1L 17s
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Scale structure
Step pattern
Lsssssssssssssssss
sssssssssssssssssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
17\18 to 1\1 (1133.3¢ to 1200.0¢)
Dark
0\1 to 1\18 (0.0¢ to 66.7¢)
TAMNAMS information
Descends from
1L 9s (antisinatonic)
Ancestor's step ratio range
9:1 to 1:0
Related MOS scales
Parent
1L 16s
Sister
17L 1s
Daughters
18L 1s, 1L 18s
Neutralized
2L 16s
2-Flought
19L 17s, 1L 35s
Equal tunings
Equalized (L:s = 1:1)
17\18 (1133.3¢)
Supersoft (L:s = 4:3)
52\55 (1134.5¢)
Soft (L:s = 3:2)
35\37 (1135.1¢)
Semisoft (L:s = 5:3)
53\56 (1135.7¢)
Basic (L:s = 2:1)
18\19 (1136.8¢)
Semihard (L:s = 5:2)
37\39 (1138.5¢)
Hard (L:s = 3:1)
19\20 (1140.0¢)
Superhard (L:s = 4:1)
20\21 (1142.9¢)
Collapsed (L:s = 1:0)
1\1 (1200.0¢)
| ↑ 1L 16s | 2L 16s ↗ | |
| 1L 17s | 2L 17s → | |
| ↓ 1L 18s | 2L 18s ↘ |
┌╥┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┐ │║││││││││││││││││││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssssssssssssssssL
1L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 17 small steps, repeating every octave. 1L 17s is related to 1L 9s, expanding it by 8 tones. Generators that produce this scale range from 1133.3¢ to 1200¢, or from 0¢ to 66.7¢.
Modes
| UDP | Cyclic Order |
Step Pattern |
|---|---|---|
| 17|0 | 1 | Lsssssssssssssssss |
| 16|1 | 18 | sLssssssssssssssss |
| 15|2 | 17 | ssLsssssssssssssss |
| 14|3 | 16 | sssLssssssssssssss |
| 13|4 | 15 | ssssLsssssssssssss |
| 12|5 | 14 | sssssLssssssssssss |
| 11|6 | 13 | ssssssLsssssssssss |
| 10|7 | 12 | sssssssLssssssssss |
| 9|8 | 11 | ssssssssLsssssssss |
| 8|9 | 10 | sssssssssLssssssss |
| 7|10 | 9 | ssssssssssLsssssss |
| 6|11 | 8 | sssssssssssLssssss |
| 5|12 | 7 | ssssssssssssLsssss |
| 4|13 | 6 | sssssssssssssLssss |
| 3|14 | 5 | ssssssssssssssLsss |
| 2|15 | 4 | sssssssssssssssLss |
| 1|16 | 3 | ssssssssssssssssLs |
| 0|17 | 2 | sssssssssssssssssL |
Scale tree
| Generator(edo) | Cents | Step Ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 17\18 | 1133.333 | 66.667 | 1:1 | 1.000 | Equalized 1L 17s | |||||
| 86\91 | 1134.066 | 65.934 | 6:5 | 1.200 | ||||||
| 69\73 | 1134.247 | 65.753 | 5:4 | 1.250 | ||||||
| 121\128 | 1134.375 | 65.625 | 9:7 | 1.286 | ||||||
| 52\55 | 1134.545 | 65.455 | 4:3 | 1.333 | Supersoft 1L 17s | |||||
| 139\147 | 1134.694 | 65.306 | 11:8 | 1.375 | ||||||
| 87\92 | 1134.783 | 65.217 | 7:5 | 1.400 | ||||||
| 122\129 | 1134.884 | 65.116 | 10:7 | 1.429 | ||||||
| 35\37 | 1135.135 | 64.865 | 3:2 | 1.500 | Soft 1L 17s | |||||
| 123\130 | 1135.385 | 64.615 | 11:7 | 1.571 | ||||||
| 88\93 | 1135.484 | 64.516 | 8:5 | 1.600 | ||||||
| 141\149 | 1135.570 | 64.430 | 13:8 | 1.625 | ||||||
| 53\56 | 1135.714 | 64.286 | 5:3 | 1.667 | Semisoft 1L 17s | |||||
| 124\131 | 1135.878 | 64.122 | 12:7 | 1.714 | ||||||
| 71\75 | 1136.000 | 64.000 | 7:4 | 1.750 | ||||||
| 89\94 | 1136.170 | 63.830 | 9:5 | 1.800 | ||||||
| 18\19 | 1136.842 | 63.158 | 2:1 | 2.000 | Basic 1L 17s Scales with tunings softer than this are proper | |||||
| 73\77 | 1137.662 | 62.338 | 9:4 | 2.250 | ||||||
| 55\58 | 1137.931 | 62.069 | 7:3 | 2.333 | ||||||
| 92\97 | 1138.144 | 61.856 | 12:5 | 2.400 | ||||||
| 37\39 | 1138.462 | 61.538 | 5:2 | 2.500 | Semihard 1L 17s | |||||
| 93\98 | 1138.776 | 61.224 | 13:5 | 2.600 | ||||||
| 56\59 | 1138.983 | 61.017 | 8:3 | 2.667 | ||||||
| 75\79 | 1139.241 | 60.759 | 11:4 | 2.750 | ||||||
| 19\20 | 1140.000 | 60.000 | 3:1 | 3.000 | Hard 1L 17s | |||||
| 58\61 | 1140.984 | 59.016 | 10:3 | 3.333 | ||||||
| 39\41 | 1141.463 | 58.537 | 7:2 | 3.500 | ||||||
| 59\62 | 1141.935 | 58.065 | 11:3 | 3.667 | ||||||
| 20\21 | 1142.857 | 57.143 | 4:1 | 4.000 | Superhard 1L 17s | |||||
| 41\43 | 1144.186 | 55.814 | 9:2 | 4.500 | ||||||
| 21\22 | 1145.455 | 54.545 | 5:1 | 5.000 | ||||||
| 22\23 | 1147.826 | 52.174 | 6:1 | 6.000 | ||||||
| 1\1 | 1200.000 | 0.000 | 1:0 | → ∞ | Collapsed 1L 17s | |||||