10L 7s

↖ 9L 6s	↑ 10L 6s	11L 6s ↗
← 9L 7s	10L 7s	11L 7s →
↙ 9L 8s	↓ 10L 8s	11L 8s ↘

┌╥╥┬╥┬╥╥┬╥┬╥╥┬╥┬╥┬┐ │║║│║│║║│║│║║│║│║││ │││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLsLLsLsLLsLsLs sLsLsLLsLsLLsLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	5\17 to 3\10 (352.9 ¢ to 360.0 ¢)
Dark	7\10 to 12\17 (840.0 ¢ to 847.1 ¢)
TAMNAMS information
Related to	7L 3s (dicoid)
With tunings	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	7L 3s
Sister	7L 10s
Daughters	17L 10s, 10L 17s
Neutralized	3L 14s
2-Flought	27L 7s, 10L 24s
Equal tunings
Equalized (L:s = 1:1)	5\17 (352.9 ¢)
Supersoft (L:s = 4:3)	18\61 (354.1 ¢)
Soft (L:s = 3:2)	13\44 (354.5 ¢)
Semisoft (L:s = 5:3)	21\71 (354.9 ¢)
Basic (L:s = 2:1)	8\27 (355.6 ¢)
Semihard (L:s = 5:2)	19\64 (356.2 ¢)
Hard (L:s = 3:1)	11\37 (356.8 ¢)
Superhard (L:s = 4:1)	14\47 (357.4 ¢)
Collapsed (L:s = 1:0)	3\10 (360.0 ¢)

10L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 7 small steps, repeating every octave. 10L 7s is a child scale of 7L 3s, expanding it by 7 tones. Generators that produce this scale range from 352.9 ¢ to 360 ¢, or from 840 ¢ to 847.1 ¢. This scale is the neutral thirds version of Schismic temperament. The range of the bright generator also makes it an improper MOS of Beatles temperament (generator = c. 19\64 ~ 356.25 ¢).

Modes

Modes of 10L 7s

UDP	Cyclic order	Step pattern
16|0	1	LLsLsLLsLsLLsLsLs
15|1	6	LLsLsLLsLsLsLLsLs
14|2	11	LLsLsLsLLsLsLLsLs
13|3	16	LsLLsLsLLsLsLLsLs
12|4	4	LsLLsLsLLsLsLsLLs
11|5	9	LsLLsLsLsLLsLsLLs
10|6	14	LsLsLLsLsLLsLsLLs
9|7	2	LsLsLLsLsLLsLsLsL
8|8	7	LsLsLLsLsLsLLsLsL
7|9	12	LsLsLsLLsLsLLsLsL
6|10	17	sLLsLsLLsLsLLsLsL
5|11	5	sLLsLsLLsLsLsLLsL
4|12	10	sLLsLsLsLLsLsLLsL
3|13	15	sLsLLsLsLLsLsLLsL
2|14	3	sLsLLsLsLLsLsLsLL
1|15	8	sLsLLsLsLsLLsLsLL
0|16	13	sLsLsLLsLsLLsLsLL

Intervals

Intervals of 10L 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 70.6 ¢
	Major 1-mosstep	M1ms	L	70.6 ¢ to 120.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	120.0 ¢ to 141.2 ¢
	Major 2-mosstep	M2ms	2L	141.2 ¢ to 240.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	120.0 ¢ to 211.8 ¢
	Major 3-mosstep	M3ms	2L + s	211.8 ¢ to 240.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	240.0 ¢ to 282.4 ¢
	Major 4-mosstep	M4ms	3L + s	282.4 ¢ to 360.0 ¢
5-mosstep	Diminished 5-mosstep	d5ms	2L + 3s	240.0 ¢ to 352.9 ¢
	Perfect 5-mosstep	P5ms	3L + 2s	352.9 ¢ to 360.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	360.0 ¢ to 423.5 ¢
	Major 6-mosstep	M6ms	4L + 2s	423.5 ¢ to 480.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	4L + 3s	480.0 ¢ to 494.1 ¢
	Major 7-mosstep	M7ms	5L + 2s	494.1 ¢ to 600.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	4L + 4s	480.0 ¢ to 564.7 ¢
	Major 8-mosstep	M8ms	5L + 3s	564.7 ¢ to 600.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	5L + 4s	600.0 ¢ to 635.3 ¢
	Major 9-mosstep	M9ms	6L + 3s	635.3 ¢ to 720.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	5L + 5s	600.0 ¢ to 705.9 ¢
	Major 10-mosstep	M10ms	6L + 4s	705.9 ¢ to 720.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	6L + 5s	720.0 ¢ to 776.5 ¢
	Major 11-mosstep	M11ms	7L + 4s	776.5 ¢ to 840.0 ¢
12-mosstep	Perfect 12-mosstep	P12ms	7L + 5s	840.0 ¢ to 847.1 ¢
	Augmented 12-mosstep	A12ms	8L + 4s	847.1 ¢ to 960.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	7L + 6s	840.0 ¢ to 917.6 ¢
	Major 13-mosstep	M13ms	8L + 5s	917.6 ¢ to 960.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	8L + 6s	960.0 ¢ to 988.2 ¢
	Major 14-mosstep	M14ms	9L + 5s	988.2 ¢ to 1080.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	8L + 7s	960.0 ¢ to 1058.8 ¢
	Major 15-mosstep	M15ms	9L + 6s	1058.8 ¢ to 1080.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	9L + 7s	1080.0 ¢ to 1129.4 ¢
	Major 16-mosstep	M16ms	10L + 6s	1129.4 ¢ to 1200.0 ¢
17-mosstep	Perfect 17-mosstep	P17ms	10L + 7s	1200.0 ¢