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* <small>Small:</small> absolute cent error < 16 cents.
* <small>Small:</small> absolute cent error < 16 cents.
|
|
|}
== Intervals ==
{| class="wikitable mw-collapsible mw-collapsed"
|+124 EDO Table of Intervals
!Step
!Cents
!Ratio
!JI Ratio Approximations
!Step
|-
| 0
| 0.000
|
| P1
| 0
|-
| 1
| 9.677
|
| ^1
| 1
|-
| 2
| 19.355
|
| ^^1
| 2
|-
| 3
| 29.032
|
| ^^^1
| 3
|-
| 4
| 38.710
|
| ^<sup>4</sup>1
| 4
|-
| 5
| 48.387
|
| vvvA1
| 5
|-
| 6
| 58.065
| <small>[[32/31]]</small>, '''[[31/30]]''', '''<u>[[30/29]]'''</u>, <small>[[29/28]]</small>
| vvA1, ^^d2
| 6
|-
| 7
| 67.742
| <small><small><small>[[28/27]]</small></small></small>, [[27/26]], '''<u>[[26/25]]'''</u>, <small>[[25/24]]</small>
| ^^^d2
| 7
|-
| 8
| 77.419
| <small><small>[[24/23]]</small></small>, '''<u>[[23/22]]'''</u>, <small>[[22/21]]</small>
| v<sup>4</sup>m2
| 8
|-
| 9
| 87.097
| <small>[[21/20]]</small>, [[20/19]]
| vvvm2
| 9
|-
| 10
| 96.774
| <small>[[19/18]]</small>, [[18/17]]
| vvm2
| 10
|-
| 11
| 106.452
| '''[[17/16]]'''
| vm2
| 11
|-
| 12
| 116.129
| <small><small><small>[[16/15]]</small></small></small>, '''<u>[[31/29]]'''</u>, <small><small>[[15/14]]</small></small>
| m2
| 12
|-
| 13
| 125.806
| [[29/27]], <small>[[14/13]]</small>
| ^m2
| 13
|-
| 14
| 135.484
| [[27/25]], <small>[[13/12]]</small>
| ^^m2
| 14
|-
| 15
| 145.161
| '''[[25/23]]'''
| ^^^m2
| 15
|-
| 16
| 154.839
| <small><small><small>[[12/11]]</small></small></small>, <small>[[23/21]]</small>
| ~2
| 16
|-
| 17
| 164.516
| '''<u>[[11/10]]'''</u>
| vvvM2
| 17
|-
| 18
| 174.194
| <small><small>[[32/29]]</small></small>, '''[[21/19]]''', [[31/28]]
| vvM2
| 18
|-
| 19
| 183.871
| '''[[10/9]]'''
| vM2
| 19
|-
| 20
| 193.548
| <small><small><small>[[29/26]]</small></small></small>, '''[[19/17]]''', <small>[[28/25]]</small>
| M2
| 20
|-
| 21
| 203.226
| '''<u>[[9/8]]'''</u>
| ^M2
| 21
|-
| 22
| 212.903
| '''<u>[[26/23]]'''</u>, <small><small>[[17/15]]</small></small>
| ^^M2
| 22
|-
| 23
| 222.581
| '''[[25/22]]'''
| ^^^M2
| 23
|-
| 24
| 232.258
| '''[[8/7]]'''
| ^<sup>4</sup>M2
| 24
|-
| 25
| 241.935
| <small>[[31/27]]</small>, '''<u>[[23/20]]'''</u>
| vvvA2
| 25
|-
| 26
| 251.613
| <small><small>[[15/13]]</small></small>, [[22/19]]
| vvA2, ^^d3
| 26
|-
| 27
| 261.290
| <small><small><small>[[29/25]]</small></small></small>
| ^^^d3
| 27
|-
| 28
