25L 6s

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↖24L 5s ↑25L 5s 26L 5s↗
←24L 6s25L 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
Descends from 6L 1s (archaeotonic)
Required step ratio range 4:1 to 5:1
Related MOS scales
Parent 6L 19s
Sister 6L 25s
Daughters 31L 25s, 25L 31s
Neutralized 19L 12s
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¢)

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¢.

Modes

Modes of 25L 6s
UDP Rotational order Step pattern
30|0 1 LLLLLsLLLLsLLLLsLLLLsLLLLsLLLLs
29|1 27 LLLLsLLLLLsLLLLsLLLLsLLLLsLLLLs
28|2 22 LLLLsLLLLsLLLLLsLLLLsLLLLsLLLLs
27|3 17 LLLLsLLLLsLLLLsLLLLLsLLLLsLLLLs
26|4 12 LLLLsLLLLsLLLLsLLLLsLLLLLsLLLLs
25|5 7 LLLLsLLLLsLLLLsLLLLsLLLLsLLLLLs
24|6 2 LLLLsLLLLsLLLLsLLLLsLLLLsLLLLsL
23|7 28 LLLsLLLLLsLLLLsLLLLsLLLLsLLLLsL
22|8 23 LLLsLLLLsLLLLLsLLLLsLLLLsLLLLsL
21|9 18 LLLsLLLLsLLLLsLLLLLsLLLLsLLLLsL
20|10 13 LLLsLLLLsLLLLsLLLLsLLLLLsLLLLsL
19|11 8 LLLsLLLLsLLLLsLLLLsLLLLsLLLLLsL
18|12 3 LLLsLLLLsLLLLsLLLLsLLLLsLLLLsLL
17|13 29 LLsLLLLLsLLLLsLLLLsLLLLsLLLLsLL
16|14 24 LLsLLLLsLLLLLsLLLLsLLLLsLLLLsLL
15|15 19 LLsLLLLsLLLLsLLLLLsLLLLsLLLLsLL
14|16 14 LLsLLLLsLLLLsLLLLsLLLLLsLLLLsLL
13|17 9 LLsLLLLsLLLLsLLLLsLLLLsLLLLLsLL
12|18 4 LLsLLLLsLLLLsLLLLsLLLLsLLLLsLLL
11|19 30 LsLLLLLsLLLLsLLLLsLLLLsLLLLsLLL
10|20 25 LsLLLLsLLLLLsLLLLsLLLLsLLLLsLLL
9|21 20 LsLLLLsLLLLsLLLLLsLLLLsLLLLsLLL
8|22 15 LsLLLLsLLLLsLLLLsLLLLLsLLLLsLLL
7|23 10 LsLLLLsLLLLsLLLLsLLLLsLLLLLsLLL
6|24 5 LsLLLLsLLLLsLLLLsLLLLsLLLLsLLLL
5|25 31 sLLLLLsLLLLsLLLLsLLLLsLLLLsLLLL
4|26 26 sLLLLsLLLLLsLLLLsLLLLsLLLLsLLLL
3|27 21 sLLLLsLLLLsLLLLLsLLLLsLLLLsLLLL
2|28 16 sLLLLsLLLLsLLLLsLLLLLsLLLLsLLLL
1|29 11 sLLLLsLLLLsLLLLsLLLLsLLLLLsLLLL
0|30 6 sLLLLsLLLLsLLLLsLLLLsLLLLsLLLLL

Scale tree

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
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