5L 14s

↖ 4L 13s	↑ 5L 13s	6L 13s ↗
← 4L 14s	5L 14s	6L 14s →
↙ 4L 15s	↓ 5L 15s	6L 15s ↘

┌╥┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬┐ │║││║│││║│││║│││║││││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssLsssLsssLsssLsss sssLsssLsssLsssLssL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	15\19 to 4\5 (947.4¢ to 960.0¢)
Dark	1\5 to 4\19 (240.0¢ to 252.6¢)
TAMNAMS information
Descends from	5L 4s
Ancestor's step ratio range	3:1 to 1:0 (hard)
Related MOS scales
Parent	5L 9s
Sister	14L 5s
Daughters	19L 5s, 5L 19s
Neutralized	10L 9s
2-Flought	24L 14s, 5L 33s
Equal tunings
Equalized (L:s = 1:1)	15\19 (947.4¢)
Supersoft (L:s = 4:3)	49\62 (948.4¢)
Soft (L:s = 3:2)	34\43 (948.8¢)
Semisoft (L:s = 5:3)	53\67 (949.3¢)
Basic (L:s = 2:1)	19\24 (950.0¢)
Semihard (L:s = 5:2)	42\53 (950.9¢)
Hard (L:s = 3:1)	23\29 (951.7¢)
Superhard (L:s = 4:1)	27\34 (952.9¢)
Collapsed (L:s = 1:0)	4\5 (960.0¢)

5L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 14 small steps, repeating every octave. 5L 14s is a grandchild scale of 5L 4s, expanding it by 10 tones. Generators that produce this scale range from 947.4 ¢ to 960 ¢, or from 240 ¢ to 252.6 ¢.

Modes

Modes of 5L 14s

UDP	Cyclic order	Step pattern
18|0	1	LssLsssLsssLsssLsss
17|1	16	LsssLssLsssLsssLsss
16|2	12	LsssLsssLssLsssLsss
15|3	8	LsssLsssLsssLssLsss
14|4	4	LsssLsssLsssLsssLss
13|5	19	sLssLsssLsssLsssLss
12|6	15	sLsssLssLsssLsssLss
11|7	11	sLsssLsssLssLsssLss
10|8	7	sLsssLsssLsssLssLss
9|9	3	sLsssLsssLsssLsssLs
8|10	18	ssLssLsssLsssLsssLs
7|11	14	ssLsssLssLsssLsssLs
6|12	10	ssLsssLsssLssLsssLs
5|13	6	ssLsssLsssLsssLssLs
4|14	2	ssLsssLsssLsssLsssL
3|15	17	sssLssLsssLsssLsssL
2|16	13	sssLsssLssLsssLsssL
1|17	9	sssLsssLsssLssLsssL
0|18	5	sssLsssLsssLsssLssL

