2L 23s
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Scale structure
Step pattern
LsssssssssssLssssssssssss
ssssssssssssLsssssssssssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
12\25 to 1\2 (576.0¢ to 600.0¢)
Dark
1\2 to 13\25 (600.0¢ to 624.0¢)
TAMNAMS information
Descends from
2L 7s (balzano)
Ancestor's step ratio range
9:1 to 1:0
Related MOS scales
Parent
2L 21s
Sister
23L 2s
Daughters
25L 2s, 2L 25s
Neutralized
4L 21s
2-Flought
27L 23s, 2L 48s
Equal tunings
Equalized (L:s = 1:1)
12\25 (576.0¢)
Supersoft (L:s = 4:3)
37\77 (576.6¢)
Soft (L:s = 3:2)
25\52 (576.9¢)
Semisoft (L:s = 5:3)
38\79 (577.2¢)
Basic (L:s = 2:1)
13\27 (577.8¢)
Semihard (L:s = 5:2)
27\56 (578.6¢)
Hard (L:s = 3:1)
14\29 (579.3¢)
Superhard (L:s = 4:1)
15\31 (580.6¢)
Collapsed (L:s = 1:0)
1\2 (600.0¢)
| ↖ 1L 22s | ↑ 2L 22s | 3L 22s ↗ |
| ← 1L 23s | 2L 23s | 3L 23s → |
| ↙ 1L 24s | ↓ 2L 24s | 3L 24s ↘ |
┌╥┬┬┬┬┬┬┬┬┬┬┬╥┬┬┬┬┬┬┬┬┬┬┬┬┐ │║│││││││││││║│││││││││││││ │││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssssssssssssLsssssssssssL
2L 23s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 23 small steps, repeating every octave. 2L 23s is related to 2L 7s, expanding it by 16 tones. Generators that produce this scale range from 576¢ to 600¢, or from 600¢ to 624¢.
Modes
| UDP | Cyclic Order |
Step Pattern |
|---|---|---|
| 24|0 | 1 | LsssssssssssLssssssssssss |
| 23|1 | 13 | LssssssssssssLsssssssssss |
| 22|2 | 25 | sLsssssssssssLsssssssssss |
| 21|3 | 12 | sLssssssssssssLssssssssss |
| 20|4 | 24 | ssLsssssssssssLssssssssss |
| 19|5 | 11 | ssLssssssssssssLsssssssss |
| 18|6 | 23 | sssLsssssssssssLsssssssss |
| 17|7 | 10 | sssLssssssssssssLssssssss |
| 16|8 | 22 | ssssLsssssssssssLssssssss |
| 15|9 | 9 | ssssLssssssssssssLsssssss |
| 14|10 | 21 | sssssLsssssssssssLsssssss |
| 13|11 | 8 | sssssLssssssssssssLssssss |
| 12|12 | 20 | ssssssLsssssssssssLssssss |
| 11|13 | 7 | ssssssLssssssssssssLsssss |
| 10|14 | 19 | sssssssLsssssssssssLsssss |
| 9|15 | 6 | sssssssLssssssssssssLssss |
| 8|16 | 18 | ssssssssLsssssssssssLssss |
| 7|17 | 5 | ssssssssLssssssssssssLsss |
| 6|18 | 17 | sssssssssLsssssssssssLsss |
| 5|19 | 4 | sssssssssLssssssssssssLss |
| 4|20 | 16 | ssssssssssLsssssssssssLss |
| 3|21 | 3 | ssssssssssLssssssssssssLs |
| 2|22 | 15 | sssssssssssLsssssssssssLs |
| 1|23 | 2 | sssssssssssLssssssssssssL |
| 0|24 | 14 | ssssssssssssLsssssssssssL |
Scale tree
| Generator(edo) | Cents | Step Ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 12\25 | 576.000 | 624.000 | 1:1 | 1.000 | Equalized 2L 23s | |||||
| 61\127 | 576.378 | 623.622 | 6:5 | 1.200 | ||||||
| 49\102 | 576.471 | 623.529 | 5:4 | 1.250 | ||||||
| 86\179 | 576.536 | 623.464 | 9:7 | 1.286 | ||||||
| 37\77 | 576.623 | 623.377 | 4:3 | 1.333 | Supersoft 2L 23s | |||||
| 99\206 | 576.699 | 623.301 | 11:8 | 1.375 | ||||||
| 62\129 | 576.744 | 623.256 | 7:5 | 1.400 | ||||||
| 87\181 | 576.796 | 623.204 | 10:7 | 1.429 | ||||||
| 25\52 | 576.923 | 623.077 | 3:2 | 1.500 | Soft 2L 23s | |||||
| 88\183 | 577.049 | 622.951 | 11:7 | 1.571 | ||||||
| 63\131 | 577.099 | 622.901 | 8:5 | 1.600 | ||||||
| 101\210 | 577.143 | 622.857 | 13:8 | 1.625 | ||||||
| 38\79 | 577.215 | 622.785 | 5:3 | 1.667 | Semisoft 2L 23s | |||||
| 89\185 | 577.297 | 622.703 | 12:7 | 1.714 | ||||||
| 51\106 | 577.358 | 622.642 | 7:4 | 1.750 | ||||||
| 64\133 | 577.444 | 622.556 | 9:5 | 1.800 | ||||||
| 13\27 | 577.778 | 622.222 | 2:1 | 2.000 | Basic 2L 23s Scales with tunings softer than this are proper | |||||
| 53\110 | 578.182 | 621.818 | 9:4 | 2.250 | ||||||
| 40\83 | 578.313 | 621.687 | 7:3 | 2.333 | ||||||
| 67\139 | 578.417 | 621.583 | 12:5 | 2.400 | ||||||
| 27\56 | 578.571 | 621.429 | 5:2 | 2.500 | Semihard 2L 23s | |||||
| 68\141 | 578.723 | 621.277 | 13:5 | 2.600 | ||||||
| 41\85 | 578.824 | 621.176 | 8:3 | 2.667 | ||||||
| 55\114 | 578.947 | 621.053 | 11:4 | 2.750 | ||||||
| 14\29 | 579.310 | 620.690 | 3:1 | 3.000 | Hard 2L 23s | |||||
| 43\89 | 579.775 | 620.225 | 10:3 | 3.333 | ||||||
| 29\60 | 580.000 | 620.000 | 7:2 | 3.500 | ||||||
| 44\91 | 580.220 | 619.780 | 11:3 | 3.667 | ||||||
| 15\31 | 580.645 | 619.355 | 4:1 | 4.000 | Superhard 2L 23s | |||||
| 31\64 | 581.250 | 618.750 | 9:2 | 4.500 | ||||||
| 16\33 | 581.818 | 618.182 | 5:1 | 5.000 | ||||||
| 17\35 | 582.857 | 617.143 | 6:1 | 6.000 | ||||||
| 1\2 | 600.000 | 600.000 | 1:0 | → ∞ | Collapsed 2L 23s | |||||