5L 18s

↖ 4L 17s	↑ 5L 17s	6L 17s ↗
← 4L 18s	5L 18s	6L 18s →
↙ 4L 19s	↓ 5L 19s	6L 19s ↘

Scale structure
Step pattern	LsssLssssLsssLssssLssss ssssLssssLsssLssssLsssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	9\23 to 2\5 (469.6 ¢ to 480.0 ¢)
Dark	3\5 to 14\23 (720.0 ¢ to 730.4 ¢)
TAMNAMS information
Related to	5L 3s (oneirotonic)
With tunings	4:1 to 1:0 (ultrahard)
Related MOS scales
Parent	5L 13s
Sister	18L 5s
Daughters	23L 5s, 5L 23s
Neutralized	10L 13s
2-Flought	28L 18s, 5L 41s
Equal tunings
Equalized (L:s = 1:1)	9\23 (469.6 ¢)
Supersoft (L:s = 4:3)	29\74 (470.3 ¢)
Soft (L:s = 3:2)	20\51 (470.6 ¢)
Semisoft (L:s = 5:3)	31\79 (470.9 ¢)
Basic (L:s = 2:1)	11\28 (471.4 ¢)
Semihard (L:s = 5:2)	24\61 (472.1 ¢)
Hard (L:s = 3:1)	13\33 (472.7 ¢)
Superhard (L:s = 4:1)	15\38 (473.7 ¢)
Collapsed (L:s = 1:0)	2\5 (480.0 ¢)
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5L 18s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 18 small steps, repeating every octave. 5L 18s is a great-grandchild scale of 5L 3s, expanding it by 15 tones. Generators that produce this scale range from 469.6 ¢ to 480 ¢, or from 720 ¢ to 730.4 ¢.

Modes

Modes of 5L 18s

UDP	Cyclic order	Step pattern
22|0	1	LsssLssssLsssLssssLssss
21|1	10	LsssLssssLssssLsssLssss
20|2	19	LssssLsssLssssLsssLssss
19|3	5	LssssLsssLssssLssssLsss
18|4	14	LssssLssssLsssLssssLsss
17|5	23	sLsssLssssLsssLssssLsss
16|6	9	sLsssLssssLssssLsssLsss
15|7	18	sLssssLsssLssssLsssLsss
14|8	4	sLssssLsssLssssLssssLss
13|9	13	sLssssLssssLsssLssssLss
12|10	22	ssLsssLssssLsssLssssLss
11|11	8	ssLsssLssssLssssLsssLss
10|12	17	ssLssssLsssLssssLsssLss
9|13	3	ssLssssLsssLssssLssssLs
8|14	12	ssLssssLssssLsssLssssLs
7|15	21	sssLsssLssssLsssLssssLs
6|16	7	sssLsssLssssLssssLsssLs
5|17	16	sssLssssLsssLssssLsssLs
4|18	2	sssLssssLsssLssssLssssL
3|19	11	sssLssssLssssLsssLssssL
2|20	20	ssssLsssLssssLsssLssssL
1|21	6	ssssLsssLssssLssssLsssL
0|22	15	ssssLssssLsssLssssLsssL

