13-odd-limit
This is a list of 13-odd-limit intervals. To 11-odd-limit, it adds 6 interval pairs involving 13.
- 1/1
- 14/13, 13/7
- 13/12, 24/13
- 12/11, 11/6
- 11/10, 20/11
- 10/9, 9/5
- 9/8, 16/9
- 8/7, 7/4
- 7/6, 12/7
- 13/11, 22/13
- 6/5, 5/3
- 11/9, 18/11
- 16/13, 13/8
- 5/4, 8/5
- 14/11, 11/7
- 9/7, 14/9
- 13/10, 20/13
- 4/3, 3/2
- 11/8, 16/11
- 18/13, 13/9
- 7/5, 10/7
| Ratio | Size (¢) | Color name | Name | |
|---|---|---|---|---|
| 14/13 | 128.298 | 3uz2 | thuzo 2nd | tridecimal large semitone |
| 13/12 | 138.573 | 3o2 | tho 2nd | tridecimal supraminor second / tridecimal sub-neutral second |
| 13/11 | 289.210 | 3o1u3 | tholu 3rd | tridecimal minor third |
| 16/13 | 359.472 | 3u3 | thu 3rd | tridecimal supra-neutral third |
| 13/10 | 454.214 | 3og4 | thogu 4th | tridecimal sub-fourth / tridecimal third-fourth |
| 18/13 | 563.382 | 3u4 | thu 4th | tridecimal super-fourth |
| 13/9 | 636.618 | 3o5 | tho 5th | tridecimal sub-fifth |
| 20/13 | 745.786 | 3uy5 | thuyo 5th | tridecimal super-fifth / tridecimal fifth-sixth |
| 13/8 | 840.528 | 3o6 | tho 6th | tridecimal sub-neutral sixth |
| 22/13 | 910.790 | 3u1o6 | thulo 6th | tridecimal major sixth |
| 24/13 | 1061.427 | 3u7 | thu 7th | tridecimal supra-neutral seventh |
| 13/7 | 1071.702 | 3or7 | thoru 7th | tridecimal submajor seventh |