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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|234}}
{{ED intro}}


== Theory ==
== Theory ==
Line 7: Line 7:


== Intervals ==
== Intervals ==
{|class="wikitable"
{| class="wikitable"
|-
|-
!#
! #
!Cents
! Cents
!Diatonic interval category
! Diatonic interval category
|-
|-
|0
| 0
|0.0
| 0.0
|perfect unison
| perfect unison
|-
|-
|1
| 1
|5.1
| 5.1
|superunison
| superunison
|-
|-
|2
| 2
|10.3
| 10.3
|superunison
| superunison
|-
|-
|3
| 3
|15.4
| 15.4
|superunison
| superunison
|-
|-
|4
| 4
|20.5
| 20.5
|superunison
| superunison
|-
|-
|5
| 5
|25.6
| 25.6
|superunison
| superunison
|-
|-
|6
| 6
|30.8
| 30.8
|superunison
| superunison
|-
|-
|7
| 7
|35.9
| 35.9
|superunison
| superunison
|-
|-
|8
| 8
|41.0
| 41.0
|subminor second
| subminor second
|-
|-
|9
| 9
|46.2
| 46.2
|subminor second
| subminor second
|-
|-
|10
| 10
|51.3
| 51.3
|subminor second
| subminor second
|-
|-
|11
| 11
|56.4
| 56.4
|subminor second
| subminor second
|-
|-
|12
| 12
|61.5
| 61.5
|subminor second
| subminor second
|-
|-
|13
| 13
|66.7
| 66.7
|subminor second
| subminor second
|-
|-
|14
| 14
|71.8
| 71.8
|subminor second
| subminor second
|-
|-
|15
| 15
|76.9
| 76.9
|subminor second
| subminor second
|-
|-
|16
| 16
|82.1
| 82.1
|minor second
| minor second
|-
|-
|17
| 17
|87.2
| 87.2
|minor second
| minor second
|-
|-
|18
| 18
|92.3
| 92.3
|minor second
| minor second
|-
|-
|19
| 19
|97.4
| 97.4
|minor second
| minor second
|-
|-
|20
| 20
|102.6
| 102.6
|minor second
| minor second
|-
|-
|21
| 21
|107.7
| 107.7
|minor second
| minor second
|-
|-
|22
| 22
|112.8
| 112.8
|minor second
| minor second
|-
|-
|23
| 23
|117.9
| 117.9
|minor second
| minor second
|-
|-
|24
| 24
|123.1
| 123.1
|supraminor second
| supraminor second
|-
|-
|25
| 25
|128.2
| 128.2
|supraminor second
| supraminor second
|-
|-
|26
| 26
|133.3
| 133.3
|supraminor second
| supraminor second
|-
|-
|27
| 27
|138.5
| 138.5
|supraminor second
| supraminor second
|-
|-
|28
| 28
|143.6
| 143.6
|neutral second
| neutral second
|-
|-
|29
| 29
|148.7
| 148.7
|neutral second
| neutral second
|-
|-
|30
| 30
|153.8
| 153.8
|neutral second
| neutral second
|-
|-
|31
| 31
|159.0
| 159.0
|neutral second
| neutral second
|-
|-
|32
| 32
|164.1
| 164.1
|submajor second
| submajor second
|-
|-
|33
| 33
|169.2
| 169.2
|submajor second
| submajor second
|-
|-
|34
| 34
|174.4
| 174.4
|submajor second
| submajor second
|-
|-
|35
| 35
|179.5
| 179.5
|submajor second
| submajor second
|-
|-
|36
| 36
|184.6
| 184.6
|major second
| major second
|-
|-
|37
| 37
|189.7
| 189.7
|major second
| major second
|-
|-
|38
| 38
|194.9
| 194.9
|major second
| major second
|-
|-
|39
| 39
|200.0
| 200.0
|major second
| major second
|-
|-
|40
| 40
|205.1
| 205.1
|major second
| major second
|-
|-
|41
| 41
|210.3
| 210.3
|major second
| major second
|-
|-
|42
| 42
|215.4
| 215.4
|major second
| major second
|-
|-
|43
| 43
|220.5
| 220.5
|supermajor second
| supermajor second
|-
|-
|44
| 44
|225.6
