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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|33}}
{{EDO intro|33}}
==Theory==
== Theory ==
33edo is not especially good at representing all rational intervals in the [[7-limit]], but it does very well on the 7-limit [[k*N_subgroups|3*33 subgroup]] 2.27.15.21.11.13. On this subgroup it tunes things to the same tuning as [[99edo]], and as a subgroup patent val it tempers out the same commas. The 99 equal temperaments hemififths, amity, parakleismic, hemiwuerschmidt, ennealimmal and hendecatonic can be reduced to this subgroup and give various possibilities for MOS scales, etc. In particular, the [[Chromatic_pairs#Terrain|terrain]] subgroup temperament can be tuned via the 5\33 generator. The full system of harmony provides the optimal patent val for [[Mint_temperaments#Slurpee|slurpee temperament]] in the 5, 7, 11 and 13 limits.
33edo is not especially good at representing all rational intervals in the [[7-limit]], but it does very well on the 7-limit [[k*N_subgroups|3*33 subgroup]] 2.27.15.21.11.13. On this subgroup it tunes things to the same tuning as [[99edo]], and as a subgroup patent val it tempers out the same commas. The 99 equal temperaments hemififths, amity, parakleismic, hemiwuerschmidt, ennealimmal and hendecatonic can be reduced to this subgroup and give various possibilities for MOS scales, etc. In particular, the [[Chromatic_pairs#Terrain|terrain]] subgroup temperament can be tuned via the 5\33 generator. The full system of harmony provides the optimal patent val for [[Mint_temperaments#Slurpee|slurpee temperament]] in the 5, 7, 11 and 13 limits.


Line 27: Line 27:
! Cents
! Cents
! Approximate ratios
! Approximate ratios
! colspan="3" |Notation
! colspan="3" | Notation
|-
|-
| 0
| 0
Line 406: Line 406:


=== Fully delta-rational triads ===
=== Fully delta-rational triads ===
{| class="wikitable sortable mw-collapsible mw-collapsed"
{| class="wikitable mw-collapsible mw-collapsed sortable"
! Steps
! Steps
! Delta signature
! Delta signature
Line 497: Line 497:


=== Partially delta-rational tetrads ===
=== Partially delta-rational tetrads ===
{|class="mw-collapsible mw-collapsed class="wikitable sortable"
