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 ¢. The range of the bright generator 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 ¢

Scale tree

Scale tree and tuning spectrum of 10L 7s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
5\17						352.941	847.059	1:1	1.000	Equalized 10L 7s
					28\95	353.684	846.316	6:5	1.200
				23\78		353.846	846.154	5:4	1.250
					41\139	353.957	846.043	9:7	1.286
			18\61			354.098	845.902	4:3	1.333	Supersoft 10L 7s
					49\166	354.217	845.783	11:8	1.375
				31\105		354.286	845.714	7:5	1.400
					44\149	354.362	845.638	10:7	1.429
		13\44				354.545	845.455	3:2	1.500	Soft 10L 7s
					47\159	354.717	845.283	11:7	1.571
				34\115		354.783	845.217	8:5	1.600
					55\186	354.839	845.161	13:8	1.625
			21\71			354.930	845.070	5:3	1.667	Semisoft 10L 7s
					50\169	355.030	844.970	12:7	1.714
				29\98		355.102	844.898	7:4	1.750
					37\125	355.200	844.800	9:5	1.800
	8\27					355.556	844.444	2:1	2.000	Basic 10L 7s Scales with tunings softer than this are proper
					35\118	355.932	844.068	9:4	2.250
				27\91		356.044	843.956	7:3	2.333
					46\155	356.129	843.871	12:5	2.400
			19\64			356.250	843.750	5:2	2.500	Semihard 10L 7s
					49\165	356.364	843.636	13:5	2.600
				30\101		356.436	843.564	8:3	2.667
					41\138	356.522	843.478	11:4	2.750
		11\37				356.757	843.243	3:1	3.000	Hard 10L 7s
					36\121	357.025	842.975	10:3	3.333
				25\84		357.143	842.857	7:2	3.500
					39\131	357.252	842.748	11:3	3.667
			14\47			357.447	842.553	4:1	4.000	Superhard 10L 7s
					31\104	357.692	842.308	9:2	4.500
				17\57		357.895	842.105	5:1	5.000
					20\67	358.209	841.791	6:1	6.000
3\10						360.000	840.000	1:0	→ ∞	Collapsed 10L 7s