14L 7s

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↖ 13L 6s ↑ 14L 6s 15L 6s ↗
← 13L 7s 14L 7s 15L 7s →
↙ 13L 8s ↓ 14L 8s 15L 8s ↘ 
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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
Descends from 7L 7s
Ancestor's step ratio range 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 ¢)

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.

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

Intervals

Intervals of 14L 7s
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0 ¢
1-mosstep Diminished 1-mosstep d1ms s 0.0 ¢ to 57.1 ¢
Perfect 1-mosstep P1ms L 57.1 ¢ to 85.7 ¢
2-mosstep Perfect 2-mosstep P2ms L + s 85.7 ¢ to 114.3 ¢
Augmented 2-mosstep A2ms 2L 114.3 ¢ to 171.4 ¢
3-mosstep Perfect 3-mosstep P3ms 2L + s 171.4 ¢
4-mosstep Diminished 4-mosstep d4ms 2L + 2s 171.4 ¢ to 228.6 ¢
Perfect 4-mosstep P4ms 3L + s 228.6 ¢ to 257.1 ¢
5-mosstep Perfect 5-mosstep P5ms 3L + 2s 257.1 ¢ to 285.7 ¢
Augmented 5-mosstep A5ms 4L + s 285.7 ¢ to 342.9 ¢
6-mosstep Perfect 6-mosstep P6ms 4L + 2s 342.9 ¢
7-mosstep Diminished 7-mosstep d7ms 4L + 3s 342.9 ¢ to 400.0 ¢
Perfect 7-mosstep P7ms 5L + 2s 400.0 ¢ to 428.6 ¢
8-mosstep Perfect 8-mosstep P8ms 5L + 3s 428.6 ¢ to 457.1 ¢
Augmented 8-mosstep A8ms 6L + 2s 457.1 ¢ to 514.3 ¢
9-mosstep Perfect 9-mosstep P9ms 6L + 3s 514.3 ¢
10-mosstep Diminished 10-mosstep d10ms 6L + 4s 514.3 ¢ to 571.4 ¢
Perfect 10-mosstep P10ms 7L + 3s 571.4 ¢ to 600.0 ¢
11-mosstep Perfect 11-mosstep P11ms 7L + 4s 600.0 ¢ to 628.6 ¢
Augmented 11-mosstep A11ms 8L + 3s 628.6 ¢ to 685.7 ¢
12-mosstep Perfect 12-mosstep P12ms 8L + 4s 685.7 ¢
13-mosstep Diminished 13-mosstep d13ms 8L + 5s 685.7 ¢ to 742.9 ¢
Perfect 13-mosstep P13ms 9L + 4s 742.9 ¢ to 771.4 ¢
14-mosstep Perfect 14-mosstep P14ms 9L + 5s 771.4 ¢ to 800.0 ¢
Augmented 14-mosstep A14ms 10L + 4s 800.0 ¢ to 857.1 ¢
15-mosstep Perfect 15-mosstep P15ms 10L + 5s 857.1 ¢
16-mosstep Diminished 16-mosstep d16ms 10L + 6s 857.1 ¢ to 914.3 ¢
Perfect 16-mosstep P16ms 11L + 5s 914.3 ¢ to 942.9 ¢
17-mosstep Perfect 17-mosstep P17ms 11L + 6s 942.9 ¢ to 971.4 ¢
Augmented 17-mosstep A17ms 12L + 5s 971.4 ¢ to 1028.6 ¢
18-mosstep Perfect 18-mosstep P18ms 12L + 6s 1028.6 ¢
19-mosstep Diminished 19-mosstep d19ms 12L + 7s 1028.6 ¢ to 1085.7 ¢
Perfect 19-mosstep P19ms 13L + 6s 1085.7 ¢ to 1114.3 ¢
20-mosstep Perfect 20-mosstep P20ms 13L + 7s 1114.3 ¢ to 1142.9 ¢
Augmented 20-mosstep A20ms 14L + 6s 1142.9 ¢ to 1200.0 ¢
21-mosstep Perfect 21-mosstep P21ms 14L + 7s 1200.0 ¢

Scale tree

Icon-Deprecated.png Scale tree is deprecated. Please use Template: MOS tuning spectrum instead.
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


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