Table of 171edo intervals: Difference between revisions

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add a column with the help of https://scratch.mit.edu/projects/247966069/, but this project only calculates up to 5 digits
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{| class="wikitable"
{{Breadcrumb|171edo}}
This is a table of all intervals of [[171edo]].
 
<onlyinclude>{| class="wikitable center-all right-1 right-2"
|-
|-
| | Step
! &#35;
| | Five limit
! Cents
| | Seven limit
! 5-limit
| | Eleven limit
! 7-limit
| | Thirteen limit
! 11-limit
! 13-limit
|-
|-
| | 1
| 1
| | 15625/15552
| 7.0175
| |
| [[15625/15552]]
| |
| [[225/224]]
| |
| [[225/224]]
| [[144/143]]
|-
|-
| | 2
| 2
| | 78732/78125
| 14.0351
| |
| [[78732/78125]]
| |
| [[126/125]]
| |
| [[100/99]]
| [[100/99]]
|-
|-
| | 3
| 3
| | 81/80
| 21.0526
| |
| [[81/80]]
| |
| [[81/80]]
| |
| [[81/80]]
| [[78/77]]
|-
|-
| | 4
| 4
| | 3125/3072
| 28.0702
| |
| [[3125/3072]]
| |
| [[64/63]]
| |
| [[56/55]]
| [[56/55]]
|-
|-
| | 5
| 5
| | ?
| 35.0877
| |
| ?
| |
| [[49/48]]
| |
| [[45/44]]
| [[45/44]]
|-
|-
| | 6
| 6
| | 128/125
| 42.1053
| |
| [[128/125]]
| |
| [[128/125]]
| |
| [[128/125]]
| [[40/39]]
|-
|-
| | 7
| 7
| | 250/243
| 49.1228
| |
| [[250/243]]
| |
| [[36/35]]
| |
| [[36/35]]
| [[36/35]]
|-
|-
| | 8
| 8
| | ?
| 56.1404
| |
| ?
| |
| [[405/392]]
| |
| [[33/32]]
| [[33/32]]
|-
|-
| | 9
| 9
| | 648/625
| 63.1579
| |
| [[648/625]]
| |
| [[28/27]]
| |
| [[28/27]]
| [[27/26]]
|-
|-
| | 10
| 10
| | 25/24
| 70.1754
| |
| [[25/24]]
| |
| [[25/24]]
| |
| [[25/24]]
| [[25/24]]
|-
|-
| | 11
| 11
| | ?
| 77.1930
| |
| ?
| |
| [[256/245]]
| |
| [[256/245]]
| [[117/112]]
|-
|-
| | 12
| 12
| | 6561/6250
| 84.2105
| |
| [[6561/6250]]
| |
| [[21/20]]
| |
| [[21/20]]
| [[21/20]]
|-
|-
| | 13
| 13
| | 135/128
| 91.2281
| |
| [[135/128]]
| |
| [[135/128]]
| |
| [[128/121]]
| [[96/91]]
|-
|-
| | 14
| 14
| | 62500/59049
| 98.2456
| |
| [[62500/59049]]
| |
| [[200/189]]
| |
| [[35/33]]
| [[35/33]]
|-
|-
| | 15
| 15
| | 82944/78125
| 105.2632
| |
| [[82944/78125]]
| |
| [[625/588]]
| |
| [[297/280]]
| [[52/49]]
|-
|-
| | 16
| 16
| | 16/15
| 112.2807
| |
| [[16/15]]
| |
| [[16/15]]
| |
| [[16/15]]
| [[16/15]]
|-
|-
| | 17
| 17
| | 3125/2916
| 119.2982
| |
| [[3125/2916]]
| |
| [[15/14]]
| |
| [[15/14]]
| [[15/14]]
|-
|-
| | 18
| 18
| | ?
| 126.3158
| |
| ?
| |
| [[672/625]]
| |
| [[275/256]]
| [[14/13]]
|-
|-
| | 19
| 19
| | 27/25
| 133.3333
| |
| [[27/25]]
| |
| [[27/25]]
| |
| [[27/25]]
| [[27/25]]
|-
|-
| | 20
| 20
| | 625/576
| 140.3509
| |
| [[625/576]]
| |
| [[243/224]]
| |
| [[121/112]]
| [[13/12]]
|-
|-
| | 21
| 21
| | ?
| 147.3684
| |
| ?
| |
| [[49/45]]
| |
| [[12/11]]
| [[12/11]]
|-
|-
| | 22
| 22
| | 2048/1875
| 154.3860
| |
| [[2048/1875]]
| |
| [[35/32]]
| |
| [[35/32]]
| [[35/32]]
|-
|-
| | 23
| 23
| | 800/729
| 161.4035
| |
| [[800/729]]
| |
| [[192/175]]
| |
| [[192/175]]
| [[100/91]]
|-
|-
| | 24
| 24
| | ?
| 168.4211
| |
| ?
