2L 23s

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↖ 1L 22s ↑ 2L 22s 3L 22s ↗
← 1L 23s 2L 23s 3L 23s →
↙ 1L 24s ↓ 2L 24s 3L 24s ↘
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
Related to 2L 7s (balzano)
With tunings 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 ¢)
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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

Modes of 2L 23s
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

Intervals

Intervals of 2L 23s
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0 ¢
1-mosstep Minor 1-mosstep m1ms s 0.0 ¢ to 48.0 ¢
Major 1-mosstep M1ms L 48.0 ¢ to 600.0 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 96.0 ¢
Major 2-mosstep M2ms L + s 96.0 ¢ to 600.0 ¢
3-mosstep Minor 3-mosstep m3ms 3s 0.0 ¢ to 144.0 ¢
Major 3-mosstep M3ms L + 2s 144.0 ¢ to 600.0 ¢
4-mosstep Minor 4-mosstep m4ms 4s 0.0 ¢ to 192.0 ¢
Major 4-mosstep M4ms L + 3s 192.0 ¢ to 600.0 ¢
5-mosstep Minor 5-mosstep m5ms 5s 0.0 ¢ to 240.0 ¢
Major 5-mosstep M5ms L + 4s 240.0 ¢ to 600.0 ¢
6-mosstep Minor 6-mosstep m6ms 6s 0.0 ¢ to 288.0 ¢
Major 6-mosstep M6ms L + 5s 288.0 ¢ to 600.0 ¢
7-mosstep Minor 7-mosstep m7ms 7s 0.0 ¢ to 336.0 ¢
Major 7-mosstep M7ms L + 6s 336.0 ¢ to 600.0 ¢
8-mosstep Minor 8-mosstep m8ms 8s 0.0 ¢ to 384.0 ¢
Major 8-mosstep M8ms L + 7s 384.0 ¢ to 600.0 ¢
9-mosstep Minor 9-mosstep m9ms 9s 0.0 ¢ to 432.0 ¢
Major 9-mosstep M9ms L + 8s 432.0 ¢ to 600.0 ¢
10-mosstep Minor 10-mosstep m10ms 10s 0.0 ¢ to 480.0 ¢
Major 10-mosstep M10ms L + 9s 480.0 ¢ to 600.0 ¢
11-mosstep Minor 11-mosstep m11ms 11s 0.0 ¢ to 528.0 ¢
Major 11-mosstep M11ms L + 10s 528.0 ¢ to 600.0 ¢
12-mosstep Diminished 12-mosstep d12ms 12s 0.0 ¢ to 576.0 ¢
Perfect 12-mosstep P12ms L + 11s 576.0 ¢ to 600.0 ¢
13-mosstep Perfect 13-mosstep P13ms L + 12s 600.0 ¢ to 624.0 ¢
Augmented 13-mosstep A13ms 2L + 11s 624.0 ¢ to 1200.0 ¢
14-mosstep Minor 14-mosstep m14ms L + 13s 600.0 ¢ to 672.0 ¢
Major 14-mosstep M14ms 2L + 12s 672.0 ¢ to 1200.0 ¢
15-mosstep Minor 15-mosstep m15ms L + 14s 600.0 ¢ to 720.0 ¢
Major 15-mosstep M15ms 2L + 13s 720.0 ¢ to 1200.0 ¢
16-mosstep Minor 16-mosstep m16ms L + 15s 600.0 ¢ to 768.0 ¢
Major 16-mosstep M16ms 2L + 14s 768.0 ¢ to 1200.0 ¢
17-mosstep Minor 17-mosstep m17ms L + 16s 600.0 ¢ to 816.0 ¢
Major 17-mosstep M17ms 2L + 15s 816.0 ¢ to 1200.0 ¢
18-mosstep Minor 18-mosstep m18ms L + 17s 600.0 ¢ to 864.0 ¢
Major 18-mosstep M18ms 2L + 16s 864.0 ¢ to 1200.0 ¢
19-mosstep Minor 19-mosstep m19ms L + 18s 600.0 ¢ to 912.0 ¢
Major 19-mosstep M19ms 2L + 17s 912.0 ¢ to 1200.0 ¢
20-mosstep Minor 20-mosstep m20ms L + 19s 600.0 ¢ to 960.0 ¢
Major 20-mosstep M20ms 2L + 18s 960.0 ¢ to 1200.0 ¢
21-mosstep Minor 21-mosstep m21ms L + 20s 600.0 ¢ to 1008.0 ¢
Major 21-mosstep M21ms 2L + 19s 1008.0 ¢ to 1200.0 ¢
22-mosstep Minor 22-mosstep m22ms L + 21s 600.0 ¢ to 1056.0 ¢
Major 22-mosstep M22ms 2L + 20s 1056.0 ¢ to 1200.0 ¢
23-mosstep Minor 23-mosstep m23ms L + 22s 600.0 ¢ to 1104.0 ¢
Major 23-mosstep M23ms 2L + 21s 1104.0 ¢ to 1200.0 ¢
24-mosstep Minor 24-mosstep m24ms L + 23s 600.0 ¢ to 1152.0 ¢
Major 24-mosstep M24ms 2L + 22s 1152.0 ¢ to 1200.0 ¢
25-mosstep Perfect 25-mosstep P25ms 2L + 23s 1200.0 ¢

Scale tree

Scale tree and tuning spectrum of 2L 23s
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
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