{| class="wikitable sortable mw-collapsible mw-collapsed"
!Steps
! Steps
!Delta signature
! Delta signature
!Least-squares error
! Least-squares error
|-
|-
|0,1,2,3
| 0,1,2,3
| +1 +? +1
| +1 +? +1
|0.00053
| 0.00053
|-
|-
|0,1,2,4
| 0,1,2,4
| +1 +? +2
| +1 +? +2
|0.00094
| 0.00094
|-
|-
|0,1,3,4
| 0,1,3,4
| +1 +? +1
| +1 +? +1
|0.00080
| 0.00080
|-
|-
|0,1,4,5
| 0,1,4,5
| +1 +? +1
| +1 +? +1
|0.00107
| 0.00107
|-
|-
|0,1,16,17
| 0,1,16,17
| +2 +? +3
| +2 +? +3
|0.00104
| 0.00104
|-
|-
|0,1,16,18
| 0,1,16,18
| +1 +? +3
| +1 +? +3
|0.00110
| 0.00110
|-
|-
|0,1,17,18
| 0,1,17,18
| +2 +? +3
| +2 +? +3
|0.00073
| 0.00073
|-
|-
|0,1,17,19
| 0,1,17,19
| +1 +? +3
| +1 +? +3
|0.00071
| 0.00071
|-
|-
|0,1,18,19
| 0,1,18,19
| +2 +? +3
| +2 +? +3
|0.00042
| 0.00042
|-
|-
|0,1,18,20
| 0,1,18,20
| +1 +? +3
| +1 +? +3
|0.00032
| 0.00032
|-
|-
|0,1,19,20
| 0,1,19,20
| +2 +? +3
| +2 +? +3
|0.00010
| 0.00010
|-
|-
|0,1,19,21
| 0,1,19,21
| +1 +? +3
| +1 +? +3
|0.00008
| 0.00008
|-
|-
|0,1,20,21
| 0,1,20,21
| +2 +? +3
| +2 +? +3
|0.00023
| 0.00023
|-
|-
|0,1,20,22
| 0,1,20,22
| +1 +? +3
| +1 +? +3
|0.00049
| 0.00049
|-
|-
|0,1,21,22
| 0,1,21,22
| +2 +? +3
| +2 +? +3
|0.00056
| 0.00056
|-
|-
|0,1,21,23
| 0,1,21,23
| +1 +? +3
| +1 +? +3
|0.00091
| 0.00091
|-
|-
|0,1,22,23
| 0,1,22,23
| +2 +? +3
| +2 +? +3
|0.00090
| 0.00090
|-
|-
|0,1,30,31
| 0,1,30,31
| +1 +? +2
| +1 +? +2
|0.00106
| 0.00106
|-
|-
|0,1,31,32
| 0,1,31,32
| +1 +? +2
| +1 +? +2
|0.00071
| 0.00071
|-
|-
|0,2,3,4
| 0,2,3,4
| +2 +? +1
| +2 +? +1
|0.00077
| 0.00077
|-
|-
|0,2,4,5
| 0,2,4,5
| +2 +? +1
| +2 +? +1
|0.00109
| 0.00109
|-
|-
|0,2,6,11
| 0,2,6,11
| +1 +? +3
| +1 +? +3
|0.00094
| 0.00094
|-
|-
|0,2,7,12
| 0,2,7,12
| +1 +? +3
| +1 +? +3
|0.00013
| 0.00013
|-
|-
|0,2,8,13
| 0,2,8,13
| +1 +? +3
| +1 +? +3
|0.00069
| 0.00069
|-
|-
|0,2,12,13
| 0,2,12,13
| +3 +? +2
| +3 +? +2
|0.00083
| 0.00083
|-
|-
|0,2,12,15
| 0,2,12,15
| +1 +? +2
| +1 +? +2
|0.00087
| 0.00087
|-
|-
|0,2,13,14
| 0,2,13,14
| +3 +? +2
| +3 +? +2
|0.00045
| 0.00045
|-
|-
|0,2,13,16
| 0,2,13,16
| +1 +? +2
| +1 +? +2
|0.00014
| 0.00014
|-
|-
|0,2,14,15
| 0,2,14,15
| +3 +? +2
| +3 +? +2
|0.00008
| 0.00008
|-
|-
|0,2,14,17
| 0,2,14,17
| +1 +? +2
| +1 +? +2
|0.00060
| 0.00060
|-
|-
|0,2,15,16
| 0,2,15,16
| +3 +? +2
