230edo: Difference between revisions

CompactStar (talk | contribs)
Created page with "{{Infobox ET}} {{EDO intro|230}} ==Theory== {{Primes in edo|230}} ==Intervals== |- |75 |391.3 |major third |- |76 |396.5 |major third |- |77 |401.7 |major third |- |78 |407.0..."
 
ArrowHead294 (talk | contribs)
mNo edit summary
 
(4 intermediate revisions by 3 users not shown)
Line 1: Line 1:
{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|230}}
{{ED intro}}
==Theory==
{{Primes in edo|230}}
==Intervals==


== Theory ==
=== Odd harmonics ===
{{Harmonics in equal|230}}
== Intervals ==
{| class="wikitable"
|-
! #
! Cents
! Diatonic interval category
|-
| 0
| 0.0
| perfect unison
|-
| 1
| 5.2
| superunison
|-
| 2
| 10.4
| superunison
|-
| 3
| 15.7
| superunison
|-
| 4
| 20.9
| superunison
|-
| 5
| 26.1
| superunison
|-
| 6
| 31.3
| superunison
|-
| 7
| 36.5
| superunison
|-
| 8
| 41.7
| subminor second
|-
| 9
| 47.0
| subminor second
|-
| 10
| 52.2
| subminor second
|-
| 11
| 57.4
| subminor second
|-
| 12
| 62.6
| subminor second
|-
| 13
| 67.8
| subminor second
|-
| 14
| 73.0
| subminor second
|-
| 15
| 78.3
| subminor second
|-
| 16
| 83.5
| minor second
|-
| 17
| 88.7
| minor second
|-
| 18
| 93.9
| minor second
|-
| 19
| 99.1
| minor second
|-
| 20
| 104.3
| minor second
|-
| 21
| 109.6
| minor second
|-
| 22
| 114.8
| minor second
|-
| 23
| 120.0
| supraminor second
|-
| 24
| 125.2
| supraminor second
|-
| 25
| 130.4
| supraminor second
|-
| 26
| 135.7
| supraminor second
|-
| 27
| 140.9
| neutral second
|-
| 28
| 146.1
| neutral second
|-
| 29
| 151.3
| neutral second
|-
| 30
| 156.5
| neutral second
|-
| 31
| 161.7
| submajor second
|-
| 32
| 167.0
| submajor second
|-
| 33
| 172.2
| submajor second
|-
| 34
| 177.4
| submajor second
|-
| 35
| 182.6
| major second
|-
| 36
| 187.8
| major second
|-
| 37
| 193.0
| major second
|-
| 38
| 198.3
| major second
|-
| 39
| 203.5
| major second
|-
| 40
| 208.7
| major second
|-
| 41
| 213.9
| major second
|-
| 42
| 219.1
| major second
|-
| 43
| 224.3
| supermajor second
|-
| 44
| 229.6
| supermajor second
|-
| 45
| 234.8
| supermajor second
|-
| 46
| 240.0
| ultramajor second
|-
| 47
| 245.2
| ultramajor second
|-
| 48
| 250.4
| ultramajor second
|-
| 49
| 255.7
| ultramajor second
|-
| 50
| 260.9
| subminor third
|-
| 51
| 266.1
| subminor third
|-
| 52
| 271.3
| subminor third
|-
|-
|75
| 53
|391.3
| 276.5
|major third
| subminor third
|-
|-
|76
| 54
|396.5
| 281.7
|major third
| minor third
|-
|-
|77
| 55
|401.7
| 287.0
|major third
| minor third
|-
|-
|78
| 56
|407.0
| 292.2
|major third
| minor third
