7L 7s

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

Scale structure
Step pattern	LsLsLsLsLsLsLs sLsLsLsLsLsLsL
Equave	2/1 (1200.0 ¢)
Period	1\7 (171.4 ¢)
Generator size
Bright	1\14 to 1\7 (85.7 ¢ to 171.4 ¢)
Dark	0\7 to 1\14 (0.0 ¢ to 85.7 ¢)
Related MOS scales
Parent	none
Sister	7L 7s (self)
Daughters	14L 7s, 7L 14s
Neutralized	14edo
2-Flought	21L 7s, 7L 21s
Equal tunings
Equalized (L:s = 1:1)	1\14 (85.7 ¢)
Supersoft (L:s = 4:3)	4\49 (98.0 ¢)
Soft (L:s = 3:2)	3\35 (102.9 ¢)
Semisoft (L:s = 5:3)	5\56 (107.1 ¢)
Basic (L:s = 2:1)	2\21 (114.3 ¢)
Semihard (L:s = 5:2)	5\49 (122.4 ¢)
Hard (L:s = 3:1)	3\28 (128.6 ¢)
Superhard (L:s = 4:1)	4\35 (137.1 ¢)
Collapsed (L:s = 1:0)	1\7 (171.4 ¢)
View • Talk • Edit

7L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 7 small steps, with a period of 1 large step and 1 small step that repeats every 171.4 ¢, or 7 times every octave. Generators that produce this scale range from 85.7 ¢ to 171.4 ¢, or from 0 ¢ to 85.7 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period. This scale appears as the whitewood chromatic scale.

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 7s

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 85.7 ¢
	Major 1-mosstep	M1ms	L	85.7 ¢ to 171.4 ¢
2-mosstep	Perfect 2-mosstep	P2ms	L + s	171.4 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	171.4 ¢ to 257.1 ¢
	Major 3-mosstep	M3ms	2L + s	257.1 ¢ to 342.9 ¢
4-mosstep	Perfect 4-mosstep	P4ms	2L + 2s	342.9 ¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	342.9 ¢ to 428.6 ¢
	Major 5-mosstep	M5ms	3L + 2s	428.6 ¢ to 514.3 ¢
6-mosstep	Perfect 6-mosstep	P6ms	3L + 3s	514.3 ¢
7-mosstep	Minor 7-mosstep	m7ms	3L + 4s	514.3 ¢ to 600.0 ¢
	Major 7-mosstep	M7ms	4L + 3s	600.0 ¢ to 685.7 ¢
8-mosstep	Perfect 8-mosstep	P8ms	4L + 4s	685.7 ¢
9-mosstep	Minor 9-mosstep	m9ms	4L + 5s	685.7 ¢ to 771.4 ¢
	Major 9-mosstep	M9ms	5L + 4s	771.4 ¢ to 857.1 ¢
10-mosstep	Perfect 10-mosstep	P10ms	5L + 5s	857.1 ¢
11-mosstep	Minor 11-mosstep	m11ms	5L + 6s	857.1 ¢ to 942.9 ¢
	Major 11-mosstep	M11ms	6L + 5s	942.9 ¢ to 1028.6 ¢
12-mosstep	Perfect 12-mosstep	P12ms	6L + 6s	1028.6 ¢
13-mosstep	Minor 13-mosstep	m13ms	6L + 7s	1028.6 ¢ to 1114.3 ¢
	Major 13-mosstep	M13ms	7L + 6s	1114.3 ¢ to 1200.0 ¢
14-mosstep	Perfect 14-mosstep	P14ms	7L + 7s	1200.0 ¢