| 225.6
|supermajor second
| supermajor second
|-
|-
|45
| 45
|230.8
| 230.8
|supermajor second
| supermajor second
|-
|-
|46
| 46
|235.9
| 235.9
|supermajor second
| supermajor second
|-
|-
|47
| 47
|241.0
| 241.0
|ultramajor second
| ultramajor second
|-
|-
|48
| 48
|246.2
| 246.2
|ultramajor second
| ultramajor second
|-
|-
|49
| 49
|251.3
| 251.3
|ultramajor second
| ultramajor second
|-
|-
|50
| 50
|256.4
| 256.4
|ultramajor second
| ultramajor second
|-
|-
|51
| 51
|261.5
| 261.5
|subminor third
| subminor third
|-
|-
|52
| 52
|266.7
| 266.7
|subminor third
| subminor third
|-
|-
|53
| 53
|271.8
| 271.8
|subminor third
| subminor third
|-
|-
|54
| 54
|276.9
| 276.9
|subminor third
| subminor third
|-
|-
|55
| 55
|282.1
| 282.1
|minor third
| minor third
|-
|-
|56
| 56
|287.2
| 287.2
|minor third
| minor third
|-
|-
|57
| 57
|292.3
| 292.3
|minor third
| minor third
|-
|-
|58
| 58
|297.4
| 297.4
|minor third
| minor third
|-
|-
|59
| 59
|302.6
| 302.6
|minor third
| minor third
|-
|-
|60
| 60
|307.7
| 307.7
|minor third
| minor third
|-
|-
|61
| 61
|312.8
| 312.8
|minor third
| minor third
|-
|-
|62
| 62
|317.9
| 317.9
|minor third
| minor third
|-
|-
|63
| 63
|323.1
| 323.1
|supraminor third
| supraminor third
|-
|-
|64
| 64
|328.2
| 328.2
|supraminor third
| supraminor third
|-
|-
|65
| 65
|333.3
| 333.3
|supraminor third
| supraminor third
|-
|-
|66
| 66
|338.5
| 338.5
|supraminor third
| supraminor third
|-
|-
|67
| 67
|343.6
| 343.6
|neutral third
| neutral third
|-
|-
|68
| 68
|348.7
| 348.7
|neutral third
| neutral third
|-
|-
|69
| 69
|353.8
| 353.8
|neutral third
| neutral third
|-
|-
|70
| 70
|359.0
| 359.0
|neutral third
| neutral third
|-
|-
|71
| 71
|364.1
| 364.1
|submajor third
| submajor third
|-
|-
|72
| 72
|369.2
| 369.2
|submajor third
| submajor third
|-
|-
|73
| 73
|374.4
| 374.4
|submajor third
| submajor third
|-
|-
|74
| 74
|379.5
| 379.5
|submajor third
| submajor third
|-
|-
|75
| 75
|384.6
| 384.6
|major third
| major third
|-
|-
|76
| 76
|389.7
| 389.7
|major third
| major third
|-
|-
|77
| 77
|394.9
| 394.9
|major third
| major third
|-
|-
|78
| 78
|400.0
| 400.0
|major third
| major third
|-
|-
|79
| 79
|405.1
| 405.1
|major third
| major third
|-
|-
|80
| 80
|410.3
| 410.3
|major third
| major third
|-
|-
|81
| 81
|415.4
| 415.4
|major third
| major third
|-
|-
|82
| 82
|420.5
| 420.5
|supermajor third
| supermajor third
|-
|-
|83
| 83
|425.6
| 425.6
|supermajor third
| supermajor third
|-
|-
|84
| 84
|430.8
| 430.8
|supermajor third
| supermajor third
|-
|-
|85
| 85
|435.9
| 435.9
|supermajor third
| supermajor third
|-
|-
|86
| 86
|441.0
| 441.0
|ultramajor third
| ultramajor third
|-
|-
|87
| 87
|446.2
| 446.2
|ultramajor third
| ultramajor third
|-
|-
|88
| 88
|451.3
| 451.3
|ultramajor third
| ultramajor third
|-
|-
|89
| 89
|456.4
| 456.4
|ultramajor third
| ultramajor third
|-
|-
|90
| 90
|461.5
| 461.5
|subfourth
| subfourth
|-
|-
|91
| 91
|466.7
| 466.7
|subfourth
| subfourth
|-
|-
|92
| 92
|471.8
| 471.8
|subfourth