|-
|-
|79
| 57
|412.2
| 297.4
|major third
| minor third
|-
|-
|80
| 58
|417.4
| 302.6
|major third
| minor third
|-
|-
|81
| 59
|422.6
| 307.8
|supermajor third
| minor third
|-
|-
|82
| 60
|427.8
| 313.0
|supermajor third
| minor third
|-
|-
|83
| 61
|433.0
| 318.3
|supermajor third
| minor third
|-
|-
|84
| 62
|438.3
| 323.5
|supermajor third
| supraminor third
|-
|-
|85
| 63
|443.5
| 328.7
|ultramajor third
| supraminor third
|-
|-
|86
| 64
|448.7
| 333.9
|ultramajor third
| supraminor third
|-
|-
|87
| 65
|453.9
| 339.1
|ultramajor third
| supraminor third
|-
|-
|88
| 66
|459.1
| 344.3
|ultramajor third
| neutral third
|-
|-
|89
| 67
|464.3
| 349.6
|subfourth
| neutral third
|-
|-
|90
| 68
|469.6
| 354.8
|subfourth
| neutral third
|-
|-
|91
| 69
|474.8
| 360.0
|subfourth
| submajor third
|-
|-
|92
| 70
|480.0
| 365.2
|perfect fourth
| submajor third
|-
|-
|93
| 71
|485.2
| 370.4
|perfect fourth
| submajor third
|-
|-
|94
| 72
|490.4
| 375.7
|perfect fourth
| submajor third
|-
|-
|95
| 73
|495.7
| 380.9
|perfect fourth
| major third
|-
|-
|96
| 74
|500.9
| 386.1
|perfect fourth
| major third
|-
|-
|97
| 75
|506.1
| 391.3
|perfect fourth
| major third
|-
|-
|98
| 76
|511.3
| 396.5
|perfect fourth
| major third
|-
|-
|99
| 77
|516.5
| 401.7
|perfect fourth
| major third
|-
|-
|100
| 78
|521.7
| 407.0
|superfourth
| major third
|-
|-
|101
| 79
|527.0
| 412.2
|superfourth
| major third
|-
|-
|102
| 80
|532.2
| 417.4
|superfourth
| major third
|-
|-
|103
| 81
|537.4
| 422.6
|superfourth
| supermajor third
|-
|-
|104
| 82
|542.6
| 427.8
|superfourth
| supermajor third
|-
|-
|105
| 83
|547.8
| 433.0
|superfourth
| supermajor third
|-
|-
|106
| 84
|553.0
| 438.3
|superfourth
| supermajor third
|-
|-
|107
| 85
|558.3
| 443.5
|superfourth
| ultramajor third
|-
|-
|108
| 86
|563.5
| 448.7
|low tritone
| ultramajor third
|-
|-
|109
| 87
|568.7
| 453.9
|low tritone
| ultramajor third
|-
|-
|110
| 88
|573.9
| 459.1
|low tritone
| ultramajor third
|-
|-
|111
| 89
|579.1
| 464.3
|low tritone
| subfourth
|-
|-
|112
| 90
|584.3
| 469.6
|low tritone
| subfourth
|-
|-
|113
| 91
|589.6
| 474.8
|low tritone
| subfourth
|-
|-
|114
| 92
|594.8
| 480.0
|low tritone
| perfect fourth
|-
|-
|115
| 93
|600.0
| 485.2
|high tritone
| perfect fourth
|-
|-
|116
| 94
|605.2
| 490.4
|high tritone
| perfect fourth
|-
|-
|117
| 95
|610.4
| 495.7
|high tritone
| perfect fourth
|-
|-
|118
| 96
|615.7
| 500.9
|high tritone
| perfect fourth
|-
|-
|119
| 97
|620.9
| 506.1
|high tritone
| perfect fourth
|-
|-
|120
| 98
|626.1
| 511.3
|high tritone
| perfect fourth
|-
|-
|121