Generator chain

Generator chain of 7L 7s

Bright gens	Scale degree	Abbrev.	Scale degree	Abbrev.	Scale degree	Abbrev.	Scale degree	Abbrev.	Scale degree	Abbrev.	Scale degree	Abbrev.	Scale degree	Abbrev.
2	Augmented 0-mosdegree	A0md	Augmented 2-mosdegree	A2md	Augmented 4-mosdegree	A4md	Augmented 6-mosdegree	A6md	Augmented 8-mosdegree	A8md	Augmented 10-mosdegree	A10md	Augmented 12-mosdegree	A12md
1	Major 1-mosdegree	M1md	Major 3-mosdegree	M3md	Major 5-mosdegree	M5md	Major 7-mosdegree	M7md	Major 9-mosdegree	M9md	Major 11-mosdegree	M11md	Major 13-mosdegree	M13md
0	Perfect 0-mosdegree Perfect 2-mosdegree	P0md P2md	Perfect 2-mosdegree Perfect 4-mosdegree	P2md P4md	Perfect 4-mosdegree Perfect 6-mosdegree	P4md P6md	Perfect 6-mosdegree Perfect 8-mosdegree	P6md P8md	Perfect 8-mosdegree Perfect 10-mosdegree	P8md P10md	Perfect 10-mosdegree Perfect 12-mosdegree	P10md P12md	Perfect 12-mosdegree Perfect 14-mosdegree	P12md P14md
−1	Minor 1-mosdegree	m1md	Minor 3-mosdegree	m3md	Minor 5-mosdegree	m5md	Minor 7-mosdegree	m7md	Minor 9-mosdegree	m9md	Minor 11-mosdegree	m11md	Minor 13-mosdegree	m13md
−2	Diminished 2-mosdegree	d2md	Diminished 4-mosdegree	d4md	Diminished 6-mosdegree	d6md	Diminished 8-mosdegree	d8md	Diminished 10-mosdegree	d10md	Diminished 12-mosdegree	d12md	Diminished 14-mosdegree	d14md

Modes

Scale degrees of the modes of 7L 7s

UDP	Cyclic order	Step pattern	Scale degree (mosdegree)
			0	1	2	3	4	5	6	7	8	9	10	11	12	13	14
7|0(7)	1	LsLsLsLsLsLsLs	Perf.	Maj.	Perf.	Maj.	Perf.	Maj.	Perf.	Maj.	Perf.	Maj.	Perf.	Maj.	Perf.	Maj.	Perf.
0|7(7)	2	sLsLsLsLsLsLsL	Perf.	Min.	Perf.	Min.	Perf.	Min.	Perf.	Min.	Perf.	Min.	Perf.	Min.	Perf.	Min.	Perf.

Scale tree

Scale tree and tuning spectrum of 7L 7s

Generator(edo)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\14						85.714	85.714	1:1	1.000	Equalized 7L 7s
					6\77	93.506	77.922	6:5	1.200
				5\63		95.238	76.190	5:4	1.250
					9\112	96.429	75.000	9:7	1.286
			4\49			97.959	73.469	4:3	1.333	Supersoft 7L 7s
					11\133	99.248	72.180	11:8	1.375
				7\84		100.000	71.429	7:5	1.400
					10\119	100.840	70.588	10:7	1.429
		3\35				102.857	68.571	3:2	1.500	Soft 7L 7s
					11\126	104.762	66.667	11:7	1.571
				8\91		105.495	65.934	8:5	1.600
					13\147	106.122	65.306	13:8	1.625
			5\56			107.143	64.286	5:3	1.667	Semisoft 7L 7s
					12\133	108.271	63.158	12:7	1.714
				7\77		109.091	62.338	7:4	1.750
					9\98	110.204	61.224	9:5	1.800
	2\21					114.286	57.143	2:1	2.000	Basic 7L 7s
					9\91	118.681	52.747	9:4	2.250
				7\70		120.000	51.429	7:3	2.333
					12\119	121.008	50.420	12:5	2.400
			5\49			122.449	48.980	5:2	2.500	Semihard 7L 7s
					13\126	123.810	47.619	13:5	2.600
				8\77		124.675	46.753	8:3	2.667
					11\105	125.714	45.714	11:4	2.750
		3\28				128.571	42.857	3:1	3.000	Hard 7L 7s
					10\91	131.868	39.560	10:3	3.333
				7\63		133.333	38.095	7:2	3.500
					11\98	134.694	36.735	11:3	3.667
			4\35			137.143	34.286	4:1	4.000	Superhard 7L 7s
					9\77	140.260	31.169	9:2	4.500
				5\42		142.857	28.571	5:1	5.000
					6\49	146.939	24.490	6:1	6.000
1\7						171.429	0.000	1:0	→ ∞	Collapsed 7L 7s

See also

• 7L 7s in 140edo

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