| |
| [[54/49]]
| |
| [[11/10]]
| [[11/10]]
|-
|-
| | 25
| 25
| | 3456/3125
| 175.4386
| |
| [[3456/3125]]
| |
| [[448/405]]
| |
| [[256/231]]
| [[72/65]]
|-
|-
| | 26
| 26
| | 10/9
| 182.4561
| |
| [[10/9]]
| |
| [[10/9]]
| |
| [[10/9]]
| [[10/9]]
|-
|-
| | 27
| 27
| | 78125/69984
| 189.4737
| |
| [[78125/69984]]
| |
| [[125/112]]
| |
| [[125/112]]
| [[39/35]]
|-
|-
| | 28
| 28
| | 17496/15625
| 196.4912
| |
| [[17496/15625]]
| |
| [[28/25]]
| |
| [[28/25]]
| [[28/25]]
|-
|-
| | 29
| 29
| | 9/8
| 203.5088
| |
| [[9/8]]
| |
| [[9/8]]
| |
| [[9/8]]
| [[9/8]]
|-
|-
| | 30
| 30
| | 15625/13824
| 210.5263
| |
| [[15625/13824]]
| |
| [[640/567]]
| |
| [[112/99]]
| [[44/39]]
|-
|-
| | 31
| 31
| | ?
| 217.5439
| |
| ?
| |
| [[245/216]]
| |
| [[25/22]]
| [[25/22]]
|-
|-
| | 32
| 32
| | 256/225
| 224.5614
| |
| [[256/225]]
| |
| [[256/225]]
| |
| [[256/225]]
| [[91/80]]
|-
|-
| | 33
| 33
| | 2500/2187
| 231.5789
| |
| [[2500/2187]]
| |
| [[8/7]]
| |
| [[8/7]]
| [[8/7]]
|-
|-
| | 34
| 34
| | ?
| 238.5965
| |
| ?
| |
| [[147/128]]
| |
| [[55/48]]
| [[55/48]]
|-
|-
| | 35
| 35
| | 144/125
| 245.6140
| |
| [[144/125]]
| |
| [[144/125]]
| |
| [[140/121]]
| [[15/13]]
|-
|-
| | 36
| 36
| | 125/108
| 252.6316
| |
| [[125/108]]
| |
| [[81/70]]
| |
| [[81/70]]
| [[52/45]]
|-
|-
| | 37
| 37
| | ?
| 259.6491
| |
| ?
| |
| [[512/441]]
| |
| [[64/55]]
| [[64/55]]
|-
|-
| | 38
| 38
| | 729/625
| 266.6667
| |
| [[729/625]]
| |
| [[7/6]]
| |
| [[7/6]]
| [[7/6]]
|-
|-
| | 39
| 39
| | 75/64
| 273.6842
| |
| [[75/64]]
| |
| [[75/64]]
| |
| [[75/64]]
| [[75/64]]
|-
|-
| | 40
| 40
| | ?
| 280.7018
| |
| ?
| |
| [[147/125]]
| |
| [[88/75]]
| [[88/75]]
|-
|-
| | 41
| 41
| | 18432/15625
| 287.7193
| |
| [[18432/15625]]
| |
| [[189/160]]
| |
| [[33/28]]
| [[13/11]]
|-
|-
| | 42
| 42
| | 32/27
| 294.7368
| |
| [[32/27]]
| |
| [[32/27]]
| |
| [[32/27]]
| [[32/27]]
|-
|-
| | 43
| 43
| | 15625/13122
| 301.7544
| |
| [[15625/13122]]
| |
| [[25/21]]
| |
| [[25/21]]
| [[25/21]]
|-
|-
| | 44
| 44
| | 93312/78125
| 308.7719
| |
| [[93312/78125]]
| |
| [[448/375]]
| |
| [[448/375]]
| [[117/98]]
|-
|-
| | 45
| 45
| | 6/5
| 315.7895
| |
| [[6/5]]
| |
| [[6/5]]
| |
| [[6/5]]
| [[6/5]]
|-
|-
| | 46
| 46
| | 3125/2592
| 322.8070
| |
| [[3125/2592]]
| |
| [[135/112]]
| |
| [[77/64]]
| [[65/54]]
|-
|-
| | 47
| 47
| | ?
| 329.8246
| |
| ?
| |
| [[98/81]]
| |
| [[40/33]]
| [[40/33]]
|-
|-
| | 48
| 48
| | 243/200
| 336.8421
| |
| [[243/200]]
| |
| [[175/144]]
| |
| [[121/100]]
| [[91/75]]
|-
|-
| | 49
| 49
| | 625/512
| 343.8596
| |
| [[625/512]]
| |
| [[128/105]]
| |
| [[128/105]]
| [[39/32]]
|-
|-
| | 50
| 50
| | ?
| 350.8772
| |
| ?
| |
| [[49/40]]
| |
| [[11/9]]
| [[11/9]]
|-
|-
| | 51
| 51
| | 768/625
| 357.8947
| |
| [[768/625]]
| |
| [[315/256]]
| |
| [[275/224]]
| [[16/13]]
|-
|-
| | 52
| 52
| | 100/81
| 364.9123
| |
| [[100/81]]
| |
| [[100/81]]
| |
| [[100/81]]
| [[100/81]]
|-
|-
| | 53
| 53
| | ?
| 371.9298
| |
| ?