| subfourth
|-
|-
|93
| 93
|476.9
| 476.9
|subfourth
| subfourth
|-
|-
|94
| 94
|482.1
| 482.1
|perfect fourth
| perfect fourth
|-
|-
|95
| 95
|487.2
| 487.2
|perfect fourth
| perfect fourth
|-
|-
|96
| 96
|492.3
| 492.3
|perfect fourth
| perfect fourth
|-
|-
|97
| 97
|497.4
| 497.4
|perfect fourth
| perfect fourth
|-
|-
|98
| 98
|502.6
| 502.6
|perfect fourth
| perfect fourth
|-
|-
|99
| 99
|507.7
| 507.7
|perfect fourth
| perfect fourth
|-
|-
|100
| 100
|512.8
| 512.8
|perfect fourth
| perfect fourth
|-
|-
|101
| 101
|517.9
| 517.9
|superfourth
| superfourth
|-
|-
|102
| 102
|523.1
| 523.1
|superfourth
| superfourth
|-
|-
|103
| 103
|528.2
| 528.2
|superfourth
| superfourth
|-
|-
|104
| 104
|533.3
| 533.3
|superfourth
| superfourth
|-
|-
|105
| 105
|538.5
| 538.5
|superfourth
| superfourth
|-
|-
|106
| 106
|543.6
| 543.6
|superfourth
| superfourth
|-
|-
|107
| 107
|548.7
| 548.7
|superfourth
| superfourth
|-
|-
|108
| 108
|553.8
| 553.8
|superfourth
| superfourth
|-
|-
|109
| 109
|559.0
| 559.0
|superfourth
| superfourth
|-
|-
|110
| 110
|564.1
| 564.1
|low tritone
| low tritone
|-
|-
|111
| 111
|569.2
| 569.2
|low tritone
| low tritone
|-
|-
|112
| 112
|574.4
| 574.4
|low tritone
| low tritone
|-
|-
|113
| 113
|579.5
| 579.5
|low tritone
| low tritone
|-
|-
|114
| 114
|584.6
| 584.6
|low tritone
| low tritone
|-
|-
|115
| 115
|589.7
| 589.7
|low tritone
| low tritone
|-
|-
|116
| 116
|594.9
| 594.9
|low tritone
| low tritone
|-
|-
|117
| 117
|600.0
| 600.0
|high tritone
| high tritone
|-
|-
|118
| 118
|605.1
| 605.1
|high tritone
| high tritone
|-
|-
|119
| 119
|610.3
| 610.3
|high tritone
| high tritone
|-
|-
|120
| 120
|615.4
| 615.4
|high tritone
| high tritone
|-
|-
|121
| 121
|620.5
| 620.5
|high tritone
| high tritone
|-
|-
|122
| 122
|625.6
| 625.6
|high tritone
| high tritone
|-
|-
|123
| 123
|630.8
| 630.8
|high tritone
| high tritone
|-
|-
|124
| 124
|635.9
| 635.9
|high tritone
| high tritone
|-
|-
|125
| 125
|641.0
| 641.0
|subfifth
| subfifth
|-
|-
|126
| 126
|646.2
| 646.2
|subfifth
| subfifth
|-
|-
|127
| 127
|651.3
| 651.3
|subfifth
| subfifth
|-
|-
|128
| 128
|656.4
| 656.4
|subfifth
| subfifth
|-
|-
|129
| 129
|661.5
| 661.5
|subfifth
| subfifth
|-
|-
|130
| 130
|666.7
| 666.7
|subfifth
| subfifth
|-
|-
|131
| 131
|671.8
| 671.8
|subfifth
| subfifth
|-
|-
|132
| 132
|676.9
| 676.9
|subfifth
| subfifth
|-
|-
|133
| 133
|682.1
| 682.1
|subfifth
| subfifth
|-
|-
|134
| 134
|687.2
| 687.2
|perfect fifth
| perfect fifth
|-
|-
|135
| 135
|692.3
| 692.3
|perfect fifth
| perfect fifth
|-
|-
|136
| 136
|697.4
| 697.4
|perfect fifth
| perfect fifth
|-
|-
|137
| 137
|702.6
| 702.6
|perfect fifth
| perfect fifth
|-
|-
|138
| 138
|707.7
| 707.7
|perfect fifth
| perfect fifth
|-
|-
|139
| 139
|712.8
| 712.8
|perfect fifth
| perfect fifth
|-
|-
|140
| 140
|717.9
| 717.9
|perfect fifth
| perfect fifth
|-
|-
|141
| 141
|723.1
| 723.1
|superfifth
| superfifth
|-
|-
|142
| 142
|728.2
| 728.2
|superfifth
| superfifth
|-
|-
|143
| 143
|733.3
| 733.3
