14L 5s

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

┌╥╥╥┬╥╥╥┬╥╥╥┬╥╥╥┬╥╥┬┐ │║║║│║║║│║║║│║║║│║║││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLsLLLsLLLsLLLsLLs sLLsLLLsLLLsLLLsLLL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	4\19 to 3\14 (252.6¢ to 257.1¢)
Dark	11\14 to 15\19 (942.9¢ to 947.4¢)
TAMNAMS information
Descends from	5L 4s (semiquartal)
Ancestor's step ratio range	2:1 to 3:1 (hypohard)
Related MOS scales
Parent	5L 9s
Sister	5L 14s
Daughters	19L 14s, 14L 19s
Neutralized	9L 10s
2-Flought	33L 5s, 14L 24s
Equal tunings
Equalized (L:s = 1:1)	4\19 (252.6¢)
Supersoft (L:s = 4:3)	15\71 (253.5¢)
Soft (L:s = 3:2)	11\52 (253.8¢)
Semisoft (L:s = 5:3)	18\85 (254.1¢)
Basic (L:s = 2:1)	7\33 (254.5¢)
Semihard (L:s = 5:2)	17\80 (255.0¢)
Hard (L:s = 3:1)	10\47 (255.3¢)
Superhard (L:s = 4:1)	13\61 (255.7¢)
Collapsed (L:s = 1:0)	3\14 (257.1¢)

14L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 14 large steps and 5 small steps, repeating every octave. 14L 5s is a grandchild scale of 5L 4s, expanding it by 10 tones. Generators that produce this scale range from 252.6¢ to 257.1¢, or from 942.9¢ to 947.4¢.

Modes

Modes of 14L 5s

UDP	Cyclic order	Step pattern
18|0	1	LLLsLLLsLLLsLLLsLLs
17|1	5	LLLsLLLsLLLsLLsLLLs
16|2	9	LLLsLLLsLLsLLLsLLLs
15|3	13	LLLsLLsLLLsLLLsLLLs
14|4	17	LLsLLLsLLLsLLLsLLLs
13|5	2	LLsLLLsLLLsLLLsLLsL
12|6	6	LLsLLLsLLLsLLsLLLsL
11|7	10	LLsLLLsLLsLLLsLLLsL
10|8	14	LLsLLsLLLsLLLsLLLsL
9|9	18	LsLLLsLLLsLLLsLLLsL
8|10	3	LsLLLsLLLsLLLsLLsLL
7|11	7	LsLLLsLLLsLLsLLLsLL
6|12	11	LsLLLsLLsLLLsLLLsLL
5|13	15	LsLLsLLLsLLLsLLLsLL
4|14	19	sLLLsLLLsLLLsLLLsLL
3|15	4	sLLLsLLLsLLLsLLsLLL
2|16	8	sLLLsLLLsLLsLLLsLLL
1|17	12	sLLLsLLsLLLsLLLsLLL
0|18	16	sLLsLLLsLLLsLLLsLLL

