3L 16s: Difference between revisions
Jump to navigation
Jump to search
ArrowHead294 (talk | contribs) mNo edit summary |
put todo back |
||
| Line 7: | Line 7: | ||
== Scale tree == | == Scale tree == | ||
{{Scale tree|depth=5|Comments=11/8:[[Witchcraft]]; 3/2:[[Magic]] is around here; 13/8:[[Necromancy]]<br>Golden magic (380.8191¢); 12/5:[[Marveltri]] is around here; 13/5:Unnamed golden tuning (383.2314¢); 9/2:[[Sulis]]; 5/1:[[Grendel]]/[[Würschmidt]]}} | {{Todo|review|inline=1|text=Review entries from past page revision and enter them into the scale tree.}}{{Scale tree|depth=5|Comments=11/8:[[Witchcraft]]; 3/2:[[Magic]] is around here; 13/8:[[Necromancy]]<br>Golden magic (380.8191¢); 12/5:[[Marveltri]] is around here; 13/5:Unnamed golden tuning (383.2314¢); 9/2:[[Sulis]]; 5/1:[[Grendel]]/[[Würschmidt]]}} | ||
[[Category:19-tone scales]] | [[Category:19-tone scales]] | ||
[[Category:Magic]] | [[Category:Magic]] | ||
Revision as of 22:34, 22 September 2024
| ↖ 2L 15s | ↑ 3L 15s | 4L 15s ↗ |
| ← 2L 16s | 3L 16s | 4L 16s → |
| ↙ 2L 17s | ↓ 3L 17s | 4L 17s ↘ |
┌╥┬┬┬┬┬╥┬┬┬┬┬╥┬┬┬┬┬┬┐ │║│││││║│││││║│││││││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
ssssssLsssssLsssssL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
3L 16s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 16 small steps, repeating every octave. 3L 16s is a great-grandchild scale of 3L 7s, expanding it by 9 tones. Generators that produce this scale range from 378.9 ¢ to 400 ¢, or from 800 ¢ to 821.1 ¢. This scale is associated with magic temperament, where 5 bright generators maps to 3/1, and würschmidt temperament, where the generator is 5/4.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 18|0 | 1 | LsssssLsssssLssssss |
| 17|1 | 7 | LsssssLssssssLsssss |
| 16|2 | 13 | LssssssLsssssLsssss |
| 15|3 | 19 | sLsssssLsssssLsssss |
| 14|4 | 6 | sLsssssLssssssLssss |
| 13|5 | 12 | sLssssssLsssssLssss |
| 12|6 | 18 | ssLsssssLsssssLssss |
| 11|7 | 5 | ssLsssssLssssssLsss |
| 10|8 | 11 | ssLssssssLsssssLsss |
| 9|9 | 17 | sssLsssssLsssssLsss |
| 8|10 | 4 | sssLsssssLssssssLss |
| 7|11 | 10 | sssLssssssLsssssLss |
| 6|12 | 16 | ssssLsssssLsssssLss |
| 5|13 | 3 | ssssLsssssLssssssLs |
| 4|14 | 9 | ssssLssssssLsssssLs |
| 3|15 | 15 | sssssLsssssLsssssLs |
| 2|16 | 2 | sssssLsssssLssssssL |
| 1|17 | 8 | sssssLssssssLsssssL |
| 0|18 | 14 | ssssssLsssssLsssssL |
Scale tree
|
Todo: review Review entries from past page revision and enter them into the scale tree. |