| |
| [[243/196]]
| |
| [[99/80]]
| [[26/21]]
|-
|-
| | 54
| 54
| | 3888/3125
| 378.9474
| |
| [[3888/3125]]
| |
| [[56/45]]
| |
| [[56/45]]
| [[56/45]]
|-
|-
| | 55
| 55
| | 5/4
| 385.9649
| |
| [[5/4]]
| |
| [[5/4]]
| |
| [[5/4]]
| [[5/4]]
|-
|-
| | 56
| 56
| | 78125/62208
| 392.9825
| |
| [[78125/62208]]
| |
| [[784/625]]
| |
| [[784/625]]
| [[49/39]]
|-
|-
| | 57
| 57
| | 19683/15625
| 400.0000
| |
| [[19683/15625]]
| |
| [[63/50]]
| |
| [[44/35]]
| [[44/35]]
|-
|-
| | 58
| 58
| | 81/64
| 407.0175
| |
| [[81/64]]
| |
| [[81/64]]
| |
| [[81/64]]
| [[81/64]]
|-
|-
| | 59
| 59
| | 15625/12288
| 414.0351
| |
| [[15625/12288]]
| |
| [[80/63]]
| |
| [[14/11]]
| [[14/11]]
|-
|-
| | 60
| 60
| | ?
| 421.0526
| |
| ?
| |
| [[125/98]]
| |
| [[125/98]]
| [[125/98]]
|-
|-
| | 61
| 61
| | 32/25
| 428.0702
| |
| [[32/25]]
| |
| [[32/25]]
| |
| [[32/25]]
| [[32/25]]
|-
|-
| | 62
| 62
| | 625/486
| 435.0877
| |
| [[625/486]]
| |
| [[9/7]]
| |
| [[9/7]]
| [[9/7]]
|-
|-
| | 63
| 63
| | ?
| 442.1053
| |
| ?
| |
| [[1323/1024]]
| |
| [[128/99]]
| [[84/65]]
|-
|-
| | 64
| 64
| | 162/125
| 449.1228
| |
| [[162/125]]
| |
| [[35/27]]
| |
| [[35/27]]
| [[35/27]]
|-
|-
| | 65
| 65
| | 125/96
| 456.1404
| |
| [[125/96]]
| |
| [[125/96]]
| |
| [[125/96]]
| [[13/10]]
|-
|-
| | 66
| 66
| | ?
| 463.1579
| |
| ?
| |
| [[64/49]]
| |
| [[64/49]]
| [[64/49]]
|-
|-
| | 67
| 67
| | 4096/3125
| 470.1754
| |
| [[4096/3125]]
| |
| [[21/16]]
| |
| [[21/16]]
| [[21/16]]
|-
|-
| | 68
| 68
| | 320/243
| 477.1930
| |
| [[320/243]]
| |
| [[320/243]]
| |
| [[160/121]]
| [[120/91]]
|-
|-
| | 69
| 69
| | 78125/59049
| 484.2105
| |
| [[78125/59049]]
| |
| [[250/189]]
| |
| [[33/25]]
| [[33/25]]
|-
|-
| | 70
| 70
| | 20736/15625
| 491.2281
| |
| [[20736/15625]]
| |
| [[896/675]]
| |
| [[297/224]]
| [[65/49]]
|-
|-
| | 71
| 71
| | 4/3
| 498.2456
| |
| [[4/3]]
| |
| [[4/3]]
| |
| [[4/3]]
| [[4/3]]
|-
|-
| | 72
| 72
| | 15625/11664
| 505.2632
| |
| [[15625/11664]]
| |
| [[75/56]]
| |
| [[75/56]]
| [[75/56]]
|-
|-
| | 73
| 73
| | ?
| 512.2807
| |
| ?
| |
| [[168/125]]
| |
| [[168/125]]
| [[35/26]]
|-
|-
| | 74
| 74
| | 27/20
| 519.2982
| |
| [[27/20]]
| |
| [[27/20]]
| |
| [[27/20]]
| [[27/20]]
|-
|-
| | 75
| 75
| | 3125/2304
| 526.3158
| |
| [[3125/2304]]
| |
| [[256/189]]
| |
| [[224/165]]
| [[65/48]]
|-
|-
| | 76
| 76
| | ?
| 533.3333
| |
| ?
| |
| [[49/36]]
| |
| [[15/11]]
| [[15/11]]
|-
|-
| | 77
| 77
| | 512/375
| 540.3509
| |
| [[512/375]]
| |
| [[175/128]]
| |
| [[175/128]]
| [[143/105]]
|-
|-
| | 78
| 78
| | 1000/729
| 547.3684
| |
| [[1000/729]]
| |
| [[48/35]]
| |
| [[48/35]]
| [[48/35]]
|-
|-
| | 79
| 79
| | ?
| 554.3860
| |
| ?
| |
| [[135/98]]
| |
| [[11/8]]
| [[11/8]]
|-
|-
| | 80
| 80
| | 864/625
| 561.4035
| |
| [[864/625]]
| |
| [[112/81]]
| |
| [[112/81]]
| [[18/13]]
|-
|-
| | 81
| 81
| | 25/18
| 568.4211
| |
| [[25/18]]
| |
| [[25/18]]
| |
| [[25/18]]
| [[25/18]]
|-
|-
| | 82
| 82
| | ?
| 575.4386
| |
| ?
| |
| [[625/448]]
| |
| [[384/275]]
| [[39/28]]
|-
|-
| | 83
| 83
| | 4374/3125
| 582.4561
| |
| [[4374/3125]]
| |
| [[7/5]]
| |
| [[7/5]]
| [[7/5]]
|-
|-
| | 84
| 84
| | 45/32
| 589.4737
| |
| [[45/32]]
| |
| [[45/32]]
| |
| [[45/32]]
| [[45/32]]
|-
|-
| | 85
| 85
| | 78125/55296
| 596.4912
| |
| [[78125/55296]]
| |
| [[343/243]]
| |
| [[140/99]]
| [[55/39]]
|-
|-
| | 86
| 86
| | ?
