14L 7s

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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

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