25L 6s

From Xenharmonic Wiki
Revision as of 00:34, 15 December 2024 by BudjarnLambeth (talk | contribs) (-todo:expand, already stub which is more accurate; add intervals; remove modes)
Jump to navigation Jump to search
↖ 24L 5s ↑ 25L 5s 26L 5s ↗
← 24L 6s 25L 6s 26L 6s →
↙ 24L 7s ↓ 25L 7s 26L 7s ↘
Scale structure
Step pattern LLLLLsLLLLsLLLLsLLLLsLLLLsLLLLs
sLLLLsLLLLsLLLLsLLLLsLLLLsLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 26\31 to 21\25 (1006.5 ¢ to 1008.0 ¢)
Dark 4\25 to 5\31 (192.0 ¢ to 193.5 ¢)
TAMNAMS information
Related to 6L 1s (archaeotonic)
With tunings 4:1 to 5:1
Related MOS scales
Parent 6L 19s
Sister 6L 25s
Daughters 31L 25s, 25L 31s
Neutralized 19L 12s
2-Flought 56L 6s, 25L 37s
Equal tunings
Equalized (L:s = 1:1) 26\31 (1006.5 ¢)
Supersoft (L:s = 4:3) 99\118 (1006.8 ¢)
Soft (L:s = 3:2) 73\87 (1006.9 ¢)
Semisoft (L:s = 5:3) 120\143 (1007.0 ¢)
Basic (L:s = 2:1) 47\56 (1007.1 ¢)
Semihard (L:s = 5:2) 115\137 (1007.3 ¢)
Hard (L:s = 3:1) 68\81 (1007.4 ¢)
Superhard (L:s = 4:1) 89\106 (1007.5 ¢)
Collapsed (L:s = 1:0) 21\25 (1008.0 ¢)
ViewTalkEdit

25L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 25 large steps and 6 small steps, repeating every octave. 25L 6s is related to 6L 1s, expanding it by 24 tones. Generators that produce this scale range from 1006.5 ¢ to 1008 ¢, or from 192 ¢ to 193.5 ¢.

