10L 8s

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

┌╥╥┬╥┬╥┬╥┬╥╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║║│║│║│║││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLsLsLsLLsLsLsLs sLsLsLsLLsLsLsLsLL
Equave	2/1 (1200.0¢)
Period	1\2 (600.0¢)
Generator size
Bright	7\18 to 4\10 (466.7¢ to 480.0¢)
Dark	1\10 to 2\18 (120.0¢ to 133.3¢)
TAMNAMS information
Descends from	8L 2s (taric)
Ancestor's step ratio range	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	8L 2s
Sister	8L 10s
Daughters	18L 10s, 10L 18s
Neutralized	2L 16s
2-Flought	28L 8s, 10L 26s
Equal tunings
Equalized (L:s = 1:1)	7\18 (466.7¢)
Supersoft (L:s = 4:3)	25\64 (468.8¢)
Soft (L:s = 3:2)	18\46 (469.6¢)
Semisoft (L:s = 5:3)	29\74 (470.3¢)
Basic (L:s = 2:1)	11\28 (471.4¢)
Semihard (L:s = 5:2)	26\66 (472.7¢)
Hard (L:s = 3:1)	15\38 (473.7¢)
Superhard (L:s = 4:1)	19\48 (475.0¢)
Collapsed (L:s = 1:0)	4\10 (480.0¢)

10L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 8 small steps, with a period of 5 large steps and 4 small steps that repeats every 600.0¢, or twice every octave. 10L 8s is a child scale of 8L 2s, expanding it by 8 tones. Generators that produce this scale range from 466.7¢ to 480¢, or from 120¢ to 133.3¢.

Modes

Modes of 10L 8s

UDP	Cyclic order	Step pattern
16|0(2)	1	LLsLsLsLsLLsLsLsLs
14|2(2)	8	LsLLsLsLsLsLLsLsLs
12|4(2)	6	LsLsLLsLsLsLsLLsLs
10|6(2)	4	LsLsLsLLsLsLsLsLLs
8|8(2)	2	LsLsLsLsLLsLsLsLsL
6|10(2)	9	sLLsLsLsLsLLsLsLsL
4|12(2)	7	sLsLLsLsLsLsLLsLsL
2|14(2)	5	sLsLsLLsLsLsLsLLsL
0|16(2)	3	sLsLsLsLLsLsLsLsLL

Intervals

Intervals of 10L 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 66.7¢
	Major 1-mosstep	M1ms	L	66.7¢ to 120.0¢
2-mosstep	Perfect 2-mosstep	P2ms	L + s	120.0¢ to 133.3¢
	Augmented 2-mosstep	A2ms	2L	133.3¢ to 240.0¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	120.0¢ to 200.0¢
	Major 3-mosstep	M3ms	2L + s	200.0¢ to 240.0¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	240.0¢ to 266.7¢
	Major 4-mosstep	M4ms	3L + s	266.7¢ to 360.0¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	240.0¢ to 333.3¢
	Major 5-mosstep	M5ms	3L + 2s	333.3¢ to 360.0¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	360.0¢ to 400.0¢
	Major 6-mosstep	M6ms	4L + 2s	400.0¢ to 480.0¢
7-mosstep	Diminished 7-mosstep	d7ms	3L + 4s	360.0¢ to 466.7¢
	Perfect 7-mosstep	P7ms	4L + 3s	466.7¢ to 480.0¢
8-mosstep	Minor 8-mosstep	m8ms	4L + 4s	480.0¢ to 533.3¢
	Major 8-mosstep	M8ms	5L + 3s	533.3¢ to 600.0¢
9-mosstep	Perfect 9-mosstep	P9ms	5L + 4s	600.0¢
10-mosstep	Minor 10-mosstep	m10ms	5L + 5s	600.0¢ to 666.7¢
	Major 10-mosstep	M10ms	6L + 4s	666.7¢ to 720.0¢
11-mosstep	Perfect 11-mosstep	P11ms	6L + 5s	720.0¢ to 733.3¢
	Augmented 11-mosstep	A11ms	7L + 4s	733.3¢ to 840.0¢
12-mosstep	Minor 12-mosstep	m12ms	6L + 6s	720.0¢ to 800.0¢
	Major 12-mosstep	M12ms	7L + 5s	800.0¢ to 840.0¢
13-mosstep	Minor 13-mosstep	m13ms	7L + 6s	840.0¢ to 866.7¢
	Major 13-mosstep	M13ms	8L + 5s	866.7¢ to 960.0¢
14-mosstep	Minor 14-mosstep	m14ms	7L + 7s	840.0¢ to 933.3¢
	Major 14-mosstep	M14ms	8L + 6s	933.3¢ to 960.0¢
15-mosstep	Minor 15-mosstep	m15ms	8L + 7s	960.0¢ to 1000.0¢
	Major 15-mosstep	M15ms	9L + 6s	1000.0¢ to 1080.0¢
16-mosstep	Diminished 16-mosstep	d16ms	8L + 8s	960.0¢ to 1066.7¢
	Perfect 16-mosstep	P16ms	9L + 7s	1066.7¢ to 1080.0¢
17-mosstep	Minor 17-mosstep	m17ms	9L + 8s	1080.0¢ to 1133.3¢
	Major 17-mosstep	M17ms	10L + 7s	1133.3¢ to 1200.0¢
18-mosstep	Perfect 18-mosstep	P18ms	10L + 8s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 10L 8s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
7\18						466.667	133.333	1:1	1.000	Equalized 10L 8s
					39\100	468.000	132.000	6:5	1.200
				32\82		468.293	131.707	5:4	1.250
					57\146	468.493	131.507	9:7	1.286
			25\64			468.750	131.250	4:3	1.333	Supersoft 10L 8s
					68\174	468.966	131.034	11:8	1.375
				43\110		469.091	130.909	7:5	1.400
					61\156	469.231	130.769	10:7	1.429
		18\46				469.565	130.435	3:2	1.500	Soft 10L 8s
					65\166	469.880	130.120	11:7	1.571
				47\120		470.000	130.000	8:5	1.600
					76\194	470.103	129.897	13:8	1.625
			29\74			470.270	129.730	5:3	1.667	Semisoft 10L 8s
					69\176	470.455	129.545	12:7	1.714
				40\102		470.588	129.412	7:4	1.750
					51\130	470.769	129.231	9:5	1.800
	11\28					471.429	128.571	2:1	2.000	Basic 10L 8s Scales with tunings softer than this are proper
					48\122	472.131	127.869	9:4	2.250
				37\94		472.340	127.660	7:3	2.333
					63\160	472.500	127.500	12:5	2.400
			26\66			472.727	127.273	5:2	2.500	Semihard 10L 8s
					67\170	472.941	127.059	13:5	2.600
				41\104		473.077	126.923	8:3	2.667
					56\142	473.239	126.761	11:4	2.750
		15\38				473.684	126.316	3:1	3.000	Hard 10L 8s
					49\124	474.194	125.806	10:3	3.333
				34\86		474.419	125.581	7:2	3.500
					53\134	474.627	125.373	11:3	3.667
			19\48			475.000	125.000	4:1	4.000	Superhard 10L 8s
					42\106	475.472	124.528	9:2	4.500
				23\58		475.862	124.138	5:1	5.000
					27\68	476.471	123.529	6:1	6.000
4\10						480.000	120.000	1:0	→ ∞	Collapsed 10L 8s

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