| +3 +? +2
|0.00031
| 0.00031
|-
|-
|0,2,16,17
| 0,2,16,17
| +3 +? +2
| +3 +? +2
|0.00071
| 0.00071
|-
|-
|0,2,17,21
| 0,2,17,21
| +1 +? +3
| +1 +? +3
|0.00104
| 0.00104
|-
|-
|0,2,18,20
| 0,2,18,20
| +2 +? +3
| +2 +? +3
|0.00084
| 0.00084
|-
|-
|0,2,18,22
| 0,2,18,22
| +1 +? +3
| +1 +? +3
|0.00024
| 0.00024
|-
|-
|0,2,19,21
| 0,2,19,21
| +2 +? +3
| +2 +? +3
|0.00020
| 0.00020
|-
|-
|0,2,19,23
| 0,2,19,23
| +1 +? +3
| +1 +? +3
|0.00058
| 0.00058
|-
|-
|0,2,20,22
| 0,2,20,22
| +2 +? +3
| +2 +? +3
|0.00046
| 0.00046
|-
|-
|0,3,4,5
| 0,3,4,5
| +3 +? +1
| +3 +? +1
|0.00097
| 0.00097
|-
|-
|0,3,4,8
| 0,3,4,8
| +2 +? +3
| +2 +? +3
|0.00108
| 0.00108
|-
|-
|0,3,5,9
| 0,3,5,9
| +2 +? +3
| +2 +? +3
|0.00010
| 0.00010
|-
|-
|0,3,6,10
| 0,3,6,10
| +2 +? +3
| +2 +? +3
|0.00090
| 0.00090
|-
|-
|0,3,7,12
| 0,3,7,12
| +1 +? +2
| +1 +? +2
|0.00074
| 0.00074
|-
|-
|0,3,8,13
| 0,3,8,13
| +1 +? +2
| +1 +? +2
|0.00037
| 0.00037
|-
|-
|0,3,10,17
| 0,3,10,17
| +1 +? +3
| +1 +? +3
|0.00009
| 0.00009
|-
|-
|0,3,17,23
| 0,3,17,23
| +1 +? +3
| +1 +? +3
|0.00096
| 0.00096
|-
|-
|0,3,18,19
| 0,3,18,19
| +2 +? +1
| +2 +? +1
|0.00103
| 0.00103
|-
|-
|0,3,18,22
| 0,3,18,22
| +1 +? +2
| +1 +? +2
|0.00088
| 0.00088
|-
|-
|0,3,18,24
| 0,3,18,24
| +1 +? +3
| +1 +? +3
|0.00027
| 0.00027
|-
|-
|0,3,19,20
| 0,3,19,20
| +2 +? +1
| +2 +? +1
|0.00059
| 0.00059
|-
|-
|0,3,19,21
| 0,3,19,21
| +1 +? +1
| +1 +? +1
|0.00063
| 0.00063
|-
|-
|0,3,19,22
| 0,3,19,22
| +2 +? +3
| +2 +? +3
|0.00030
| 0.00030
|-
|-
|0,3,19,23
| 0,3,19,23
| +1 +? +2
| +1 +? +2
|0.00023
| 0.00023
|-
|-
|0,3,20,21
| 0,3,20,21
| +2 +? +1
| +2 +? +1
|0.00014
| 0.00014
|-
|-
|0,3,20,22
| 0,3,20,22
| +1 +? +1
| +1 +? +1
|0.00015
| 0.00015
|-
|-
|0,3,20,23
| 0,3,20,23
| +2 +? +3
| +2 +? +3
|0.00070
| 0.00070
|-
|-
|0,3,21,22
| 0,3,21,22
| +2 +? +1
| +2 +? +1
|0.00032
| 0.00032
|-
|-
|0,3,21,23
| 0,3,21,23
| +1 +? +1
| +1 +? +1
|0.00095
| 0.00095
|-
|-
|0,3,22,23
| 0,3,22,23
| +2 +? +1
| +2 +? +1
|0.00078
| 0.00078
|-
|-
|0,3,27,32
| 0,3,27,32
| +1 +? +3
| +1 +? +3
|0.00004
| 0.00004
|-
|-
|0,4,5,12
| 0,4,5,12
| +1 +? +2
| +1 +? +2
|0.00026
| 0.00026
|-
|-
|0,4,5,15
| 0,4,5,15
| +1 +? +3
| +1 +? +3
|0.00100
| 0.00100
|-
|-
|0,4,6,16
| 0,4,6,16
| +1 +? +3
| +1 +? +3
|0.00066
| 0.00066
