11L 1s: Difference between revisions
m →Scale tree: + link to ripple |
→Scale tree: Replaced scale tree, where ripple falls in scale tree may need clarification |
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{{MOS modes}} | {{MOS modes}} | ||
== Scale tree == | == Scale tree == | ||
{| | {{Scale tree|Comments=1/1: [[Ripple]] (for generators approaching this value)}} | ||
[[Category:12-tone scales]] | [[Category:12-tone scales]] | ||
Revision as of 00:26, 19 February 2024
| ← 10L 1s | 11L 1s | 12L 1s → |
| ↙ 10L 2s | ↓ 11L 2s | 12L 2s ↘ |
┌╥╥╥╥╥╥╥╥╥╥╥┬┐ │║║║║║║║║║║║││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLLLLLLLLLL
11L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 1 small step, repeating every octave. 11L 1s is a grandchild scale of 1L 9s, expanding it by 2 tones. Generators that produce this scale range from 100 ¢ to 109.1 ¢, or from 1090.9 ¢ to 1100 ¢. Scales of this form are always proper because there is only one small step. The 11L 1s MOS scale, with its diatonic minor second generator, is the dodecatonic scale of ripple (9:8 = +2 generators-6:5 = +3 generators) temperaments. However, it feels markedly more hendecatonic to listeners used to the equally divided chromatic scale because of its unbroken chain of eleven equal steps–never mind that the 12th degree is actually less than the octave. This hendecatonic feel is especially pronounced above 2\23, where the octave feels like a comma shift of the 12th degree rather than an independent note.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 11|0 | 1 | LLLLLLLLLLLs |
| 10|1 | 2 | LLLLLLLLLLsL |
| 9|2 | 3 | LLLLLLLLLsLL |
| 8|3 | 4 | LLLLLLLLsLLL |
| 7|4 | 5 | LLLLLLLsLLLL |
| 6|5 | 6 | LLLLLLsLLLLL |
| 5|6 | 7 | LLLLLsLLLLLL |
| 4|7 | 8 | LLLLsLLLLLLL |
| 3|8 | 9 | LLLsLLLLLLLL |
| 2|9 | 10 | LLsLLLLLLLLL |
| 1|10 | 11 | LsLLLLLLLLLL |
| 0|11 | 12 | sLLLLLLLLLLL |