|603.5088
| |
| ?
| |
| [[486/343]]
| |
| [[99/70]]
| [[78/55]]
|-
|-
| | 87
| 87
| | 64/45
|610.5263
| |
| [[64/45]]
| |
| [[64/45]]
| |
| [[64/45]]
| [[64/45]]
|-
|-
| | 88
| 88
| | 3125/2187
|617.5439
| |
| [[3125/2187]]
| |
| [[10/7]]
| |
| [[10/7]]
| [[10/7]]
|-
|-
| | 89
| 89
| | ?
|624.5614
| |
| ?
| |
| [[735/512]]
| |
| [[275/192]]
| [[56/39]]
|-
|-
| | 90
| 90
| | 36/25
|631.5789
| |
| [[36/25]]
| |
| [[36/25]]
| |
| [[36/25]]
| [[36/25]]
|-
|-
| | 91
| 91
| | 625/432
|638.5965
| |
| [[625/432]]
| |
| [[81/56]]
| |
| [[81/56]]
| [[13/9]]
|-
|-
| | 92
| 92
| | ?
|645.6140
| |
| ?
| |
| [[196/135]]
| |
| [[16/11]]
| [[16/11]]
|-
|-
| | 93
| 93
| | 729/500
|652.6316
| |
| [[729/500]]
| |
| [[35/24]]
| |
| [[35/24]]
| [[35/24]]
|-
|-
| | 94
| 94
| | 375/256
|659.6491
| |
| [[375/256]]
| |
| [[256/175]]
| |
| [[256/175]]
| [[117/80]]
|-
|-
| | 95
| 95
| | ?
|666.6667
| |
| ?
| |
| [[72/49]]
| |
| [[22/15]]
| [[22/15]]
|-
|-
| | 96
| 96
| | 4608/3125
|673.6842
| |
| [[4608/3125]]
| |
| [[189/128]]
| |
| [[165/112]]
| [[65/44]]
|-
|-
| | 97
| 97
| | 40/27
|680.7018
| |
| [[40/27]]
| |
| [[40/27]]
| |
| [[40/27]]
| [[40/27]]
|-
|-
| | 98
| 98
| | 78125/52488
|687.7193
| |
| [[78125/52488]]
| |
| [[125/84]]
| |
| [[125/84]]
| [[52/35]]
|-
|-
| | 99
| 99
| | 23328/15625
|694.7368
| |
| [[23328/15625]]
| |
| [[112/75]]
| |
| [[112/75]]
| [[112/75]]
|-
|-
| | 100
| 100
| | 3/2
| 701.7544
| |
| [[3/2]]
| |
| [[3/2]]
| |
| [[3/2]]
| [[3/2]]
|-
|-
| | 101
| 101
| | 15625/10368
|708.7719
| |
| [[15625/10368]]
| |
| [[675/448]]
| |
| [[385/256]]
| [[98/65]]
|-
|-
| | 102
| 102
| | ?
|715.7895
| |
| ?
| |
| [[189/125]]
| |
| [[50/33]]
| [[50/33]]
|-
|-
| | 103
| 103
| | 243/160
|722.8070
| |
| [[243/160]]
| |
| [[243/160]]
| |
| [[121/80]]
| [[91/60]]
|-
|-
| | 104
| 104
| | 3125/2048
|729.8246
| |
| [[3125/2048]]
| |
| [[32/21]]
| |
| [[32/21]]
| [[32/21]]
|-
|-
| | 105
| 105
| | ?
|736.8421
| |
| ?
| |
| [[49/32]]
| |
| [[49/32]]
| [[49/32]]
|-
|-
| | 106
| 106
| | 192/125
|743.8596
| |
| [[192/125]]
| |
| [[192/125]]
| |
| [[192/125]]
| [[20/13]]
|-
|-
| | 107
| 107
| | 125/81
|750.8772
| |
| [[125/81]]
| |
| [[54/35]]
| |
| [[54/35]]
| [[54/35]]
|-
|-
| | 108
| 108
| | ?
|757.8947
| |
| ?
| |
| [[1215/784]]
| |
| [[99/64]]
| [[65/42]]
|-
|-
| | 109
| 109
| | 972/625
|764.9123
| |
| [[972/625]]
| |
| [[14/9]]
| |
| [[14/9]]
| [[14/9]]
|-
|-
| | 110
| 110
| | 25/16
|771.9298
| |
| [[25/16]]
| |
| [[25/16]]
| |
| [[25/16]]
| [[25/16]]
|-
|-
| | 111
| 111
| | ?
|778.9474
| |
| ?
| |
| [[196/125]]
| |
| [[196/125]]
| [[169/108]]
|-
|-
| | 112
| 112
| | 19683/12500
|785.9649
| |
| [[19683/12500]]
| |
| [[63/40]]
| |
| [[11/7]]
| [[11/7]]
|-
|-
| | 113
| 113
| | 128/81
|792.9825
| |
| [[128/81]]
| |
| [[128/81]]
| |
| [[128/81]]
| [[128/81]]
|-
|-
| | 114
| 114
| | 31250/19683
|800.0000
| |
| [[31250/19683]]
| |
| [[100/63]]
| |
| [[35/22]]
| [[35/22]]
|-
|-
| | 115
| 115
| | ?
