8L 14s
Jump to navigation
Jump to search
Scale structure
Step pattern
LsLssLssLssLsLssLssLss
ssLssLssLsLssLssLssLsL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Generator size
Bright
8\22 to 3\8 (436.4¢ to 450.0¢)
Dark
1\8 to 3\22 (150.0¢ to 163.6¢)
TAMNAMS information
Descends from
6L 2s (ekic)
Ancestor's step ratio range
1:1 to 3:2 (soft)
Related MOS scales
Parent
8L 6s
Sister
14L 8s
Daughters
22L 8s, 8L 22s
Neutralized
16L 6s
2-Flought
30L 14s, 8L 36s
Equal tunings
Equalized (L:s = 1:1)
8\22 (436.4¢)
Supersoft (L:s = 4:3)
27\74 (437.8¢)
Soft (L:s = 3:2)
19\52 (438.5¢)
Semisoft (L:s = 5:3)
30\82 (439.0¢)
Basic (L:s = 2:1)
11\30 (440.0¢)
Semihard (L:s = 5:2)
25\68 (441.2¢)
Hard (L:s = 3:1)
14\38 (442.1¢)
Superhard (L:s = 4:1)
17\46 (443.5¢)
Collapsed (L:s = 1:0)
3\8 (450.0¢)
| ↖ 7L 13s | ↑ 8L 13s | 9L 13s ↗ |
| ← 7L 14s | 8L 14s | 9L 14s → |
| ↙ 7L 15s | ↓ 8L 15s | 9L 15s ↘ |
┌╥┬╥┬┬╥┬┬╥┬┬╥┬╥┬┬╥┬┬╥┬┬┐ │║│║││║││║││║│║││║││║│││ ││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLssLssLsLssLssLssLsL
8L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 14 small steps, with a period of 4 large steps and 7 small steps that repeats every 600.0¢, or twice every octave. 8L 14s is a grandchild scale of 6L 2s, expanding it by 14 tones. Generators that produce this scale range from 436.4¢ to 450¢, or from 150¢ to 163.6¢.
Modes
| UDP | Cyclic Order |
Step Pattern |
|---|---|---|
| 20|0(2) | 1 | LsLssLssLssLsLssLssLss |
| 18|2(2) | 9 | LssLsLssLssLssLsLssLss |
| 16|4(2) | 6 | LssLssLsLssLssLssLsLss |
| 14|6(2) | 3 | LssLssLssLsLssLssLssLs |
| 12|8(2) | 11 | sLsLssLssLssLsLssLssLs |
| 10|10(2) | 8 | sLssLsLssLssLssLsLssLs |
| 8|12(2) | 5 | sLssLssLsLssLssLssLsLs |
| 6|14(2) | 2 | sLssLssLssLsLssLssLssL |
| 4|16(2) | 10 | ssLsLssLssLssLsLssLssL |
| 2|18(2) | 7 | ssLssLsLssLssLssLsLssL |
| 0|20(2) | 4 | ssLssLssLsLssLssLssLsL |
Scale tree
| Generator(edo) | Cents | Step Ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 8\22 | 436.364 | 163.636 | 1:1 | 1.000 | Equalized 8L 14s | |||||
| 43\118 | 437.288 | 162.712 | 6:5 | 1.200 | ||||||
| 35\96 | 437.500 | 162.500 | 5:4 | 1.250 | ||||||
| 62\170 | 437.647 | 162.353 | 9:7 | 1.286 | ||||||
| 27\74 | 437.838 | 162.162 | 4:3 | 1.333 | Supersoft 8L 14s | |||||
| 73\200 | 438.000 | 162.000 | 11:8 | 1.375 | ||||||
| 46\126 | 438.095 | 161.905 | 7:5 | 1.400 | ||||||
| 65\178 | 438.202 | 161.798 | 10:7 | 1.429 | ||||||
| 19\52 | 438.462 | 161.538 | 3:2 | 1.500 | Soft 8L 14s | |||||
| 68\186 | 438.710 | 161.290 | 11:7 | 1.571 | ||||||
| 49\134 | 438.806 | 161.194 | 8:5 | 1.600 | ||||||
| 79\216 | 438.889 | 161.111 | 13:8 | 1.625 | ||||||
| 30\82 | 439.024 | 160.976 | 5:3 | 1.667 | Semisoft 8L 14s | |||||
| 71\194 | 439.175 | 160.825 | 12:7 | 1.714 | ||||||
| 41\112 | 439.286 | 160.714 | 7:4 | 1.750 | ||||||
| 52\142 | 439.437 | 160.563 | 9:5 | 1.800 | ||||||
| 11\30 | 440.000 | 160.000 | 2:1 | 2.000 | Basic 8L 14s Scales with tunings softer than this are proper | |||||
| 47\128 | 440.625 | 159.375 | 9:4 | 2.250 | ||||||
| 36\98 | 440.816 | 159.184 | 7:3 | 2.333 | ||||||
| 61\166 | 440.964 | 159.036 | 12:5 | 2.400 | ||||||
| 25\68 | 441.176 | 158.824 | 5:2 | 2.500 | Semihard 8L 14s | |||||
| 64\174 | 441.379 | 158.621 | 13:5 | 2.600 | ||||||
| 39\106 | 441.509 | 158.491 | 8:3 | 2.667 | ||||||
| 53\144 | 441.667 | 158.333 | 11:4 | 2.750 | ||||||
| 14\38 | 442.105 | 157.895 | 3:1 | 3.000 | Hard 8L 14s | |||||
| 45\122 | 442.623 | 157.377 | 10:3 | 3.333 | ||||||
| 31\84 | 442.857 | 157.143 | 7:2 | 3.500 | ||||||
| 48\130 | 443.077 | 156.923 | 11:3 | 3.667 | ||||||
| 17\46 | 443.478 | 156.522 | 4:1 | 4.000 | Superhard 8L 14s | |||||
| 37\100 | 444.000 | 156.000 | 9:2 | 4.500 | ||||||
| 20\54 | 444.444 | 155.556 | 5:1 | 5.000 | ||||||
| 23\62 | 445.161 | 154.839 | 6:1 | 6.000 | ||||||
| 3\8 | 450.000 | 150.000 | 1:0 | → ∞ | Collapsed 8L 14s | |||||