| 270.968
| <small><small><small>[[7/6]]</small></small></small>
| v<sup>4</sup>m3
| 28
|-
| 29
| 280.645
| <small>[[27/23]]</small>, '''<u>[[20/17]]'''</u>
| vvvm3
| 29
|-
| 30
| 290.323
| '''[[13/11]]''', <small><small>[[32/27]]</small></small>
| vvm3
| 30
|-
| 31
| 300.000
| <small>[[19/16]]</small>, [[25/21]], <small><small><small>[[31/26]]</small></small></small>
| vm3
| 31
|-
| 32
| 309.677
|
| m3
| 32
|-
| 33
| 319.355
| <small><small>[[6/5]]</small></small>
| ^m3
| 33
|-
| 34
| 329.032
| '''[[29/24]]''', [[23/19]]
| ^^m3
| 34
|-
| 35
| 338.710
| <small>[[17/14]]</small>, [[28/23]]
| ^^^m3
| 35
|-
| 36
| 348.387
| '''[[11/9]]'''
| ~3
| 36
|-
| 37
| 358.065
| <small><small>[[27/22]]</small></small>, '''[[16/13]]'''
| vvvM3
| 37
|-
| 38
| 367.742
| [[21/17]], [[26/21]], <small><small><small>[[31/25]]</small></small></small>
| vvM3
| 38
|-
| 39
| 377.419
|
| vM3
| 39
|-
| 40
| 387.097
| '''<u>[[5/4]]'''</u>
| M3
| 40
|-
| 41
| 396.774
| <small><small><small>[[29/23]]</small></small></small>
| ^M3
| 41
|-
| 42
| 406.452
| [[24/19]], <small>[[19/15]]</small>
| ^^M3
| 42
|-
| 43
| 416.129
| '''[[14/11]]'''
| ^^^M3
| 43
|-
| 44
| 425.806
| '''[[23/18]]''', '''[[32/25]]'''
| ^<sup>4</sup>M3
| 44
|-
| 45
| 435.484
| '''<u>[[9/7]]'''</u>
| vvvA3
| 45
|-
| 46
| 445.161
| [[31/24]], '''[[22/17]]'''
| vvA3, ^^d4
| 46
|-
| 47
| 454.839
| '''<u>[[13/10]]'''</u>
| ^^^d4
| 47
|-
| 48
| 464.516
| <small><small><small>[[30/23]]</small></small></small>, '''<u>[[17/13]]'''</u>
| v<sup>4</sup>4
| 48
|-
| 49
| 474.194
| <small><small>[[21/16]]</small></small>, '''[[25/19]]''', <small><small><small>[[29/22]]</small></small></small>
| vvv4
| 49
|-
| 50
| 483.871
|
| vv4
| 50
|-
| 51
| 493.548
| <small><small><small>[[4/3]]</small></small></small>
| v4
| 51
|-
| 52
| 503.226
|
| P4
| 52
|-
| 53
| 512.903
| <small><small>[[31/23]]</small></small>
| ^4
| 53
|-
| 54
| 522.581
| <small>[[27/20]]</small>, '''<u>[[23/17]]'''</u>
| ^^4
| 54
|-
| 55
| 532.258
| <small><small>[[19/14]]</small></small>, <small><small><small>[[15/11]]</small></small></small>
| ^^^4
| 55
|-
| 56
| 541.935
| '''[[26/19]]'''
| ~4
| 56
|-
| 57
| 551.613
| '''<u>[[11/8]]'''</u>
| vvvA4
| 57
|-
| 58
| 561.290
| <small>[[29/21]]</small>, [[18/13]]
| vvA4
| 58
|-
| 59
| 570.968
| [[25/18]], '''<u>[[32/23]]'''</u>
| vA4
| 59
|-
| 60
| 580.645
| [[7/5]]
| A4
| 60
|-
| 61
| 590.323
