14L 13s
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Scale structure
Step pattern
LLsLsLsLsLsLsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsLsLsLsLsLsLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
25\27 to 13\14 (1111.1¢ to 1114.3¢)
Dark
1\14 to 2\27 (85.7¢ to 88.9¢)
TAMNAMS information
Descends from
1L 9s (antisinatonic)
Ancestor's step ratio range
9:2 to 5:1
Related MOS scales
Parent
13L 1s
Sister
13L 14s
Daughters
27L 14s, 14L 27s
Neutralized
1L 26s
2-Flought
41L 13s, 14L 40s
Equal tunings
Equalized (L:s = 1:1)
25\27 (1111.1¢)
Supersoft (L:s = 4:3)
88\95 (1111.6¢)
Soft (L:s = 3:2)
63\68 (1111.8¢)
Semisoft (L:s = 5:3)
101\109 (1111.9¢)
Basic (L:s = 2:1)
38\41 (1112.2¢)
Semihard (L:s = 5:2)
89\96 (1112.5¢)
Hard (L:s = 3:1)
51\55 (1112.7¢)
Superhard (L:s = 4:1)
64\69 (1113.0¢)
Collapsed (L:s = 1:0)
13\14 (1114.3¢)
| ↖ 13L 12s | ↑ 14L 12s | 15L 12s ↗ |
| ← 13L 13s | 14L 13s | 15L 13s → |
| ↙ 13L 14s | ↓ 14L 14s | 15L 14s ↘ |
┌╥╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║│║│║│║│║│║│║│║│║││ │││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLsLsLsLsLsLsLsLsLsLsLsLL
14L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 14 large steps and 13 small steps, repeating every octave. 14L 13s is related to 1L 9s, expanding it by 17 tones. Generators that produce this scale range from 1111.1¢ to 1114.3¢, or from 85.7¢ to 88.9¢. The harmonic entropy minimum for this scale has +8 dark generators equal 3/2, which is approximately 41edo.
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 25\27 | 1111.111 | 88.889 | 1:1 | 1.000 | Equalized 14L 13s | |||||
| 138\149 | 1111.409 | 88.591 | 6:5 | 1.200 | ||||||
| 113\122 | 1111.475 | 88.525 | 5:4 | 1.250 | ||||||
| 201\217 | 1111.521 | 88.479 | 9:7 | 1.286 | ||||||
| 88\95 | 1111.579 | 88.421 | 4:3 | 1.333 | Supersoft 14L 13s | |||||
| 239\258 | 1111.628 | 88.372 | 11:8 | 1.375 | ||||||
| 151\163 | 1111.656 | 88.344 | 7:5 | 1.400 | ||||||
| 214\231 | 1111.688 | 88.312 | 10:7 | 1.429 | ||||||
| 63\68 | 1111.765 | 88.235 | 3:2 | 1.500 | Soft 14L 13s | |||||
| 227\245 | 1111.837 | 88.163 | 11:7 | 1.571 | ||||||
| 164\177 | 1111.864 | 88.136 | 8:5 | 1.600 | ||||||
| 265\286 | 1111.888 | 88.112 | 13:8 | 1.625 | ||||||
| 101\109 | 1111.927 | 88.073 | 5:3 | 1.667 | Semisoft 14L 13s | |||||
| 240\259 | 1111.969 | 88.031 | 12:7 | 1.714 | ||||||
| 139\150 | 1112.000 | 88.000 | 7:4 | 1.750 | ||||||
| 177\191 | 1112.042 | 87.958 | 9:5 | 1.800 | ||||||
| 38\41 | 1112.195 | 87.805 | 2:1 | 2.000 | Basic 14L 13s Scales with tunings softer than this are proper | |||||
| 165\178 | 1112.360 | 87.640 | 9:4 | 2.250 | ||||||
| 127\137 | 1112.409 | 87.591 | 7:3 | 2.333 | ||||||
| 216\233 | 1112.446 | 87.554 | 12:5 | 2.400 | ||||||
| 89\96 | 1112.500 | 87.500 | 5:2 | 2.500 | Semihard 14L 13s | |||||
| 229\247 | 1112.551 | 87.449 | 13:5 | 2.600 | ||||||
| 140\151 | 1112.583 | 87.417 | 8:3 | 2.667 | ||||||
| 191\206 | 1112.621 | 87.379 | 11:4 | 2.750 | ||||||
| 51\55 | 1112.727 | 87.273 | 3:1 | 3.000 | Hard 14L 13s | |||||
| 166\179 | 1112.849 | 87.151 | 10:3 | 3.333 | ||||||
| 115\124 | 1112.903 | 87.097 | 7:2 | 3.500 | ||||||
| 179\193 | 1112.953 | 87.047 | 11:3 | 3.667 | ||||||
| 64\69 | 1113.043 | 86.957 | 4:1 | 4.000 | Superhard 14L 13s | |||||
| 141\152 | 1113.158 | 86.842 | 9:2 | 4.500 | ||||||
| 77\83 | 1113.253 | 86.747 | 5:1 | 5.000 | ||||||
| 90\97 | 1113.402 | 86.598 | 6:1 | 6.000 | ||||||
| 13\14 | 1114.286 | 85.714 | 1:0 | → ∞ | Collapsed 14L 13s | |||||