17L 1s
Jump to navigation
Jump to search
Scale structure
Step pattern
LLLLLLLLLLLLLLLLLs
sLLLLLLLLLLLLLLLLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
1\18 to 1\17 (66.7¢ to 70.6¢)
Dark
16\17 to 17\18 (1129.4¢ to 1133.3¢)
TAMNAMS information
Descends from
1L 9s (antisinatonic)
Ancestor's step ratio range
8:1 to 9:1
Related MOS scales
Parent
1L 16s
Sister
1L 17s
Daughters
18L 17s, 17L 18s
Neutralized
16L 2s
2-Flought
35L 1s, 17L 19s
Equal tunings
Equalized (L:s = 1:1)
1\18 (66.7¢)
Supersoft (L:s = 4:3)
4\71 (67.6¢)
Soft (L:s = 3:2)
3\53 (67.9¢)
Semisoft (L:s = 5:3)
5\88 (68.2¢)
Basic (L:s = 2:1)
2\35 (68.6¢)
Semihard (L:s = 5:2)
5\87 (69.0¢)
Hard (L:s = 3:1)
3\52 (69.2¢)
Superhard (L:s = 4:1)
4\69 (69.6¢)
Collapsed (L:s = 1:0)
1\17 (70.6¢)
| ← 16L 1s | 17L 1s | 18L 1s → |
| ↙ 16L 2s | ↓ 17L 2s | 18L 2s ↘ |
┌╥╥╥╥╥╥╥╥╥╥╥╥╥╥╥╥╥┬┐ │║║║║║║║║║║║║║║║║║││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLLLLLLLLLLLLLLLL
17L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 1 small step, repeating every octave. 17L 1s is related to 1L 9s, expanding it by 8 tones. Generators that produce this scale range from 66.7¢ to 70.6¢, or from 1129.4¢ to 1133.3¢. Scales of this form are always proper because there is only one small step.
Modes
| UDP | Cyclic Order |
Step Pattern |
|---|---|---|
| 17|0 | 1 | LLLLLLLLLLLLLLLLLs |
| 16|1 | 2 | LLLLLLLLLLLLLLLLsL |
| 15|2 | 3 | LLLLLLLLLLLLLLLsLL |
| 14|3 | 4 | LLLLLLLLLLLLLLsLLL |
| 13|4 | 5 | LLLLLLLLLLLLLsLLLL |
| 12|5 | 6 | LLLLLLLLLLLLsLLLLL |
| 11|6 | 7 | LLLLLLLLLLLsLLLLLL |
| 10|7 | 8 | LLLLLLLLLLsLLLLLLL |
| 9|8 | 9 | LLLLLLLLLsLLLLLLLL |
| 8|9 | 10 | LLLLLLLLsLLLLLLLLL |
| 7|10 | 11 | LLLLLLLsLLLLLLLLLL |
| 6|11 | 12 | LLLLLLsLLLLLLLLLLL |
| 5|12 | 13 | LLLLLsLLLLLLLLLLLL |
| 4|13 | 14 | LLLLsLLLLLLLLLLLLL |
| 3|14 | 15 | LLLsLLLLLLLLLLLLLL |
| 2|15 | 16 | LLsLLLLLLLLLLLLLLL |
| 1|16 | 17 | LsLLLLLLLLLLLLLLLL |
| 0|17 | 18 | sLLLLLLLLLLLLLLLLL |
Scale tree
| Generator(edo) | Cents | Step Ratio | Comments(always proper) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 1\18 | 66.667 | 1133.333 | 1:1 | 1.000 | Equalized 17L 1s | |||||
| 6\107 | 67.290 | 1132.710 | 6:5 | 1.200 | ||||||
| 5\89 | 67.416 | 1132.584 | 5:4 | 1.250 | ||||||
| 9\160 | 67.500 | 1132.500 | 9:7 | 1.286 | ||||||
| 4\71 | 67.606 | 1132.394 | 4:3 | 1.333 | Supersoft 17L 1s | |||||
| 11\195 | 67.692 | 1132.308 | 11:8 | 1.375 | ||||||
| 7\124 | 67.742 | 1132.258 | 7:5 | 1.400 | ||||||
| 10\177 | 67.797 | 1132.203 | 10:7 | 1.429 | ||||||
| 3\53 | 67.925 | 1132.075 | 3:2 | 1.500 | Soft 17L 1s | |||||
| 11\194 | 68.041 | 1131.959 | 11:7 | 1.571 | ||||||
| 8\141 | 68.085 | 1131.915 | 8:5 | 1.600 | ||||||
| 13\229 | 68.122 | 1131.878 | 13:8 | 1.625 | ||||||
| 5\88 | 68.182 | 1131.818 | 5:3 | 1.667 | Semisoft 17L 1s | |||||
| 12\211 | 68.246 | 1131.754 | 12:7 | 1.714 | ||||||
| 7\123 | 68.293 | 1131.707 | 7:4 | 1.750 | ||||||
| 9\158 | 68.354 | 1131.646 | 9:5 | 1.800 | ||||||
| 2\35 | 68.571 | 1131.429 | 2:1 | 2.000 | Basic 17L 1s | |||||
| 9\157 | 68.790 | 1131.210 | 9:4 | 2.250 | ||||||
| 7\122 | 68.852 | 1131.148 | 7:3 | 2.333 | ||||||
| 12\209 | 68.900 | 1131.100 | 12:5 | 2.400 | ||||||
| 5\87 | 68.966 | 1131.034 | 5:2 | 2.500 | Semihard 17L 1s | |||||
| 13\226 | 69.027 | 1130.973 | 13:5 | 2.600 | ||||||
| 8\139 | 69.065 | 1130.935 | 8:3 | 2.667 | ||||||
| 11\191 | 69.110 | 1130.890 | 11:4 | 2.750 | ||||||
| 3\52 | 69.231 | 1130.769 | 3:1 | 3.000 | Hard 17L 1s | |||||
| 10\173 | 69.364 | 1130.636 | 10:3 | 3.333 | ||||||
| 7\121 | 69.421 | 1130.579 | 7:2 | 3.500 | ||||||
| 11\190 | 69.474 | 1130.526 | 11:3 | 3.667 | ||||||
| 4\69 | 69.565 | 1130.435 | 4:1 | 4.000 | Superhard 17L 1s | |||||
| 9\155 | 69.677 | 1130.323 | 9:2 | 4.500 | ||||||
| 5\86 | 69.767 | 1130.233 | 5:1 | 5.000 | ||||||
| 6\103 | 69.903 | 1130.097 | 6:1 | 6.000 | ||||||
| 1\17 | 70.588 | 1129.412 | 1:0 | → ∞ | Collapsed 17L 1s | |||||