|807.0175
| |
| ?
| |
| [[625/392]]
| |
| [[625/392]]
| [[78/49]]
|-
|-
| | 116
| 116
| | 8/5
|814.0351
| |
| [[8/5]]
| |
| [[8/5]]
| |
| [[8/5]]
| [[8/5]]
|-
|-
| | 117
| 117
| | 3125/1944
|821.0526
| |
| [[3125/1944]]
| |
| [[45/28]]
| |
| [[45/28]]
| [[45/28]]
|-
|-
| | 118
| 118
| | ?
|828.0702
| |
| ?
| |
| [[392/243]]
| |
| [[160/99]]
| [[21/13]]
|-
|-
| | 119
| 119
| | 81/50
|835.0877
| |
| [[81/50]]
| |
| [[81/50]]
| |
| [[81/50]]
| [[81/50]]
|-
|-
| | 120
| 120
| | 625/384
|842.1053
| |
| [[625/384]]
| |
| [[512/315]]
| |
| [[363/224]]
| [[13/8]]
|-
|-
| | 121
| 121
| | ?
|849.1228
| |
| ?
| |
| [[49/30]]
| |
| [[18/11]]
| [[18/11]]
|-
|-
| | 122
| 122
| | 1024/625
|856.1404
| |
| [[1024/625]]
| |
| [[105/64]]
| |
| [[105/64]]
| [[64/39]]
|-
|-
| | 123
| 123
| | 400/243
|863.1579
| |
| [[400/243]]
| |
| [[288/175]]
| |
| [[200/121]]
| [[150/91]]
|-
|-
| | 124
| 124
| | ?
|870.1754
| |
| ?
| |
| [[81/49]]
| |
| [[33/20]]
| [[33/20]]
|-
|-
| | 125
| 125
| | 5184/3125
|877.1930
| |
| [[5184/3125]]
| |
| [[224/135]]
| |
| [[128/77]]
| [[108/65]]
|-
|-
| | 126
| 126
| | 5/3
|884.2105
| |
| [[5/3]]
| |
| [[5/3]]
| |
| [[5/3]]
| [[5/3]]
|-
|-
| | 127
| 127
| | 78125/46656
|891.2281
| |
| [[78125/46656]]
| |
| [[375/224]]
| |
| [[375/224]]
| [[117/70]]
|-
|-
| | 128
| 128
| | 26244/15625
|898.2456
| |
| [[26244/15625]]
| |
| [[42/25]]
| |
| [[42/25]]
| [[42/25]]
|-
|-
| | 129
| 129
| | 27/16
|905.2632
| |
| [[27/16]]
| |
| [[27/16]]
| |
| [[27/16]]
| [[27/16]]
|-
|-
| | 130
| 130
| | 15625/9216
|912.2807
| |
| [[15625/9216]]
| |
| [[320/189]]
| |
| [[56/33]]
| [[22/13]]
|-
|-
| | 131
| 131
| | ?
|919.2982
| |
| ?
| |
| [[245/144]]
| |
| [[75/44]]
| [[75/44]]
|-
|-
| | 132
| 132
| | 128/75
|926.3158
| |
| [[128/75]]
| |
| [[128/75]]
| |
| [[128/75]]
| [[128/75]]
|-
|-
| | 133
| 133
| | 1250/729
|933.3333
| |
| [[1250/729]]
| |
| [[12/7]]
| |
| [[12/7]]
| [[12/7]]
|-
|-
| | 134
| 134
| | ?
|940.3509
| |
| ?
| |
| [[441/256]]
| |
| [[55/32]]
| [[55/32]]
|-
|-
| | 135
| 135
| | 216/125
|947.3684
| |
| [[216/125]]
| |
| [[140/81]]
| |
| [[140/81]]
| [[45/26]]
|-
|-
| | 136
| 136
| | 125/72
|954.3860
| |
| [[125/72]]
| |
| [[125/72]]
| |
| [[121/70]]
| [[26/15]]
|-
|-
| | 137
| 137
| | ?
|961.4035
| |
| ?
| |
| [[256/147]]
| |
| [[96/55]]
| [[96/55]]
|-
|-
| | 138
| 138
| | 2187/1250
|968.4211
| |
| [[2187/1250]]
| |
| [[7/4]]
| |
| [[7/4]]
| [[7/4]]
|-
|-
| | 139
| 139
| | 225/128
|975.4386
| |
| [[225/128]]
| |
| [[225/128]]
| |
| [[225/128]]
| [[160/91]]
|-
|-
| | 140
| 140
| | ?
|982.4561
| |
| ?
| |
| [[432/245]]
| |
| [[44/25]]
| [[44/25]]
|-
|-
| | 141
| 141
| | 27648/15625
|989.4737
| |
| [[27648/15625]]
| |
| [[567/320]]
| |
| [[99/56]]
| [[39/22]]
|-
|-
| | 142
| 142
| | 16/9
|996.4912
| |
| [[16/9]]
| |
| [[16/9]]
| |
| [[16/9]]
| [[16/9]]
|-
|-
| | 143
| 143
| | 15625/8748
|1003.5088
| |
| [[15625/8748]]
| |
| [[25/14]]
| |
| [[25/14]]
| [[25/14]]
|-
|-
| | 144
| 144
| | ?
