Monotonicity limits of small EDOs
An edo N is monotone with respect to a set of rational numbers S if there exists a mapping for N that preserves each elements's size order. If S is the q-odd-limit diamond, we say N is q-odd-limit monotone. Below is a table of every edo up to 41.
| EDO | Monotonicity Level |
Associated Vals |
|---|---|---|
| 1 | 3 | 1 |
| 2 | 5 | 2 |
| 3 | 5 | 3 |
| 4 | 7 | 4 |
| 5 | 9 | 5 |
| 6 | 7 | 6 |
| 7 | 5 | 7 or 7c |
| 8 | 7 | 8d |
| 9 | 7 | 9 |
| 10 | 9 | 10 or 10c [5] |
| 11 | 7 | 11b |
| 12 | 11 | 12 |
| 13 | 7 | 13b |
| 14 | 13 | 14c |
| 15 | 13 | 15 |
| 16 | 7 | 16 |
| 17 | 15 | 17c |
| 18 | 7 | 18 or 18bd [9] |
| 19 | 17 | 19 |
| 20 | 9 | 20c |
| 21 | 7 | 21 |
| 22 | 15 | 22f |
| 23 | 7 | 23bc |
| 24 | 13 | 24 |
| 25 | 9 | 25 or 25c |
| 26 | 13 | 26 |
| 27 | 15 | 27e |
| 28 | 13 | 28ccde [14c] |
| 29 | 15 | 29 |
| 30 | 13 | 30f [15] |
| 31 | 17 | 31 |
| 32 | 13 | 32cf |
| 33 | 13 | 33cd |
| 34 | 19 | 34d |
| 35 | 9 | 35b, 35bc, etc. |
| 36 | 15 | 36 |
| 37 | 15 | 37 |
| 38 | 19 | 38df |
| 39 | 15 | 39df |
| 40 | 13 | 40c |
| 41 | 21 | 41 |