Intervals

Intervals of 5L 14s

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 63.2 ¢
	Major 1-mosstep	M1ms	L	63.2 ¢ to 240.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 126.3 ¢
	Major 2-mosstep	M2ms	L + s	126.3 ¢ to 240.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 189.5 ¢
	Major 3-mosstep	M3ms	L + 2s	189.5 ¢ to 240.0 ¢
4-mosstep	Perfect 4-mosstep	P4ms	L + 3s	240.0 ¢ to 252.6 ¢
	Augmented 4-mosstep	A4ms	2L + 2s	252.6 ¢ to 480.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	L + 4s	240.0 ¢ to 315.8 ¢
	Major 5-mosstep	M5ms	2L + 3s	315.8 ¢ to 480.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	240.0 ¢ to 378.9 ¢
	Major 6-mosstep	M6ms	2L + 4s	378.9 ¢ to 480.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	L + 6s	240.0 ¢ to 442.1 ¢
	Major 7-mosstep	M7ms	2L + 5s	442.1 ¢ to 480.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	2L + 6s	480.0 ¢ to 505.3 ¢
	Major 8-mosstep	M8ms	3L + 5s	505.3 ¢ to 720.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	2L + 7s	480.0 ¢ to 568.4 ¢
	Major 9-mosstep	M9ms	3L + 6s	568.4 ¢ to 720.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	2L + 8s	480.0 ¢ to 631.6 ¢
	Major 10-mosstep	M10ms	3L + 7s	631.6 ¢ to 720.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	2L + 9s	480.0 ¢ to 694.7 ¢
	Major 11-mosstep	M11ms	3L + 8s	694.7 ¢ to 720.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	3L + 9s	720.0 ¢ to 757.9 ¢
	Major 12-mosstep	M12ms	4L + 8s	757.9 ¢ to 960.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	3L + 10s	720.0 ¢ to 821.1 ¢
	Major 13-mosstep	M13ms	4L + 9s	821.1 ¢ to 960.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	3L + 11s	720.0 ¢ to 884.2 ¢
	Major 14-mosstep	M14ms	4L + 10s	884.2 ¢ to 960.0 ¢
15-mosstep	Diminished 15-mosstep	d15ms	3L + 12s	720.0 ¢ to 947.4 ¢
	Perfect 15-mosstep	P15ms	4L + 11s	947.4 ¢ to 960.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	4L + 12s	960.0 ¢ to 1010.5 ¢
	Major 16-mosstep	M16ms	5L + 11s	1010.5 ¢ to 1200.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	4L + 13s	960.0 ¢ to 1073.7 ¢
	Major 17-mosstep	M17ms	5L + 12s	1073.7 ¢ to 1200.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	4L + 14s	960.0 ¢ to 1136.8 ¢
	Major 18-mosstep	M18ms	5L + 13s	1136.8 ¢ to 1200.0 ¢
19-mosstep	Perfect 19-mosstep	P19ms	5L + 14s	1200.0¢

Scale tree

Scale tree and tuning spectrum of 5L 14s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
15\19						947.368	252.632	1:1	1.000	Equalized 5L 14s
					79\100	948.000	252.000	6:5	1.200
				64\81		948.148	251.852	5:4	1.250
					113\143	948.252	251.748	9:7	1.286
			49\62			948.387	251.613	4:3	1.333	Supersoft 5L 14s
					132\167	948.503	251.497	11:8	1.375
				83\105		948.571	251.429	7:5	1.400
					117\148	948.649	251.351	10:7	1.429
		34\43				948.837	251.163	3:2	1.500	Soft 5L 14s
					121\153	949.020	250.980	11:7	1.571
				87\110		949.091	250.909	8:5	1.600
					140\177	949.153	250.847	13:8	1.625
			53\67			949.254	250.746	5:3	1.667	Semisoft 5L 14s
					125\158	949.367	250.633	12:7	1.714
				72\91		949.451	250.549	7:4	1.750
					91\115	949.565	250.435	9:5	1.800
	19\24					950.000	250.000	2:1	2.000	Basic 5L 14s Scales with tunings softer than this are proper
					80\101	950.495	249.505	9:4	2.250
				61\77		950.649	249.351	7:3	2.333
					103\130	950.769	249.231	12:5	2.400
			42\53			950.943	249.057	5:2	2.500	Semihard 5L 14s
					107\135	951.111	248.889	13:5	2.600
				65\82		951.220	248.780	8:3	2.667
					88\111	951.351	248.649	11:4	2.750
		23\29				951.724	248.276	3:1	3.000	Hard 5L 14s
					73\92	952.174	247.826	10:3	3.333
				50\63		952.381	247.619	7:2	3.500
					77\97	952.577	247.423	11:3	3.667
			27\34			952.941	247.059	4:1	4.000	Superhard 5L 14s
					58\73	953.425	246.575	9:2	4.500
				31\39		953.846	246.154	5:1	5.000
					35\44	954.545	245.455	6:1	6.000
4\5						960.000	240.000	1:0	→ ∞	Collapsed 5L 14s

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