9L 6s

↖ 8L 5s	↑ 9L 5s	10L 5s ↗
← 8L 6s	9L 6s	10L 6s →
↙ 8L 7s	↓ 9L 7s	10L 7s ↘

Scale structure
Step pattern	LLsLsLLsLsLLsLs sLsLLsLsLLsLsLL
Equave	2/1 (1200.0 ¢)
Period	1\3 (400.0 ¢)
Generator size
Bright	3\15 to 2\9 (240.0 ¢ to 266.7 ¢)
Dark	1\9 to 2\15 (133.3 ¢ to 160.0 ¢)
TAMNAMS information
Related to	6L 3s (hyrulic)
With tunings	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	6L 3s
Sister	6L 9s
Daughters	15L 9s, 9L 15s
Neutralized	3L 12s
2-Flought	24L 6s, 9L 21s
Equal tunings
Equalized (L:s = 1:1)	3\15 (240.0 ¢)
Supersoft (L:s = 4:3)	11\54 (244.4 ¢)
Soft (L:s = 3:2)	8\39 (246.2 ¢)
Semisoft (L:s = 5:3)	13\63 (247.6 ¢)
Basic (L:s = 2:1)	5\24 (250.0 ¢)
Semihard (L:s = 5:2)	12\57 (252.6 ¢)
Hard (L:s = 3:1)	7\33 (254.5 ¢)
Superhard (L:s = 4:1)	9\42 (257.1 ¢)
Collapsed (L:s = 1:0)	2\9 (266.7 ¢)
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9L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 6 small steps, with a period of 3 large steps and 2 small steps that repeats every 400.0 ¢, or 3 times every octave. 9L 6s is a child scale of 6L 3s, expanding it by 6 tones. Generators that produce this scale range from 240 ¢ to 266.7 ¢, or from 133.3 ¢ to 160 ¢.

The period (400¢) minus one dark generator represents a 23+-limit interval between 23/20 and 7/6 (between ~242¢ to ~267¢).

Modes

Modes of 9L 6s

UDP	Cyclic order	Step pattern
12|0(3)	1	LLsLsLLsLsLLsLs
9|3(3)	4	LsLLsLsLLsLsLLs
6|6(3)	2	LsLsLLsLsLLsLsL
3|9(3)	5	sLLsLsLLsLsLLsL
0|12(3)	3	sLsLLsLsLLsLsLL

Intervals

Intervals of 9L 6s

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 133.3 ¢
2-mosstep	Perfect 2-mosstep	P2ms	L + s	133.3 ¢ to 160.0 ¢
	Augmented 2-mosstep	A2ms	2L	160.0 ¢ to 266.7 ¢
3-mosstep	Diminished 3-mosstep	d3ms	L + 2s	133.3 ¢ to 240.0 ¢
	Perfect 3-mosstep	P3ms	2L + s	240.0 ¢ to 266.7 ¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	266.7 ¢ to 320.0 ¢
	Major 4-mosstep	M4ms	3L + s	320.0 ¢ to 400.0 ¢
5-mosstep	Perfect 5-mosstep	P5ms	3L + 2s	400.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	400.0 ¢ to 480.0 ¢
	Major 6-mosstep	M6ms	4L + 2s	480.0 ¢ to 533.3 ¢
7-mosstep	Perfect 7-mosstep	P7ms	4L + 3s	533.3 ¢ to 560.0 ¢
	Augmented 7-mosstep	A7ms	5L + 2s	560.0 ¢ to 666.7 ¢
8-mosstep	Diminished 8-mosstep	d8ms	4L + 4s	533.3 ¢ to 640.0 ¢
	Perfect 8-mosstep	P8ms	5L + 3s	640.0 ¢ to 666.7 ¢
9-mosstep	Minor 9-mosstep	m9ms	5L + 4s	666.7 ¢ to 720.0 ¢
	Major 9-mosstep	M9ms	6L + 3s	720.0 ¢ to 800.0 ¢
10-mosstep	Perfect 10-mosstep	P10ms	6L + 4s	800.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	6L + 5s	800.0 ¢ to 880.0 ¢
	Major 11-mosstep	M11ms	7L + 4s	880.0 ¢ to 933.3 ¢
12-mosstep	Perfect 12-mosstep	P12ms	7L + 5s	933.3 ¢ to 960.0 ¢
	Augmented 12-mosstep	A12ms	8L + 4s	960.0 ¢ to 1066.7 ¢
13-mosstep	Diminished 13-mosstep	d13ms	7L + 6s	933.3 ¢ to 1040.0 ¢
	Perfect 13-mosstep	P13ms	8L + 5s	1040.0 ¢ to 1066.7 ¢
14-mosstep	Minor 14-mosstep	m14ms	8L + 6s	1066.7 ¢ to 1120.0 ¢
	Major 14-mosstep	M14ms	9L + 5s	1120.0 ¢ to 1200.0 ¢
15-mosstep	Perfect 15-mosstep	P15ms	9L + 6s	1200.0 ¢

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum | 3/2 = Example comment | 4/3 = Another example comment }} The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 9L 6s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
3\15						240.000	160.000	1:1	1.000	Equalized 9L 6s
					17\84	242.857	157.143	6:5	1.200
				14\69		243.478	156.522	5:4	1.250
					25\123	243.902	156.098	9:7	1.286
			11\54			244.444	155.556	4:3	1.333	Supersoft 9L 6s
					30\147	244.898	155.102	11:8	1.375
				19\93		245.161	154.839	7:5	1.400
					27\132	245.455	154.545	10:7	1.429
		8\39				246.154	153.846	3:2	1.500	Soft 9L 6s
					29\141	246.809	153.191	11:7	1.571
				21\102		247.059	152.941	8:5	1.600
					34\165	247.273	152.727	13:8	1.625
			13\63			247.619	152.381	5:3	1.667	Semisoft 9L 6s
					31\150	248.000	152.000	12:7	1.714
				18\87		248.276	151.724	7:4	1.750
					23\111	248.649	151.351	9:5	1.800
	5\24					250.000	150.000	2:1	2.000	Basic 9L 6s Scales with tunings softer than this are proper
					22\105	251.429	148.571	9:4	2.250
				17\81		251.852	148.148	7:3	2.333
					29\138	252.174	147.826	12:5	2.400
			12\57			252.632	147.368	5:2	2.500	Semihard 9L 6s
					31\147	253.061	146.939	13:5	2.600
				19\90		253.333	146.667	8:3	2.667
					26\123	253.659	146.341	11:4	2.750
		7\33				254.545	145.455	3:1	3.000	Hard 9L 6s
					23\108	255.556	144.444	10:3	3.333
				16\75		256.000	144.000	7:2	3.500
					25\117	256.410	143.590	11:3	3.667
			9\42			257.143	142.857	4:1	4.000	Superhard 9L 6s
					20\93	258.065	141.935	9:2	4.500
				11\51		258.824	141.176	5:1	5.000
					13\60	260.000	140.000	6:1	6.000
2\9						266.667	133.333	1:0	→ ∞	Collapsed 9L 6s

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