| 99
|631.3
| 516.5
|high tritone
| perfect fourth
|-
|-
|122
| 100
|636.5
| 521.7
|high tritone
| superfourth
|-
|-
|123
| 101
|641.7
| 527.0
|subfifth
| superfourth
|-
|-
|124
| 102
|647.0
| 532.2
|subfifth
| superfourth
|-
|-
|125
| 103
|652.2
| 537.4
|subfifth
| superfourth
|-
|-
|126
| 104
|657.4
| 542.6
|subfifth
| superfourth
|-
|-
|127
| 105
|662.6
| 547.8
|subfifth
| superfourth
|-
|-
|128
| 106
|667.8
| 553.0
|subfifth
| superfourth
|-
|-
|129
| 107
|673.0
| 558.3
|subfifth
| superfourth
|-
|-
|130
| 108
|678.3
| 563.5
|subfifth
| low tritone
|-
|-
|131
| 109
|683.5
| 568.7
|perfect fifth
| low tritone
|-
|-
|132
| 110
|688.7
| 573.9
|perfect fifth
| low tritone
|-
|-
|133
| 111
|693.9
| 579.1
|perfect fifth
| low tritone
|-
|-
|134
| 112
|699.1
| 584.3
|perfect fifth
| low tritone
|-
|-
|135
| 113
|704.3
| 589.6
|perfect fifth
| low tritone
|-
|-
|136
| 114
|709.6
| 594.8
|perfect fifth
| low tritone
|-
|-
|137
| 115
|714.8
| 600.0
|perfect fifth
| high tritone
|-
|-
|138
| 116
|720.0
| 605.2
|superfifth
| high tritone
|-
|-
|139
| 117
|725.2
| 610.4
|superfifth
| high tritone
|-
|-
|140
| 118
|730.4
| 615.7
|superfifth
| high tritone
|-
|-
|141
| 119
|735.7
| 620.9
|superfifth
| high tritone
|-
|-
|142
| 120
|740.9
| 626.1
|ultrafifth
| high tritone
|-
|-
|143
| 121
|746.1
| 631.3
|ultrafifth
| high tritone
|-
|-
|144
| 122
|751.3
| 636.5
|ultrafifth
| high tritone
|-
|-
|145
| 123
|756.5
| 641.7
|ultrafifth
| subfifth
|-
|-
|146
| 124
|761.7
| 647.0
|subminor sixth
| subfifth
|-
|-
|147
| 125
|767.0
| 652.2
|subminor sixth
| subfifth
|-
|-
|148
| 126
|772.2
| 657.4
|subminor sixth
| subfifth
|-
|-
|149
| 127
|777.4
| 662.6
|subminor sixth
| subfifth
|-
|-
|150
| 128
|782.6
| 667.8
|minor sixth
| subfifth
|-
|-
|151
| 129
|787.8
| 673.0
|minor sixth
| subfifth
|-
|-
|152
| 130
|793.0
| 678.3
|minor sixth
| subfifth
|-
|-
|153
| 131
|798.3
| 683.5
|minor sixth
| perfect fifth
|-
|-
|154
| 132
|803.5
| 688.7
|minor sixth
| perfect fifth
|-
|-
|155
| 133
|808.7
| 693.9
|minor sixth
| perfect fifth
|-
|-
|156
| 134
|813.9
| 699.1
|minor sixth
| perfect fifth
|-
|-
|157
| 135
|819.1
| 704.3
|minor sixth
| perfect fifth
|-
|-
|158
| 136
|824.3
| 709.6
|supraminor sixth
| perfect fifth
|-
|-
|159
| 137
|829.6
| 714.8
|supraminor sixth
| perfect fifth
|-
|-
|160
| 138
|834.8
| 720.0
|supraminor sixth
| superfifth
|-
|-
|161
| 139
|840.0
| 725.2
|neutral sixth
| superfifth
|-
|-
|162
| 140
|845.2
| 730.4
|neutral sixth
| superfifth
|-
|-
|163
| 141
|850.4
| 735.7
|neutral sixth
| superfifth
|-
|-
|164
| 142
|855.7
| 740.9
|neutral sixth
