1L 11s

	↑ 1L 10s	2L 10s ↗
	1L 11s	2L 11s →
	↓ 1L 12s	2L 12s ↘

┌╥┬┬┬┬┬┬┬┬┬┬┬┐ │║││││││││││││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	Lsssssssssss sssssssssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	11\12 to 1\1 (1100.0 ¢ to 1200.0 ¢)
Dark	0\1 to 1\12 (0.0 ¢ to 100.0 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	1L 10s
Sister	11L 1s
Daughters	12L 1s, 1L 12s
Neutralized	2L 10s
2-Flought	13L 11s, 1L 23s
Equal tunings
Equalized (L:s = 1:1)	11\12 (1100.0 ¢)
Supersoft (L:s = 4:3)	34\37 (1102.7 ¢)
Soft (L:s = 3:2)	23\25 (1104.0 ¢)
Semisoft (L:s = 5:3)	35\38 (1105.3 ¢)
Basic (L:s = 2:1)	12\13 (1107.7 ¢)
Semihard (L:s = 5:2)	25\27 (1111.1 ¢)
Hard (L:s = 3:1)	13\14 (1114.3 ¢)
Superhard (L:s = 4:1)	14\15 (1120.0 ¢)
Collapsed (L:s = 1:0)	1\1 (1200.0 ¢)

1L 11s is the MOS pattern Lsssssssssss with small steps ranging from 0\1 (0¢) to 1\12 (one step of 12edo = 100¢).

This MOS, also called the "happy dodecatonic", is not a complete scale for any "interesting" temperament ― the simplest absolute harmonic entropy minimum for it is where +7 generators equals a meantone fifth, and even there it implies a val with warts for 3 and (for the most part) 5. Perhaps the only use for it is to extend it to 13 tones, i.e. to make it into a different MOS.

Modes

• 11|0 Lsssssssssss
• 10|1 sLssssssssss
• 9|2 ssLsssssssss
• 8|3 sssLssssssss
• 7|4 ssssLsssssss
• 6|5 sssssLssssss
• 5|6 ssssssLsssss
• 4|7 sssssssLssss
• 3|8 ssssssssLsss
• 2|9 sssssssssLss
• 1|10 ssssssssssLs
• 0|11 sssssssssssL

Scale tree

Generator ranges:

• Chroma-positive generator: 1100 cents (11\12) to 1200 cents (1\1)
• Chroma-negative generator: 0 cents (0\1) to 100 cents (1\12)

Small step (chroma-negative generator)								Cents	L	s	L/s	Comments
1\12								100.000	1	1	1.000
							7\85	98.824	8	7	1.143	Passionate/pash
						6\73		98.630	7	6	1.167	Passionate
					5\61			98.361	6	5	1.200
				4\49				97.959	5	4	1.250	Passion
					7\86			97.674	9	7	1.286
			3\37					97.297	4	3	1.333
					8\99			96.970	11	8	1.375
				5\62				96.774	7	5	1.400
					7\87			96.552	10	7	1.429
		2\25						96.000	3	2	1.500
					7\88			95.455	11	7	1.571
				5\63				95.238	8	5	1.600
					8\101			95.050	13	8	1.625	Unnamed golden tuning (95.1020¢)
			3\38					94.737	5	3	1.667
					7\89			94.382	12	7	1.714
				4\51				94.118	7	4	1.750
					5\64			93.750	9	5	1.800
	1\13							92.308	2	1	2.000	Basic 1L 11s (small steps larger than this are proper)
						5\66		90.909	11	5	2.200
					4\53			90.566	9	4	2.250
						7\93		90.323	16	7	2.286
				3\40				90.000	7	3	2.333
						8\107		89.720	19	8	2.375
					5\67			89.552	12	5	2.400
						7\94		89.362	17	7	2.429
			2\27					88.889	5	2	2.500
						7\95		88.421	18	7	2.571
					5\68			88.235	13	5	2.600	Octacot
						8\109		88.073	21	8	2.625	Golden octacot (88.1184¢)
				3\41				87.805	8	3	2.667	Octacot
						7\96		87.500	19	7	2.714
					4\55			87.273	11	4	2.750
						5\69		86.957	14	5	2.800
		1\14						85.714	3	1	3.000
							5\71	84.507	16	5	3.200
						4\57		84.211	13	4	3.250
							7\100	84.000	23	7	3.286
					3\43			83.721	10	3	3.333
							8\115	83.478	27	8	3.375
						5\72		83.333	17	5	3.400
							7\101	83.168	24	7	3.429
				2\29				82.759	7	2	3.500
							7\102	82.353	25	7	3.571
						5\73		82.192	18	5	3.600
							8\117	82.051	29	8	3.625
					3\44			81.818	11	3	3.667
							7\103	81.553	26	7	3.714
						4\59		81.356	15	4	3.750
							5\74	81.081	19	5	3.800
			1\15					80.000	4	1	4.000
							4\61	78.689	17	4	4.250
						3\46		78.261	13	3	4.333
							5\77	77.922	22	5	4.400	Valentine
					2\31			77.419	9	2	4.500
							5\78	76.923	23	5	4.600
						3\47		76.596	14	3	4.667
							4\63	76.190	19	4	4.750
				1\16				75.000	5	1	5.000
							3\49	73.469	16	3	5.333
						2\33		72.727	11	2	5.500
							3\50	72.000	17	3	5.667
					1\17			70.588	6	1	6.000
							2\35	68.571	13	2	6.500
						1\18		66.667	7	1	7.000
							1\19	63.158	8	1	8.000	Unicorn
0\1								0.000	1	0	→ inf