11L 8s

↖ 10L 7s	↑ 11L 7s	12L 7s ↗
← 10L 8s	11L 8s	12L 8s →
↙ 10L 9s	↓ 11L 9s	12L 9s ↘

┌╥╥┬╥┬╥╥┬╥┬╥┬╥╥┬╥┬╥┬┐ │║║│║│║║│║│║│║║│║│║││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLsLLsLsLsLLsLsLs sLsLsLLsLsLsLLsLsLL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	12\19 to 7\11 (757.9¢ to 763.6¢)
Dark	4\11 to 7\19 (436.4¢ to 442.1¢)
TAMNAMS information
Descends from	3L 5s (checkertonic)
Ancestor's step ratio range	3:2 to 2:1 (hyposoft)
Related MOS scales
Parent	8L 3s
Sister	8L 11s
Daughters	19L 11s, 11L 19s
Neutralized	3L 16s
2-Flought	30L 8s, 11L 27s
Equal tunings
Equalized (L:s = 1:1)	12\19 (757.9¢)
Supersoft (L:s = 4:3)	43\68 (758.8¢)
Soft (L:s = 3:2)	31\49 (759.2¢)
Semisoft (L:s = 5:3)	50\79 (759.5¢)
Basic (L:s = 2:1)	19\30 (760.0¢)
Semihard (L:s = 5:2)	45\71 (760.6¢)
Hard (L:s = 3:1)	26\41 (761.0¢)
Superhard (L:s = 4:1)	33\52 (761.5¢)
Collapsed (L:s = 1:0)	7\11 (763.6¢)

11L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 8 small steps, repeating every octave. 11L 8s is a grandchild scale of 3L 5s, expanding it by 11 tones. Generators that produce this scale range from 757.9¢ to 763.6¢, or from 436.4¢ to 442.1¢.

Modes

Modes of 11L 8s

UDP	Cyclic order	Step pattern
18|0	1	LLsLsLLsLsLsLLsLsLs
17|1	13	LLsLsLsLLsLsLLsLsLs
16|2	6	LLsLsLsLLsLsLsLLsLs
15|3	18	LsLLsLsLLsLsLsLLsLs
14|4	11	LsLLsLsLsLLsLsLLsLs
13|5	4	LsLLsLsLsLLsLsLsLLs
12|6	16	LsLsLLsLsLLsLsLsLLs
11|7	9	LsLsLLsLsLsLLsLsLLs
10|8	2	LsLsLLsLsLsLLsLsLsL
9|9	14	LsLsLsLLsLsLLsLsLsL
8|10	7	LsLsLsLLsLsLsLLsLsL
7|11	19	sLLsLsLLsLsLsLLsLsL
6|12	12	sLLsLsLsLLsLsLLsLsL
5|13	5	sLLsLsLsLLsLsLsLLsL
4|14	17	sLsLLsLsLLsLsLsLLsL
3|15	10	sLsLLsLsLsLLsLsLLsL
2|16	3	sLsLLsLsLsLLsLsLsLL
1|17	15	sLsLsLLsLsLLsLsLsLL
0|18	8	sLsLsLLsLsLsLLsLsLL