| ultrafifth
|-
|-
|165
| 143
|860.9
| 746.1
|submajor sixth
| ultrafifth
|-
|-
|166
| 144
|866.1
| 751.3
|submajor sixth
| ultrafifth
|-
|-
|167
| 145
|871.3
| 756.5
|submajor sixth
| ultrafifth
|-
|-
|168
| 146
|876.5
| 761.7
|submajor sixth
| subminor sixth
|-
|-
|169
| 147
|881.7
| 767.0
|major sixth
| subminor sixth
|-
|-
|170
| 148
|887.0
| 772.2
|major sixth
| subminor sixth
|-
|-
|171
| 149
|892.2
| 777.4
|major sixth
| subminor sixth
|-
|-
|172
| 150
|897.4
| 782.6
|major sixth
| minor sixth
|-
|-
|173
| 151
|902.6
| 787.8
|major sixth
| minor sixth
|-
|-
|174
| 152
|907.8
| 793.0
|major sixth
| minor sixth
|-
|-
|175
| 153
|913.0
| 798.3
|major sixth
| minor sixth
|-
|-
|176
| 154
|918.3
| 803.5
|major sixth
| minor sixth
|-
|-
|177
| 155
|923.5
| 808.7
|supermajor sixth
| minor sixth
|-
|-
|178
| 156
|928.7
| 813.9
|supermajor sixth
| minor sixth
|-
|-
|179
| 157
|933.9
| 819.1
|supermajor sixth
| minor sixth
|-
|-
|180
| 158
|939.1
| 824.3
|supermajor sixth
| supraminor sixth
|-
|-
|181
| 159
|944.3
| 829.6
|ultramajor sixth
| supraminor sixth
|-
|-
|182
| 160
|949.6
| 834.8
|ultramajor sixth
| supraminor sixth
|-
|-
|183
| 161
|954.8
| 840.0
|ultramajor sixth
| neutral sixth
|-
|-
|184
| 162
|960.0
| 845.2
|subminor seventh
| neutral sixth
|-
|-
|185
| 163
|965.2
| 850.4
|subminor seventh
| neutral sixth
|-
|-
|186
| 164
|970.4
| 855.7
|subminor seventh
| neutral sixth
|-
|-
|187
| 165
|975.7
| 860.9
|subminor seventh
| submajor sixth
|-
|-
|188
| 166
|980.9
| 866.1
|minor seventh
| submajor sixth
|-
|-
|189
| 167
|986.1
| 871.3
|minor seventh
| submajor sixth
|-
|-
|190
| 168
|991.3
| 876.5
|minor seventh
| submajor sixth
|-
|-
|191
| 169
|996.5
| 881.7
|minor seventh
| major sixth
|-
|-
|192
| 170
|1001.7
| 887.0
|minor seventh
| major sixth
|-
|-
|193
| 171
|1007.0
| 892.2
|minor seventh
| major sixth
|-
|-
|194
| 172
|1012.2
| 897.4
|minor seventh
| major sixth
|-
|-
|195
| 173
|1017.4
| 902.6
|minor seventh
| major sixth
|-
|-
|196
| 174
|1022.6
| 907.8
|supraminor seventh
| major sixth
|-
|-
|197
| 175
|1027.8
| 913.0
|supraminor seventh
| major sixth
|-
|-
|198
| 176
|1033.0
| 918.3
|supraminor seventh
| major sixth
|-
|-
|199
| 177
|1038.3
| 923.5
|supraminor seventh
| supermajor sixth
|-
|-
|200
| 178
|1043.5
| 928.7
|neutral seventh
| supermajor sixth
|-
|-
|201
| 179
|1048.7
| 933.9
|neutral seventh
| supermajor sixth
|-
|-
|202
| 180
|1053.9
| 939.1
|neutral seventh
| supermajor sixth
|-
|-
|203
| 181
|1059.1
| 944.3
|neutral seventh
| ultramajor sixth
|-
|-
|204
| 182
|1064.3
| 949.6
|submajor seventh
| ultramajor sixth
