 3L 8s⟨5/2⟩	4L 8s⟨5/2⟩ ↘

┌╥┬┬╥┬┬╥┬┬┬┐ │║││║││║││││ ││││││││││││ └┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssLssLsss sssLssLssL
Equave	5/2 (1586.3 ¢)
Period	5/2 (1586.3 ¢)
Generator size(ed5/2)
Bright	3\10 to 1\3 (475.9 ¢ to 528.8 ¢)
Dark	2\3 to 7\10 (1057.5 ¢ to 1110.4 ¢)
Related MOS scales
Parent	3L 4s⟨5/2⟩
Sister	7L 3s⟨5/2⟩
Daughters	10L 3s⟨5/2⟩, 3L 10s⟨5/2⟩
Neutralized	6L 4s⟨5/2⟩
2-Flought	13L 7s⟨5/2⟩, 3L 17s⟨5/2⟩
Equal tunings(ed5/2)
Equalized (L:s = 1:1)	3\10 (475.9 ¢)
Supersoft (L:s = 4:3)	10\33 (480.7 ¢)
Soft (L:s = 3:2)	7\23 (482.8 ¢)
Semisoft (L:s = 5:3)	11\36 (484.7 ¢)
Basic (L:s = 2:1)	4\13 (488.1 ¢)
Semihard (L:s = 5:2)	9\29 (492.3 ¢)
Hard (L:s = 3:1)	5\16 (495.7 ¢)
Superhard (L:s = 4:1)	6\19 (500.9 ¢)
Collapsed (L:s = 1:0)	1\3 (528.8 ¢)

3L 7s⟨5/2⟩ is a 5/2-equivalent (non-octave) moment of symmetry scale containing 3 large steps and 7 small steps, repeating every interval of 5/2 (1586.3 ¢). Generators that produce this scale range from 475.9 ¢ to 528.8 ¢, or from 1057.5 ¢ to 1110.4 ¢.

Modes

Modes of 3L 7s⟨5/2⟩

UDP	Cyclic order	Step pattern
9|0	1	LssLssLsss
8|1	4	LssLsssLss
7|2	7	LsssLssLss
6|3	10	sLssLssLss
5|4	3	sLssLsssLs
4|5	6	sLsssLssLs
3|6	9	ssLssLssLs
2|7	2	ssLssLsssL
1|8	5	ssLsssLssL
0|9	8	sssLssLssL

Intervals

Intervals of 3L 7s⟨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 158.6 ¢
	Major 1-mosstep	M1ms	L	158.6 ¢ to 528.8 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 317.3 ¢
	Major 2-mosstep	M2ms	L + s	317.3 ¢ to 528.8 ¢
3-mosstep	Diminished 3-mosstep	d3ms	3s	0.0 ¢ to 475.9 ¢
	Perfect 3-mosstep	P3ms	L + 2s	475.9 ¢ to 528.8 ¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	528.8 ¢ to 634.5 ¢
	Major 4-mosstep	M4ms	2L + 2s	634.5 ¢ to 1057.5 ¢
5-mosstep	Minor 5-mosstep	m5ms	L + 4s	528.8 ¢ to 793.2 ¢
	Major 5-mosstep	M5ms	2L + 3s	793.2 ¢ to 1057.5 ¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	528.8 ¢ to 951.8 ¢
	Major 6-mosstep	M6ms	2L + 4s	951.8 ¢ to 1057.5 ¢
7-mosstep	Perfect 7-mosstep	P7ms	2L + 5s	1057.5 ¢ to 1110.4 ¢
	Augmented 7-mosstep	A7ms	3L + 4s	1110.4 ¢ to 1586.3 ¢
8-mosstep	Minor 8-mosstep	m8ms	2L + 6s	1057.5 ¢ to 1269.1 ¢
	Major 8-mosstep	M8ms	3L + 5s	1269.1 ¢ to 1586.3 ¢
9-mosstep	Minor 9-mosstep	m9ms	2L + 7s	1057.5 ¢ to 1427.7 ¢
	Major 9-mosstep	M9ms	3L + 6s	1427.7 ¢ to 1586.3 ¢
10-mosstep	Perfect 10-mosstep	P10ms	3L + 7s	1586.3 ¢

Scale tree

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