2L 15s
Jump to navigation
Jump to search
Scale structure
Step pattern
LsssssssLssssssss
ssssssssLsssssssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
8\17 to 1\2 (564.7¢ to 600.0¢)
Dark
1\2 to 9\17 (600.0¢ to 635.3¢)
TAMNAMS information
Descends from
2L 7s (balzano)
Ancestor's step ratio range
5:1 to 1:0
Related MOS scales
Parent
2L 13s
Sister
15L 2s
Daughters
17L 2s, 2L 17s
Neutralized
4L 13s
2-Flought
19L 15s, 2L 32s
Equal tunings
Equalized (L:s = 1:1)
8\17 (564.7¢)
Supersoft (L:s = 4:3)
25\53 (566.0¢)
Soft (L:s = 3:2)
17\36 (566.7¢)
Semisoft (L:s = 5:3)
26\55 (567.3¢)
Basic (L:s = 2:1)
9\19 (568.4¢)
Semihard (L:s = 5:2)
19\40 (570.0¢)
Hard (L:s = 3:1)
10\21 (571.4¢)
Superhard (L:s = 4:1)
11\23 (573.9¢)
Collapsed (L:s = 1:0)
1\2 (600.0¢)
| ↖ 1L 14s | ↑ 2L 14s | 3L 14s ↗ |
| ← 1L 15s | 2L 15s | 3L 15s → |
| ↙ 1L 16s | ↓ 2L 16s | 3L 16s ↘ |
┌╥┬┬┬┬┬┬┬╥┬┬┬┬┬┬┬┬┐ │║│││││││║│││││││││ │││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssssssssLsssssssL
2L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 15 small steps, repeating every octave. 2L 15s is related to 2L 7s, expanding it by 8 tones. Generators that produce this scale range from 564.7¢ to 600¢, or from 600¢ to 635.3¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 16|0 | 1 | LsssssssLssssssss |
| 15|1 | 9 | LssssssssLsssssss |
| 14|2 | 17 | sLsssssssLsssssss |
| 13|3 | 8 | sLssssssssLssssss |
| 12|4 | 16 | ssLsssssssLssssss |
| 11|5 | 7 | ssLssssssssLsssss |
| 10|6 | 15 | sssLsssssssLsssss |
| 9|7 | 6 | sssLssssssssLssss |
| 8|8 | 14 | ssssLsssssssLssss |
| 7|9 | 5 | ssssLssssssssLsss |
| 6|10 | 13 | sssssLsssssssLsss |
| 5|11 | 4 | sssssLssssssssLss |
| 4|12 | 12 | ssssssLsssssssLss |
| 3|13 | 3 | ssssssLssssssssLs |
| 2|14 | 11 | sssssssLsssssssLs |
| 1|15 | 2 | sssssssLssssssssL |
| 0|16 | 10 | ssssssssLsssssssL |
Tuning spectrum
 |
Todo: review Review entries from past page revision and enter them into the scale tree. |
Triton / liese / progress range
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 8\17 | 564.706 | 635.294 | 1:1 | 1.000 | Equalized 2L 15s | |||||
| 41\87 | 565.517 | 634.483 | 6:5 | 1.200 | ||||||
| 33\70 | 565.714 | 634.286 | 5:4 | 1.250 | ||||||
| 58\123 | 565.854 | 634.146 | 9:7 | 1.286 | ||||||
| 25\53 | 566.038 | 633.962 | 4:3 | 1.333 | Supersoft 2L 15s | |||||
| 67\142 | 566.197 | 633.803 | 11:8 | 1.375 | ||||||
| 42\89 | 566.292 | 633.708 | 7:5 | 1.400 | ||||||
| 59\125 | 566.400 | 633.600 | 10:7 | 1.429 | ||||||
| 17\36 | 566.667 | 633.333 | 3:2 | 1.500 | Soft 2L 15s | |||||
| 60\127 | 566.929 | 633.071 | 11:7 | 1.571 | ||||||
| 43\91 | 567.033 | 632.967 | 8:5 | 1.600 | ||||||
| 69\146 | 567.123 | 632.877 | 13:8 | 1.625 | ||||||
| 26\55 | 567.273 | 632.727 | 5:3 | 1.667 | Semisoft 2L 15s | |||||
| 61\129 | 567.442 | 632.558 | 12:7 | 1.714 | ||||||
| 35\74 | 567.568 | 632.432 | 7:4 | 1.750 | ||||||
| 44\93 | 567.742 | 632.258 | 9:5 | 1.800 | ||||||
| 9\19 | 568.421 | 631.579 | 2:1 | 2.000 | Basic 2L 15s Scales with tunings softer than this are proper | |||||
| 37\78 | 569.231 | 630.769 | 9:4 | 2.250 | ||||||
| 28\59 | 569.492 | 630.508 | 7:3 | 2.333 | ||||||
| 47\99 | 569.697 | 630.303 | 12:5 | 2.400 | ||||||
| 19\40 | 570.000 | 630.000 | 5:2 | 2.500 | Semihard 2L 15s | |||||
| 48\101 | 570.297 | 629.703 | 13:5 | 2.600 | ||||||
| 29\61 | 570.492 | 629.508 | 8:3 | 2.667 | ||||||
| 39\82 | 570.732 | 629.268 | 11:4 | 2.750 | ||||||
| 10\21 | 571.429 | 628.571 | 3:1 | 3.000 | Hard 2L 15s | |||||
| 31\65 | 572.308 | 627.692 | 10:3 | 3.333 | ||||||
| 21\44 | 572.727 | 627.273 | 7:2 | 3.500 | ||||||
| 32\67 | 573.134 | 626.866 | 11:3 | 3.667 | ||||||
| 11\23 | 573.913 | 626.087 | 4:1 | 4.000 | Superhard 2L 15s | |||||
| 23\48 | 575.000 | 625.000 | 9:2 | 4.500 | ||||||
| 12\25 | 576.000 | 624.000 | 5:1 | 5.000 | ||||||
| 13\27 | 577.778 | 622.222 | 6:1 | 6.000 | ||||||
| 1\2 | 600.000 | 600.000 | 1:0 | → ∞ | Collapsed 2L 15s | |||||