|-
|-
|0,4,8,13
| 0,4,8,13
| +2 +? +3
| +2 +? +3
|0.00023
| 0.00023
|-
|-
|0,4,11,20
| 0,4,11,20
| +1 +? +3
| +1 +? +3
|0.00023
| 0.00023
|-
|-
|0,4,12,18
| 0,4,12,18
| +1 +? +2
| +1 +? +2
|0.00101
| 0.00101
|-
|-
|0,4,13,14
| 0,4,13,14
| +3 +? +1
| +3 +? +1
|0.00091
| 0.00091
|-
|-
|0,4,13,19
| 0,4,13,19
| +1 +? +2
| +1 +? +2
|0.00048
| 0.00048
|-
|-
|0,4,14,15
| 0,4,14,15
| +3 +? +1
| +3 +? +1
|0.00050
| 0.00050
|-
|-
|0,4,14,16
| 0,4,14,16
| +3 +? +2
| +3 +? +2
|0.00055
| 0.00055
|-
|-
|0,4,14,17
| 0,4,14,17
| +1 +? +1
| +1 +? +1
|0.00021
| 0.00021
|-
|-
|0,4,15,16
| 0,4,15,16
| +3 +? +1
| +3 +? +1
|0.00009
| 0.00009
|-
|-
|0,4,15,17
| 0,4,15,17
| +3 +? +2
| +3 +? +2
|0.00023
| 0.00023
|-
|-
|0,4,15,18
| 0,4,15,18
| +1 +? +1
| +1 +? +1
|0.00085
| 0.00085
|-
|-
|0,4,16,17
| 0,4,16,17
| +3 +? +1
| +3 +? +1
|0.00034
| 0.00034
|-
|-
|0,4,16,18
| 0,4,16,18
| +3 +? +2
| +3 +? +2
|0.00103
| 0.00103
|-
|-
|0,4,17,18
| 0,4,17,18
| +3 +? +1
| +3 +? +1
|0.00077
| 0.00077
|-
|-
|0,4,17,25
| 0,4,17,25
| +1 +? +3
| +1 +? +3
|0.00043
| 0.00043
|-
|-
|0,4,19,23
| 0,4,19,23
| +2 +? +3
| +2 +? +3
|0.00041
| 0.00041
|-
|-
|0,4,20,24
| 0,4,20,24
| +2 +? +3
| +2 +? +3
|0.00094
| 0.00094
|-
|-
|0,4,22,27
| 0,4,22,27
| +1 +? +2
| +1 +? +2
|0.00020
| 0.00020
|-
|-
|0,4,24,31
| 0,4,24,31
| +1 +? +3
| +1 +? +3
|0.00022
| 0.00022
|-
|-
|0,5,6,9
| 0,5,6,9
| +3 +? +2
| +3 +? +2
|0.00003
| 0.00003
|-
|-
|0,5,7,10
| 0,5,7,10
| +3 +? +2
| +3 +? +2
|0.00097
| 0.00097
|-
|-
|0,5,7,19
| 0,5,7,19
| +1 +? +3
| +1 +? +3
|0.00004
| 0.00004
|-
|-
|0,5,9,17
| 0,5,9,17
| +1 +? +2
| +1 +? +2
|0.00017
| 0.00017
|-
|-
|0,5,10,16
| 0,5,10,16
| +2 +? +3
| +2 +? +3
|0.00019
| 0.00019
|-
|-
|0,5,11,13
| 0,5,11,13
| +2 +? +1
| +2 +? +1
|0.00087
| 0.00087
|-
|-
|0,5,11,15
| 0,5,11,15
| +1 +? +1
| +1 +? +1
|0.00018
| 0.00018
|-
|-
|0,5,12,14
| 0,5,12,14
| +2 +? +1
| +2 +? +1
|0.00011
| 0.00011
|-
|-
|0,5,12,23
| 0,5,12,23
| +1 +? +3
| +1 +? +3
|0.00067
| 0.00067
|-
|-
|0,5,13,15
| 0,5,13,15
| +2 +? +1
| +2 +? +1
|0.00067
| 0.00067
|-
|-
|0,5,16,23
| 0,5,16,23
| +1 +? +2
| +1 +? +2
|0.00008
| 0.00008
|-
|-
|0,5,17,27
| 0,5,17,27
| +1 +? +3
| +1 +? +3
|0.00055
| 0.00055
|-
|-
|0,5,19,24
| 0,5,19,24
| +2 +? +3
| +2 +? +3
|0.00051
| 0.00051
|-
|-