| <small><small>[[31/22]]</small></small>
| ^A4
| 61
|-
| 62
| 600.000
| <small>[[24/17]]</small>, <small>[[17/12]]</small>
| ^^A4, vvd5
| 62
|-
| 63
| 609.677
| '''[[27/19]]'''
| vd5
| 63
|-
| 64
| 619.355
| [[10/7]]
| d5
| 64
|-
| 65
| 629.032
| '''<u>[[23/16]]'''</u>
| ^d5
| 65
|-
| 66
| 638.710
| [[13/9]], <small><small><small>[[29/20]]</small></small></small>
| ^^d5
| 66
|-
| 67
| 648.387
| '''<u>[[16/11]]'''</u>
| ^^^d5
| 67
|-
| 68
| 658.065
| '''[[19/13]]'''
| ~5
| 68
|-
| 69
| 667.742
| <small><small><small>[[22/15]]</small></small></small>, '''<u>[[25/17]]'''</u>, <small><small>[[28/19]]</small></small>
| vvv5
| 69
|-
| 70
| 677.419
| <small>[[31/21]]</small>
| vv5
| 70
|-
| 71
| 687.097
|
| v5
| 71
|-
| 72
| 696.774
|
| P5
| 72
|-
| 73
| 706.452
| <small><small><small>[[3/2]]</small></small></small>
| ^5
| 73
|-
| 74
| 716.129
|
| ^^5
| 74
|-
| 75
| 725.806
| <small><small>[[32/21]]</small></small>
| ^^^5
| 75
|-
| 76
| 735.484
| <small><small>[[29/19]]</small></small>, '''<u>[[26/17]]'''</u>, <small><small><small>[[23/15]]</small></small></small>
| ^<sup>4</sup>5
| 76
|-
| 77
| 745.161
| '''<u>[[20/13]]'''</u>
| vvvA5
| 77
|-
| 78
| 754.839
| '''[[17/11]]''', <small><small>[[31/20]]</small></small>
| vvA5, ^^d6
| 78
|-
| 79
| 764.516
| '''<u>[[14/9]]'''</u>
| ^^^d6
| 79
|-
| 80
| 774.194
| '''[[25/16]]'''
| v<sup>4</sup>m6
| 80
|-
| 81
| 783.871
| '''[[11/7]]'''
| vvvm6
| 81
|-
| 82
| 793.548
| <small>[[30/19]]</small>, [[19/12]]
| vvm6
| 82
|-
| 83
| 803.226
| [[27/17]]
| vm6
| 83
|-
| 84
| 812.903
| '''<u>[[8/5]]'''</u>
| m6
| 84
|-
| 85
| 822.581
| <small>[[29/18]]</small>
| ^m6
| 85
|-
| 86
| 832.258
| [[21/13]]
| ^^m6
| 86
|-
| 87
| 841.935
| '''[[13/8]]'''
| ^^^m6
| 87
|-
| 88
| 851.613
| <small><small><small>[[31/19]]</small></small></small>, '''[[18/11]]'''
| ~6
| 88
|-
| 89
| 861.290
| [[23/14]], <small>[[28/17]]</small>
| vvvM6
| 89
|-
| 90
| 870.968
|
| vvM6
| 90
|-
| 91
| 880.645
| <small><small>[[5/3]]</small></small>
| vM6
| 91
|-
| 92
| 890.323
|
| M6
| 92
|-
| 93
| 900.000
| <small>[[32/19]]</small>
| ^M6
| 93
|-
| 94
| 909.677
| <small><small>[[27/16]]</small></small>, '''[[22/13]]'''
| ^^M6
| 94
|-
| 95
| 919.355
| '''<u>[[17/10]]'''</u>
| ^^^M6
| 95
|-
| 96
| 929.032
| <small><small><small>[[29/17]]</small></small></small>, <small><small><small>[[12/7]]</small></small></small>
| ^<sup>4</sup>M6
| 96
|-
| 97