|1010.5263
| |
| ?
| |
| [[224/125]]
| |
| [[224/125]]
| [[70/39]]
|-
|-
| | 145
| 145
| | 9/5
|1017.5439
| |
| [[9/5]]
| |
| [[9/5]]
| |
| [[9/5]]
| [[9/5]]
|-
|-
| | 146
| 146
| | 3125/1728
|1024.5614
| |
| [[3125/1728]]
| |
| [[405/224]]
| |
| [[231/128]]
| [[65/36]]
|-
|-
| | 147
| 147
| | ?
|1031.5789
| |
| ?
| |
| [[49/27]]
| |
| [[20/11]]
| [[20/11]]
|-
|-
| | 148
| 148
| | 729/400
|1038.5965
| |
| [[729/400]]
| |
| [[175/96]]
| |
| [[175/96]]
| [[91/50]]
|-
|-
| | 149
| 149
| | 1875/1024
|1045.6140
| |
| [[1875/1024]]
| |
| [[64/35]]
| |
| [[64/35]]
| [[64/35]]
|-
|-
| | 150
| 150
| | ?
|1052.6316
| |
| ?
| |
| [[90/49]]
| |
| [[11/6]]
| [[11/6]]
|-
|-
| | 151
| 151
| | 1152/625
|1059.6491
| |
| [[1152/625]]
| |
| [[448/243]]
| |
| [[224/121]]
| [[24/13]]
|-
|-
| | 152
| 152
| | 50/27
|1066.6667
| |
| [[50/27]]
| |
| [[50/27]]
| |
| [[50/27]]
| [[50/27]]
|-
|-
| | 153
| 153
| | ?
|1073.6842
| |
| ?
| |
| [[625/336]]
| |
| [[297/160]]
| [[13/7]]
|-
|-
| | 154
| 154
| | 5832/3125
|1080.7018
| |
| [[5832/3125]]
| |
| [[28/15]]
| |
| [[28/15]]
| [[28/15]]
|-
|-
| | 155
| 155
| | 15/8
|1087.7193
| |
| [[15/8]]
| |
| [[15/8]]
| |
| [[15/8]]
| [[15/8]]
|-
|-
| | 156
| 156
| | 78125/41472
|1094.7368
| |
| [[78125/41472]]
| |
| [[1176/625]]
| |
| [[560/297]]
| [[49/26]]
|-
|-
| | 157
| 157
| | 59049/31250
|1101.7544
| |
| [[59049/31250]]
| |
| [[189/100]]
| |
| [[66/35]]
| [[66/35]]
|-
|-
| | 158
| 158
| | 243/128
|1108.7719
| |
| [[243/128]]
| |
| [[243/128]]
| |
| [[121/64]]
| [[91/48]]
|-
|-
| | 159
| 159
| | 12500/6561
|1115.7895
| |
| [[12500/6561]]
| |
| [[40/21]]
| |
| [[21/11]]
| [[21/11]]
|-
|-
| | 160
| 160
| | ?
|1122.8070
| |
| ?
| |
| [[245/128]]
| |
| [[245/128]]
| [[143/75]]
|-
|-
| | 161
| 161
| | 48/25
|1129.8246
| |
| [[48/25]]
| |
| [[48/25]]
| |
| [[48/25]]
| [[25/13]]
|-
|-
| | 162
| 162
| | 625/324
|1136.8421
| |
| [[625/324]]
| |
| [[27/14]]
| |
| [[27/14]]
| [[27/14]]
|-
|-
| | 163
| 163
| | ?
|1143.8596
| |
| ?
| |
| [[784/405]]
| |
| [[64/33]]
| [[64/33]]
|-
|-
| | 164
| 164
| | 243/125
| 1150.8772
| |
| [[243/125]]
| |
| [[35/18]]
| |
| [[35/18]]
| [[35/18]]
|-
|-
| | 165
| 165
| | 125/64
| 1157.8947
| |
| [[125/64]]
| |
| [[125/64]]
| |
| [[125/64]]
| [[39/20]]
|-
|-
| | 166
| 166
| | ?
| 1164.9123
| |
| ?
| |
| [[49/25]]
| |
| [[49/25]]
| [[49/25]]
|-
|-
| | 167
| 167
| | 6144/3125
| 1171.9298
| |
| [[6144/3125]]
| |
| [[63/32]]
| |
| [[55/28]]
| [[55/28]]
|-
|-
| | 168
| 168
| | 160/81
| 1178.9474
| |
| [[160/81]]
| |
| [[160/81]]
| |
| [[160/81]]
| [[77/39]]
|-
|-
| | 169
| 169
| | 78125/39366
|1185.9649
| |
| [[78125/39366]]
| |
| [[125/63]]
| |
| [[99/50]]
| [[99/50]]
|-
|-
| | 170
| 170
| | 31104/15625
| 1192.9825
| |
| [[31104/15625]]
| |
| [[448/225]]
| |
| [[448/225]]
| [[143/72]]
|-
|-
| | 171
| 171
| | 2/1
| 1200.0000
| |  
| [[2/1]]
| |  
| [[2/1]]
| |  
| [[2/1]]
|}
| [[2/1]]
|}</onlyinclude>
 
{{Todo|intro|complete table}}
 
[[Category:11-limit]]
[[Category:11-limit]]
[[Category:13-limit]]
[[Category:13-limit]]
Line 1,038: Line 1,216:
[[Category:5-limit]]
[[Category:5-limit]]
[[Category:7-limit]]
[[Category:7-limit]]
[[Category:intervals]]
[[Category:Tables of edo intervals]]
[[Category:interval list]]
[[Category:Stub]]
[[category:todo:complete table]]

Latest revision as of 05:26, 30 November 2025

< 171edo

This is a table of all intervals of 171edo.

