6L 25s

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↖ 5L 24s ↑ 6L 24s 7L 24s ↗
← 5L 25s 6L 25s 7L 25s →
↙ 5L 26s ↓ 6L 26s 7L 26s ↘
Scale structure
Step pattern LssssLssssLssssLssssLssssLsssss
sssssLssssLssssLssssLssssLssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 5\31 to 1\6 (193.5 ¢ to 200.0 ¢)
Dark 5\6 to 26\31 (1000.0 ¢ to 1006.5 ¢)
TAMNAMS information
Related to 6L 1s (archaeotonic)
With tunings 5:1 to 1:0
Related MOS scales
Parent 6L 19s
Sister 25L 6s
Daughters 31L 6s, 6L 31s
Neutralized 12L 19s
2-Flought 37L 25s, 6L 56s
Equal tunings
Equalized (L:s = 1:1) 5\31 (193.5 ¢)
Supersoft (L:s = 4:3) 16\99 (193.9 ¢)
Soft (L:s = 3:2) 11\68 (194.1 ¢)
Semisoft (L:s = 5:3) 17\105 (194.3 ¢)
Basic (L:s = 2:1) 6\37 (194.6 ¢)
Semihard (L:s = 5:2) 13\80 (195.0 ¢)
Hard (L:s = 3:1) 7\43 (195.3 ¢)
Superhard (L:s = 4:1) 8\49 (195.9 ¢)
Collapsed (L:s = 1:0) 1\6 (200.0 ¢)
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6L 25s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 25 small steps, repeating every octave. 6L 25s is related to 6L 1s, expanding it by 24 tones. Generators that produce this scale range from 193.5 ¢ to 200 ¢, or from 1000 ¢ to 1006.5 ¢.

Soft-to-basic tunings are associated with hemiwurschmidt temperament, being its 31-note MOS, while basic-to-parahard tunings are associated with sharp didacus extensions, namely roulette.

Intervals

Intervals of 6L 25s
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 38.7 ¢
Major 1-mosstep M1ms L 38.7 ¢ to 200.0 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 77.4 ¢
Major 2-mosstep M2ms L + s 77.4 ¢ to 200.0 ¢
3-mosstep Minor 3-mosstep m3ms 3s 0.0 ¢ to 116.1 ¢
Major 3-mosstep M3ms L + 2s 116.1 ¢ to 200.0 ¢
4-mosstep Minor 4-mosstep m4ms 4s 0.0 ¢ to 154.8 ¢
Major 4-mosstep M4ms L + 3s 154.8 ¢ to 200.0 ¢
5-mosstep Diminished 5-mosstep d5ms 5s 0.0 ¢ to 193.5 ¢
Perfect 5-mosstep P5ms L + 4s 193.5 ¢ to 200.0 ¢
6-mosstep Minor 6-mosstep m6ms L + 5s 200.0 ¢ to 232.3 ¢
Major 6-mosstep M6ms 2L + 4s 232.3 ¢ to 400.0 ¢
7-mosstep Minor 7-mosstep m7ms L + 6s 200.0 ¢ to 271.0 ¢
Major 7-mosstep M7ms 2L + 5s 271.0 ¢ to 400.0 ¢
8-mosstep Minor 8-mosstep m8ms L + 7s 200.0 ¢ to 309.7 ¢
Major 8-mosstep M8ms 2L + 6s 309.7 ¢ to 400.0 ¢
9-mosstep Minor 9-mosstep m9ms L + 8s 200.0 ¢ to 348.4 ¢
Major 9-mosstep M9ms 2L + 7s 348.4 ¢ to 400.0 ¢
10-mosstep Minor 10-mosstep m10ms L + 9s 200.0 ¢ to 387.1 ¢
Major 10-mosstep M10ms 2L + 8s 387.1 ¢ to 400.0 ¢
11-mosstep Minor 11-mosstep m11ms 2L + 9s 400.0 ¢ to 425.8 ¢
Major 11-mosstep M11ms 3L + 8s 425.8 ¢ to 600.0 ¢
12-mosstep Minor 12-mosstep m12ms 2L + 10s 400.0 ¢ to 464.5 ¢
Major 12-mosstep M12ms 3L + 9s 464.5 ¢ to 600.0 ¢
13-mosstep Minor 13-mosstep m13ms 2L + 11s 400.0 ¢ to 503.2 ¢
Major 13-mosstep M13ms 3L + 10s 503.2 ¢ to 600.0 ¢
14-mosstep Minor 14-mosstep m14ms 2L + 12s 400.0 ¢ to 541.9 ¢
Major 14-mosstep M14ms 3L + 11s 541.9 ¢ to 600.0 ¢
15-mosstep Minor 15-mosstep m15ms 2L + 13s 400.0 ¢ to 580.6 ¢
Major 15-mosstep M15ms 3L + 12s 580.6 ¢ to 600.0 ¢
16-mosstep Minor 16-mosstep m16ms 3L + 13s 600.0 ¢ to 619.4 ¢
Major 16-mosstep M16ms 4L + 12s 619.4 ¢ to 800.0 ¢
17-mosstep Minor 17-mosstep m17ms 3L + 14s 600.0 ¢ to 658.1 ¢
Major 17-mosstep M17ms 4L + 13s 658.1 ¢ to 800.0 ¢
18-mosstep Minor 18-mosstep m18ms 3L + 15s 600.0 ¢ to 696.8 ¢
Major 18-mosstep M18ms 4L + 14s 696.8 ¢ to 800.0 ¢
19-mosstep Minor 19-mosstep m19ms 3L + 16s 600.0 ¢ to 735.5 ¢
Major 19-mosstep M19ms 4L + 15s 735.5 ¢ to 800.0 ¢
20-mosstep Minor 20-mosstep m20ms 3L + 17s 600.0 ¢ to 774.2 ¢
Major 20-mosstep M20ms 4L + 16s 774.2 ¢ to 800.0 ¢
21-mosstep Minor 21-mosstep m21ms 4L + 17s 800.0 ¢ to 812.9 ¢
Major 21-mosstep M21ms 5L + 16s 812.9 ¢ to 1000.0 ¢
22-mosstep Minor 22-mosstep m22ms 4L + 18s 800.0 ¢ to 851.6 ¢
Major 22-mosstep M22ms 5L + 17s 851.6 ¢ to 1000.0 ¢
23-mosstep Minor 23-mosstep m23ms 4L + 19s 800.0 ¢ to 890.3 ¢
Major 23-mosstep M23ms 5L + 18s 890.3 ¢ to 1000.0 ¢
24-mosstep Minor 24-mosstep m24ms 4L + 20s 800.0 ¢ to 929.0 ¢
Major 24-mosstep M24ms 5L + 19s 929.0 ¢ to 1000.0 ¢
25-mosstep Minor 25-mosstep m25ms 4L + 21s 800.0 ¢ to 967.7 ¢
Major 25-mosstep M25ms 5L + 20s 967.7 ¢ to 1000.0 ¢
26-mosstep Perfect 26-mosstep P26ms 5L + 21s 1000.0 ¢ to 1006.5 ¢
Augmented 26-mosstep A26ms 6L + 20s 1006.5 ¢ to 1200.0 ¢
27-mosstep Minor 27-mosstep m27ms 5L + 22s 1000.0 ¢ to 1045.2 ¢
Major 27-mosstep M27ms 6L + 21s 1045.2 ¢ to 1200.0 ¢
28-mosstep Minor 28-mosstep m28ms 5L + 23s 1000.0 ¢ to 1083.9 ¢
Major 28-mosstep M28ms 6L + 22s 1083.9 ¢ to 1200.0 ¢
29-mosstep Minor 29-mosstep m29ms 5L + 24s 1000.0 ¢ to 1122.6 ¢
Major 29-mosstep M29ms 6L + 23s 1122.6 ¢ to 1200.0 ¢
30-mosstep Minor 30-mosstep m30ms 5L + 25s 1000.0 ¢ to 1161.3 ¢
Major 30-mosstep M30ms 6L + 24s 1161.3 ¢ to 1200.0 ¢
31-mosstep Perfect 31-mosstep P31ms 6L + 25s 1200.0 ¢

