7L 14s

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

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Scale structure
Step pattern	LssLssLssLssLssLssLss ssLssLssLssLssLssLssL
Equave	2/1 (1200.0 ¢)
Period	1\7 (171.4 ¢)
Generator size
Bright	2\21 to 1\7 (114.3 ¢ to 171.4 ¢)
Dark	0\7 to 1\21 (0.0 ¢ to 57.1 ¢)
TAMNAMS information
Related to	7L 7s
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	7L 7s
Sister	14L 7s
Daughters	21L 7s, 7L 21s
Neutralized	14L 7s
2-Flought	28L 14s, 7L 35s
Equal tunings
Equalized (L:s = 1:1)	2\21 (114.3 ¢)
Supersoft (L:s = 4:3)	7\70 (120.0 ¢)
Soft (L:s = 3:2)	5\49 (122.4 ¢)
Semisoft (L:s = 5:3)	8\77 (124.7 ¢)
Basic (L:s = 2:1)	3\28 (128.6 ¢)
Semihard (L:s = 5:2)	7\63 (133.3 ¢)
Hard (L:s = 3:1)	4\35 (137.1 ¢)
Superhard (L:s = 4:1)	5\42 (142.9 ¢)
Collapsed (L:s = 1:0)	1\7 (171.4 ¢)

7L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 14 small steps, with a period of 1 large step and 2 small steps that repeats every 171.4 ¢, or 7 times every octave. 7L 14s is a child scale of 7L 7s, expanding it by 7 tones. Generators that produce this scale range from 114.3 ¢ to 171.4 ¢, or from 0 ¢ to 57.1 ¢.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

Intervals

Intervals of 7L 14s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Perfect 1-mosstep	P1ms	s	0.0 ¢ to 57.1 ¢
	Augmented 1-mosstep	A1ms	L	57.1 ¢ to 171.4 ¢
2-mosstep	Diminished 2-mosstep	d2ms	2s	0.0 ¢ to 114.3 ¢
	Perfect 2-mosstep	P2ms	L + s	114.3 ¢ to 171.4 ¢
3-mosstep	Perfect 3-mosstep	P3ms	L + 2s	171.4 ¢
4-mosstep	Perfect 4-mosstep	P4ms	L + 3s	171.4 ¢ to 228.6 ¢
	Augmented 4-mosstep	A4ms	2L + 2s	228.6 ¢ to 342.9 ¢
5-mosstep	Diminished 5-mosstep	d5ms	L + 4s	171.4 ¢ to 285.7 ¢
	Perfect 5-mosstep	P5ms	2L + 3s	285.7 ¢ to 342.9 ¢
6-mosstep	Perfect 6-mosstep	P6ms	2L + 4s	342.9 ¢
7-mosstep	Perfect 7-mosstep	P7ms	2L + 5s	342.9 ¢ to 400.0 ¢
	Augmented 7-mosstep	A7ms	3L + 4s	400.0 ¢ to 514.3 ¢
8-mosstep	Diminished 8-mosstep	d8ms	2L + 6s	342.9 ¢ to 457.1 ¢
	Perfect 8-mosstep	P8ms	3L + 5s	457.1 ¢ to 514.3 ¢
9-mosstep	Perfect 9-mosstep	P9ms	3L + 6s	514.3 ¢
10-mosstep	Perfect 10-mosstep	P10ms	3L + 7s	514.3 ¢ to 571.4 ¢
	Augmented 10-mosstep	A10ms	4L + 6s	571.4 ¢ to 685.7 ¢
11-mosstep	Diminished 11-mosstep	d11ms	3L + 8s	514.3 ¢ to 628.6 ¢
	Perfect 11-mosstep	P11ms	4L + 7s	628.6 ¢ to 685.7 ¢
12-mosstep	Perfect 12-mosstep	P12ms	4L + 8s	685.7 ¢
13-mosstep	Perfect 13-mosstep	P13ms	4L + 9s	685.7 ¢ to 742.9 ¢
	Augmented 13-mosstep	A13ms	5L + 8s	742.9 ¢ to 857.1 ¢
14-mosstep	Diminished 14-mosstep	d14ms	4L + 10s	685.7 ¢ to 800.0 ¢
	Perfect 14-mosstep	P14ms	5L + 9s	800.0 ¢ to 857.1 ¢
15-mosstep	Perfect 15-mosstep	P15ms	5L + 10s	857.1 ¢
16-mosstep	Perfect 16-mosstep	P16ms	5L + 11s	857.1 ¢ to 914.3 ¢
	Augmented 16-mosstep	A16ms	6L + 10s	914.3 ¢ to 1028.6 ¢
17-mosstep	Diminished 17-mosstep	d17ms	5L + 12s	857.1 ¢ to 971.4 ¢
	Perfect 17-mosstep	P17ms	6L + 11s	971.4 ¢ to 1028.6 ¢
18-mosstep	Perfect 18-mosstep	P18ms	6L + 12s	1028.6 ¢
19-mosstep	Perfect 19-mosstep	P19ms	6L + 13s	1028.6 ¢ to 1085.7 ¢
	Augmented 19-mosstep	A19ms	7L + 12s	1085.7 ¢ to 1200.0 ¢
20-mosstep	Diminished 20-mosstep	d20ms	6L + 14s	1028.6 ¢ to 1142.9 ¢
	Perfect 20-mosstep	P20ms	7L + 13s	1142.9 ¢ to 1200.0 ¢
21-mosstep	Perfect 21-mosstep	P21ms	7L + 14s	1200.0 ¢