|-
|-
|205
| 183
|1069.6
| 954.8
|submajor seventh
| ultramajor sixth
|-
|-
|206
| 184
|1074.8
| 960.0
|submajor seventh
| subminor seventh
|-
|-
|207
| 185
|1080.0
| 965.2
|major seventh
| subminor seventh
|-
|-
|208
| 186
|1085.2
| 970.4
|major seventh
| subminor seventh
|-
|-
|209
| 187
|1090.4
| 975.7
|major seventh
| subminor seventh
|-
|-
|210
| 188
|1095.7
| 980.9
|major seventh
| minor seventh
|-
|-
|211
| 189
|1100.9
| 986.1
|major seventh
| minor seventh
|-
|-
|212
| 190
|1106.1
| 991.3
|major seventh
| minor seventh
|-
|-
|213
| 191
|1111.3
| 996.5
|major seventh
| minor seventh
|-
|-
|214
| 192
|1116.5
| 1001.7
|major seventh
| minor seventh
|-
|-
|215
| 193
|1121.7
| 1007.0
|supermajor seventh
| minor seventh
|-
|-
|216
| 194
|1127.0
| 1012.2
|supermajor seventh
| minor seventh
|-
|-
|217
| 195
|1132.2
| 1017.4
|supermajor seventh
| minor seventh
|-
|-
|218
| 196
|1137.4
| 1022.6
|supermajor seventh
| supraminor seventh
|-
|-
|219
| 197
|1142.6
| 1027.8
|ultramajor seventh
| supraminor seventh
|-
|-
|220
| 198
|1147.8
| 1033.0
|ultramajor seventh
| supraminor seventh
|-
|-
|221
| 199
|1153.0
| 1038.3
|ultramajor seventh
| supraminor seventh
|-
|-
|222
| 200
|1158.3
| 1043.5
|ultramajor seventh
| neutral seventh
|-
|-
|223
| 201
|1163.5
| 1048.7
|suboctave
| neutral seventh
|-
|-
|224
| 202
|1168.7
| 1053.9
|suboctave
| neutral seventh
|-
|-
|225
| 203
|1173.9
| 1059.1
|suboctave
| neutral seventh
|-
|-
|226
| 204
|1179.1
| 1064.3
|suboctave
| submajor seventh
|-
|-
|227
| 205
|1184.3
| 1069.6
|suboctave
| submajor seventh
|-
|-
|228
| 206
|1189.6
| 1074.8
|suboctave
| submajor seventh
|-
|-
|229
| 207
|1194.8
| 1080.0
|suboctave
| major seventh
|-
|-
|230
| 208
|1200.0
| 1085.2
|perfect octave
| major seventh
|-
| 209
| 1090.4
| major seventh
|-
| 210
| 1095.7
| major seventh
|-
| 211
| 1100.9
| major seventh
|-
| 212
| 1106.1
| major seventh
|-
| 213
| 1111.3
| major seventh
|-
| 214
| 1116.5
| major seventh
|-
| 215
| 1121.7
| supermajor seventh
|-
| 216
| 1127.0
| supermajor seventh
|-
| 217
| 1132.2
| supermajor seventh
|-
| 218
| 1137.4
| supermajor seventh
|-
| 219
| 1142.6
| ultramajor seventh
|-
| 220
| 1147.8
| ultramajor seventh
|-
| 221
| 1153.0
| ultramajor seventh
|-
| 222
| 1158.3
| ultramajor seventh
|-
| 223
| 1163.5
| suboctave
|-
| 224
| 1168.7
| suboctave
|-
| 225
| 1173.9
| suboctave
|-
| 226
| 1179.1
| suboctave
|-
| 227
| 1184.3
| suboctave
|-
| 228
| 1189.6
| suboctave
|-
| 229
| 1194.8
| suboctave
|-
| 230
| 1200.0
| perfect octave
|}
|}
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
 
{{Stub}}