5L 12s
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Scale structure
Step pattern
LssLssLsssLssLsss
sssLssLsssLssLssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
10\17 to 3\5 (705.9¢ to 720.0¢)
Dark
2\5 to 7\17 (480.0¢ to 494.1¢)
TAMNAMS information
Descends from
5L 2s (diatonic)
Ancestor's step ratio range
3:1 to 1:0 (hard)
Related MOS scales
Parent
5L 7s
Sister
12L 5s
Daughters
17L 5s, 5L 17s
Neutralized
10L 7s
2-Flought
22L 12s, 5L 29s
Equal tunings
Equalized (L:s = 1:1)
10\17 (705.9¢)
Supersoft (L:s = 4:3)
33\56 (707.1¢)
Soft (L:s = 3:2)
23\39 (707.7¢)
Semisoft (L:s = 5:3)
36\61 (708.2¢)
Basic (L:s = 2:1)
13\22 (709.1¢)
Semihard (L:s = 5:2)
29\49 (710.2¢)
Hard (L:s = 3:1)
16\27 (711.1¢)
Superhard (L:s = 4:1)
19\32 (712.5¢)
Collapsed (L:s = 1:0)
3\5 (720.0¢)
↖ 4L 11s | ↑ 5L 11s | 6L 11s ↗ |
← 4L 12s | 5L 12s | 6L 12s → |
↙ 4L 13s | ↓ 5L 13s | 6L 13s ↘ |
┌╥┬┬╥┬┬╥┬┬┬╥┬┬╥┬┬┬┐ │║││║││║│││║││║││││ │││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssLssLsssLssLssL
5L 12s, also called s-enharmonic, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 12 small steps, repeating every octave. 5L 12s is a grandchild scale of 5L 2s, expanding it by 10 tones. Generators that produce this scale range from 705.9¢ to 720¢, or from 480¢ to 494.1¢. This scale is characterized by having a diesis (the difference between a large step and two small steps) that is larger than the chroma.
The supra/quasisuper version is proper, but the superpyth/ultrapyth version is improper (it does not become proper until you add 5 more notes to form the superpyth 22-note scale).
Modes
UDP | Cyclic Order |
Step Pattern |
---|---|---|
16|0 | 1 | LssLssLsssLssLsss |
15|1 | 11 | LssLsssLssLssLsss |
14|2 | 4 | LssLsssLssLsssLss |
13|3 | 14 | LsssLssLssLsssLss |
12|4 | 7 | LsssLssLsssLssLss |
11|5 | 17 | sLssLssLsssLssLss |
10|6 | 10 | sLssLsssLssLssLss |
9|7 | 3 | sLssLsssLssLsssLs |
8|8 | 13 | sLsssLssLssLsssLs |
7|9 | 6 | sLsssLssLsssLssLs |
6|10 | 16 | ssLssLssLsssLssLs |
5|11 | 9 | ssLssLsssLssLssLs |
4|12 | 2 | ssLssLsssLssLsssL |
3|13 | 12 | ssLsssLssLssLsssL |
2|14 | 5 | ssLsssLssLsssLssL |
1|15 | 15 | sssLssLssLsssLssL |
0|16 | 8 | sssLssLsssLssLssL |
Scale tree
Generator(edo) | Cents | Step Ratio | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
10\17 | 705.882 | 494.118 | 1:1 | 1.000 | Equalized 5L 12s | |||||
53\90 | 706.667 | 493.333 | 6:5 | 1.200 | ||||||
43\73 | 706.849 | 493.151 | 5:4 | 1.250 | ||||||
76\129 | 706.977 | 493.023 | 9:7 | 1.286 | ||||||
33\56 | 707.143 | 492.857 | 4:3 | 1.333 | Supersoft 5L 12s Supra | |||||
89\151 | 707.285 | 492.715 | 11:8 | 1.375 | ||||||
56\95 | 707.368 | 492.632 | 7:5 | 1.400 | ||||||
79\134 | 707.463 | 492.537 | 10:7 | 1.429 | ||||||
23\39 | 707.692 | 492.308 | 3:2 | 1.500 | Soft 5L 12s | |||||
82\139 | 707.914 | 492.086 | 11:7 | 1.571 | ||||||
59\100 | 708.000 | 492.000 | 8:5 | 1.600 | ||||||
95\161 | 708.075 | 491.925 | 13:8 | 1.625 | Golden supra (708.0539¢) | |||||
36\61 | 708.197 | 491.803 | 5:3 | 1.667 | Semisoft 5L 12s Quasisuper / quasisupra | |||||
85\144 | 708.333 | 491.667 | 12:7 | 1.714 | ||||||
49\83 | 708.434 | 491.566 | 7:4 | 1.750 | ||||||
62\105 | 708.571 | 491.429 | 9:5 | 1.800 | ||||||
13\22 | 709.091 | 490.909 | 2:1 | 2.000 | Basic 5L 12s Scales with tunings softer than this are proper | |||||
55\93 | 709.677 | 490.323 | 9:4 | 2.250 | ||||||
42\71 | 709.859 | 490.141 | 7:3 | 2.333 | ||||||
71\120 | 710.000 | 490.000 | 12:5 | 2.400 | ||||||
29\49 | 710.204 | 489.796 | 5:2 | 2.500 | Semihard 5L 12s Superpyth | |||||
74\125 | 710.400 | 489.600 | 13:5 | 2.600 | Golden superpyth (710.4345¢) | |||||
45\76 | 710.526 | 489.474 | 8:3 | 2.667 | ||||||
61\103 | 710.680 | 489.320 | 11:4 | 2.750 | ||||||
16\27 | 711.111 | 488.889 | 3:1 | 3.000 | Hard 5L 12s | |||||
51\86 | 711.628 | 488.372 | 10:3 | 3.333 | ||||||
35\59 | 711.864 | 488.136 | 7:2 | 3.500 | Quasiultra | |||||
54\91 | 712.088 | 487.912 | 11:3 | 3.667 | ||||||
19\32 | 712.500 | 487.500 | 4:1 | 4.000 | Superhard 5L 12s | |||||
41\69 | 713.043 | 486.957 | 9:2 | 4.500 | ||||||
22\37 | 713.514 | 486.486 | 5:1 | 5.000 | Oceanfront / ultrapyth | |||||
25\42 | 714.286 | 485.714 | 6:1 | 6.000 | ↓ Hemiseven | |||||
3\5 | 720.000 | 480.000 | 1:0 | → ∞ | Collapsed 5L 12s |