Intervals

Intervals of 5L 18s

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 52.2 ¢
	Major 1-mosstep	M1ms	L	52.2 ¢ to 240.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 104.3 ¢
	Major 2-mosstep	M2ms	L + s	104.3 ¢ to 240.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 156.5 ¢
	Major 3-mosstep	M3ms	L + 2s	156.5 ¢ to 240.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 208.7 ¢
	Major 4-mosstep	M4ms	L + 3s	208.7 ¢ to 240.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	L + 4s	240.0 ¢ to 260.9 ¢
	Major 5-mosstep	M5ms	2L + 3s	260.9 ¢ to 480.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	240.0 ¢ to 313.0 ¢
	Major 6-mosstep	M6ms	2L + 4s	313.0 ¢ to 480.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	L + 6s	240.0 ¢ to 365.2 ¢
	Major 7-mosstep	M7ms	2L + 5s	365.2 ¢ to 480.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	L + 7s	240.0 ¢ to 417.4 ¢
	Major 8-mosstep	M8ms	2L + 6s	417.4 ¢ to 480.0 ¢
9-mosstep	Diminished 9-mosstep	d9ms	L + 8s	240.0 ¢ to 469.6 ¢
	Perfect 9-mosstep	P9ms	2L + 7s	469.6 ¢ to 480.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	2L + 8s	480.0 ¢ to 521.7 ¢
	Major 10-mosstep	M10ms	3L + 7s	521.7 ¢ to 720.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	2L + 9s	480.0 ¢ to 573.9 ¢
	Major 11-mosstep	M11ms	3L + 8s	573.9 ¢ to 720.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	2L + 10s	480.0 ¢ to 626.1 ¢
	Major 12-mosstep	M12ms	3L + 9s	626.1 ¢ to 720.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	2L + 11s	480.0 ¢ to 678.3 ¢
	Major 13-mosstep	M13ms	3L + 10s	678.3 ¢ to 720.0 ¢
14-mosstep	Perfect 14-mosstep	P14ms	3L + 11s	720.0 ¢ to 730.4 ¢
	Augmented 14-mosstep	A14ms	4L + 10s	730.4 ¢ to 960.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	3L + 12s	720.0 ¢ to 782.6 ¢
	Major 15-mosstep	M15ms	4L + 11s	782.6 ¢ to 960.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	3L + 13s	720.0 ¢ to 834.8 ¢
	Major 16-mosstep	M16ms	4L + 12s	834.8 ¢ to 960.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	3L + 14s	720.0 ¢ to 887.0 ¢
	Major 17-mosstep	M17ms	4L + 13s	887.0 ¢ to 960.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	3L + 15s	720.0 ¢ to 939.1 ¢
	Major 18-mosstep	M18ms	4L + 14s	939.1 ¢ to 960.0 ¢
19-mosstep	Minor 19-mosstep	m19ms	4L + 15s	960.0 ¢ to 991.3 ¢
	Major 19-mosstep	M19ms	5L + 14s	991.3 ¢ to 1200.0 ¢
20-mosstep	Minor 20-mosstep	m20ms	4L + 16s	960.0 ¢ to 1043.5 ¢
	Major 20-mosstep	M20ms	5L + 15s	1043.5 ¢ to 1200.0 ¢
21-mosstep	Minor 21-mosstep	m21ms	4L + 17s	960.0 ¢ to 1095.7 ¢
	Major 21-mosstep	M21ms	5L + 16s	1095.7 ¢ to 1200.0 ¢
22-mosstep	Minor 22-mosstep	m22ms	4L + 18s	960.0 ¢ to 1147.8 ¢
	Major 22-mosstep	M22ms	5L + 17s	1147.8 ¢ to 1200.0 ¢
23-mosstep	Perfect 23-mosstep	P23ms	5L + 18s	1200.0 ¢

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum | 3/2 = Example comment | 4/3 = Another example comment }} The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 5L 18s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
9\23						469.565	730.435	1:1	1.000	Equalized 5L 18s
					47\120	470.000	730.000	6:5	1.200
				38\97		470.103	729.897	5:4	1.250
					67\171	470.175	729.825	9:7	1.286
			29\74			470.270	729.730	4:3	1.333	Supersoft 5L 18s
					78\199	470.352	729.648	11:8	1.375
				49\125		470.400	729.600	7:5	1.400
					69\176	470.455	729.545	10:7	1.429
		20\51				470.588	729.412	3:2	1.500	Soft 5L 18s
					71\181	470.718	729.282	11:7	1.571
				51\130		470.769	729.231	8:5	1.600
					82\209	470.813	729.187	13:8	1.625
			31\79			470.886	729.114	5:3	1.667	Semisoft 5L 18s
					73\186	470.968	729.032	12:7	1.714
				42\107		471.028	728.972	7:4	1.750
					53\135	471.111	728.889	9:5	1.800
	11\28					471.429	728.571	2:1	2.000	Basic 5L 18s Scales with tunings softer than this are proper
					46\117	471.795	728.205	9:4	2.250
				35\89		471.910	728.090	7:3	2.333
					59\150	472.000	728.000	12:5	2.400
			24\61			472.131	727.869	5:2	2.500	Semihard 5L 18s
					61\155	472.258	727.742	13:5	2.600
				37\94		472.340	727.660	8:3	2.667
					50\127	472.441	727.559	11:4	2.750
		13\33				472.727	727.273	3:1	3.000	Hard 5L 18s
					41\104	473.077	726.923	10:3	3.333
				28\71		473.239	726.761	7:2	3.500
					43\109	473.394	726.606	11:3	3.667
			15\38			473.684	726.316	4:1	4.000	Superhard 5L 18s
					32\81	474.074	725.926	9:2	4.500
				17\43		474.419	725.581	5:1	5.000
					19\48	475.000	725.000	6:1	6.000
2\5						480.000	720.000	1:0	→ ∞	Collapsed 5L 18s

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