Monotonicity limits of small EDOs: Difference between revisions

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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 [[Odd limit|''q''-odd-limit]] diamond, we say ''N'' is ''q''-odd-limit monotone. Below is a table of every edo up to 41.  
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 [[Odd limit|''q''-odd-limit]] diamond, we say ''N'' is ''q''-odd-limit monotone. Below is a table of every edo up to 53.  


{| class="wikitable sortable mw-collapsible right-all left-3"
{| class="wikitable sortable mw-collapsible right-all left-3"
Line 88: Line 88:
|-
|-
| 41 || 21 || 41
| 41 || 21 || 41
|-
| 42 || 13 || 42ef
|-
| 43 || 17 || 43
|-
| 44 || 19 || 44
|-
| 45 || 13 || 45ef
|-
| 46 || 17 || 46
|-
| 47 || 13 || 47ccde or 47bcff
|-
| 48 || 21 || 48c
|-
| 49 || 15 || 49f
|-
| 50 || 19 || 50
|-
| 51 || 15 || 51
|-
| 52 || 13 || 52c [26]
|-
| 53 || 23 || 53e
|}
|}


Revision as of 16:40, 9 October 2021

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 53.

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
42 13 42ef
43 17 43
44 19 44
45 13 45ef
46 17 46
47 13 47ccde or 47bcff
48 21 48c
49 15 49f
50 19 50
51 15 51
52 13 52c [26]
53 23 53e

See also

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