8L 10s

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

┌╥┬╥┬╥┬╥┬┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║││║│║│║│║│││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLsLsLssLsLsLsLss ssLsLsLsLssLsLsLsL
Equave	2/1 (1200.0¢)
Period	1\2 (600.0¢)
Generator size
Bright	2\18 to 1\8 (133.3¢ to 150.0¢)
Dark	3\8 to 7\18 (450.0¢ to 466.7¢)
TAMNAMS information
Descends from	8L 2s (taric)
Ancestor's step ratio range	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	8L 2s
Sister	10L 8s
Daughters	18L 8s, 8L 18s
Neutralized	16L 2s
2-Flought	26L 10s, 8L 28s
Equal tunings
Equalized (L:s = 1:1)	2\18 (133.3¢)
Supersoft (L:s = 4:3)	7\62 (135.5¢)
Soft (L:s = 3:2)	5\44 (136.4¢)
Semisoft (L:s = 5:3)	8\70 (137.1¢)
Basic (L:s = 2:1)	3\26 (138.5¢)
Semihard (L:s = 5:2)	7\60 (140.0¢)
Hard (L:s = 3:1)	4\34 (141.2¢)
Superhard (L:s = 4:1)	5\42 (142.9¢)
Collapsed (L:s = 1:0)	1\8 (150.0¢)

8L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 10 small steps, with a period of 4 large steps and 5 small steps that repeats every 600.0¢, or twice every octave. 8L 10s is a child scale of 8L 2s, expanding it by 8 tones. Generators that produce this scale range from 133.3¢ to 150¢, or from 450¢ to 466.7¢.

Modes

Modes of 8L 10s

UDP	Cyclic order	Step pattern
16|0(2)	1	LsLsLsLssLsLsLsLss
14|2(2)	3	LsLsLssLsLsLsLssLs
12|4(2)	5	LsLssLsLsLsLssLsLs
10|6(2)	7	LssLsLsLsLssLsLsLs
8|8(2)	9	sLsLsLsLssLsLsLsLs
6|10(2)	2	sLsLsLssLsLsLsLssL
4|12(2)	4	sLsLssLsLsLsLssLsL
2|14(2)	6	sLssLsLsLsLssLsLsL
0|16(2)	8	ssLsLsLsLssLsLsLsL

Intervals

Intervals of 8L 10s

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 66.7¢
	Major 1-mosstep	M1ms	L	66.7¢ to 150.0¢
2-mosstep	Diminished 2-mosstep	d2ms	2s	0.0¢ to 133.3¢
	Perfect 2-mosstep	P2ms	L + s	133.3¢ to 150.0¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	150.0¢ to 200.0¢
	Major 3-mosstep	M3ms	2L + s	200.0¢ to 300.0¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	150.0¢ to 266.7¢
	Major 4-mosstep	M4ms	2L + 2s	266.7¢ to 300.0¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	300.0¢ to 333.3¢
	Major 5-mosstep	M5ms	3L + 2s	333.3¢ to 450.0¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	300.0¢ to 400.0¢
	Major 6-mosstep	M6ms	3L + 3s	400.0¢ to 450.0¢
7-mosstep	Perfect 7-mosstep	P7ms	3L + 4s	450.0¢ to 466.7¢
	Augmented 7-mosstep	A7ms	4L + 3s	466.7¢ to 600.0¢
8-mosstep	Minor 8-mosstep	m8ms	3L + 5s	450.0¢ to 533.3¢
	Major 8-mosstep	M8ms	4L + 4s	533.3¢ to 600.0¢
9-mosstep	Perfect 9-mosstep	P9ms	4L + 5s	600.0¢
10-mosstep	Minor 10-mosstep	m10ms	4L + 6s	600.0¢ to 666.7¢
	Major 10-mosstep	M10ms	5L + 5s	666.7¢ to 750.0¢
11-mosstep	Diminished 11-mosstep	d11ms	4L + 7s	600.0¢ to 733.3¢
	Perfect 11-mosstep	P11ms	5L + 6s	733.3¢ to 750.0¢
12-mosstep	Minor 12-mosstep	m12ms	5L + 7s	750.0¢ to 800.0¢
	Major 12-mosstep	M12ms	6L + 6s	800.0¢ to 900.0¢
13-mosstep	Minor 13-mosstep	m13ms	5L + 8s	750.0¢ to 866.7¢
	Major 13-mosstep	M13ms	6L + 7s	866.7¢ to 900.0¢
14-mosstep	Minor 14-mosstep	m14ms	6L + 8s	900.0¢ to 933.3¢
	Major 14-mosstep	M14ms	7L + 7s	933.3¢ to 1050.0¢
15-mosstep	Minor 15-mosstep	m15ms	6L + 9s	900.0¢ to 1000.0¢
	Major 15-mosstep	M15ms	7L + 8s	1000.0¢ to 1050.0¢
16-mosstep	Perfect 16-mosstep	P16ms	7L + 9s	1050.0¢ to 1066.7¢
	Augmented 16-mosstep	A16ms	8L + 8s	1066.7¢ to 1200.0¢
17-mosstep	Minor 17-mosstep	m17ms	7L + 10s	1050.0¢ to 1133.3¢
	Major 17-mosstep	M17ms	8L + 9s	1133.3¢ to 1200.0¢
18-mosstep	Perfect 18-mosstep	P18ms	8L + 10s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 8L 10s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
2\18						133.333	466.667	1:1	1.000	Equalized 8L 10s
					11\98	134.694	465.306	6:5	1.200
				9\80		135.000	465.000	5:4	1.250
					16\142	135.211	464.789	9:7	1.286
			7\62			135.484	464.516	4:3	1.333	Supersoft 8L 10s
					19\168	135.714	464.286	11:8	1.375
				12\106		135.849	464.151	7:5	1.400
					17\150	136.000	464.000	10:7	1.429
		5\44				136.364	463.636	3:2	1.500	Soft 8L 10s
					18\158	136.709	463.291	11:7	1.571
				13\114		136.842	463.158	8:5	1.600
					21\184	136.957	463.043	13:8	1.625
			8\70			137.143	462.857	5:3	1.667	Semisoft 8L 10s
					19\166	137.349	462.651	12:7	1.714
				11\96		137.500	462.500	7:4	1.750
					14\122	137.705	462.295	9:5	1.800
	3\26					138.462	461.538	2:1	2.000	Basic 8L 10s Scales with tunings softer than this are proper
					13\112	139.286	460.714	9:4	2.250
				10\86		139.535	460.465	7:3	2.333
					17\146	139.726	460.274	12:5	2.400
			7\60			140.000	460.000	5:2	2.500	Semihard 8L 10s
					18\154	140.260	459.740	13:5	2.600
				11\94		140.426	459.574	8:3	2.667
					15\128	140.625	459.375	11:4	2.750
		4\34				141.176	458.824	3:1	3.000	Hard 8L 10s
					13\110	141.818	458.182	10:3	3.333
				9\76		142.105	457.895	7:2	3.500
					14\118	142.373	457.627	11:3	3.667
			5\42			142.857	457.143	4:1	4.000	Superhard 8L 10s
					11\92	143.478	456.522	9:2	4.500
				6\50		144.000	456.000	5:1	5.000
					7\58	144.828	455.172	6:1	6.000
1\8						150.000	450.000	1:0	→ ∞	Collapsed 8L 10s

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