14L 7s
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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¢)
| ↖ 13L 6s | ↑ 14L 6s | 15L 6s ↗ |
| ← 13L 7s | 14L 7s | 15L 7s → |
| ↙ 13L 8s | ↓ 14L 8s | 15L 8s ↘ |
┌╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬┐ │║║│║║│║║│║║│║║│║║│║║││ │││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLsLLsLLsLLsLLsLLsLL
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
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 14|0(7) | 1 | LLsLLsLLsLLsLLsLLsLLs |
| 7|7(7) | 2 | LsLLsLLsLLsLLsLLsLLsL |
| 0|14(7) | 3 | sLLsLLsLLsLLsLLsLLsLL |
Scale tree
| 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 | |||||