9L 10s

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

┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║│║│║│║│║│║│││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLsLsLsLsLsLsLsLss ssLsLsLsLsLsLsLsLsL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Step size
Large	1\19 to 1\9 (63.2¢ to 133.3¢)
Small	0\9 to 1\19 (0.0¢ to 63.2¢)
Generator size
Bright	2\19 to 1\9 (126.3¢ to 133.3¢)
Dark	8\9 to 17\19 (1066.7¢ to 1073.7¢)
TAMNAMS information
Descends from	9L 1s (sinatonic)
Related MOS scales
Parent	9L 1s
Sister	10L 9s
Daughters	19L 9s 9L 19s
Equal tunings
Equalized (L:s = 1:1)	2\19 (126.3¢)
Supersoft (L:s = 4:3)	7\66 (127.3¢)
Soft (L:s = 3:2)	5\47 (127.7¢)
Semisoft (L:s = 5:3)	8\75 (128.0¢)
Basic (L:s = 2:1)	3\28 (128.6¢)
Semihard (L:s = 5:2)	7\65 (129.2¢)
Hard (L:s = 3:1)	4\37 (129.7¢)
Superhard (L:s = 4:1)	5\46 (130.4¢)
Collapsed (L:s = 1:0)	1\9 (133.3¢)

9L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 10 small steps, repeating every octave. 9L 10s is a child scale of 9L 1s, expanding it by 9 tones. Generators that produce this scale range from 126.3¢ to 133.3¢, or from 1066.7¢ to 1073.7¢.

Modes

Modes of 9L 10s

UDP	Rotational order	Step pattern
18|0	1	LsLsLsLsLsLsLsLsLss
17|1	3	LsLsLsLsLsLsLsLssLs
16|2	5	LsLsLsLsLsLsLssLsLs
15|3	7	LsLsLsLsLsLssLsLsLs
14|4	9	LsLsLsLsLssLsLsLsLs
13|5	11	LsLsLsLssLsLsLsLsLs
12|6	13	LsLsLssLsLsLsLsLsLs
11|7	15	LsLssLsLsLsLsLsLsLs
10|8	17	LssLsLsLsLsLsLsLsLs
9|9	19	sLsLsLsLsLsLsLsLsLs
8|10	2	sLsLsLsLsLsLsLsLssL
7|11	4	sLsLsLsLsLsLsLssLsL
6|12	6	sLsLsLsLsLsLssLsLsL
5|13	8	sLsLsLsLsLssLsLsLsL
4|14	10	sLsLsLsLssLsLsLsLsL
3|15	12	sLsLsLssLsLsLsLsLsL
2|16	14	sLsLssLsLsLsLsLsLsL
1|17	16	sLssLsLsLsLsLsLsLsL
0|18	18	ssLsLsLsLsLsLsLsLsL

Scale tree

Scale tree and tuning spectrum of 9L 10s

Generator (in steps of edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
2\19						126.316	1073.684	1:1	1.000	Equalized 9L 10s
					11\104	126.923	1073.077	6:5	1.200
				9\85		127.059	1072.941	5:4	1.250
					16\151	127.152	1072.848	9:7	1.286
			7\66			127.273	1072.727	4:3	1.333	Supersoft 9L 10s
					19\179	127.374	1072.626	11:8	1.375
				12\113		127.434	1072.566	7:5	1.400
					17\160	127.500	1072.500	10:7	1.429
		5\47				127.660	1072.340	3:2	1.500	Soft 9L 10s
					18\169	127.811	1072.189	11:7	1.571
				13\122		127.869	1072.131	8:5	1.600
					21\197	127.919	1072.081	13:8	1.625
			8\75			128.000	1072.000	5:3	1.667	Semisoft 9L 10s
					19\178	128.090	1071.910	12:7	1.714
				11\103		128.155	1071.845	7:4	1.750
					14\131	128.244	1071.756	9:5	1.800
	3\28					128.571	1071.429	2:1	2.000	Basic 9L 10s Scales with tunings softer than this are proper
					13\121	128.926	1071.074	9:4	2.250
				10\93		129.032	1070.968	7:3	2.333
					17\158	129.114	1070.886	12:5	2.400
			7\65			129.231	1070.769	5:2	2.500	Semihard 9L 10s
					18\167	129.341	1070.659	13:5	2.600
				11\102		129.412	1070.588	8:3	2.667
					15\139	129.496	1070.504	11:4	2.750
		4\37				129.730	1070.270	3:1	3.000	Hard 9L 10s
					13\120	130.000	1070.000	10:3	3.333
				9\83		130.120	1069.880	7:2	3.500
					14\129	130.233	1069.767	11:3	3.667
			5\46			130.435	1069.565	4:1	4.000	Superhard 9L 10s
					11\101	130.693	1069.307	9:2	4.500
				6\55		130.909	1069.091	5:1	5.000
					7\64	131.250	1068.750	6:1	6.000
1\9						133.333	1066.667	1:0	→ ∞	Collapsed 9L 10s

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