14L 7s

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.

↖ 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
Related to	7L 7s
With tunings	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 ¢)
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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

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 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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