10L 4s

Todo: review Adopt scale tree template, review entries

↖ 9L 3s	↑ 10L 3s	11L 3s ↗
← 9L 4s	10L 4s	11L 4s →
↙ 9L 5s	↓ 10L 5s	11L 5s ↘

┌╥╥╥┬╥╥┬╥╥╥┬╥╥┬┐ │║║║│║║│║║║│║║││ ││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLsLLsLLLsLLs sLLsLLLsLLsLLL
Equave	2/1 (1200.0 ¢)
Period	1\2 (600.0 ¢)
Generator size
Bright	4\14 to 3\10 (342.9 ¢ to 360.0 ¢)
Dark	2\10 to 3\14 (240.0 ¢ to 257.1 ¢)
TAMNAMS information
Related to	4L 6s (lime)
With tunings	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	4L 6s
Sister	4L 10s
Daughters	14L 10s, 10L 14s
Neutralized	6L 8s
2-Flought	24L 4s, 10L 18s
Equal tunings
Equalized (L:s = 1:1)	4\14 (342.9 ¢)
Supersoft (L:s = 4:3)	15\52 (346.2 ¢)
Soft (L:s = 3:2)	11\38 (347.4 ¢)
Semisoft (L:s = 5:3)	18\62 (348.4 ¢)
Basic (L:s = 2:1)	7\24 (350.0 ¢)
Semihard (L:s = 5:2)	17\58 (351.7 ¢)
Hard (L:s = 3:1)	10\34 (352.9 ¢)
Superhard (L:s = 4:1)	13\44 (354.5 ¢)
Collapsed (L:s = 1:0)	3\10 (360.0 ¢)

10L 4s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 4 small steps, with a period of 5 large steps and 2 small steps that repeats every 600.0 ¢, or twice every octave. 10L 4s is a child scale of 4L 6s, expanding it by 4 tones. Generators that produce this scale range from 342.9 ¢ to 360 ¢, or from 240 ¢ to 257.1 ¢.

Modes

Modes of 10L 4s

UDP	Cyclic order	Step pattern
12|0(2)	1	LLLsLLsLLLsLLs
10|2(2)	5	LLsLLLsLLsLLLs
8|4(2)	2	LLsLLsLLLsLLsL
6|6(2)	6	LsLLLsLLsLLLsL
4|8(2)	3	LsLLsLLLsLLsLL
2|10(2)	7	sLLLsLLsLLLsLL
0|12(2)	4	sLLsLLLsLLsLLL

Tuning spectrum

Decimal / decibel / anguirus range

generator							L	s	L/s	gen (cents)	comment
2\10							1	0		240.000
						15\74	7	1	7.000	243.243
					13\64		6	1	6.000	243.750	Decibel is optimal around here
				11\54			5	1	5.000	244.444
					20\98		9	2	4.500	244.898
			9\44				4	1	4.000	245.455
					25\122		11	3	3.667	245.902
				16\78			7	2	3.500	246.154
					23\112		10	3	3.333	246.429
		7\34					3	1	3.000	247.059
					26\126		11	4	2.750	247.619
				19\92			8	3	2.667	247.826	Anguirus is optimal around here
					31\150		13	5	2.600	248.000	Sruti is around here
			12\58				5	2	2.500	248.276
					29\140		12	5	2.400	248.571	Semihemi is around here
				17\82			7	3	2.333	248.780
					22\106		9	4	2.250	249.057
	5\24						2	1	2.000	250.000
					23\110		9	5	1.800	250.909
				18\86			7	4	1.750	251.163
					31\148		12	7	1.714	251.351
			13\62				5	3	1.667	251.613	Decimal (7-limit) is optimal around here
				21\100			8	5	1.600	252.000
					29\138		11	7	1.571	252.174
		8\38					3	2	1.500	252.632
					27\128		10	7	1.429	253.125
				19\90			7	5	1.400	253.333
					30\142		11	8	1.375	253.521	Decimal (11-limit) is optimal around here
			11\52				4	3	1.333	253.846
					25\118		9	7	1.286	254.237
				14\66			5	4	1.250	254.545
					17\80		6	5	1.200	255.000
						20\94	7	6	1.167	255.319
3\14							1	1	1.000	257.143