14L 7s

↖ 13L 6s	↑ 14L 6s	15L 6s ↗
← 13L 7s	14L 7s	15L 7s →
↙ 13L 8s	↓ 14L 8s	15L 8s ↘

┌╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬┐ │║║│║║│║║│║║│║║│║║│║║││ │││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLLsLLsLLsLLsLLsLLs sLLsLLsLLsLLsLLsLLsLL
Equave	2/1 (1200.0¢)
Period	1\7 (171.4¢)
Generator size
Bright	1\21 to 1\14 (57.1¢ to 85.7¢)
Dark	1\14 to 2\21 (85.7¢ to 114.3¢)
TAMNAMS information
Descends from	7L 7s
Ancestor's step ratio range	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	7L 7s
Sister	7L 14s
Daughters	21L 14s, 14L 21s
Neutralized	7L 14s
2-Flought	35L 7s, 14L 28s
Equal tunings
Equalized (L:s = 1:1)	1\21 (57.1¢)
Supersoft (L:s = 4:3)	4\77 (62.3¢)
Soft (L:s = 3:2)	3\56 (64.3¢)
Semisoft (L:s = 5:3)	5\91 (65.9¢)
Basic (L:s = 2:1)	2\35 (68.6¢)
Semihard (L:s = 5:2)	5\84 (71.4¢)
Hard (L:s = 3:1)	3\49 (73.5¢)
Superhard (L:s = 4:1)	4\63 (76.2¢)
Collapsed (L:s = 1:0)	1\14 (85.7¢)

14L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 14 large steps and 7 small steps, with a period of 2 large steps and 1 small step that repeats every 171.4¢, or 7 times every octave. 14L 7s is a child scale of 7L 7s, expanding it by 7 tones. Generators that produce this scale range from 57.1¢ to 85.7¢, or from 85.7¢ to 114.3¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

Modes

Modes of 14L 7s

UDP	Cyclic order	Step pattern
14|0(7)	1	LLsLLsLLsLLsLLsLLsLLs
7|7(7)	2	LsLLsLLsLLsLLsLLsLLsL
0|14(7)	3	sLLsLLsLLsLLsLLsLLsLL