Intervals

Intervals of 25L 6s
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 48.0 ¢
2-mosstep Minor 2-mosstep m2ms L + s 48.0 ¢ to 77.4 ¢
Major 2-mosstep M2ms 2L 77.4 ¢ to 96.0 ¢
3-mosstep Minor 3-mosstep m3ms 2L + s 96.0 ¢ to 116.1 ¢
Major 3-mosstep M3ms 3L 116.1 ¢ to 144.0 ¢
4-mosstep Minor 4-mosstep m4ms 3L + s 144.0 ¢ to 154.8 ¢
Major 4-mosstep M4ms 4L 154.8 ¢ to 192.0 ¢
5-mosstep Perfect 5-mosstep P5ms 4L + s 192.0 ¢ to 193.5 ¢
Augmented 5-mosstep A5ms 5L 193.5 ¢ to 240.0 ¢
6-mosstep Minor 6-mosstep m6ms 4L + 2s 192.0 ¢ to 232.3 ¢
Major 6-mosstep M6ms 5L + s 232.3 ¢ to 240.0 ¢
7-mosstep Minor 7-mosstep m7ms 5L + 2s 240.0 ¢ to 271.0 ¢
Major 7-mosstep M7ms 6L + s 271.0 ¢ to 288.0 ¢
8-mosstep Minor 8-mosstep m8ms 6L + 2s 288.0 ¢ to 309.7 ¢
Major 8-mosstep M8ms 7L + s 309.7 ¢ to 336.0 ¢
9-mosstep Minor 9-mosstep m9ms 7L + 2s 336.0 ¢ to 348.4 ¢
Major 9-mosstep M9ms 8L + s 348.4 ¢ to 384.0 ¢
10-mosstep Minor 10-mosstep m10ms 8L + 2s 384.0 ¢ to 387.1 ¢
Major 10-mosstep M10ms 9L + s 387.1 ¢ to 432.0 ¢
11-mosstep Minor 11-mosstep m11ms 8L + 3s 384.0 ¢ to 425.8 ¢
Major 11-mosstep M11ms 9L + 2s 425.8 ¢ to 432.0 ¢
12-mosstep Minor 12-mosstep m12ms 9L + 3s 432.0 ¢ to 464.5 ¢
Major 12-mosstep M12ms 10L + 2s 464.5 ¢ to 480.0 ¢
13-mosstep Minor 13-mosstep m13ms 10L + 3s 480.0 ¢ to 503.2 ¢
Major 13-mosstep M13ms 11L + 2s 503.2 ¢ to 528.0 ¢
14-mosstep Minor 14-mosstep m14ms 11L + 3s 528.0 ¢ to 541.9 ¢
Major 14-mosstep M14ms 12L + 2s 541.9 ¢ to 576.0 ¢
15-mosstep Minor 15-mosstep m15ms 12L + 3s 576.0 ¢ to 580.6 ¢
Major 15-mosstep M15ms 13L + 2s 580.6 ¢ to 624.0 ¢
16-mosstep Minor 16-mosstep m16ms 12L + 4s 576.0 ¢ to 619.4 ¢
Major 16-mosstep M16ms 13L + 3s 619.4 ¢ to 624.0 ¢
17-mosstep Minor 17-mosstep m17ms 13L + 4s 624.0 ¢ to 658.1 ¢
Major 17-mosstep M17ms 14L + 3s 658.1 ¢ to 672.0 ¢
18-mosstep Minor 18-mosstep m18ms 14L + 4s 672.0 ¢ to 696.8 ¢
Major 18-mosstep M18ms 15L + 3s 696.8 ¢ to 720.0 ¢
19-mosstep Minor 19-mosstep m19ms 15L + 4s 720.0 ¢ to 735.5 ¢
Major 19-mosstep M19ms 16L + 3s 735.5 ¢ to 768.0 ¢
20-mosstep Minor 20-mosstep m20ms 16L + 4s 768.0 ¢ to 774.2 ¢
Major 20-mosstep M20ms 17L + 3s 774.2 ¢ to 816.0 ¢
21-mosstep Minor 21-mosstep m21ms 16L + 5s 768.0 ¢ to 812.9 ¢
Major 21-mosstep M21ms 17L + 4s 812.9 ¢ to 816.0 ¢
22-mosstep Minor 22-mosstep m22ms 17L + 5s 816.0 ¢ to 851.6 ¢
Major 22-mosstep M22ms 18L + 4s 851.6 ¢ to 864.0 ¢
23-mosstep Minor 23-mosstep m23ms 18L + 5s 864.0 ¢ to 890.3 ¢
Major 23-mosstep M23ms 19L + 4s 890.3 ¢ to 912.0 ¢
24-mosstep Minor 24-mosstep m24ms 19L + 5s 912.0 ¢ to 929.0 ¢
Major 24-mosstep M24ms 20L + 4s 929.0 ¢ to 960.0 ¢
25-mosstep Minor 25-mosstep m25ms 20L + 5s 960.0 ¢ to 967.7 ¢
Major 25-mosstep M25ms 21L + 4s 967.7 ¢ to 1008.0 ¢
26-mosstep Diminished 26-mosstep d26ms 20L + 6s 960.0 ¢ to 1006.5 ¢
Perfect 26-mosstep P26ms 21L + 5s 1006.5 ¢ to 1008.0 ¢
27-mosstep Minor 27-mosstep m27ms 21L + 6s 1008.0 ¢ to 1045.2 ¢
Major 27-mosstep M27ms 22L + 5s 1045.2 ¢ to 1056.0 ¢
28-mosstep Minor 28-mosstep m28ms 22L + 6s 1056.0 ¢ to 1083.9 ¢
Major 28-mosstep M28ms 23L + 5s 1083.9 ¢ to 1104.0 ¢
29-mosstep Minor 29-mosstep m29ms 23L + 6s 1104.0 ¢ to 1122.6 ¢
Major 29-mosstep M29ms 24L + 5s 1122.6 ¢ to 1152.0 ¢
30-mosstep Minor 30-mosstep m30ms 24L + 6s 1152.0 ¢ to 1161.3 ¢
Major 30-mosstep M30ms 25L + 5s 1161.3 ¢ to 1200.0 ¢
31-mosstep Perfect 31-mosstep P31ms 25L + 6s 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 25L 6s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
26\31 1006.452 193.548 1:1 1.000 Equalized 25L 6s
151\180 1006.667 193.333 6:5 1.200
125\149 1006.711 193.289 5:4 1.250
224\267 1006.742 193.258 9:7 1.286
99\118 1006.780 193.220 4:3 1.333 Supersoft 25L 6s
271\323 1006.811 193.189 11:8 1.375
172\205 1006.829 193.171 7:5 1.400
245\292 1006.849 193.151 10:7 1.429
73\87 1006.897 193.103 3:2 1.500 Soft 25L 6s
266\317 1006.940 193.060 11:7 1.571
193\230 1006.957 193.043 8:5 1.600
313\373 1006.971 193.029 13:8 1.625
120\143 1006.993 193.007 5:3 1.667 Semisoft 25L 6s
287\342 1007.018 192.982 12:7 1.714
167\199 1007.035 192.965 7:4 1.750
214\255 1007.059 192.941 9:5 1.800
47\56 1007.143 192.857 2:1 2.000 Basic 25L 6s
Scales with tunings softer than this are proper
209\249 1007.229 192.771 9:4 2.250
162\193 1007.254 192.746 7:3 2.333
277\330 1007.273 192.727 12:5 2.400
115\137 1007.299 192.701 5:2 2.500 Semihard 25L 6s
298\355 1007.324 192.676 13:5 2.600
183\218 1007.339 192.661 8:3 2.667
251\299 1007.358 192.642 11:4 2.750
68\81 1007.407 192.593 3:1 3.000 Hard 25L 6s
225\268 1007.463 192.537 10:3 3.333
157\187 1007.487 192.513 7:2 3.500
246\293 1007.509 192.491 11:3 3.667
89\106 1007.547 192.453 4:1 4.000 Superhard 25L 6s
199\237 1007.595 192.405 9:2 4.500
110\131 1007.634 192.366 5:1 5.000
131\156 1007.692 192.308 6:1 6.000
21\25 1008.000 192.000 1:0 → ∞ Collapsed 25L 6s


This page is a stub. You can help the Xenharmonic Wiki by expanding it.