Monotonicity limits of small EDOs: Difference between revisions

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An [[edo]] ''N'' is [[diamond monotone|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 72.  
An [[edo]] ''N'' is [[diamond monotone|monotone]] with respect to a set of rational intervals ''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 99.  


{| class="wikitable sortable mw-collapsible right-all left-3"
{| class="wikitable sortable mw-collapsible right-all left-3"
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| 19 || 17 || 19
| 19 || 17 || 19
|-
|-
| 20 || 9 || 20c
| 20 || 9 || 20 [10], 20c or 20ccc [5]
|-
|-
| 21 || 7 || 21
| 21 || 7 || 21
Line 55: Line 55:
| 24 || 13 || 24
| 24 || 13 || 24
|-
|-
| 25 || 9 || 25 or 25c
| 25 || 9 || 25, 25c or 25ccc [5]
|-
|-
| 26 || 13 || 26
| 26 || 13 || 26
Line 95: Line 95:
| 44 || 19 || 44
| 44 || 19 || 44
|-
|-
| 45 || 13 || 45ef
| 45 || 13 || 45ef or 45bcff [15]
|-
|-
| 46 || 17 || 46
| 46 || 17 || 46
Line 107: Line 107:
| 50 || 19 || 50
| 50 || 19 || 50
|-
|-
| 51 || 15 || 51
| 51 || 15 || 51, 51cde or 51cccde [17c]
|-
|-
| 52 || 13 || 52c [26]
| 52 || 13 || 52c [26]
Line 143: Line 143:
| 68 || 27 || 68e
| 68 || 27 || 68e
|-
|-
| 69 || 17 || 69de, 69d, or 69dg
| 69 || 17 || 69d, 69dg or 69de
|-
|-
| 70 || 21 || 70cd
| 70 || 21 || 70cd
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|-
|-
| 72 || 29 || 72
| 72 || 29 || 72
|-
| 73 || 15 || 73 or 73ce
|-
| 74 || 19 || 74
|-
| 75 || 17 || 75e
|-
| 76 || 19 || 76ddeffgh [38df]
|-
| 77 || 29 || 77
|-
| 78 || 19 || 78h
|-
| 79 || 19 || 79dh
|-
| 80 || 19 || 80
|-
| 81 || 17 || 81 or 81f
|-
| 82 || 23 || 82
|-
| 83 || 15 || 83
|-
| 84 || 25 || 84
|-
| 85 || 15 || 85c, 85ce, etc.
|-
| 86 || 17 || 86 [43] or 86d
|-
| 87 || 21 || 87
|-
| 88 || 19 || 88ddfgh or 88bd [44]
|-
| 89 || 23 || 89 or 89f
|-
| 90 || 19 || 90e
|-
| 91 || 19 || 91fh or 91efh
|-
| 92 || 19 || 92def
|-
| 93 || 17 || 93 or 93e
|-
| 94 || 23 || 94
|-
| 95 || 17 || 95bcdddfffg or 95bcdddeefffggg [19]
|-
| 96 || 21 || 96ccf [48c]
|-
| 97 || 23 || 97g
|-
| 98 || 19 || 98g
|-
| 99 || 31 || 99efk
|}
|}


Revision as of 11:01, 13 October 2026

An edo N is monotone with respect to a set of rational intervals 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 99.

Edo Monotonicity
limit 		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 20 [10], 20c or 20ccc [5]
21 7 21
22 15 22f
23 7 23bc
24 13 24
25 9 25, 25c or 25ccc [5]
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 or 45bcff [15]
46 17 46
47 13 47ccde or 47bcff
48 21 48c
49 15 49f
50 19 50
51 15 51, 51cde or 51cccde [17c]
52 13 52c [26]
53 23 53e
54 15 54c or 54cee [27e]
55 17 55f
56 21 56
57 17 57ddf or 57ddefgg [19]
58 23 58hi
59 15 59f
60 23 60e
61 15 61d
62 25 62
63 19 63
64 15 64be
65 25 65d
66 15 66 or 66cdef
67 17 67
68 27 68e
69 17 69d, 69dg or 69de
70 21 70cd
71 15 71d
72 29 72
73 15 73 or 73ce
74 19 74
75 17 75e
76 19 76ddeffgh [38df]
77 29 77
78 19 78h
79 19 79dh
80 19 80
81 17 81 or 81f
82 23 82
83 15 83
84 25 84
85 15 85c, 85ce, etc.
86 17 86 [43] or 86d
87 21 87
88 19 88ddfgh or 88bd [44]
89 23 89 or 89f
90 19 90e
91 19 91fh or 91efh
92 19 92def
93 17 93 or 93e
94 23 94
95 17 95bcdddfffg or 95bcdddeefffggg [19]
96 21 96ccf [48c]
97 23 97g
98 19 98g
99 31 99efk
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