| 938.710
| [[31/18]]
| vvvA6
| 97
|-
| 98
| 948.387
| [[19/11]], <small><small>[[26/15]]</small></small>
| vvA6, ^^d7
| 98
|-
| 99
| 958.065
|
| ^^^d7
| 99
|-
| 100
| 967.742
| '''[[7/4]]'''
| v<sup>4</sup>m7
| 100
|-
| 101
| 977.419
|
| vvvm7
| 101
|-
| 102
| 987.097
| <small><small>[[30/17]]</small></small>, '''<u>[[23/13]]'''</u>
| vvm7
| 102
|-
| 103
| 996.774
| '''<u>[[16/9]]'''</u>
| vm7
| 103
|-
| 104
| 1006.452
| <small>[[25/14]]</small>
| m7
| 104
|-
| 105
| 1016.129
| '''[[9/5]]'''
| ^m7
| 105
|-
| 106
| 1025.806
| <small><small>[[29/16]]</small></small>
| ^^m7
| 106
|-
| 107
| 1035.484
| '''<u>[[20/11]]'''</u>, <small><small><small>[[31/17]]</small></small></small>
| ^^^m7
| 107
|-
| 108
| 1045.161
| <small><small><small>[[11/6]]</small></small></small>
| ~7
| 108
|-
| 109
| 1054.839
|
| vvvM7
| 109
|-
| 110
| 1064.516
| <small>[[24/13]]</small>
| vvM7
| 110
|-
| 111
| 1074.194
| <small>[[13/7]]</small>
| vM7
| 111
|-
| 112
| 1083.871
| <small><small>[[28/15]]</small></small>, <small><small><small>[[15/8]]</small></small></small>
| M7
| 112
|-
| 113
| 1093.548
| '''[[32/17]]'''
| ^M7
| 113
|-
| 114
| 1103.226
| [[17/9]]
| ^^M7
| 114
|-
| 115
| 1112.903
| [[19/10]]
| ^^^M7
| 115
|-
| 116
| 1122.581
| <small>[[21/11]]</small>, <small><small>[[23/12]]</small></small>
| ^<sup>4</sup>M7
| 116
|-
| 117
| 1132.258
| '''<u>[[25/13]]'''</u>, <small><small><small>[[27/14]]</small></small></small>
| vvvA7
| 117
|-
| 118
| 1141.935
| '''<u>[[29/15]]'''</u>, <small>[[31/16]]</small>
| vvA7, ^^d1 +1oct
| 118
|-
| 119
| 1151.613
|
| ^^^d1 +1oct
| 119
|-
| 120
| 1161.290
|
| v<sup>4</sup>1 +1oct
| 120
|-
| 121
| 1170.968
|
| vvv1 +1oct
| 121
|-
| 122
| 1180.645
|
| vv1 +1oct
| 122
|-
| 123
| 1190.323
|
| v1 +1oct
| 123
|-
| 124
| 1200.000
| '''<u>[[2/1]]'''</u>
| P1 +1oct
| 124
|-
| 125
| 1209.677
|
| ^1 +1oct
| 125
|-
| 126
| 1219.355
|
| ^^1 +1oct
| 126
|-
| 127
| 1229.032
|
| ^^^1 +1oct
| 127
|-
| 128
| 1238.710
|
| ^<sup>4</sup>1 +1oct
| 128
|-
| 129
| 1248.387
|
| vvvA1 +1oct
| 129
|-
| 130
| 1258.065
| '''[[31/15]]''', <small>[[29/14]]</small>
| vvA1 +1oct, ^^d2 +1oct
| 130
|-
| 131
| 1267.742
| [[27/13]], <small>[[25/12]]</small>
| ^^^d2 +1oct
| 131
|-
| 132
| 1277.419
| '''<u>[[23/11]]'''</u>
| v<sup>4</sup>m2 +1oct
| 132
|-
| 133
| 1287.097
| <small>[[21/10]]</small>
| vvvm2 +1oct
| 133
|-
| 134
| 1296.774
| <small>[[19/9]]</small>