Intervals

Intervals of 14L 7s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0¢
1-mosstep	Diminished 1-mosstep	d1ms	s	0.0¢ to 57.1¢
	Perfect 1-mosstep	P1ms	L	57.1¢ to 85.7¢
2-mosstep	Perfect 2-mosstep	P2ms	L + s	85.7¢ to 114.3¢
	Augmented 2-mosstep	A2ms	2L	114.3¢ to 171.4¢
3-mosstep	Perfect 3-mosstep	P3ms	2L + s	171.4¢
4-mosstep	Diminished 4-mosstep	d4ms	2L + 2s	171.4¢ to 228.6¢
	Perfect 4-mosstep	P4ms	3L + s	228.6¢ to 257.1¢
5-mosstep	Perfect 5-mosstep	P5ms	3L + 2s	257.1¢ to 285.7¢
	Augmented 5-mosstep	A5ms	4L + s	285.7¢ to 342.9¢
6-mosstep	Perfect 6-mosstep	P6ms	4L + 2s	342.9¢
7-mosstep	Diminished 7-mosstep	d7ms	4L + 3s	342.9¢ to 400.0¢
	Perfect 7-mosstep	P7ms	5L + 2s	400.0¢ to 428.6¢
8-mosstep	Perfect 8-mosstep	P8ms	5L + 3s	428.6¢ to 457.1¢
	Augmented 8-mosstep	A8ms	6L + 2s	457.1¢ to 514.3¢
9-mosstep	Perfect 9-mosstep	P9ms	6L + 3s	514.3¢
10-mosstep	Diminished 10-mosstep	d10ms	6L + 4s	514.3¢ to 571.4¢
	Perfect 10-mosstep	P10ms	7L + 3s	571.4¢ to 600.0¢
11-mosstep	Perfect 11-mosstep	P11ms	7L + 4s	600.0¢ to 628.6¢
	Augmented 11-mosstep	A11ms	8L + 3s	628.6¢ to 685.7¢
12-mosstep	Perfect 12-mosstep	P12ms	8L + 4s	685.7¢
13-mosstep	Diminished 13-mosstep	d13ms	8L + 5s	685.7¢ to 742.9¢
	Perfect 13-mosstep	P13ms	9L + 4s	742.9¢ to 771.4¢
14-mosstep	Perfect 14-mosstep	P14ms	9L + 5s	771.4¢ to 800.0¢
	Augmented 14-mosstep	A14ms	10L + 4s	800.0¢ to 857.1¢
15-mosstep	Perfect 15-mosstep	P15ms	10L + 5s	857.1¢
16-mosstep	Diminished 16-mosstep	d16ms	10L + 6s	857.1¢ to 914.3¢
	Perfect 16-mosstep	P16ms	11L + 5s	914.3¢ to 942.9¢
17-mosstep	Perfect 17-mosstep	P17ms	11L + 6s	942.9¢ to 971.4¢
	Augmented 17-mosstep	A17ms	12L + 5s	971.4¢ to 1028.6¢
18-mosstep	Perfect 18-mosstep	P18ms	12L + 6s	1028.6¢
19-mosstep	Diminished 19-mosstep	d19ms	12L + 7s	1028.6¢ to 1085.7¢
	Perfect 19-mosstep	P19ms	13L + 6s	1085.7¢ to 1114.3¢
20-mosstep	Perfect 20-mosstep	P20ms	13L + 7s	1114.3¢ to 1142.9¢
	Augmented 20-mosstep	A20ms	14L + 6s	1142.9¢ to 1200.0¢
21-mosstep	Perfect 21-mosstep	P21ms	14L + 7s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 14L 7s

Generator(edo)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\21						57.143	114.286	1:1	1.000	Equalized 14L 7s
					6\119	60.504	110.924	6:5	1.200
				5\98		61.224	110.204	5:4	1.250
					9\175	61.714	109.714	9:7	1.286
			4\77			62.338	109.091	4:3	1.333	Supersoft 14L 7s
					11\210	62.857	108.571	11:8	1.375
				7\133		63.158	108.271	7:5	1.400
					10\189	63.492	107.937	10:7	1.429
		3\56				64.286	107.143	3:2	1.500	Soft 14L 7s
					11\203	65.025	106.404	11:7	1.571
				8\147		65.306	106.122	8:5	1.600
					13\238	65.546	105.882	13:8	1.625
			5\91			65.934	105.495	5:3	1.667	Semisoft 14L 7s
					12\217	66.359	105.069	12:7	1.714
				7\126		66.667	104.762	7:4	1.750
					9\161	67.081	104.348	9:5	1.800
	2\35					68.571	102.857	2:1	2.000	Basic 14L 7s
					9\154	70.130	101.299	9:4	2.250
				7\119		70.588	100.840	7:3	2.333
					12\203	70.936	100.493	12:5	2.400
			5\84			71.429	100.000	5:2	2.500	Semihard 14L 7s
					13\217	71.889	99.539	13:5	2.600
				8\133		72.180	99.248	8:3	2.667
					11\182	72.527	98.901	11:4	2.750
		3\49				73.469	97.959	3:1	3.000	Hard 14L 7s
					10\161	74.534	96.894	10:3	3.333
				7\112		75.000	96.429	7:2	3.500
					11\175	75.429	96.000	11:3	3.667
			4\63			76.190	95.238	4:1	4.000	Superhard 14L 7s
					9\140	77.143	94.286	9:2	4.500
				5\77		77.922	93.506	5:1	5.000
					6\91	79.121	92.308	6:1	6.000
1\14						85.714	85.714	1:0	→ ∞	Collapsed 14L 7s

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