14L 5s
Jump to navigation
Jump to search
Scale structure
Step pattern
LLLsLLLsLLLsLLLsLLs
sLLsLLLsLLLsLLLsLLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
4\19 to 3\14 (252.6¢ to 257.1¢)
Dark
11\14 to 15\19 (942.9¢ to 947.4¢)
TAMNAMS information
Descends from
5L 4s (semiquartal)
Ancestor's step ratio range
2:1 to 3:1 (hypohard)
Related MOS scales
Parent
5L 9s
Sister
5L 14s
Daughters
19L 14s, 14L 19s
Neutralized
9L 10s
2-Flought
33L 5s, 14L 24s
Equal tunings
Equalized (L:s = 1:1)
4\19 (252.6¢)
Supersoft (L:s = 4:3)
15\71 (253.5¢)
Soft (L:s = 3:2)
11\52 (253.8¢)
Semisoft (L:s = 5:3)
18\85 (254.1¢)
Basic (L:s = 2:1)
7\33 (254.5¢)
Semihard (L:s = 5:2)
17\80 (255.0¢)
Hard (L:s = 3:1)
10\47 (255.3¢)
Superhard (L:s = 4:1)
13\61 (255.7¢)
Collapsed (L:s = 1:0)
3\14 (257.1¢)
| ↖ 13L 4s | ↑ 14L 4s | 15L 4s ↗ |
| ← 13L 5s | 14L 5s | 15L 5s → |
| ↙ 13L 6s | ↓ 14L 6s | 15L 6s ↘ |
┌╥╥╥┬╥╥╥┬╥╥╥┬╥╥╥┬╥╥┬┐ │║║║│║║║│║║║│║║║│║║││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLsLLLsLLLsLLLsLLL
14L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 14 large steps and 5 small steps, repeating every octave. 14L 5s is a grandchild scale of 5L 4s, expanding it by 10 tones. Generators that produce this scale range from 252.6¢ to 257.1¢, or from 942.9¢ to 947.4¢.
Modes
| UDP | Cyclic Order |
Step Pattern |
|---|---|---|
| 18|0 | 1 | LLLsLLLsLLLsLLLsLLs |
| 17|1 | 5 | LLLsLLLsLLLsLLsLLLs |
| 16|2 | 9 | LLLsLLLsLLsLLLsLLLs |
| 15|3 | 13 | LLLsLLsLLLsLLLsLLLs |
| 14|4 | 17 | LLsLLLsLLLsLLLsLLLs |
| 13|5 | 2 | LLsLLLsLLLsLLLsLLsL |
| 12|6 | 6 | LLsLLLsLLLsLLsLLLsL |
| 11|7 | 10 | LLsLLLsLLsLLLsLLLsL |
| 10|8 | 14 | LLsLLsLLLsLLLsLLLsL |
| 9|9 | 18 | LsLLLsLLLsLLLsLLLsL |
| 8|10 | 3 | LsLLLsLLLsLLLsLLsLL |
| 7|11 | 7 | LsLLLsLLLsLLsLLLsLL |
| 6|12 | 11 | LsLLLsLLsLLLsLLLsLL |
| 5|13 | 15 | LsLLsLLLsLLLsLLLsLL |
| 4|14 | 19 | sLLLsLLLsLLLsLLLsLL |
| 3|15 | 4 | sLLLsLLLsLLLsLLsLLL |
| 2|16 | 8 | sLLLsLLLsLLsLLLsLLL |
| 1|17 | 12 | sLLLsLLsLLLsLLLsLLL |
| 0|18 | 16 | sLLsLLLsLLLsLLLsLLL |
Scale tree
| Generator(edo) | Cents | Step Ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 4\19 | 252.632 | 947.368 | 1:1 | 1.000 | Equalized 14L 5s | |||||
| 23\109 | 253.211 | 946.789 | 6:5 | 1.200 | ||||||
| 19\90 | 253.333 | 946.667 | 5:4 | 1.250 | ||||||
| 34\161 | 253.416 | 946.584 | 9:7 | 1.286 | ||||||
| 15\71 | 253.521 | 946.479 | 4:3 | 1.333 | Supersoft 14L 5s | |||||
| 41\194 | 253.608 | 946.392 | 11:8 | 1.375 | ||||||
| 26\123 | 253.659 | 946.341 | 7:5 | 1.400 | ||||||
| 37\175 | 253.714 | 946.286 | 10:7 | 1.429 | ||||||
| 11\52 | 253.846 | 946.154 | 3:2 | 1.500 | Soft 14L 5s | |||||
| 40\189 | 253.968 | 946.032 | 11:7 | 1.571 | ||||||
| 29\137 | 254.015 | 945.985 | 8:5 | 1.600 | ||||||
| 47\222 | 254.054 | 945.946 | 13:8 | 1.625 | ||||||
| 18\85 | 254.118 | 945.882 | 5:3 | 1.667 | Semisoft 14L 5s | |||||
| 43\203 | 254.187 | 945.813 | 12:7 | 1.714 | ||||||
| 25\118 | 254.237 | 945.763 | 7:4 | 1.750 | ||||||
| 32\151 | 254.305 | 945.695 | 9:5 | 1.800 | ||||||
| 7\33 | 254.545 | 945.455 | 2:1 | 2.000 | Basic 14L 5s Scales with tunings softer than this are proper | |||||
| 31\146 | 254.795 | 945.205 | 9:4 | 2.250 | ||||||
| 24\113 | 254.867 | 945.133 | 7:3 | 2.333 | ||||||
| 41\193 | 254.922 | 945.078 | 12:5 | 2.400 | ||||||
| 17\80 | 255.000 | 945.000 | 5:2 | 2.500 | Semihard 14L 5s | |||||
| 44\207 | 255.072 | 944.928 | 13:5 | 2.600 | ||||||
| 27\127 | 255.118 | 944.882 | 8:3 | 2.667 | ||||||
| 37\174 | 255.172 | 944.828 | 11:4 | 2.750 | ||||||
| 10\47 | 255.319 | 944.681 | 3:1 | 3.000 | Hard 14L 5s | |||||
| 33\155 | 255.484 | 944.516 | 10:3 | 3.333 | ||||||
| 23\108 | 255.556 | 944.444 | 7:2 | 3.500 | ||||||
| 36\169 | 255.621 | 944.379 | 11:3 | 3.667 | ||||||
| 13\61 | 255.738 | 944.262 | 4:1 | 4.000 | Superhard 14L 5s | |||||
| 29\136 | 255.882 | 944.118 | 9:2 | 4.500 | ||||||
| 16\75 | 256.000 | 944.000 | 5:1 | 5.000 | ||||||
| 19\89 | 256.180 | 943.820 | 6:1 | 6.000 | ||||||
| 3\14 | 257.143 | 942.857 | 1:0 | → ∞ | Collapsed 14L 5s | |||||