| vvm2 +1oct
| 134
|-
| 135
| 1306.452
| '''[[17/8]]'''
| vm2 +1oct
| 135
|-
| 136
| 1316.129
| <small><small><small>[[32/15]]</small></small></small>, <small><small>[[15/7]]</small></small>
| m2 +1oct
| 136
|-
| 137
| 1325.806
| <small>[[28/13]]</small>
| ^m2 +1oct
| 137
|-
| 138
| 1335.484
| <small>[[13/6]]</small>
| ^^m2 +1oct
| 138
|-
| 139
| 1345.161
|
| ^^^m2 +1oct
| 139
|-
| 140
| 1354.839
| <small><small><small>[[24/11]]</small></small></small>
| ~2 +1oct
| 140
|-
| 141
| 1364.516
| '''<u>[[11/5]]'''</u>
| vvvM2 +1oct
| 141
|-
| 142
| 1374.194
| [[31/14]]
| vvM2 +1oct
| 142
|-
| 143
| 1383.871
| '''[[20/9]]'''
| vM2 +1oct
| 143
|-
| 144
| 1393.548
| <small><small><small>[[29/13]]</small></small></small>
| M2 +1oct
| 144
|-
| 145
| 1403.226
| '''<u>[[9/4]]'''</u>
| ^M2 +1oct
| 145
|-
| 146
| 1412.903
|
| ^^M2 +1oct
| 146
|-
| 147
| 1422.581
| '''[[25/11]]'''
| ^^^M2 +1oct
| 147
|-
| 148
| 1432.258
| '''[[16/7]]'''
| ^<sup>4</sup>M2 +1oct
| 148
|-
| 149
| 1441.935
| '''<u>[[23/10]]'''</u>
| vvvA2 +1oct
| 149
|-
| 150
| 1451.613
| <small><small>[[30/13]]</small></small>
| vvA2 +1oct, ^^d3 +1oct
| 150
|-
| 151
| 1461.290
|
| ^^^d3 +1oct
| 151
|-
| 152
| 1470.968
| <small><small><small>[[7/3]]</small></small></small>
| v<sup>4</sup>m3 +1oct
| 152
|-
| 153
| 1480.645
|
| vvvm3 +1oct
| 153
|-
| 154
| 1490.323
| '''[[26/11]]'''
| vvm3 +1oct
| 154
|-
| 155
| 1500.000
| <small>[[19/8]]</small>, <small><small><small>[[31/13]]</small></small></small>
| vm3 +1oct
| 155
|-
| 156
| 1509.677
|
| m3 +1oct
| 156
|-
| 157
| 1519.355
| <small><small>[[12/5]]</small></small>
| ^m3 +1oct
| 157
|-
| 158
| 1529.032
| '''[[29/12]]'''
| ^^m3 +1oct
| 158
|-
| 159
| 1538.710
| <small>[[17/7]]</small>
| ^^^m3 +1oct
| 159
|-
| 160
| 1548.387
| '''[[22/9]]'''
| ~3 +1oct
| 160
|-
| 161
| 1558.065
| <small><small>[[27/11]]</small></small>, '''[[32/13]]'''
| vvvM3 +1oct
| 161
|-
| 162
| 1567.742
|
| vvM3 +1oct
| 162
|-
| 163
| 1577.419
|
| vM3 +1oct
| 163
|-
| 164
| 1587.097
| '''<u>[[5/2]]'''</u>
| M3 +1oct
| 164
|-
| 165
| 1596.774
|
| ^M3 +1oct
| 165
|-
| 166
| 1606.452
|
| ^^M3 +1oct
| 166
|-
| 167
| 1616.129
| '''[[28/11]]'''
| ^^^M3 +1oct
| 167
|-
| 168
| 1625.806
| '''[[23/9]]'''
| ^<sup>4</sup>M3 +1oct
| 168
|-
| 169
| 1635.484
| '''<u>[[18/7]]'''</u>
| vvvA3 +1oct
| 169
|-
| 170
| 1645.161
| [[31/12]]
| vvA3 +1oct, ^^d4 +1oct
| 170
|-
| 171
