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)
Required step ratio range
3:1 to 1:0 (hard)
Related MOS scales
Parent
5L 7s
Sister
12L 5s
Daughters
17L 5s
5L 17s
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¢)
Todo: review
Adopt scale tree template, review entries
| ↖4L 11s | ↑5L 11s | 6L 11s↗ |
| ←4L 12s | 5L 12s | 6L 12s→ |
| ↙4L 13s | ↓5L 13s | 6L 13s↘ |
┌╥┬┬╥┬┬╥┬┬┬╥┬┬╥┬┬┬┐ │║││║││║│││║││║││││ │││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssLssLsssLssLssL
5L 17s
5L 12s 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
- 16|0 LssLssLsssLssLsss
- 15|1 LssLsssLssLssLsss
- 14|2 LssLsssLssLsssLss
- 13|3 LsssLssLssLsssLss
- 12|4 LsssLssLsssLssLss
- 11|5 sLssLssLsssLssLss
- 10|6 sLssLsssLssLssLss
- 9|7 sLssLsssLssLsssLs
- 8|8 sLsssLssLssLsssLs
- 7|9 sLsssLssLsssLssLs
- 6|10 ssLssLssLsssLssLs
- 5|11 ssLssLsssLssLssLs
- 4|12 ssLssLsssLssLsssL
- 3|13 ssLsssLssLssLsssL
- 2|14 ssLsssLssLsssLssL
- 1|15 sssLssLssLsssLssL
- 0|16 sssLssLsssLssLssL
Scale tree
Generator ranges:
- Chroma-positive generator: 705.8824 cents (10\17) to 720 cents (3\5)
- Chroma-negative generator: 480 cents (2\5) to 494.1176 cents (7\17)
| Generator | Cents | L | s | L/s | Comments | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| 10\17 | 705.882 | 1 | 1 | 1.000 | ||||||
| 53\90 | 706.667 | 6 | 5 | 1.200 | ||||||
| 43\73 | 706.849 | 5 | 4 | 1.250 | ||||||
| 76\129 | 706.977 | 9 | 7 | 1.286 | ||||||
| 33\56 | 707.143 | 4 | 3 | 1.333 | Supra | |||||
| 89\151 | 707.285 | 11 | 8 | 1.375 | ||||||
| 56\95 | 707.368 | 7 | 5 | 1.400 | ||||||
| 79\134 | 707.463 | 10 | 7 | 1.428 | ||||||
| 23\39 | 707.692 | 3 | 2 | 1.500 | ||||||
| 82\139 | 707.914 | 11 | 7 | 1.571 | ||||||
| 59\100 | 708.000 | 8 | 5 | 1.600 | ||||||
| 95\161 | 708.075 | 13 | 8 | 1.625 | Golden supra (708.0539¢) | |||||
| 36\61 | 708.197 | 5 | 3 | 1.667 | Quasisuper / quasisupra | |||||
| 85\144 | 708.333 | 12 | 7 | 1.714 | ||||||
| 49\83 | 708.434 | 7 | 4 | 1.750 | ||||||
| 62\105 | 708.571 | 9 | 5 | 1.800 | ||||||
| 13\22 | 709.091 | 2 | 1 | 2.000 | Basic 5L 12s (Generators smaller than this are proper) | |||||
| 55\93 | 709.677 | 9 | 4 | 2.250 | ||||||
| 42\71 | 709.859 | 7 | 3 | 2.333 | ||||||
| 71\120 | 710.000 | 12 | 5 | 2.400 | ||||||
| 29\49 | 710.204 | 5 | 2 | 2.500 | Superpyth | |||||
| 74\125 | 710.400 | 13 | 5 | 2.600 | Golden superpyth (710.4345¢) | |||||
| 45\76 | 710.526 | 8 | 3 | 2.667 | ||||||
| 61\103 | 710.680 | 11 | 4 | 2.750 | ||||||
| 16\27 | 711.111 | 3 | 1 | 3.000 | ||||||
| 51\86 | 711.628 | 10 | 3 | 3.333 | ||||||
| 35\59 | 711.864 | 7 | 2 | 3.500 | ||||||
| 54\91 | 712.088 | 11 | 3 | 3.667 | ||||||
| 19\32 | 712.500 | 4 | 1 | 4.000 | ||||||
| 41\69 | 713.043 | 9 | 2 | 4.500 | ||||||
| 22\37 | 713.514 | 5 | 1 | 5.000 | Oceanfront / Ultrapyth | |||||
| 25\42 | 714.286 | 6 | 1 | 6.000 | Hemiseven↓ | |||||
| 3\5 | 720.000 | 1 | 0 | → inf | ||||||