7L 14s

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

┌╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┐ │║││║││║││║││║││║││║│││ │││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
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
Descends from	7L 7s
Ancestor's step ratio range	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¢.

Modes

Modes of 7L 14s

UDP	Cyclic order	Step pattern
14|0(7)	1	LssLssLssLssLssLssLss
7|7(7)	3	sLssLssLssLssLssLssLs
0|14(7)	2	ssLssLssLssLssLssLssL

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¢

Scale tree

Scale Tree and Tuning Spectrum of 7L 14s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
2\21						114.286	57.143	1:1	1.000	Equalized 7L 14s
					11\112	117.857	53.571	6:5	1.200
				9\91		118.681	52.747	5:4	1.250
					16\161	119.255	52.174	9:7	1.286
			7\70			120.000	51.429	4:3	1.333	Supersoft 7L 14s
					19\189	120.635	50.794	11:8	1.375
				12\119		121.008	50.420	7:5	1.400
					17\168	121.429	50.000	10:7	1.429
		5\49				122.449	48.980	3:2	1.500	Soft 7L 14s
					18\175	123.429	48.000	11:7	1.571
				13\126		123.810	47.619	8:5	1.600
					21\203	124.138	47.291	13:8	1.625
			8\77			124.675	46.753	5:3	1.667	Semisoft 7L 14s
					19\182	125.275	46.154	12:7	1.714
				11\105		125.714	45.714	7:4	1.750
					14\133	126.316	45.113	9:5	1.800
	3\28					128.571	42.857	2:1	2.000	Basic 7L 14s Scales with tunings softer than this are proper
					13\119	131.092	40.336	9:4	2.250
				10\91		131.868	39.560	7:3	2.333
					17\154	132.468	38.961	12:5	2.400
			7\63			133.333	38.095	5:2	2.500	Semihard 7L 14s
					18\161	134.161	37.267	13:5	2.600
				11\98		134.694	36.735	8:3	2.667
					15\133	135.338	36.090	11:4	2.750
		4\35				137.143	34.286	3:1	3.000	Hard 7L 14s
					13\112	139.286	32.143	10:3	3.333
				9\77		140.260	31.169	7:2	3.500
					14\119	141.176	30.252	11:3	3.667
			5\42			142.857	28.571	4:1	4.000	Superhard 7L 14s
					11\91	145.055	26.374	9:2	4.500
				6\49		146.939	24.490	5:1	5.000
					7\56	150.000	21.429	6:1	6.000
1\7						171.429	0.000	1:0	→ ∞	Collapsed 7L 14s

This page is a stub. You can help the Xenharmonic Wiki by expanding it.