|superfifth
| superfifth
|-
|-
|144
| 144
|738.5
| 738.5
|superfifth
| superfifth
|-
|-
|145
| 145
|743.6
| 743.6
|ultrafifth
| ultrafifth
|-
|-
|146
| 146
|748.7
| 748.7
|ultrafifth
| ultrafifth
|-
|-
|147
| 147
|753.8
| 753.8
|ultrafifth
| ultrafifth
|-
|-
|148
| 148
|759.0
| 759.0
|ultrafifth
| ultrafifth
|-
|-
|149
| 149
|764.1
| 764.1
|subminor sixth
| subminor sixth
|-
|-
|150
| 150
|769.2
| 769.2
|subminor sixth
| subminor sixth
|-
|-
|151
| 151
|774.4
| 774.4
|subminor sixth
| subminor sixth
|-
|-
|152
| 152
|779.5
| 779.5
|subminor sixth
| subminor sixth
|-
|-
|153
| 153
|784.6
| 784.6
|minor sixth
| minor sixth
|-
|-
|154
| 154
|789.7
| 789.7
|minor sixth
| minor sixth
|-
|-
|155
| 155
|794.9
| 794.9
|minor sixth
| minor sixth
|-
|-
|156
| 156
|800.0
| 800.0
|minor sixth
| minor sixth
|-
|-
|157
| 157
|805.1
| 805.1
|minor sixth
| minor sixth
|-
|-
|158
| 158
|810.3
| 810.3
|minor sixth
| minor sixth
|-
|-
|159
| 159
|815.4
| 815.4
|minor sixth
| minor sixth
|-
|-
|160
| 160
|820.5
| 820.5
|supraminor sixth
| supraminor sixth
|-
|-
|161
| 161
|825.6
| 825.6
|supraminor sixth
| supraminor sixth
|-
|-
|162
| 162
|830.8
| 830.8
|supraminor sixth
| supraminor sixth
|-
|-
|163
| 163
|835.9
| 835.9
|supraminor sixth
| supraminor sixth
|-
|-
|164
| 164
|841.0
| 841.0
|neutral sixth
| neutral sixth
|-
|-
|165
| 165
|846.2
| 846.2
|neutral sixth
| neutral sixth
|-
|-
|166
| 166
|851.3
| 851.3
|neutral sixth
| neutral sixth
|-
|-
|167
| 167
|856.4
| 856.4
|neutral sixth
| neutral sixth
|-
|-
|168
| 168
|861.5
| 861.5
|submajor sixth
| submajor sixth
|-
|-
|169
| 169
|866.7
| 866.7
|submajor sixth
| submajor sixth
|-
|-
|170
| 170
|871.8
| 871.8
|submajor sixth
| submajor sixth
|-
|-
|171
| 171
|876.9
| 876.9
|submajor sixth
| submajor sixth
|-
|-
|172
| 172
|882.1
| 882.1
|major sixth
| major sixth
|-
|-
|173
| 173
|887.2
| 887.2
|major sixth
| major sixth
|-
|-
|174
| 174
|892.3
| 892.3
|major sixth
| major sixth
|-
|-
|175
| 175
|897.4
| 897.4
|major sixth
| major sixth
|-
|-
|176
| 176
|902.6
| 902.6
|major sixth
| major sixth
|-
|-
|177
| 177
|907.7
| 907.7
|major sixth
| major sixth
|-
|-
|178
| 178
|912.8
| 912.8
|major sixth
| major sixth
|-
|-
|179
| 179
|917.9
| 917.9
|major sixth
| major sixth
|-
|-
|180
| 180
|923.1
| 923.1
|supermajor sixth
| supermajor sixth
|-
|-
|181
| 181
|928.2
| 928.2
|supermajor sixth
| supermajor sixth
|-
|-
|182
| 182
|933.3
| 933.3
|supermajor sixth
| supermajor sixth
|-
|-
|183
| 183
|938.5
| 938.5
|supermajor sixth
| supermajor sixth
|-
|-
|184
| 184
|943.6
| 943.6
|ultramajor sixth
| ultramajor sixth
|-
|-
|185
| 185
|948.7
| 948.7
|ultramajor sixth
| ultramajor sixth
|-
|-
|186
| 186
|953.8
| 953.8
|ultramajor sixth
| ultramajor sixth
|-
|-
|187
| 187
|959.0
| 959.0
|ultramajor sixth
| ultramajor sixth
|-
|-
|188
| 188
|964.1
| 964.1
|subminor seventh
| subminor seventh
|-
|-
|189
| 189
|969.2
| 969.2
|subminor seventh
| subminor seventh
|-
|-
|190
| 190
|974.4
| 974.4
|subminor seventh
| subminor seventh
|-
|-
|191
