8L 7s

↖ 7L 6s	↑ 8L 6s	9L 6s ↗
← 7L 7s	8L 7s	9L 7s →
↙ 7L 8s	↓ 8L 8s	9L 8s ↘

┌╥╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║│║│║││ │││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLsLsLsLsLsLs sLsLsLsLsLsLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	13\15 to 7\8 (1040.0 ¢ to 1050.0 ¢)
Dark	1\8 to 2\15 (150.0 ¢ to 160.0 ¢)
TAMNAMS information
Related to	7L 1s (pine)
With tunings	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	7L 1s
Sister	7L 8s
Daughters	15L 8s, 8L 15s
Neutralized	1L 14s
2-Flought	23L 7s, 8L 22s
Equal tunings
Equalized (L:s = 1:1)	13\15 (1040.0 ¢)
Supersoft (L:s = 4:3)	46\53 (1041.5 ¢)
Soft (L:s = 3:2)	33\38 (1042.1 ¢)
Semisoft (L:s = 5:3)	53\61 (1042.6 ¢)
Basic (L:s = 2:1)	20\23 (1043.5 ¢)
Semihard (L:s = 5:2)	47\54 (1044.4 ¢)
Hard (L:s = 3:1)	27\31 (1045.2 ¢)
Superhard (L:s = 4:1)	34\39 (1046.2 ¢)
Collapsed (L:s = 1:0)	7\8 (1050.0 ¢)

8L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 7 small steps, repeating every octave. 8L 7s is a child scale of 7L 1s, expanding it by 7 tones. Generators that produce this scale range from 1040 ¢ to 1050 ¢, or from 150 ¢ to 160 ¢.

This scale is the chromatic scale of opossum temperament, where the tetrad 1/1-6/5-10/7-12/7 (0¢-316¢-617¢-933¢) can be formed by by stacking the dark generator 2, 4, and 6 times above the root. 8L 7s approximates this tetrad from 0¢-300¢-600¢-900¢ to 0¢-320¢-640¢-960¢.

Modes

Modes of 8L 7s

UDP	Cyclic order	Step pattern
14|0	1	LLsLsLsLsLsLsLs
13|1	14	LsLLsLsLsLsLsLs
12|2	12	LsLsLLsLsLsLsLs
11|3	10	LsLsLsLLsLsLsLs
10|4	8	LsLsLsLsLLsLsLs
9|5	6	LsLsLsLsLsLLsLs
8|6	4	LsLsLsLsLsLsLLs
7|7	2	LsLsLsLsLsLsLsL
6|8	15	sLLsLsLsLsLsLsL
5|9	13	sLsLLsLsLsLsLsL
4|10	11	sLsLsLLsLsLsLsL
3|11	9	sLsLsLsLLsLsLsL
2|12	7	sLsLsLsLsLLsLsL
1|13	5	sLsLsLsLsLsLLsL
0|14	3	sLsLsLsLsLsLsLL

Intervals

Intervals of 8L 7s

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 80.0 ¢
	Major 1-mosstep	M1ms	L	80.0 ¢ to 150.0 ¢
2-mosstep	Perfect 2-mosstep	P2ms	L + s	150.0 ¢ to 160.0 ¢
	Augmented 2-mosstep	A2ms	2L	160.0 ¢ to 300.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	150.0 ¢ to 240.0 ¢
	Major 3-mosstep	M3ms	2L + s	240.0 ¢ to 300.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	300.0 ¢ to 320.0 ¢
	Major 4-mosstep	M4ms	3L + s	320.0 ¢ to 450.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	300.0 ¢ to 400.0 ¢
	Major 5-mosstep	M5ms	3L + 2s	400.0 ¢ to 450.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	450.0 ¢ to 480.0 ¢
	Major 6-mosstep	M6ms	4L + 2s	480.0 ¢ to 600.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	3L + 4s	450.0 ¢ to 560.0 ¢
	Major 7-mosstep	M7ms	4L + 3s	560.0 ¢ to 600.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	4L + 4s	600.0 ¢ to 640.0 ¢
	Major 8-mosstep	M8ms	5L + 3s	640.0 ¢ to 750.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	4L + 5s	600.0 ¢ to 720.0 ¢
	Major 9-mosstep	M9ms	5L + 4s	720.0 ¢ to 750.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	5L + 5s	750.0 ¢ to 800.0 ¢
	Major 10-mosstep	M10ms	6L + 4s	800.0 ¢ to 900.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	5L + 6s	750.0 ¢ to 880.0 ¢
	Major 11-mosstep	M11ms	6L + 5s	880.0 ¢ to 900.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	6L + 6s	900.0 ¢ to 960.0 ¢
	Major 12-mosstep	M12ms	7L + 5s	960.0 ¢ to 1050.0 ¢
13-mosstep	Diminished 13-mosstep	d13ms	6L + 7s	900.0 ¢ to 1040.0 ¢
	Perfect 13-mosstep	P13ms	7L + 6s	1040.0 ¢ to 1050.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	7L + 7s	1050.0 ¢ to 1120.0 ¢
	Major 14-mosstep	M14ms	8L + 6s	1120.0 ¢ to 1200.0 ¢
15-mosstep	Perfect 15-mosstep	P15ms	8L + 7s	1200.0 ¢

Scale tree

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