# Cents 5-limit 7-limit 11-limit 13-limit
1 7.0175 15625/15552 225/224 225/224 144/143
2 14.0351 78732/78125 126/125 100/99 100/99
3 21.0526 81/80 81/80 81/80 78/77
4 28.0702 3125/3072 64/63 56/55 56/55
5 35.0877 ? 49/48 45/44 45/44
6 42.1053 128/125 128/125 128/125 40/39
7 49.1228 250/243 36/35 36/35 36/35
8 56.1404 ? 405/392 33/32 33/32
9 63.1579 648/625 28/27 28/27 27/26
10 70.1754 25/24 25/24 25/24 25/24
11 77.1930 ? 256/245 256/245 117/112
12 84.2105 6561/6250 21/20 21/20 21/20
13 91.2281 135/128 135/128 128/121 96/91
14 98.2456 62500/59049 200/189 35/33 35/33
15 105.2632 82944/78125 625/588 297/280 52/49
16 112.2807 16/15 16/15 16/15 16/15
17 119.2982 3125/2916 15/14 15/14 15/14
18 126.3158 ? 672/625 275/256 14/13
19 133.3333 27/25 27/25 27/25 27/25
20 140.3509 625/576 243/224 121/112 13/12
21 147.3684 ? 49/45 12/11 12/11
22 154.3860 2048/1875 35/32 35/32 35/32
23 161.4035 800/729 192/175 192/175 100/91
24 168.4211 ? 54/49 11/10 11/10
25 175.4386 3456/3125 448/405 256/231 72/65
26 182.4561 10/9 10/9 10/9 10/9
27 189.4737 78125/69984 125/112 125/112 39/35
28 196.4912 17496/15625 28/25 28/25 28/25
29 203.5088 9/8 9/8 9/8 9/8
30 210.5263 15625/13824 640/567 112/99 44/39
31 217.5439 ? 245/216 25/22 25/22
32 224.5614 256/225 256/225 256/225 91/80
33 231.5789 2500/2187 8/7 8/7 8/7
34 238.5965 ? 147/128 55/48 55/48
35 245.6140 144/125 144/125 140/121 15/13
36 252.6316 125/108 81/70 81/70 52/45
37 259.6491 ? 512/441 64/55 64/55
38 266.6667 729/625 7/6 7/6 7/6
39 273.6842 75/64 75/64 75/64 75/64
40 280.7018 ? 147/125 88/75 88/75
41 287.7193 18432/15625 189/160 33/28 13/11
42 294.7368 32/27 32/27 32/27 32/27
43 301.7544 15625/13122 25/21 25/21 25/21
44 308.7719 93312/78125 448/375 448/375 117/98
45 315.7895 6/5 6/5 6/5 6/5
46 322.8070 3125/2592 135/112 77/64 65/54
47 329.8246 ? 98/81 40/33 40/33
48 336.8421 243/200 175/144 121/100 91/75
49 343.8596 625/512 128/105 128/105 39/32
50 350.8772 ? 49/40 11/9 11/9
51 357.8947 768/625 315/256 275/224 16/13
52 364.9123 100/81 100/81 100/81 100/81
53 371.9298 ? 243/196 99/80 26/21
54 378.9474 3888/3125 56/45 56/45 56/45
55 385.9649 5/4 5/4 5/4 5/4
56 392.9825 78125/62208 784/625 784/625 49/39
57 400.0000 19683/15625 63/50 44/35 44/35
58 407.0175 81/64 81/64 81/64 81/64
59 414.0351 15625/12288 80/63 14/11 14/11
60 421.0526 ? 125/98 125/98 125/98
61 428.0702 32/25 32/25 32/25 32/25
62 435.0877 625/486 9/7 9/7 9/7
63 442.1053 ? 1323/1024 128/99 84/65
64 449.1228 162/125 35/27 35/27 35/27
65 456.1404 125/96 125/96 125/96 13/10
66 463.1579 ? 64/49 64/49 64/49
67 470.1754 4096/3125 21/16 21/16 21/16
68 477.1930 320/243 320/243 160/121 120/91
69 484.2105 78125/59049 250/189 33/25 33/25
70 491.2281 20736/15625 896/675 297/224 65/49
71 498.2456 4/3 4/3 4/3 4/3
72 505.2632 15625/11664 75/56 75/56 75/56
73 512.2807 ? 168/125 168/125 35/26
74 519.2982 27/20 27/20 27/20 27/20
75 526.3158 3125/2304 256/189 224/165 65/48
76 533.3333 ? 49/36 15/11 15/11
77 540.3509 512/375 175/128 175/128 143/105
78 547.3684 1000/729 48/35 48/35 48/35
79 554.3860 ? 135/98 11/8 11/8
80 561.4035 864/625 112/81 112/81 18/13
81 568.4211 25/18 25/18 25/18 25/18
82 575.4386 ? 625/448 384/275 39/28
83 582.4561 4374/3125 7/5 7/5 7/5
84 589.4737 45/32 45/32 45/32 45/32
85 596.4912 78125/55296 343/243 140/99 55/39
86 603.5088 ? 486/343 99/70 78/55
87 610.5263 64/45 64/45 64/45 64/45
