5L 14s
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Scale structure
Step pattern
LssLsssLsssLsssLsss
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Step size ranges
Large
1\19 to 1\5 (63.2¢ to 240.0¢)
Small
0\5 to 1\19 (0.0¢ to 63.2¢)
Generator ranges
Bright
15\19 to 4\5 (947.4¢ to 960.0¢)
Dark
1\5 to 4\19 (240.0¢ to 252.6¢)
TAMNAMS information
Descends from
5L 4s (semiquartal)
Related scales
Parent
5L 9s
Sister
14L 5s
Daughters
19L 5s
5L 19s
Equal tunings
Equalized (L:s = 1:1)
15\19 (947.4¢)
Supersoft (L:s = 4:3)
49\62 (948.4¢)
Soft (L:s = 3:2)
34\43 (948.8¢)
Semisoft (L:s = 5:3)
53\67 (949.3¢)
Basic (L:s = 2:1)
19\24 (950.0¢)
Semihard (L:s = 5:2)
42\53 (950.9¢)
Hard (L:s = 3:1)
23\29 (951.7¢)
Superhard (L:s = 4:1)
27\34 (952.9¢)
Collapsed (L:s = 1:0)
4\5 (960.0¢)
| ↖4L 13s | ↑5L 13s | 6L 13s↗ |
| ←4L 14s | 5L 14s | 6L 14s→ |
| ↙4L 15s | ↓5L 15s | 6L 15s↘ |
5L 19s
5L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 14 small steps, repeating every octave. 5L 14s is a grandchild scale of 5L 4s, expanding it by 10 tones. Generators that produce this scale range from 947.4¢ to 960¢, or from 240¢ to 252.6¢.
Modes
| UDP | Rotational order | Step pattern |
|---|---|---|
| 18|0 | 1 | LssLsssLsssLsssLsss |
| 17|1 | 16 | LsssLssLsssLsssLsss |
| 16|2 | 12 | LsssLsssLssLsssLsss |
| 15|3 | 8 | LsssLsssLsssLssLsss |
| 14|4 | 4 | LsssLsssLsssLsssLss |
| 13|5 | 19 | sLssLsssLsssLsssLss |
| 12|6 | 15 | sLsssLssLsssLsssLss |
| 11|7 | 11 | sLsssLsssLssLsssLss |
| 10|8 | 7 | sLsssLsssLsssLssLss |
| 9|9 | 3 | sLsssLsssLsssLsssLs |
| 8|10 | 18 | ssLssLsssLsssLsssLs |
| 7|11 | 14 | ssLsssLssLsssLsssLs |
| 6|12 | 10 | ssLsssLsssLssLsssLs |
| 5|13 | 6 | ssLsssLsssLsssLssLs |
| 4|14 | 2 | ssLsssLsssLsssLsssL |
| 3|15 | 17 | sssLssLsssLsssLsssL |
| 2|16 | 13 | sssLsssLssLsssLsssL |
| 1|17 | 9 | sssLsssLsssLssLsssL |
| 0|18 | 5 | sssLsssLsssLsssLssL |
Scale tree
| Generator (in steps of edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 15\19 | 947.368 | 252.632 | 1:1 | 1.000 | Equalized 5L 14s | |||||
| 79\100 | 948.000 | 252.000 | 6:5 | 1.200 | ||||||
| 64\81 | 948.148 | 251.852 | 5:4 | 1.250 | ||||||
| 113\143 | 948.252 | 251.748 | 9:7 | 1.286 | ||||||
| 49\62 | 948.387 | 251.613 | 4:3 | 1.333 | Supersoft 5L 14s | |||||
| 132\167 | 948.503 | 251.497 | 11:8 | 1.375 | ||||||
| 83\105 | 948.571 | 251.429 | 7:5 | 1.400 | ||||||
| 117\148 | 948.649 | 251.351 | 10:7 | 1.429 | ||||||
| 34\43 | 948.837 | 251.163 | 3:2 | 1.500 | Soft 5L 14s | |||||
| 121\153 | 949.020 | 250.980 | 11:7 | 1.571 | ||||||
| 87\110 | 949.091 | 250.909 | 8:5 | 1.600 | ||||||
| 140\177 | 949.153 | 250.847 | 13:8 | 1.625 | ||||||
| 53\67 | 949.254 | 250.746 | 5:3 | 1.667 | Semisoft 5L 14s | |||||
| 125\158 | 949.367 | 250.633 | 12:7 | 1.714 | ||||||
| 72\91 | 949.451 | 250.549 | 7:4 | 1.750 | ||||||
| 91\115 | 949.565 | 250.435 | 9:5 | 1.800 | ||||||
| 19\24 | 950.000 | 250.000 | 2:1 | 2.000 | Basic 5L 14s Scales with tunings softer than this are proper | |||||
| 80\101 | 950.495 | 249.505 | 9:4 | 2.250 | ||||||
| 61\77 | 950.649 | 249.351 | 7:3 | 2.333 | ||||||
| 103\130 | 950.769 | 249.231 | 12:5 | 2.400 | ||||||
| 42\53 | 950.943 | 249.057 | 5:2 | 2.500 | Semihard 5L 14s | |||||
| 107\135 | 951.111 | 248.889 | 13:5 | 2.600 | ||||||
| 65\82 | 951.220 | 248.780 | 8:3 | 2.667 | ||||||
| 88\111 | 951.351 | 248.649 | 11:4 | 2.750 | ||||||
| 23\29 | 951.724 | 248.276 | 3:1 | 3.000 | Hard 5L 14s | |||||
| 73\92 | 952.174 | 247.826 | 10:3 | 3.333 | ||||||
| 50\63 | 952.381 | 247.619 | 7:2 | 3.500 | ||||||
| 77\97 | 952.577 | 247.423 | 11:3 | 3.667 | ||||||
| 27\34 | 952.941 | 247.059 | 4:1 | 4.000 | Superhard 5L 14s | |||||
| 58\73 | 953.425 | 246.575 | 9:2 | 4.500 | ||||||
| 31\39 | 953.846 | 246.154 | 5:1 | 5.000 | ||||||
| 35\44 | 954.545 | 245.455 | 6:1 | 6.000 | ||||||
| 4\5 | 960.000 | 240.000 | 1:0 | → ∞ | Collapsed 5L 14s | |||||
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