1L 10s

	↑ 1L 9s	2L 9s ↗
	1L 10s	2L 10s →
	↓ 1L 11s	2L 11s ↘

┌╥┬┬┬┬┬┬┬┬┬┬┐ │║│││││││││││ │││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	Lssssssssss ssssssssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	10\11 to 1\1 (1090.9 ¢ to 1200.0 ¢)
Dark	0\1 to 1\11 (0.0 ¢ to 109.1 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	1L 9s
Sister	10L 1s
Daughters	11L 1s, 1L 11s
Neutralized	2L 9s
2-Flought	12L 10s, 1L 21s
Equal tunings
Equalized (L:s = 1:1)	10\11 (1090.9 ¢)
Supersoft (L:s = 4:3)	31\34 (1094.1 ¢)
Soft (L:s = 3:2)	21\23 (1095.7 ¢)
Semisoft (L:s = 5:3)	32\35 (1097.1 ¢)
Basic (L:s = 2:1)	11\12 (1100.0 ¢)
Semihard (L:s = 5:2)	23\25 (1104.0 ¢)
Hard (L:s = 3:1)	12\13 (1107.7 ¢)
Superhard (L:s = 4:1)	13\14 (1114.3 ¢)
Collapsed (L:s = 1:0)	1\1 (1200.0 ¢)

This MOS, generated by any interval up to a diatonic semitone of 1/11edo (109.091 cents), achieves its simplest harmonic entropy minimum where two generators equal 9/8. The temperament which occupies this harmonic entropy minimum is called Ripple, but there are several lower (and more complex) harmonic entropy minima of note including (in descending order of generator height): Passion (6/5 = +3 generators), Octacot (3/2 = +8 generators), Nautilus (3/2 = -6 generators) and Valentine (7/4 = -3 generators).

Modes

• 10|0 Lssssssssss
• 9|1 sLsssssssss
• 8|2 ssLssssssss
• 7|3 sssLsssssss
• 6|4 ssssLssssss
• 5|5 sssssLsssss
• 4|6 ssssssLssss
• 3|7 sssssssLsss
• 2|8 ssssssssLss
• 1|9 sssssssssLs
• 0|10 ssssssssssL

Scale tree

Generator ranges:

• Chroma-positive generator: 1090.9091 cents (10\11) to 1200 cents (1\1)
• Chroma-negative generator: 0 cents (0\1) to 109.0909 cents (1\11)

Small step (chroma-negative generator)						Cents	L	s	L/s	Comments
1\11						109.091	1	1	1.000
					5\56	107.143	6	5	1.200
				4\45		106.667	5	4	1.250
					7\79	106.329	9	7	1.286
			3\34			105.882	4	3	1.333
					8\91	105.495	11	8	1.375
				5\57		105.263	7	5	1.400
					7\80	105.000	10	7	1.429	Septendesemi
		2\23				104.348	3	2	1.500
					7\81	103.704	11	7	1.571
				5\58		103.448	8	5	1.600
					8\93	103.226	13	8	1.625	Golden ripple (103.2877¢)
			3\35			102.857	5	3	1.667
					7\82	102.439	12	7	1.714
				4\47		102.128	7	4	1.750
					5\59	101.695	9	5	1.800
	1\12					100.000	2	1	2.000	Basic 1L 10s (small steps larger than this are proper)
					4\49	97.959	9	4	2.250
				3\37		97.297	7	3	2.333	Passion
					5\62	96.774	12	5	2.400
			2\25			96.000	5	2	2.500
					5\63	95.238	13	5	2.600	Unnamed golden tuning (95.102¢)
				3\38		94.737	8	3	2.667
					4\51	94.118	11	4	2.750
		1\13				92.308	3	1	3.000
					3\40	90.000	10	3	3.333
				2\27		88.889	7	2	3.500
					3\41	87.805	11	3	3.667	Octacot
			1\14			85.714	4	1	4.000
					2\29	82.759	9	2	4.500
				1\15		80.000	5	1	5.000	Valentine
					1\16	75.000	6	1	6.000
0\1						0.000	1	0	→ inf