Generator chain

Generator chain of 7L 14s

Bright gens	Scale degree	Abbrev.	Scale degree	Abbrev.	Scale degree	Abbrev.	Scale degree	Abbrev.	Scale degree	Abbrev.	Scale degree	Abbrev.	Scale degree	Abbrev.
3	Augmented 0-mosdegree	A0md	Augmented 3-mosdegree	A3md	Augmented 6-mosdegree	A6md	Augmented 9-mosdegree	A9md	Augmented 12-mosdegree	A12md	Augmented 15-mosdegree	A15md	Augmented 18-mosdegree	A18md
2	Augmented 1-mosdegree	A1md	Augmented 4-mosdegree	A4md	Augmented 7-mosdegree	A7md	Augmented 10-mosdegree	A10md	Augmented 13-mosdegree	A13md	Augmented 16-mosdegree	A16md	Augmented 19-mosdegree	A19md
1	Perfect 2-mosdegree	P2md	Perfect 5-mosdegree	P5md	Perfect 8-mosdegree	P8md	Perfect 11-mosdegree	P11md	Perfect 14-mosdegree	P14md	Perfect 17-mosdegree	P17md	Perfect 20-mosdegree	P20md
0	Perfect 0-mosdegree Perfect 3-mosdegree	P0md P3md	Perfect 3-mosdegree Perfect 6-mosdegree	P3md P6md	Perfect 6-mosdegree Perfect 9-mosdegree	P6md P9md	Perfect 9-mosdegree Perfect 12-mosdegree	P9md P12md	Perfect 12-mosdegree Perfect 15-mosdegree	P12md P15md	Perfect 15-mosdegree Perfect 18-mosdegree	P15md P18md	Perfect 18-mosdegree Perfect 21-mosdegree	P18md P21md
−1	Perfect 1-mosdegree	P1md	Perfect 4-mosdegree	P4md	Perfect 7-mosdegree	P7md	Perfect 10-mosdegree	P10md	Perfect 13-mosdegree	P13md	Perfect 16-mosdegree	P16md	Perfect 19-mosdegree	P19md
−2	Diminished 2-mosdegree	d2md	Diminished 5-mosdegree	d5md	Diminished 8-mosdegree	d8md	Diminished 11-mosdegree	d11md	Diminished 14-mosdegree	d14md	Diminished 17-mosdegree	d17md	Diminished 20-mosdegree	d20md
−3	Diminished 3-mosdegree	d3md	Diminished 6-mosdegree	d6md	Diminished 9-mosdegree	d9md	Diminished 12-mosdegree	d12md	Diminished 15-mosdegree	d15md	Diminished 18-mosdegree	d18md	Diminished 21-mosdegree	d21md

Modes

Scale degrees of the modes of 7L 14s

UDP	Cyclic order	Step pattern	Scale degree (mosdegree)
			0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21
14|0(7)	1	LssLssLssLssLssLssLss	Perf.	Aug.	Perf.	Perf.	Aug.	Perf.	Perf.	Aug.	Perf.	Perf.	Aug.	Perf.	Perf.	Aug.	Perf.	Perf.	Aug.	Perf.	Perf.	Aug.	Perf.	Perf.
7|7(7)	3	sLssLssLssLssLssLssLs	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.
0|14(7)	2	ssLssLssLssLssLssLssL	Perf.	Perf.	Dim.	Perf.	Perf.	Dim.	Perf.	Perf.	Dim.	Perf.	Perf.	Dim.	Perf.	Perf.	Dim.	Perf.	Perf.	Dim.	Perf.	Perf.	Dim.	Perf.

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