| 191
|979.5
| 979.5
|subminor seventh
| subminor seventh
|-
|-
|192
| 192
|984.6
| 984.6
|minor seventh
| minor seventh
|-
|-
|193
| 193
|989.7
| 989.7
|minor seventh
| minor seventh
|-
|-
|194
| 194
|994.9
| 994.9
|minor seventh
| minor seventh
|-
|-
|195
| 195
|1000.0
| 1000.0
|minor seventh
| minor seventh
|-
|-
|196
| 196
|1005.1
| 1005.1
|minor seventh
| minor seventh
|-
|-
|197
| 197
|1010.3
| 1010.3
|minor seventh
| minor seventh
|-
|-
|198
| 198
|1015.4
| 1015.4
|minor seventh
| minor seventh
|-
|-
|199
| 199
|1020.5
| 1020.5
|supraminor seventh
| supraminor seventh
|-
|-
|200
| 200
|1025.6
| 1025.6
|supraminor seventh
| supraminor seventh
|-
|-
|201
| 201
|1030.8
| 1030.8
|supraminor seventh
| supraminor seventh
|-
|-
|202
| 202
|1035.9
| 1035.9
|supraminor seventh
| supraminor seventh
|-
|-
|203
| 203
|1041.0
| 1041.0
|neutral seventh
| neutral seventh
|-
|-
|204
| 204
|1046.2
| 1046.2
|neutral seventh
| neutral seventh
|-
|-
|205
| 205
|1051.3
| 1051.3
|neutral seventh
| neutral seventh
|-
|-
|206
| 206
|1056.4
| 1056.4
|neutral seventh
| neutral seventh
|-
|-
|207
| 207
|1061.5
| 1061.5
|submajor seventh
| submajor seventh
|-
|-
|208
| 208
|1066.7
| 1066.7
|submajor seventh
| submajor seventh
|-
|-
|209
| 209
|1071.8
| 1071.8
|submajor seventh
| submajor seventh
|-
|-
|210
| 210
|1076.9
| 1076.9
|submajor seventh
| submajor seventh
|-
|-
|211
| 211
|1082.1
| 1082.1
|major seventh
| major seventh
|-
|-
|212
| 212
|1087.2
| 1087.2
|major seventh
| major seventh
|-
|-
|213
| 213
|1092.3
| 1092.3
|major seventh
| major seventh
|-
|-
|214
| 214
|1097.4
| 1097.4
|major seventh
| major seventh
|-
|-
|215
| 215
|1102.6
| 1102.6
|major seventh
| major seventh
|-
|-
|216
| 216
|1107.7
| 1107.7
|major seventh
| major seventh
|-
|-
|217
| 217
|1112.8
| 1112.8
|major seventh
| major seventh
|-
|-
|218
| 218
|1117.9
| 1117.9
|major seventh
| major seventh
|-
|-
|219
| 219
|1123.1
| 1123.1
|supermajor seventh
| supermajor seventh
|-
|-
|220
| 220
|1128.2
| 1128.2
|supermajor seventh
| supermajor seventh
|-
|-
|221
| 221
|1133.3
| 1133.3
|supermajor seventh
| supermajor seventh
|-
|-
|222
| 222
|1138.5
| 1138.5
|supermajor seventh
| supermajor seventh
|-
|-
|223
| 223
|1143.6
| 1143.6
|ultramajor seventh
| ultramajor seventh
|-
|-
|224
| 224
|1148.7
| 1148.7
|ultramajor seventh
| ultramajor seventh
|-
|-
|225
| 225
|1153.8
| 1153.8
|ultramajor seventh
| ultramajor seventh
|-
|-
|226
| 226
|1159.0
| 1159.0
|ultramajor seventh
| ultramajor seventh
|-
|-
|227
| 227
|1164.1
| 1164.1
|suboctave
| suboctave
|-
|-
|228
| 228
|1169.2
| 1169.2
|suboctave
| suboctave
|-
|-
|229
| 229
|1174.4
| 1174.4
|suboctave
| suboctave
|-
|-
|230
| 230
|1179.5
| 1179.5
|suboctave
| suboctave
|-
|-
|231
| 231
|1184.6
| 1184.6
|suboctave
| suboctave
|-
|-
|232
| 232
|1189.7
| 1189.7
|suboctave
| suboctave
|-
|-
|233
| 233
|1194.9
| 1194.9
|suboctave
| suboctave
|-
|-
|234
| 234
|1200.0
| 1200.0
|perfect octave
| perfect octave
|}
|}
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->