5L 16s
↖ 4L 15s | ↑ 5L 15s | 6L 15s ↗ |
← 4L 16s | 5L 16s | 6L 16s → |
↙ 4L 17s | ↓ 5L 17s | 6L 17s ↘ |
┌╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬┬┐ │║│││║│││║│││║│││║│││││ │││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
ssssLsssLsssLsssLsssL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
5L 16s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 16 small steps, repeating every octave. 5L 16s is a great-grandchild scale of 5L 1s, expanding it by 15 tones. Generators that produce this scale range from 228.6 ¢ to 240 ¢, or from 960 ¢ to 971.4 ¢.
This is the MOS which splits its small steps 3-3-3-3-4 between its large steps. Its "diatonic" whole tone/supermajor second generator measures no less than 4/21edo (228.571 cents), meaning 8/7 is less than the boundary of "practicality" for it (which is at 31edo).
Modes
UDP | Cyclic order |
Step pattern |
---|---|---|
20|0 | 1 | LsssLsssLsssLsssLssss |
19|1 | 5 | LsssLsssLsssLssssLsss |
18|2 | 9 | LsssLsssLssssLsssLsss |
17|3 | 13 | LsssLssssLsssLsssLsss |
16|4 | 17 | LssssLsssLsssLsssLsss |
15|5 | 21 | sLsssLsssLsssLsssLsss |
14|6 | 4 | sLsssLsssLsssLssssLss |
13|7 | 8 | sLsssLsssLssssLsssLss |
12|8 | 12 | sLsssLssssLsssLsssLss |
11|9 | 16 | sLssssLsssLsssLsssLss |
10|10 | 20 | ssLsssLsssLsssLsssLss |
9|11 | 3 | ssLsssLsssLsssLssssLs |
8|12 | 7 | ssLsssLsssLssssLsssLs |
7|13 | 11 | ssLsssLssssLsssLsssLs |
6|14 | 15 | ssLssssLsssLsssLsssLs |
5|15 | 19 | sssLsssLsssLsssLsssLs |
4|16 | 2 | sssLsssLsssLsssLssssL |
3|17 | 6 | sssLsssLsssLssssLsssL |
2|18 | 10 | sssLsssLssssLsssLsssL |
1|19 | 14 | sssLssssLsssLsssLsssL |
0|20 | 18 | ssssLsssLsssLsssLsssL |
Tuning spectrum
1/5 | 240 | ||||
8/41 | 234.146 | ||||
7/36 | 233.333 | ||||
13/67 | 232.836 | ||||
232.431 | |||||
6/31 | 232.258 | ||||
231.8895 | |||||
17/88 | 231.818 | ||||
231.75 | |||||
11/57 | 231.578 | ||||
16/83 | 231.325 | ||||
5/26 | 230.769 | ||||
19/99 | 230.303 | ||||
230.268 | |||||
14/73 | 230.137 | ||||
230.037 | |||||
23/120 | 230 | ||||
229.939 | |||||
9/47 | 229.787 | ||||
22/115 | 229.565 | ||||
13/68 | 229.412 | ||||
17/89 | 229.2135 | ||||
4/21 | 228.571 |