6L 25s
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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
Descends from
6L 1s (archaeotonic)
Required step ratio range
5:1 to 1:0
Related MOS scales
Parent
6L 19s
Sister
25L 6s
Daughters
31L 6s
6L 31s
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¢)
| ↖5L 24s | ↑6L 24s | 7L 24s↗ |
| ←5L 25s | 6L 25s | 7L 25s→ |
| ↙5L 26s | ↓6L 26s | 7L 26s↘ |
┌╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬┬┐ │║││││║││││║││││║││││║││││║││││││ │││││││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssssLssssLssssLssssLssssLssssL
6L 31s
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¢.
Modes
| UDP | Rotational order | Step pattern |
|---|---|---|
| 30|0 | 1 | LssssLssssLssssLssssLssssLsssss |
| 29|1 | 6 | LssssLssssLssssLssssLsssssLssss |
| 28|2 | 11 | LssssLssssLssssLsssssLssssLssss |
| 27|3 | 16 | LssssLssssLsssssLssssLssssLssss |
| 26|4 | 21 | LssssLsssssLssssLssssLssssLssss |
| 25|5 | 26 | LsssssLssssLssssLssssLssssLssss |
| 24|6 | 31 | sLssssLssssLssssLssssLssssLssss |
| 23|7 | 5 | sLssssLssssLssssLssssLsssssLsss |
| 22|8 | 10 | sLssssLssssLssssLsssssLssssLsss |
| 21|9 | 15 | sLssssLssssLsssssLssssLssssLsss |
| 20|10 | 20 | sLssssLsssssLssssLssssLssssLsss |
| 19|11 | 25 | sLsssssLssssLssssLssssLssssLsss |
| 18|12 | 30 | ssLssssLssssLssssLssssLssssLsss |
| 17|13 | 4 | ssLssssLssssLssssLssssLsssssLss |
| 16|14 | 9 | ssLssssLssssLssssLsssssLssssLss |
| 15|15 | 14 | ssLssssLssssLsssssLssssLssssLss |
| 14|16 | 19 | ssLssssLsssssLssssLssssLssssLss |
| 13|17 | 24 | ssLsssssLssssLssssLssssLssssLss |
| 12|18 | 29 | sssLssssLssssLssssLssssLssssLss |
| 11|19 | 3 | sssLssssLssssLssssLssssLsssssLs |
| 10|20 | 8 | sssLssssLssssLssssLsssssLssssLs |
| 9|21 | 13 | sssLssssLssssLsssssLssssLssssLs |
| 8|22 | 18 | sssLssssLsssssLssssLssssLssssLs |
| 7|23 | 23 | sssLsssssLssssLssssLssssLssssLs |
| 6|24 | 28 | ssssLssssLssssLssssLssssLssssLs |
| 5|25 | 2 | ssssLssssLssssLssssLssssLsssssL |
| 4|26 | 7 | ssssLssssLssssLssssLsssssLssssL |
| 3|27 | 12 | ssssLssssLssssLsssssLssssLssssL |
| 2|28 | 17 | ssssLssssLsssssLssssLssssLssssL |
| 1|29 | 22 | ssssLsssssLssssLssssLssssLssssL |
| 0|30 | 27 | sssssLssssLssssLssssLssssLssssL |
Scale tree
| 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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