7L 14s

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↖ 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
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

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