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: 
{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}


The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.


Scale tree and tuning spectrum of 6L 25s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
5\31 193.548 1006.452 1:1 1.000 Equalized 6L 25s
26\161 193.789 1006.211 6:5 1.200
21\130 193.846 1006.154 5:4 1.250
37\229 193.886 1006.114 9:7 1.286
16\99 193.939 1006.061 4:3 1.333 Supersoft 6L 25s
43\266 193.985 1006.015 11:8 1.375
27\167 194.012 1005.988 7:5 1.400
38\235 194.043 1005.957 10:7 1.429
11\68 194.118 1005.882 3:2 1.500 Soft 6L 25s
39\241 194.191 1005.809 11:7 1.571
28\173 194.220 1005.780 8:5 1.600
45\278 194.245 1005.755 13:8 1.625
17\105 194.286 1005.714 5:3 1.667 Semisoft 6L 25s
40\247 194.332 1005.668 12:7 1.714
23\142 194.366 1005.634 7:4 1.750
29\179 194.413 1005.587 9:5 1.800
6\37 194.595 1005.405 2:1 2.000 Basic 6L 25s
Scales with tunings softer than this are proper
25\154 194.805 1005.195 9:4 2.250
19\117 194.872 1005.128 7:3 2.333
32\197 194.924 1005.076 12:5 2.400
13\80 195.000 1005.000 5:2 2.500 Semihard 6L 25s
33\203 195.074 1004.926 13:5 2.600
20\123 195.122 1004.878 8:3 2.667
27\166 195.181 1004.819 11:4 2.750
7\43 195.349 1004.651 3:1 3.000 Hard 6L 25s
22\135 195.556 1004.444 10:3 3.333
15\92 195.652 1004.348 7:2 3.500
23\141 195.745 1004.255 11:3 3.667
8\49 195.918 1004.082 4:1 4.000 Superhard 6L 25s
17\104 196.154 1003.846 9:2 4.500
9\55 196.364 1003.636 5:1 5.000
10\61 196.721 1003.279 6:1 6.000
1\6 200.000 1000.000 1:0 → ∞ Collapsed 6L 25s


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