|0,5,22,31
| 0,5,22,31
| +1 +? +3
| +1 +? +3
|0.00057
| 0.00057
|-
|-
|0,5,24,30
| 0,5,24,30
| +1 +? +2
| +1 +? +2
|0.00036
| 0.00036
|-
|-
|0,5,25,26
| 0,5,25,26
| +3 +? +1
| +3 +? +1
|0.00071
| 0.00071
|-
|-
|0,5,25,27
| 0,5,25,27
| +3 +? +2
| +3 +? +2
|0.00082
| 0.00082
|-
|-
|0,5,25,28
| 0,5,25,28
| +1 +? +1
| +1 +? +1
|0.00045
| 0.00045
|-
|-
|0,5,26,27
| 0,5,26,27
| +3 +? +1
| +3 +? +1
|0.00018
| 0.00018
|-
|-
|0,5,26,28
| 0,5,26,28
| +3 +? +2
| +3 +? +2
|0.00016
| 0.00016
|-
|-
|0,5,26,29
| 0,5,26,29
| +1 +? +1
| +1 +? +1
|0.00090
| 0.00090
|-
|-
|0,5,27,28
| 0,5,27,28
| +3 +? +1
| +3 +? +1
|0.00035
| 0.00035
|-
|-
|0,5,28,29
| 0,5,28,29
| +3 +? +1
| +3 +? +1
|0.00090
| 0.00090
|-
|-
|0,6,7,17
| 0,6,7,17
| +1 +? +2
| +1 +? +2
|0.00087
| 0.00087
|-
|-
|0,6,8,22
| 0,6,8,22
| +1 +? +3
| +1 +? +3
|0.00045
| 0.00045
|-
|-
|0,6,9,14
| 0,6,9,14
| +1 +? +1
| +1 +? +1
|0.00031
| 0.00031
|-
|-
|0,6,11,18
| 0,6,11,18
| +2 +? +3
| +2 +? +3
|0.00093
| 0.00093
|-
|-
|0,6,12,21
| 0,6,12,21
| +1 +? +2
| +1 +? +2
|0.00036
| 0.00036
|-
|-
|0,6,12,25
| 0,6,12,25
| +1 +? +3
| +1 +? +3
|0.00032
| 0.00032
|-
|-
|0,6,15,18
| 0,6,15,18
| +3 +? +2
| +3 +? +2
|0.00026
| 0.00026
|-
|-
|0,6,16,19
| 0,6,16,19
| +3 +? +2
| +3 +? +2
|0.00095
| 0.00095
|-
|-
|0,6,16,28
| 0,6,16,28
| +1 +? +3
| +1 +? +3
|0.00053
| 0.00053
|-
|-
|0,6,18,26
| 0,6,18,26
| +1 +? +2
| +1 +? +2
|0.00064
| 0.00064
|-
|-
|0,6,19,25
| 0,6,19,25
| +2 +? +3
| +2 +? +3
|0.00062
| 0.00062
|-
|-
|0,6,20,24
| 0,6,20,24
| +1 +? +1
| +1 +? +1
|0.00052
| 0.00052
|-
|-
|0,6,21,23
| 0,6,21,23
| +2 +? +1
| +2 +? +1
|0.00031
| 0.00031
|-
|-
|0,6,21,32
| 0,6,21,32
| +1 +? +3
| +1 +? +3
|0.00033
| 0.00033
|-
|-
|0,6,22,24
| 0,6,22,24
| +2 +? +1
| +2 +? +1
|0.00063
| 0.00063
|-
|-
|0,6,25,32
| 0,6,25,32
| +1 +? +2
| +1 +? +2
|0.00034
| 0.00034
|-
|-
|0,7,8,14
| 0,7,8,14
| +1 +? +1
| +1 +? +1
|0.00029
| 0.00029
|-
|-
|0,7,8,24
| 0,7,8,24
| +1 +? +3
| +1 +? +3
|0.00080
| 0.00080
|-
|-
|0,7,9,11
| 0,7,9,11
| +3 +? +1
| +3 +? +1
|0.00066
| 0.00066
|-
|-
|0,7,9,12
| 0,7,9,12
| +2 +? +1
| +2 +? +1
|0.00041
| 0.00041
|-
|-
|0,7,9,13
| 0,7,9,13
| +3 +? +2
| +3 +? +2
|0.00019
| 0.00019
|-
|-
|0,7,10,12
| 0,7,10,12
| +3 +? +1
| +3 +? +1
|0.00009
| 0.00009
|-
|-
|0,7,10,13
| 0,7,10,13
