2L 21s
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Scale structure
Step pattern
LssssssssssLsssssssssss
sssssssssssLssssssssssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
11\23 to 1\2 (573.9¢ to 600.0¢)
Dark
1\2 to 12\23 (600.0¢ to 626.1¢)
TAMNAMS information
Descends from
2L 7s (balzano)
Ancestor's step ratio range
8:1 to 1:0
Related MOS scales
Parent
2L 19s
Sister
21L 2s
Daughters
23L 2s, 2L 23s
Neutralized
4L 19s
2-Flought
25L 21s, 2L 44s
Equal tunings
Equalized (L:s = 1:1)
11\23 (573.9¢)
Supersoft (L:s = 4:3)
34\71 (574.6¢)
Soft (L:s = 3:2)
23\48 (575.0¢)
Semisoft (L:s = 5:3)
35\73 (575.3¢)
Basic (L:s = 2:1)
12\25 (576.0¢)
Semihard (L:s = 5:2)
25\52 (576.9¢)
Hard (L:s = 3:1)
13\27 (577.8¢)
Superhard (L:s = 4:1)
14\29 (579.3¢)
Collapsed (L:s = 1:0)
1\2 (600.0¢)
| ↖ 1L 20s | ↑ 2L 20s | 3L 20s ↗ |
| ← 1L 21s | 2L 21s | 3L 21s → |
| ↙ 1L 22s | ↓ 2L 22s | 3L 22s ↘ |
┌╥┬┬┬┬┬┬┬┬┬┬╥┬┬┬┬┬┬┬┬┬┬┬┐ │║││││││││││║││││││││││││ │││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssssssssssLssssssssssL
2L 21s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 21 small steps, repeating every octave. 2L 21s is related to 2L 7s, expanding it by 14 tones. Generators that produce this scale range from 573.9¢ to 600¢, or from 600¢ to 626.1¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 22|0 | 1 | LssssssssssLsssssssssss |
| 21|1 | 12 | LsssssssssssLssssssssss |
| 20|2 | 23 | sLssssssssssLssssssssss |
| 19|3 | 11 | sLsssssssssssLsssssssss |
| 18|4 | 22 | ssLssssssssssLsssssssss |
| 17|5 | 10 | ssLsssssssssssLssssssss |
| 16|6 | 21 | sssLssssssssssLssssssss |
| 15|7 | 9 | sssLsssssssssssLsssssss |
| 14|8 | 20 | ssssLssssssssssLsssssss |
| 13|9 | 8 | ssssLsssssssssssLssssss |
| 12|10 | 19 | sssssLssssssssssLssssss |
| 11|11 | 7 | sssssLsssssssssssLsssss |
| 10|12 | 18 | ssssssLssssssssssLsssss |
| 9|13 | 6 | ssssssLsssssssssssLssss |
| 8|14 | 17 | sssssssLssssssssssLssss |
| 7|15 | 5 | sssssssLsssssssssssLsss |
| 6|16 | 16 | ssssssssLssssssssssLsss |
| 5|17 | 4 | ssssssssLsssssssssssLss |
| 4|18 | 15 | sssssssssLssssssssssLss |
| 3|19 | 3 | sssssssssLsssssssssssLs |
| 2|20 | 14 | ssssssssssLssssssssssLs |
| 1|21 | 2 | ssssssssssLsssssssssssL |
| 0|22 | 13 | sssssssssssLssssssssssL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 11\23 | 573.913 | 626.087 | 1:1 | 1.000 | Equalized 2L 21s | |||||
| 56\117 | 574.359 | 625.641 | 6:5 | 1.200 | ||||||
| 45\94 | 574.468 | 625.532 | 5:4 | 1.250 | ||||||
| 79\165 | 574.545 | 625.455 | 9:7 | 1.286 | ||||||
| 34\71 | 574.648 | 625.352 | 4:3 | 1.333 | Supersoft 2L 21s | |||||
| 91\190 | 574.737 | 625.263 | 11:8 | 1.375 | ||||||
| 57\119 | 574.790 | 625.210 | 7:5 | 1.400 | ||||||
| 80\167 | 574.850 | 625.150 | 10:7 | 1.429 | ||||||
| 23\48 | 575.000 | 625.000 | 3:2 | 1.500 | Soft 2L 21s | |||||
| 81\169 | 575.148 | 624.852 | 11:7 | 1.571 | ||||||
| 58\121 | 575.207 | 624.793 | 8:5 | 1.600 | ||||||
| 93\194 | 575.258 | 624.742 | 13:8 | 1.625 | ||||||
| 35\73 | 575.342 | 624.658 | 5:3 | 1.667 | Semisoft 2L 21s | |||||
| 82\171 | 575.439 | 624.561 | 12:7 | 1.714 | ||||||
| 47\98 | 575.510 | 624.490 | 7:4 | 1.750 | ||||||
| 59\123 | 575.610 | 624.390 | 9:5 | 1.800 | ||||||
| 12\25 | 576.000 | 624.000 | 2:1 | 2.000 | Basic 2L 21s Scales with tunings softer than this are proper | |||||
| 49\102 | 576.471 | 623.529 | 9:4 | 2.250 | ||||||
| 37\77 | 576.623 | 623.377 | 7:3 | 2.333 | ||||||
| 62\129 | 576.744 | 623.256 | 12:5 | 2.400 | ||||||
| 25\52 | 576.923 | 623.077 | 5:2 | 2.500 | Semihard 2L 21s | |||||
| 63\131 | 577.099 | 622.901 | 13:5 | 2.600 | ||||||
| 38\79 | 577.215 | 622.785 | 8:3 | 2.667 | ||||||
| 51\106 | 577.358 | 622.642 | 11:4 | 2.750 | ||||||
| 13\27 | 577.778 | 622.222 | 3:1 | 3.000 | Hard 2L 21s | |||||
| 40\83 | 578.313 | 621.687 | 10:3 | 3.333 | ||||||
| 27\56 | 578.571 | 621.429 | 7:2 | 3.500 | ||||||
| 41\85 | 578.824 | 621.176 | 11:3 | 3.667 | ||||||
| 14\29 | 579.310 | 620.690 | 4:1 | 4.000 | Superhard 2L 21s | |||||
| 29\60 | 580.000 | 620.000 | 9:2 | 4.500 | ||||||
| 15\31 | 580.645 | 619.355 | 5:1 | 5.000 | ||||||
| 16\33 | 581.818 | 618.182 | 6:1 | 6.000 | ||||||
| 1\2 | 600.000 | 600.000 | 1:0 | → ∞ | Collapsed 2L 21s | |||||