10L 9s

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

┌╥╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║│║│║│║│║││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLsLsLsLsLsLsLsLs sLsLsLsLsLsLsLsLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	17\19 to 9\10 (1073.7 ¢ to 1080.0 ¢)
Dark	1\10 to 2\19 (120.0 ¢ to 126.3 ¢)
TAMNAMS information
Descends from	9L 1s (sinatonic)
Ancestor's step ratio range	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	9L 1s
Sister	9L 10s
Daughters	19L 10s, 10L 19s
Neutralized	1L 18s
2-Flought	29L 9s, 10L 28s
Equal tunings
Equalized (L:s = 1:1)	17\19 (1073.7 ¢)
Supersoft (L:s = 4:3)	60\67 (1074.6 ¢)
Soft (L:s = 3:2)	43\48 (1075.0 ¢)
Semisoft (L:s = 5:3)	69\77 (1075.3 ¢)
Basic (L:s = 2:1)	26\29 (1075.9 ¢)
Semihard (L:s = 5:2)	61\68 (1076.5 ¢)
Hard (L:s = 3:1)	35\39 (1076.9 ¢)
Superhard (L:s = 4:1)	44\49 (1077.6 ¢)
Collapsed (L:s = 1:0)	9\10 (1080.0 ¢)

10L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 9 small steps, repeating every octave. 10L 9s is a child scale of 9L 1s, expanding it by 9 tones. Generators that produce this scale range from 1073.7 ¢ to 1080 ¢, or from 120 ¢ to 126.3 ¢.

Intervals

Intervals of 10L 9s

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 63.2 ¢
	Major 1-mosstep	M1ms	L	63.2 ¢ to 120.0 ¢
2-mosstep	Perfect 2-mosstep	P2ms	L + s	120.0 ¢ to 126.3 ¢
	Augmented 2-mosstep	A2ms	2L	126.3 ¢ to 240.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	120.0 ¢ to 189.5 ¢
	Major 3-mosstep	M3ms	2L + s	189.5 ¢ to 240.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	240.0 ¢ to 252.6 ¢
	Major 4-mosstep	M4ms	3L + s	252.6 ¢ to 360.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	240.0 ¢ to 315.8 ¢
	Major 5-mosstep	M5ms	3L + 2s	315.8 ¢ to 360.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	360.0 ¢ to 378.9 ¢
	Major 6-mosstep	M6ms	4L + 2s	378.9 ¢ to 480.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	3L + 4s	360.0 ¢ to 442.1 ¢
	Major 7-mosstep	M7ms	4L + 3s	442.1 ¢ to 480.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	4L + 4s	480.0 ¢ to 505.3 ¢
	Major 8-mosstep	M8ms	5L + 3s	505.3 ¢ to 600.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	4L + 5s	480.0 ¢ to 568.4 ¢
	Major 9-mosstep	M9ms	5L + 4s	568.4 ¢ to 600.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	5L + 5s	600.0 ¢ to 631.6 ¢
	Major 10-mosstep	M10ms	6L + 4s	631.6 ¢ to 720.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	5L + 6s	600.0 ¢ to 694.7 ¢
	Major 11-mosstep	M11ms	6L + 5s	694.7 ¢ to 720.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	6L + 6s	720.0 ¢ to 757.9 ¢
	Major 12-mosstep	M12ms	7L + 5s	757.9 ¢ to 840.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	6L + 7s	720.0 ¢ to 821.1 ¢
	Major 13-mosstep	M13ms	7L + 6s	821.1 ¢ to 840.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	7L + 7s	840.0 ¢ to 884.2 ¢
	Major 14-mosstep	M14ms	8L + 6s	884.2 ¢ to 960.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	7L + 8s	840.0 ¢ to 947.4 ¢
	Major 15-mosstep	M15ms	8L + 7s	947.4 ¢ to 960.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	8L + 8s	960.0 ¢ to 1010.5 ¢
	Major 16-mosstep	M16ms	9L + 7s	1010.5 ¢ to 1080.0 ¢
17-mosstep	Diminished 17-mosstep	d17ms	8L + 9s	960.0 ¢ to 1073.7 ¢
	Perfect 17-mosstep	P17ms	9L + 8s	1073.7 ¢ to 1080.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	9L + 9s	1080.0 ¢ to 1136.8 ¢
	Major 18-mosstep	M18ms	10L + 8s	1136.8 ¢ to 1200.0 ¢
19-mosstep	Perfect 19-mosstep	P19ms	10L + 9s	1200.0 ¢

Scale tree

Scale tree and tuning spectrum of 10L 9s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
17\19						1073.684	126.316	1:1	1.000	Equalized 10L 9s
					94\105	1074.286	125.714	6:5	1.200
				77\86		1074.419	125.581	5:4	1.250
					137\153	1074.510	125.490	9:7	1.286
			60\67			1074.627	125.373	4:3	1.333	Supersoft 10L 9s
					163\182	1074.725	125.275	11:8	1.375
				103\115		1074.783	125.217	7:5	1.400
					146\163	1074.847	125.153	10:7	1.429
		43\48				1075.000	125.000	3:2	1.500	Soft 10L 9s
					155\173	1075.145	124.855	11:7	1.571
				112\125		1075.200	124.800	8:5	1.600
					181\202	1075.248	124.752	13:8	1.625
			69\77			1075.325	124.675	5:3	1.667	Semisoft 10L 9s
					164\183	1075.410	124.590	12:7	1.714
				95\106		1075.472	124.528	7:4	1.750
					121\135	1075.556	124.444	9:5	1.800
	26\29					1075.862	124.138	2:1	2.000	Basic 10L 9s Scales with tunings softer than this are proper
					113\126	1076.190	123.810	9:4	2.250
				87\97		1076.289	123.711	7:3	2.333
					148\165	1076.364	123.636	12:5	2.400
			61\68			1076.471	123.529	5:2	2.500	Semihard 10L 9s
					157\175	1076.571	123.429	13:5	2.600
				96\107		1076.636	123.364	8:3	2.667
					131\146	1076.712	123.288	11:4	2.750
		35\39				1076.923	123.077	3:1	3.000	Hard 10L 9s
					114\127	1077.165	122.835	10:3	3.333
				79\88		1077.273	122.727	7:2	3.500
					123\137	1077.372	122.628	11:3	3.667
			44\49			1077.551	122.449	4:1	4.000	Superhard 10L 9s
					97\108	1077.778	122.222	9:2	4.500
				53\59		1077.966	122.034	5:1	5.000
					62\69	1078.261	121.739	6:1	6.000
9\10						1080.000	120.000	1:0	→ ∞	Collapsed 10L 9s

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