| +2 +? +1
| +2 +? +1
|0.00070
| 0.00070
|-
|-
|0,7,11,13
| 0,7,11,13
| +3 +? +1
| +3 +? +1
|0.00087
| 0.00087
|-
|-
|0,7,12,20
| 0,7,12,20
| +2 +? +3
| +2 +? +3
|0.00104
| 0.00104
|-
|-
|0,7,12,27
| 0,7,12,27
| +1 +? +3
| +1 +? +3
|0.00041
| 0.00041
|-
|-
|0,7,16,30
| 0,7,16,30
| +1 +? +3
| +1 +? +3
|0.00098
| 0.00098
|-
|-
|0,7,17,22
| 0,7,17,22
| +1 +? +1
| +1 +? +1
|0.00008
| 0.00008
|-
|-
|0,7,19,26
| 0,7,19,26
| +2 +? +3
| +2 +? +3
|0.00073
| 0.00073
|-
|-
|0,7,20,29
| 0,7,20,29
| +1 +? +2
| +1 +? +2
|0.00002
| 0.00002
|-
|-
|0,7,23,26
| 0,7,23,26
| +3 +? +2
| +3 +? +2
|0.00010
| 0.00010
|-
|-
|0,7,28,32
| 0,7,28,32
| +1 +? +1
| +1 +? +1
|0.00033
| 0.00033
|-
|-
|0,7,29,31
| 0,7,29,31
| +2 +? +1
| +2 +? +1
|0.00020
| 0.00020
|-
|-
|0,7,30,32
| 0,7,30,32
| +2 +? +1
| +2 +? +1
|0.00091
| 0.00091
|-
|-
|0,8,12,29
| 0,8,12,29
| +1 +? +3
| +1 +? +3
|0.00097
| 0.00097
|-
|-
|0,8,13,22
| 0,8,13,22
| +2 +? +3
| +2 +? +3
|0.00051
| 0.00051
|-
|-
|0,8,15,21
| 0,8,15,21
| +1 +? +1
| +1 +? +1
|0.00062
| 0.00062
|-
|-
|0,8,15,31
| 0,8,15,31
| +1 +? +3
| +1 +? +3
|0.00047
| 0.00047
|-
|-
|0,8,16,18
| 0,8,16,18
| +3 +? +1
| +3 +? +1
|0.00066
| 0.00066
|-
|-
|0,8,16,19
| 0,8,16,19
| +2 +? +1
| +2 +? +1
|0.00031
| 0.00031
|-
|-
|0,8,16,20
| 0,8,16,20
| +3 +? +2
| +3 +? +2
|0.00043
| 0.00043
|-
|-
|0,8,16,27
| 0,8,16,27
| +1 +? +2
| +1 +? +2
|0.00090
| 0.00090
|-
|-
|0,8,17,19
| 0,8,17,19
| +3 +? +1
| +3 +? +1
|0.00022
| 0.00022
|-
|-
|0,8,17,20
| 0,8,17,20
| +2 +? +1
| +2 +? +1
|0.00098
| 0.00098
|-
|-
|0,8,19,27
| 0,8,19,27
| +2 +? +3
| +2 +? +3
|0.00085
| 0.00085
|-
|-
|0,8,21,31
| 0,8,21,31
| +1 +? +2
| +1 +? +2
|0.00108
| 0.00108
|-
|-
|0,8,24,29
| 0,8,24,29
| +1 +? +1
| +1 +? +1
|0.00020
| 0.00020
|-
|-
|0,9,11,16
| 0,9,11,16
| +3 +? +2
| +3 +? +2
|0.00051
| 0.00051
|-
|-
|0,9,13,20
| 0,9,13,20
| +1 +? +1
| +1 +? +1
|0.00002
| 0.00002
|-
|-
|0,9,14,24
| 0,9,14,24
| +2 +? +3
| +2 +? +3
|0.00073
| 0.00073
|-
|-
|0,9,18,30
| 0,9,18,30
| +1 +? +2
| +1 +? +2
|0.00090
| 0.00090
|-
|-
|0,9,19,28
| 0,9,19,28
| +2 +? +3
| +2 +? +3
|0.00096
| 0.00096
|-
|-
|0,9,21,27
| 0,9,21,27
| +1 +? +1
| +1 +? +1
|0.00040
| 0.00040
|-
|-
|0,9,22,24
| 0,9,22,24
| +3 +? +1
| +3 +? +1
|0.00087
| 0.00087
|-
|-
|0,9,22,25
| 0,9,22,25
