11-odd-limit: Difference between revisions
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== See also == | |||
* [[11-limit]] ([[prime limit]]) | |||
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{{todo|add introduction}} | {{todo|add introduction}} | ||
Revision as of 15:40, 13 September 2023
The 11-odd-limit is the set of all rational intervals which can be written as 2k(a/b) where a, b ≤ 11 and k is an integer. To the 9-odd-limit, it adds 5 pairs of octave-reduced intervals involving 11.
Below is a list of all octave-reduced intervals in the 11-odd-limit.
- 1/1
- 12/11, 11/6
- 11/10, 20/11
- 10/9, 9/5
- 9/8, 16/9
- 8/7, 7/4
- 7/6, 12/7
- 6/5, 5/3
- 11/9, 18/11
- 5/4, 8/5
- 14/11, 11/7
- 9/7, 14/9
- 4/3, 3/2
- 11/8, 16/11
- 7/5, 10/7
| Ratio | Size (¢) | Color name | Name | |
|---|---|---|---|---|
| 12/11 | 150.637 | 1u2 | lu 2nd | lesser undecimal neutral second |
| 11/10 | 165.004 | 1og2 | logu 2nd | greater undecimal neutral second |
| 11/9 | 347.408 | 1o3 | ilo 3rd | undecimal neutral third |
| 14/11 | 417.508 | 1uz4 | luzo 4th | undecimal major third |
| 11/8 | 551.318 | 1o4 | ilo 4th | undecimal super-fourth |
| 16/11 | 648.682 | 1u5 | lu 5th | undecimal sub-fifth |
| 11/7 | 782.492 | 1or5 | loru 5th | undecimal minor sixth |
| 18/11 | 852.592 | 1u6 | lu 6th | undecimal neutral sixth |
| 20/11 | 1034.996 | 1uy7 | luyo 7th | lesser undecimal neutral seventh |
| 11/6 | 1049.363 | 1o7 | ilo 7th | greater undecimal neutral seventh |