3L 14s
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Scale structure
Step pattern
LssssLsssssLsssss
sssssLsssssLssssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
11\17 to 2\3 (776.5¢ to 800.0¢)
Dark
1\3 to 6\17 (400.0¢ to 423.5¢)
TAMNAMS information
Descends from
3L 5s (checkertonic)
Ancestor's step ratio range
4:1 to 1:0 (ultrahard)
Related MOS scales
Parent
3L 11s
Sister
14L 3s
Daughters
17L 3s, 3L 17s
Neutralized
6L 11s
2-Flought
20L 14s, 3L 31s
Equal tunings
Equalized (L:s = 1:1)
11\17 (776.5¢)
Supersoft (L:s = 4:3)
35\54 (777.8¢)
Soft (L:s = 3:2)
24\37 (778.4¢)
Semisoft (L:s = 5:3)
37\57 (778.9¢)
Basic (L:s = 2:1)
13\20 (780.0¢)
Semihard (L:s = 5:2)
28\43 (781.4¢)
Hard (L:s = 3:1)
15\23 (782.6¢)
Superhard (L:s = 4:1)
17\26 (784.6¢)
Collapsed (L:s = 1:0)
2\3 (800.0¢)
| ↖ 2L 13s | ↑ 3L 13s | 4L 13s ↗ |
| ← 2L 14s | 3L 14s | 4L 14s → |
| ↙ 2L 15s | ↓ 3L 15s | 4L 15s ↘ |
┌╥┬┬┬┬╥┬┬┬┬┬╥┬┬┬┬┬┐ │║││││║│││││║││││││ │││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssssLsssssLssssL
3L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 14 small steps, repeating every octave. 3L 14s is a great-grandchild scale of 3L 5s, expanding it by 9 tones. Generators that produce this scale range from 776.5¢ to 800¢, or from 400¢ to 423.5¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 16|0 | 1 | LssssLsssssLsssss |
| 15|1 | 12 | LsssssLssssLsssss |
| 14|2 | 6 | LsssssLsssssLssss |
| 13|3 | 17 | sLssssLsssssLssss |
| 12|4 | 11 | sLsssssLssssLssss |
| 11|5 | 5 | sLsssssLsssssLsss |
| 10|6 | 16 | ssLssssLsssssLsss |
| 9|7 | 10 | ssLsssssLssssLsss |
| 8|8 | 4 | ssLsssssLsssssLss |
| 7|9 | 15 | sssLssssLsssssLss |
| 6|10 | 9 | sssLsssssLssssLss |
| 5|11 | 3 | sssLsssssLsssssLs |
| 4|12 | 14 | ssssLssssLsssssLs |
| 3|13 | 8 | ssssLsssssLssssLs |
| 2|14 | 2 | ssssLsssssLsssssL |
| 1|15 | 13 | sssssLssssLsssssL |
| 0|16 | 7 | sssssLsssssLssssL |
Tuning spectrum
 |
Todo: review Review entries from past page revision and enter them into the scale tree. |
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 11\17 | 776.471 | 423.529 | 1:1 | 1.000 | Equalized 3L 14s | |||||
| 57\88 | 777.273 | 422.727 | 6:5 | 1.200 | ||||||
| 46\71 | 777.465 | 422.535 | 5:4 | 1.250 | ||||||
| 81\125 | 777.600 | 422.400 | 9:7 | 1.286 | ||||||
| 35\54 | 777.778 | 422.222 | 4:3 | 1.333 | Supersoft 3L 14s | |||||
| 94\145 | 777.931 | 422.069 | 11:8 | 1.375 | ||||||
| 59\91 | 778.022 | 421.978 | 7:5 | 1.400 | ||||||
| 83\128 | 778.125 | 421.875 | 10:7 | 1.429 | ||||||
| 24\37 | 778.378 | 421.622 | 3:2 | 1.500 | Soft 3L 14s | |||||
| 85\131 | 778.626 | 421.374 | 11:7 | 1.571 | ||||||
| 61\94 | 778.723 | 421.277 | 8:5 | 1.600 | ||||||
| 98\151 | 778.808 | 421.192 | 13:8 | 1.625 | ||||||
| 37\57 | 778.947 | 421.053 | 5:3 | 1.667 | Semisoft 3L 14s | |||||
| 87\134 | 779.104 | 420.896 | 12:7 | 1.714 | ||||||
| 50\77 | 779.221 | 420.779 | 7:4 | 1.750 | ||||||
| 63\97 | 779.381 | 420.619 | 9:5 | 1.800 | ||||||
| 13\20 | 780.000 | 420.000 | 2:1 | 2.000 | Basic 3L 14s Scales with tunings softer than this are proper | |||||
| 54\83 | 780.723 | 419.277 | 9:4 | 2.250 | ||||||
| 41\63 | 780.952 | 419.048 | 7:3 | 2.333 | ||||||
| 69\106 | 781.132 | 418.868 | 12:5 | 2.400 | ||||||
| 28\43 | 781.395 | 418.605 | 5:2 | 2.500 | Semihard 3L 14s | |||||
| 71\109 | 781.651 | 418.349 | 13:5 | 2.600 | ||||||
| 43\66 | 781.818 | 418.182 | 8:3 | 2.667 | ||||||
| 58\89 | 782.022 | 417.978 | 11:4 | 2.750 | ||||||
| 15\23 | 782.609 | 417.391 | 3:1 | 3.000 | Hard 3L 14s | |||||
| 47\72 | 783.333 | 416.667 | 10:3 | 3.333 | ||||||
| 32\49 | 783.673 | 416.327 | 7:2 | 3.500 | ||||||
| 49\75 | 784.000 | 416.000 | 11:3 | 3.667 | ||||||
| 17\26 | 784.615 | 415.385 | 4:1 | 4.000 | Superhard 3L 14s | |||||
| 36\55 | 785.455 | 414.545 | 9:2 | 4.500 | ||||||
| 19\29 | 786.207 | 413.793 | 5:1 | 5.000 | ||||||
| 21\32 | 787.500 | 412.500 | 6:1 | 6.000 | ||||||
| 2\3 | 800.000 | 400.000 | 1:0 | → ∞ | Collapsed 3L 14s | |||||