| +2 +? +1
| +2 +? +1
|0.00053
| 0.00053
|-
|-
|0,9,22,26
| 0,9,22,26
| +3 +? +2
| +3 +? +2
|0.00026
| 0.00026
|-
|-
|0,9,23,25
| 0,9,23,25
| +3 +? +1
| +3 +? +1
|0.00013
| 0.00013
|-
|-
|0,9,23,26
| 0,9,23,26
| +2 +? +1
| +2 +? +1
|0.00093
| 0.00093
|-
|-
|0,10,11,26
| 0,10,11,26
| +1 +? +2
| +1 +? +2
|0.00035
| 0.00035
|-
|-
|0,10,11,32
| 0,10,11,32
| +1 +? +3
| +1 +? +3
|0.00081
| 0.00081
|-
|-
|0,10,12,20
| 0,10,12,20
| +1 +? +1
| +1 +? +1
|0.00098
| 0.00098
|-
|-
|0,10,14,18
| 0,10,14,18
| +2 +? +1
| +2 +? +1
|0.00050
| 0.00050
|-
|-
|0,10,14,25
| 0,10,14,25
| +2 +? +3
| +2 +? +3
|0.00088
| 0.00088
|-
|-
|0,10,15,29
| 0,10,15,29
| +1 +? +2
| +1 +? +2
|0.00041
| 0.00041
|-
|-
|0,10,16,21
| 0,10,16,21
| +3 +? +2
| +3 +? +2
|0.00055
| 0.00055
|-
|-
|0,10,19,29
| 0,10,19,29
| +2 +? +3
| +2 +? +3
|0.00108
| 0.00108
|-
|-
|0,10,19,32
| 0,10,19,32
| +1 +? +2
| +1 +? +2
|0.00021
| 0.00021
|-
|-
|0,10,26,32
| 0,10,26,32
| +1 +? +1
| +1 +? +1
|0.00106
| 0.00106
|-
|-
|0,10,27,31
| 0,10,27,31
| +3 +? +2
| +3 +? +2
|0.00082
| 0.00082
|-
|-
|0,10,28,30
| 0,10,28,30
| +3 +? +1
| +3 +? +1
|0.00045
| 0.00045
|-
|-
|0,10,28,31
| 0,10,28,31
| +2 +? +1
| +2 +? +1
|0.00016
| 0.00016
|-
|-
|0,10,29,31
| 0,10,29,31
| +3 +? +1
| +3 +? +1
|0.00068
| 0.00068
|-
|-
|0,11,12,18
| 0,11,12,18
| +3 +? +2
| +3 +? +2
|0.00030
| 0.00030
|-
|-
|0,11,13,16
| 0,11,13,16
| +3 +? +1
| +3 +? +1
|0.00081
| 0.00081
|-
|-
|0,11,14,17
| 0,11,14,17
| +3 +? +1
| +3 +? +1
|0.00044
| 0.00044
|-
|-
|0,11,16,31
| 0,11,16,31
| +1 +? +2
| +1 +? +2
|0.00064
| 0.00064
|-
|-
|0,11,17,25
| 0,11,17,25
| +1 +? +1
| +1 +? +1
|0.00091
| 0.00091
|-
|-
|0,11,19,23
| 0,11,19,23
| +2 +? +1
| +2 +? +1
|0.00045
| 0.00045
|-
|-
|0,11,21,26
| 0,11,21,26
| +3 +? +2
| +3 +? +2
|0.00074
| 0.00074
|-
|-
|0,12,14,31
| 0,12,14,31
| +1 +? +2
| +1 +? +2
|0.00103
| 0.00103
|-
|-
|0,12,15,24
| 0,12,15,24
| +1 +? +1
| +1 +? +1
|0.00087
| 0.00087
|-
|-
|0,12,15,28
| 0,12,15,28
| +2 +? +3
| +2 +? +3
|0.00013
| 0.00013
|-
|-
|0,12,17,23
| 0,12,17,23
| +3 +? +2
| +3 +? +2
|0.00054
| 0.00054
|-
|-
|0,12,18,21
| 0,12,18,21
| +3 +? +1
| +3 +? +1
|0.00043
| 0.00043
|-
|-
|0,12,19,22
| 0,12,19,22
| +3 +? +1
| +3 +? +1
|0.00095
| 0.00095
|-
|-
|0,12,23,27
| 0,12,23,27
| +2 +? +1
