17L 2s
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Scale structure
Step pattern
LLLLLLLLLsLLLLLLLLs
sLLLLLLLLsLLLLLLLLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
10\19 to 9\17 (631.6¢ to 635.3¢)
Dark
8\17 to 9\19 (564.7¢ to 568.4¢)
TAMNAMS information
Descends from
2L 7s (balzano)
Ancestor's step ratio range
5:1 to 6:1
Related MOS scales
Parent
2L 15s
Sister
2L 17s
Daughters
19L 17s, 17L 19s
Neutralized
15L 4s
2-Flought
36L 2s, 17L 21s
Equal tunings
Equalized (L:s = 1:1)
10\19 (631.6¢)
Supersoft (L:s = 4:3)
39\74 (632.4¢)
Soft (L:s = 3:2)
29\55 (632.7¢)
Semisoft (L:s = 5:3)
48\91 (633.0¢)
Basic (L:s = 2:1)
19\36 (633.3¢)
Semihard (L:s = 5:2)
47\89 (633.7¢)
Hard (L:s = 3:1)
28\53 (634.0¢)
Superhard (L:s = 4:1)
37\70 (634.3¢)
Collapsed (L:s = 1:0)
9\17 (635.3¢)
| ↖ 16L 1s | ↑ 17L 1s | 18L 1s ↗ |
| ← 16L 2s | 17L 2s | 18L 2s → |
| ↙ 16L 3s | ↓ 17L 3s | 18L 3s ↘ |
┌╥╥╥╥╥╥╥╥╥┬╥╥╥╥╥╥╥╥┬┐ │║║║║║║║║║│║║║║║║║║││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLLLLLLLsLLLLLLLLL
17L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 2 small steps, repeating every octave. 17L 2s is related to 2L 7s, expanding it by 10 tones. Generators that produce this scale range from 631.6¢ to 635.3¢, or from 564.7¢ to 568.4¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 18|0 | 1 | LLLLLLLLLsLLLLLLLLs |
| 17|1 | 11 | LLLLLLLLsLLLLLLLLLs |
| 16|2 | 2 | LLLLLLLLsLLLLLLLLsL |
| 15|3 | 12 | LLLLLLLsLLLLLLLLLsL |
| 14|4 | 3 | LLLLLLLsLLLLLLLLsLL |
| 13|5 | 13 | LLLLLLsLLLLLLLLLsLL |
| 12|6 | 4 | LLLLLLsLLLLLLLLsLLL |
| 11|7 | 14 | LLLLLsLLLLLLLLLsLLL |
| 10|8 | 5 | LLLLLsLLLLLLLLsLLLL |
| 9|9 | 15 | LLLLsLLLLLLLLLsLLLL |
| 8|10 | 6 | LLLLsLLLLLLLLsLLLLL |
| 7|11 | 16 | LLLsLLLLLLLLLsLLLLL |
| 6|12 | 7 | LLLsLLLLLLLLsLLLLLL |
| 5|13 | 17 | LLsLLLLLLLLLsLLLLLL |
| 4|14 | 8 | LLsLLLLLLLLsLLLLLLL |
| 3|15 | 18 | LsLLLLLLLLLsLLLLLLL |
| 2|16 | 9 | LsLLLLLLLLsLLLLLLLL |
| 1|17 | 19 | sLLLLLLLLLsLLLLLLLL |
| 0|18 | 10 | sLLLLLLLLsLLLLLLLLL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 10\19 | 631.579 | 568.421 | 1:1 | 1.000 | Equalized 17L 2s | |||||
| 59\112 | 632.143 | 567.857 | 6:5 | 1.200 | ||||||
| 49\93 | 632.258 | 567.742 | 5:4 | 1.250 | ||||||
| 88\167 | 632.335 | 567.665 | 9:7 | 1.286 | ||||||
| 39\74 | 632.432 | 567.568 | 4:3 | 1.333 | Supersoft 17L 2s | |||||
| 107\203 | 632.512 | 567.488 | 11:8 | 1.375 | ||||||
| 68\129 | 632.558 | 567.442 | 7:5 | 1.400 | ||||||
| 97\184 | 632.609 | 567.391 | 10:7 | 1.429 | ||||||
| 29\55 | 632.727 | 567.273 | 3:2 | 1.500 | Soft 17L 2s | |||||
| 106\201 | 632.836 | 567.164 | 11:7 | 1.571 | ||||||
| 77\146 | 632.877 | 567.123 | 8:5 | 1.600 | ||||||
| 125\237 | 632.911 | 567.089 | 13:8 | 1.625 | ||||||
| 48\91 | 632.967 | 567.033 | 5:3 | 1.667 | Semisoft 17L 2s | |||||
| 115\218 | 633.028 | 566.972 | 12:7 | 1.714 | ||||||
| 67\127 | 633.071 | 566.929 | 7:4 | 1.750 | ||||||
| 86\163 | 633.129 | 566.871 | 9:5 | 1.800 | ||||||
| 19\36 | 633.333 | 566.667 | 2:1 | 2.000 | Basic 17L 2s Scales with tunings softer than this are proper | |||||
| 85\161 | 633.540 | 566.460 | 9:4 | 2.250 | ||||||
| 66\125 | 633.600 | 566.400 | 7:3 | 2.333 | ||||||
| 113\214 | 633.645 | 566.355 | 12:5 | 2.400 | ||||||
| 47\89 | 633.708 | 566.292 | 5:2 | 2.500 | Semihard 17L 2s | |||||
| 122\231 | 633.766 | 566.234 | 13:5 | 2.600 | ||||||
| 75\142 | 633.803 | 566.197 | 8:3 | 2.667 | ||||||
| 103\195 | 633.846 | 566.154 | 11:4 | 2.750 | ||||||
| 28\53 | 633.962 | 566.038 | 3:1 | 3.000 | Hard 17L 2s | |||||
| 93\176 | 634.091 | 565.909 | 10:3 | 3.333 | ||||||
| 65\123 | 634.146 | 565.854 | 7:2 | 3.500 | ||||||
| 102\193 | 634.197 | 565.803 | 11:3 | 3.667 | ||||||
| 37\70 | 634.286 | 565.714 | 4:1 | 4.000 | Superhard 17L 2s | |||||
| 83\157 | 634.395 | 565.605 | 9:2 | 4.500 | ||||||
| 46\87 | 634.483 | 565.517 | 5:1 | 5.000 | ||||||
| 55\104 | 634.615 | 565.385 | 6:1 | 6.000 | ||||||
| 9\17 | 635.294 | 564.706 | 1:0 | → ∞ | Collapsed 17L 2s | |||||
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