| 1654.839
| '''<u>[[13/5]]'''</u>
| ^^^d4 +1oct
| 171
|-
| 172
| 1664.516
|
| v<sup>4</sup>4 +1oct
| 172
|-
| 173
| 1674.194
| <small><small>[[21/8]]</small></small>, <small><small><small>[[29/11]]</small></small></small>
| vvv4 +1oct
| 173
|-
| 174
| 1683.871
|
| vv4 +1oct
| 174
|-
| 175
| 1693.548
| <small><small><small>[[8/3]]</small></small></small>
| v4 +1oct
| 175
|-
| 176
| 1703.226
|
| P4 +1oct
| 176
|-
| 177
| 1712.903
|
| ^4 +1oct
| 177
|-
| 178
| 1722.581
| <small>[[27/10]]</small>
| ^^4 +1oct
| 178
|-
| 179
| 1732.258
| <small><small>[[19/7]]</small></small>, <small><small><small>[[30/11]]</small></small></small>
| ^^^4 +1oct
| 179
|-
| 180
| 1741.935
|
| ~4 +1oct
| 180
|-
| 181
| 1751.613
| '''<u>[[11/4]]'''</u>
| vvvA4 +1oct
| 181
|-
| 182
| 1761.290
|
| vvA4 +1oct
| 182
|-
| 183
| 1770.968
| [[25/9]]
| vA4 +1oct
| 183
|-
| 184
| 1780.645
| [[14/5]]
| A4 +1oct
| 184
|-
| 185
| 1790.323
| <small><small>[[31/11]]</small></small>
| ^A4 +1oct
| 185
|-
| 186
| 1800.000
| <small>[[17/6]]</small>
| ^^A4 +1oct, vvd5 +1oct
| 186
|-
| 187
| 1809.677
|
| vd5 +1oct
| 187
|-
| 188
| 1819.355
| [[20/7]]
| d5 +1oct
| 188
|-
| 189
| 1829.032
| '''<u>[[23/8]]'''</u>
| ^d5 +1oct
| 189
|-
| 190
| 1838.710
| [[26/9]], <small><small><small>[[29/10]]</small></small></small>
| ^^d5 +1oct
| 190
|-
| 191
| 1848.387
| '''<u>[[32/11]]'''</u>
| ^^^d5 +1oct
| 191
|-
| 192
| 1858.065
|
| ~5 +1oct
| 192
|-
| 193
| 1867.742
|
| vvv5 +1oct
| 193
|-
| 194
| 1877.419
|
| vv5 +1oct
| 194
|-
| 195
| 1887.097
|
| v5 +1oct
| 195
|-
| 196
| 1896.774
|
| P5 +1oct
| 196
|-
| 197
| 1906.452
| <small><small><small>[[3/1]]</small></small></small>
| ^5 +1oct
| 197
|-
| 198
| 1916.129
|
| ^^5 +1oct
| 198
|-
| 199
| 1925.806
|
| ^^^5 +1oct
| 199
|-
| 200
| 1935.484
|
| ^<sup>4</sup>5 +1oct
| 200
|-
| 201
| 1945.161
|
| vvvA5 +1oct
| 201
|-
| 202
| 1954.839
| <small><small>[[31/10]]</small></small>
| vvA5 +1oct, ^^d6 +1oct
| 202
|-
| 203
| 1964.516
| '''<u>[[28/9]]'''</u>
| ^^^d6 +1oct
| 203
|-
| 204
| 1974.194
| '''[[25/8]]'''
| v<sup>4</sup>m6 +1oct
| 204
|-
| 205
| 1983.871
| '''[[22/7]]'''
| vvvm6 +1oct
| 205
|-
| 206
| 1993.548
| [[19/6]]
| vvm6 +1oct
| 206
|-
| 207
| 2003.226
|
| vm6 +1oct
| 207
|}
|}


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[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
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