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Table of 171edo intervals: Difference between revisions

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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
| | 225/224
| [[15625/15552]]
| | 225/224
| [[225/224]]
| | 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]]
|}</onlyinclude>
 
{{Todo|intro|complete table}}
 
[[Category:11-limit]]
[[Category:11-limit]]
[[Category:13-limit]]
[[Category:13-limit]]
Line 18: 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]]
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