| +2 +? +1
|0.00083
| 0.00083
|-
|-
|0,12,26,31
| 0,12,26,31
| +3 +? +2
| +3 +? +2
|0.00005
| 0.00005
|-
|-
|0,13,14,24
| 0,13,14,24
| +1 +? +1
| +1 +? +1
|0.00019
| 0.00019
|-
|-
|0,13,17,22
| 0,13,17,22
| +2 +? +1
| +2 +? +1
|0.00085
| 0.00085
|-
|-
|0,13,21,27
| 0,13,21,27
| +3 +? +2
| +3 +? +2
|0.00035
| 0.00035
|-
|-
|0,13,22,25
| 0,13,22,25
| +3 +? +1
| +3 +? +1
|0.00097
| 0.00097
|-
|-
|0,13,23,26
| 0,13,23,26
| +3 +? +1
| +3 +? +1
|0.00054
| 0.00054
|-
|-
|0,13,28,32
| 0,13,28,32
| +2 +? +1
| +2 +? +1
|0.00055
| 0.00055
|-
|-
|0,14,17,24
| 0,14,17,24
| +3 +? +2
| +3 +? +2
|0.00099
| 0.00099
|-
|-
|0,14,18,28
| 0,14,18,28
| +1 +? +1
| +1 +? +1
|0.00043
| 0.00043
|-
|-
|0,14,21,26
| 0,14,21,26
| +2 +? +1
| +2 +? +1
|0.00080
| 0.00080
|-
|-
|0,14,25,31
| 0,14,25,31
| +3 +? +2
| +3 +? +2
|0.00054
| 0.00054
|-
|-
|0,14,27,30
| 0,14,27,30
| +3 +? +1
| +3 +? +1
|0.00050
| 0.00050
|-
|-
|0,15,16,20
| 0,15,16,20
| +3 +? +1
| +3 +? +1
|0.00055
| 0.00055
|-
|-
|0,15,17,28
| 0,15,17,28
| +1 +? +1
| +1 +? +1
|0.00064
| 0.00064
|-
|-
|0,15,21,28
| 0,15,21,28
| +3 +? +2
| +3 +? +2
|0.00045
| 0.00045
|-
|-
|0,15,22,32
| 0,15,22,32
| +1 +? +1
| +1 +? +1
|0.00039
| 0.00039
|-
|-
|0,16,18,26
| 0,16,18,26
| +3 +? +2
| +3 +? +2
|0.00049
| 0.00049
|-
|-
|0,16,19,25
| 0,16,19,25
| +2 +? +1
| +2 +? +1
|0.00031
| 0.00031
|-
|-
|0,16,20,24
| 0,16,20,24
| +3 +? +1
| +3 +? +1
|0.00018
| 0.00018
|-
|-
|0,16,25,32
| 0,16,25,32
| +3 +? +2
| +3 +? +2
|0.00095
| 0.00095
|-
|-
|0,17,19,31
| 0,17,19,31
| +1 +? +1
| +1 +? +1
|0.00109
| 0.00109
|-
|-
|0,17,21,29
| 0,17,21,29
| +3 +? +2
| +3 +? +2
|0.00107
| 0.00107
|-
|-
|0,17,22,28
| 0,17,22,28
| +2 +? +1
| +2 +? +1
|0.00091
| 0.00091
|-
|-
|0,17,23,27
| 0,17,23,27
| +3 +? +1
| +3 +? +1
|0.00066
| 0.00066
|-
|-
|0,18,27,31
| 0,18,27,31
| +3 +? +1
| +3 +? +1
|0.00095
| 0.00095
|-
|-
|0,19,21,28
| 0,19,21,28
| +2 +? +1
| +2 +? +1
|0.00065
| 0.00065
|-
|-
|0,20,24,31
| 0,20,24,31
| +2 +? +1
| +2 +? +1
|0.00078
| 0.00078
|-
|-
|0,21,22,32
| 0,21,22,32
| +3 +? +2
| +3 +? +2
|0.00091
| 0.00091
|-
|-
|0,21,24,29
| 0,21,24,29
| +3 +? +1
| +3 +? +1
|0.00102
| 0.00102
|-
|-
|0,22,27,32
| 0,22,27,32
| +3 +? +1
| +3 +? +1
|0.00038
| 0.00038
|}
|}


Retrieved from "https://en.xen.wiki/w/33edo"