Intervals

Intervals of 11L 8s

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 109.1¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	109.1¢ to 126.3¢
	Major 2-mosstep	M2ms	2L	126.3¢ to 218.2¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	109.1¢ to 189.5¢
	Major 3-mosstep	M3ms	2L + s	189.5¢ to 218.2¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	218.2¢ to 252.6¢
	Major 4-mosstep	M4ms	3L + s	252.6¢ to 327.3¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	218.2¢ to 315.8¢
	Major 5-mosstep	M5ms	3L + 2s	315.8¢ to 327.3¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	327.3¢ to 378.9¢
	Major 6-mosstep	M6ms	4L + 2s	378.9¢ to 436.4¢
7-mosstep	Perfect 7-mosstep	P7ms	4L + 3s	436.4¢ to 442.1¢
	Augmented 7-mosstep	A7ms	5L + 2s	442.1¢ to 545.5¢
8-mosstep	Minor 8-mosstep	m8ms	4L + 4s	436.4¢ to 505.3¢
	Major 8-mosstep	M8ms	5L + 3s	505.3¢ to 545.5¢
9-mosstep	Minor 9-mosstep	m9ms	5L + 4s	545.5¢ to 568.4¢
	Major 9-mosstep	M9ms	6L + 3s	568.4¢ to 654.5¢
10-mosstep	Minor 10-mosstep	m10ms	5L + 5s	545.5¢ to 631.6¢
	Major 10-mosstep	M10ms	6L + 4s	631.6¢ to 654.5¢
11-mosstep	Minor 11-mosstep	m11ms	6L + 5s	654.5¢ to 694.7¢
	Major 11-mosstep	M11ms	7L + 4s	694.7¢ to 763.6¢
12-mosstep	Diminished 12-mosstep	d12ms	6L + 6s	654.5¢ to 757.9¢
	Perfect 12-mosstep	P12ms	7L + 5s	757.9¢ to 763.6¢
13-mosstep	Minor 13-mosstep	m13ms	7L + 6s	763.6¢ to 821.1¢
	Major 13-mosstep	M13ms	8L + 5s	821.1¢ to 872.7¢
14-mosstep	Minor 14-mosstep	m14ms	8L + 6s	872.7¢ to 884.2¢
	Major 14-mosstep	M14ms	9L + 5s	884.2¢ to 981.8¢
15-mosstep	Minor 15-mosstep	m15ms	8L + 7s	872.7¢ to 947.4¢
	Major 15-mosstep	M15ms	9L + 6s	947.4¢ to 981.8¢
16-mosstep	Minor 16-mosstep	m16ms	9L + 7s	981.8¢ to 1010.5¢
	Major 16-mosstep	M16ms	10L + 6s	1010.5¢ to 1090.9¢
17-mosstep	Minor 17-mosstep	m17ms	9L + 8s	981.8¢ to 1073.7¢
	Major 17-mosstep	M17ms	10L + 7s	1073.7¢ to 1090.9¢
18-mosstep	Minor 18-mosstep	m18ms	10L + 8s	1090.9¢ to 1136.8¢
	Major 18-mosstep	M18ms	11L + 7s	1136.8¢ to 1200.0¢
19-mosstep	Perfect 19-mosstep	P19ms	11L + 8s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 11L 8s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
12\19						757.895	442.105	1:1	1.000	Equalized 11L 8s
					67\106	758.491	441.509	6:5	1.200
				55\87		758.621	441.379	5:4	1.250
					98\155	758.710	441.290	9:7	1.286
			43\68			758.824	441.176	4:3	1.333	Supersoft 11L 8s
					117\185	758.919	441.081	11:8	1.375
				74\117		758.974	441.026	7:5	1.400
					105\166	759.036	440.964	10:7	1.429
		31\49				759.184	440.816	3:2	1.500	Soft 11L 8s
					112\177	759.322	440.678	11:7	1.571
				81\128		759.375	440.625	8:5	1.600
					131\207	759.420	440.580	13:8	1.625
			50\79			759.494	440.506	5:3	1.667	Semisoft 11L 8s
					119\188	759.574	440.426	12:7	1.714
				69\109		759.633	440.367	7:4	1.750
					88\139	759.712	440.288	9:5	1.800
	19\30					760.000	440.000	2:1	2.000	Basic 11L 8s Scales with tunings softer than this are proper
					83\131	760.305	439.695	9:4	2.250
				64\101		760.396	439.604	7:3	2.333
					109\172	760.465	439.535	12:5	2.400
			45\71			760.563	439.437	5:2	2.500	Semihard 11L 8s
					116\183	760.656	439.344	13:5	2.600
				71\112		760.714	439.286	8:3	2.667
					97\153	760.784	439.216	11:4	2.750
		26\41				760.976	439.024	3:1	3.000	Hard 11L 8s
					85\134	761.194	438.806	10:3	3.333
				59\93		761.290	438.710	7:2	3.500
					92\145	761.379	438.621	11:3	3.667
			33\52			761.538	438.462	4:1	4.000	Superhard 11L 8s
					73\115	761.739	438.261	9:2	4.500
				40\63		761.905	438.095	5:1	5.000
					47\74	762.162	437.838	6:1	6.000
7\11						763.636	436.364	1:0	→ ∞	Collapsed 11L 8s

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