88 617.5439 3125/2187 10/7 10/7 10/7
89 624.5614 ? 735/512 275/192 56/39
90 631.5789 36/25 36/25 36/25 36/25
91 638.5965 625/432 81/56 81/56 13/9
92 645.6140 ? 196/135 16/11 16/11
93 652.6316 729/500 35/24 35/24 35/24
94 659.6491 375/256 256/175 256/175 117/80
95 666.6667 ? 72/49 22/15 22/15
96 673.6842 4608/3125 189/128 165/112 65/44
97 680.7018 40/27 40/27 40/27 40/27
98 687.7193 78125/52488 125/84 125/84 52/35
99 694.7368 23328/15625 112/75 112/75 112/75
100 701.7544 3/2 3/2 3/2 3/2
101 708.7719 15625/10368 675/448 385/256 98/65
102 715.7895 ? 189/125 50/33 50/33
103 722.8070 243/160 243/160 121/80 91/60
104 729.8246 3125/2048 32/21 32/21 32/21
105 736.8421 ? 49/32 49/32 49/32
106 743.8596 192/125 192/125 192/125 20/13
107 750.8772 125/81 54/35 54/35 54/35
108 757.8947 ? 1215/784 99/64 65/42
109 764.9123 972/625 14/9 14/9 14/9
110 771.9298 25/16 25/16 25/16 25/16
111 778.9474 ? 196/125 196/125 169/108
112 785.9649 19683/12500 63/40 11/7 11/7
113 792.9825 128/81 128/81 128/81 128/81
114 800.0000 31250/19683 100/63 35/22 35/22
115 807.0175 ? 625/392 625/392 78/49
116 814.0351 8/5 8/5 8/5 8/5
117 821.0526 3125/1944 45/28 45/28 45/28
118 828.0702 ? 392/243 160/99 21/13
119 835.0877 81/50 81/50 81/50 81/50
120 842.1053 625/384 512/315 363/224 13/8
121 849.1228 ? 49/30 18/11 18/11
122 856.1404 1024/625 105/64 105/64 64/39
123 863.1579 400/243 288/175 200/121 150/91
124 870.1754 ? 81/49 33/20 33/20
125 877.1930 5184/3125 224/135 128/77 108/65
126 884.2105 5/3 5/3 5/3 5/3
127 891.2281 78125/46656 375/224 375/224 117/70
128 898.2456 26244/15625 42/25 42/25 42/25
129 905.2632 27/16 27/16 27/16 27/16
130 912.2807 15625/9216 320/189 56/33 22/13
131 919.2982 ? 245/144 75/44 75/44
132 926.3158 128/75 128/75 128/75 128/75
133 933.3333 1250/729 12/7 12/7 12/7
134 940.3509 ? 441/256 55/32 55/32
135 947.3684 216/125 140/81 140/81 45/26
136 954.3860 125/72 125/72 121/70 26/15
137 961.4035 ? 256/147 96/55 96/55
138 968.4211 2187/1250 7/4 7/4 7/4
139 975.4386 225/128 225/128 225/128 160/91
140 982.4561 ? 432/245 44/25 44/25
141 989.4737 27648/15625 567/320 99/56 39/22
142 996.4912 16/9 16/9 16/9 16/9
143 1003.5088 15625/8748 25/14 25/14 25/14
144 1010.5263 ? 224/125 224/125 70/39
145 1017.5439 9/5 9/5 9/5 9/5
146 1024.5614 3125/1728 405/224 231/128 65/36
147 1031.5789 ? 49/27 20/11 20/11
148 1038.5965 729/400 175/96 175/96 91/50
149 1045.6140 1875/1024 64/35 64/35 64/35
150 1052.6316 ? 90/49 11/6 11/6
151 1059.6491 1152/625 448/243 224/121 24/13
152 1066.6667 50/27 50/27 50/27 50/27
153 1073.6842 ? 625/336 297/160 13/7
154 1080.7018 5832/3125 28/15 28/15 28/15
155 1087.7193 15/8 15/8 15/8 15/8
156 1094.7368 78125/41472 1176/625 560/297 49/26
157 1101.7544 59049/31250 189/100 66/35 66/35
158 1108.7719 243/128 243/128 121/64 91/48
159 1115.7895 12500/6561 40/21 21/11 21/11
160 1122.8070 ? 245/128 245/128 143/75
161 1129.8246 48/25 48/25 48/25 25/13
162 1136.8421 625/324 27/14 27/14 27/14
163 1143.8596 ? 784/405 64/33 64/33
164 1150.8772 243/125 35/18 35/18 35/18
165 1157.8947 125/64 125/64 125/64 39/20
166 1164.9123 ? 49/25 49/25 49/25
167 1171.9298 6144/3125 63/32 55/28 55/28
168 1178.9474 160/81 160/81 160/81 77/39
169 1185.9649 78125/39366 125/63 99/50 99/50
170 1192.9825 31104/15625 448/225 448/225 143/72
171 1200.0000 2/1 2/1 2/1 2/1
Retrieved from "https://en.xen.wiki/index.php?title=Table_of_171edo_intervals&oldid=218214"