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 (semiquartal)
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

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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