Intervals

Intervals of 14L 5s

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 85.7¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	85.7¢ to 126.3¢
	Major 2-mosstep	M2ms	2L	126.3¢ to 171.4¢
3-mosstep	Minor 3-mosstep	m3ms	2L + s	171.4¢ to 189.5¢
	Major 3-mosstep	M3ms	3L	189.5¢ to 257.1¢
4-mosstep	Diminished 4-mosstep	d4ms	2L + 2s	171.4¢ to 252.6¢
	Perfect 4-mosstep	P4ms	3L + s	252.6¢ to 257.1¢
5-mosstep	Minor 5-mosstep	m5ms	3L + 2s	257.1¢ to 315.8¢
	Major 5-mosstep	M5ms	4L + s	315.8¢ to 342.9¢
6-mosstep	Minor 6-mosstep	m6ms	4L + 2s	342.9¢ to 378.9¢
	Major 6-mosstep	M6ms	5L + s	378.9¢ to 428.6¢
7-mosstep	Minor 7-mosstep	m7ms	5L + 2s	428.6¢ to 442.1¢
	Major 7-mosstep	M7ms	6L + s	442.1¢ to 514.3¢
8-mosstep	Minor 8-mosstep	m8ms	5L + 3s	428.6¢ to 505.3¢
	Major 8-mosstep	M8ms	6L + 2s	505.3¢ to 514.3¢
9-mosstep	Minor 9-mosstep	m9ms	6L + 3s	514.3¢ to 568.4¢
	Major 9-mosstep	M9ms	7L + 2s	568.4¢ to 600.0¢
10-mosstep	Minor 10-mosstep	m10ms	7L + 3s	600.0¢ to 631.6¢
	Major 10-mosstep	M10ms	8L + 2s	631.6¢ to 685.7¢
11-mosstep	Minor 11-mosstep	m11ms	8L + 3s	685.7¢ to 694.7¢
	Major 11-mosstep	M11ms	9L + 2s	694.7¢ to 771.4¢
12-mosstep	Minor 12-mosstep	m12ms	8L + 4s	685.7¢ to 757.9¢
	Major 12-mosstep	M12ms	9L + 3s	757.9¢ to 771.4¢
13-mosstep	Minor 13-mosstep	m13ms	9L + 4s	771.4¢ to 821.1¢
	Major 13-mosstep	M13ms	10L + 3s	821.1¢ to 857.1¢
14-mosstep	Minor 14-mosstep	m14ms	10L + 4s	857.1¢ to 884.2¢
	Major 14-mosstep	M14ms	11L + 3s	884.2¢ to 942.9¢
15-mosstep	Perfect 15-mosstep	P15ms	11L + 4s	942.9¢ to 947.4¢
	Augmented 15-mosstep	A15ms	12L + 3s	947.4¢ to 1028.6¢
16-mosstep	Minor 16-mosstep	m16ms	11L + 5s	942.9¢ to 1010.5¢
	Major 16-mosstep	M16ms	12L + 4s	1010.5¢ to 1028.6¢
17-mosstep	Minor 17-mosstep	m17ms	12L + 5s	1028.6¢ to 1073.7¢
	Major 17-mosstep	M17ms	13L + 4s	1073.7¢ to 1114.3¢
18-mosstep	Minor 18-mosstep	m18ms	13L + 5s	1114.3¢ to 1136.8¢
	Major 18-mosstep	M18ms	14L + 4s	1136.8¢ to 1200.0¢
19-mosstep	Perfect 19-mosstep	P19ms	14L + 5s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 14L 5s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
4\19						252.632	947.368	1:1	1.000	Equalized 14L 5s
					23\109	253.211	946.789	6:5	1.200
				19\90		253.333	946.667	5:4	1.250
					34\161	253.416	946.584	9:7	1.286
			15\71			253.521	946.479	4:3	1.333	Supersoft 14L 5s
					41\194	253.608	946.392	11:8	1.375
				26\123		253.659	946.341	7:5	1.400
					37\175	253.714	946.286	10:7	1.429
		11\52				253.846	946.154	3:2	1.500	Soft 14L 5s
					40\189	253.968	946.032	11:7	1.571
				29\137		254.015	945.985	8:5	1.600
					47\222	254.054	945.946	13:8	1.625
			18\85			254.118	945.882	5:3	1.667	Semisoft 14L 5s
					43\203	254.187	945.813	12:7	1.714
				25\118		254.237	945.763	7:4	1.750
					32\151	254.305	945.695	9:5	1.800
	7\33					254.545	945.455	2:1	2.000	Basic 14L 5s Scales with tunings softer than this are proper
					31\146	254.795	945.205	9:4	2.250
				24\113		254.867	945.133	7:3	2.333
					41\193	254.922	945.078	12:5	2.400
			17\80			255.000	945.000	5:2	2.500	Semihard 14L 5s
					44\207	255.072	944.928	13:5	2.600
				27\127		255.118	944.882	8:3	2.667
					37\174	255.172	944.828	11:4	2.750
		10\47				255.319	944.681	3:1	3.000	Hard 14L 5s
					33\155	255.484	944.516	10:3	3.333
				23\108		255.556	944.444	7:2	3.500
					36\169	255.621	944.379	11:3	3.667
			13\61			255.738	944.262	4:1	4.000	Superhard 14L 5s
					29\136	255.882	944.118	9:2	4.500
				16\75		256.000	944.000	5:1	5.000
					19\89	256.180	943.820	6:1	6.000
3\14						257.143	942.857	1:0	→ ∞	Collapsed 14L 5s

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