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Table of 94edo intervals: Difference between revisions

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Assuming [[23-limit]] [[patent val]] <94 149 218 264 325 348 384 399 425|, here is a table of intervals as approximated by [[94edo]] steps.
{| class="wikitable"
{| class="wikitable"
|-
|-
| | Step
! Step
| | Five limit
! Cents
| | Seven limit
! 5 limit
| | Eleven limit
! 7 limit
| | Thirteen limit
! 11 limit
! 13 limit
! 17 limit
! 19 limit
! 23 limit
|-
|-
| | 1
| 1
| | 3125/3072
| 12.766
| | 245/243
| [[3125/3072]]
| | 99/98
| [[245/243]]
| | 99/98
| colspan="2" | [[99/98]]
| colspan="3" | [[85/84]]
|-
|-
| | 2
| 2
| | 81/80
| 25.532
| | 50/49
| [[81/80]]
| | 50/49
| colspan="6" | [[50/49]]
| | 50/49
|-
|-
| | 3
| 3
| | 250/243
| 38.298
| | 49/48
| [[250/243]]
| | 45/44
| [[49/48]]
| | 40/39
| [[45/44]]
| colspan="4" | [[40/39]]
|-
|-
| | 4
| 4
| | 128/125
| 51.064
| | 36/35
| [[128/125]]
| | 33/32
| [[36/35]]
| | 33/32
| colspan="5" | [[33/32]]
|-
|-
| | 5
| 5
| |
| 63.830
| |
| colspan="7" | [[25/24]]
| |
| | 25/24
|-
|-
| | 6
| 6
| |
| 76.596
| |
| [[648/625]]
| |
| [[256/245]]
| | 22/21
| colspan="5" | [[22/21]]
|-
|-
| | 7
| 7
| |
| 89.362
| |
| [[135/128]]
| |  
| colspan="4" | [[21/20]]
| | 21/20
| colspan="2" | [[19/18]]
|-
|-
| | 8
| 8
| |  
| 102.128
| |
| [[3125/2916]]
| |  
| [[343/324]]
| | 35/33
| colspan="2" | [[35/33]]
| colspan="3" | [[17/16]]
|-
|-
| | 9
| 9
| |
| 114.894
| |
| [[16/15]]
| |
| colspan="6" | [[15/14]]
| | 15/14
|-
|-
| | 10
| 10
| |  
| 127.660
| |
| [[625/576]]
| |
| [[175/162]]
| | 14/13
| [[121/112]]
| colspan="4" | [[14/13]]
|-
|-
| | 11
| 11
| |
| 140.426
| |
| colspan="3" | [[27/25]]
| |  
| colspan="4" | [[13/12]]
| | 13/12
|-
|-
| | 12
| 12
| |
| 153.191
| |
| [[800/729]]
| |
| [[35/32]]
| | 12/11
| colspan="5" | [[12/11]]
|-
|-
| | 13
| 13
| |
| 165.957
| |
| [[2048/1875]]
| |
| [[54/49]]
| | 11/10
| colspan="5" | [[11/10]]
|-
|-
| | 14
| 14
| | 10/9
| 178.723
| | 10/9
| colspan="7" | [[10/9]]
| | 10/9
| | 10/9
|-
|-
| | 15
| 15
| |  
| 191.489
| |  
| [[3456/3125]]
| |  
| [[384/343]]
| | 39/35
| [[49/44]]
| colspan="2" | [[39/35]]
| colspan="2" | [[19/17]]
|-
|-
| | 16
| 16
| | 9/8
| 204.255
| | 9/8
| colspan="7" | [[9/8]]
| | 9/8
| | 9/8
|-
|-
| | 17
| 17
| |  
| 217.021
| |
| [[2500/2187]]
| |  
| [[245/216]]
| | 25/22
| colspan="2" | [[25/22]]
| colspan="3" | [[17/15]]
|-
|-
| | 18
| 18
| |
| 229.787
| | 8/7
| [[256/225]]
| | 8/7
| colspan="6" | [[8/7]]
| | 8/7
|-
|-
| | 19
| 19
| |
| 242.553
| |  
| colspan="2" | [[125/108]]
| |
| [[63/55]]
| | 15/13
| colspan="3" | [[15/13]]
| colspan="1" | [[23/20]]
|-
|-
| | 20
| 20
| |  
| 255.319
| |  
| [[144/125]]
| |  
| colspan="2" | [[81/70]]
| | 52/45
| [[52/45]]
| [[51/44]]
| colspan="2" | [[22/19]]
|-
|-
| | 21
| 21
| |
| 268.085
| | 7/6
| [[75/64]]
| | 7/6
| colspan="6" | [[7/6]]
| | 7/6
|-
|-
| | 22
| 22
| |  
| 280.851
| |
| [[729/625]]
| |  
| [[288/245]]
| | 33/28
| colspan="2" | [[33/28]]
| colspan="3" | [[20/17]]
|-
|-
| | 23
| 23
| |
| 293.617
| |
| [[32/27]]
| |  
| colspan="2" | [[25/21]]
| | 13/11
| colspan="4" | [[13/11]]
|-
|-
| | 24
| 24
| |  
| 306.383
| |  
| [[3125/2592]]
| |  
| [[343/288]]
| | 105/88
| colspan="2" | [[105/88]]
| [[81/68]]
| [[68/57]]
| [[55/46]]
|-
|-
| | 25
| 25
| | 6/5
| 319.149
| | 6/5
| colspan="7" | [[6/5]]
| | 6/5
| | 6/5
|-
|-
| | 26
| 26
| |  
| 331.915
| |  
| [[625/512]]
| |  
| [[98/81]]
| | 40/33
| colspan="2" | [[40/33]]
| colspan="2" | [[17/14]]
| colspan="1" | [[23/19]]
|-
|-
| | 27
| 27
| |
| 344.681
| |
| [[243/200]]
| |
| [[60/49]]
| | 11/9
| colspan="5" | [[11/9]]
|-
|-
| | 28
| 28
| |  
| 357.447
| |
| [[100/81]]
| |
| [[49/40]]
| | 16/13
| [[27/22]]
| colspan="4" | [[16/13]]
|-
|-
| | 29
| 29
| |  
| 370.213
| |  
| [[768/625]]
| |
| [[216/175]]
| | 26/21
| [[99/80]]
| [[26/21]]
| colspan="3" | [[21/17]]
|-
|-
| | 30
| 30
| | 5/4
| 382.979
| | 5/4
| colspan="7" | [[5/4]]
| | 5/4
| | 5/4
|-
|-
| | 31
| 31
| |  
| 395.745
| |
| [[3888/3125]]
| |  
| [[432/343]]
| | 44/35
| colspan="2" | [[44/35]]
| colspan="3" | [[34/27]]
|-
|-
| | 32
| 32
| |  
| 408.511
| |  
| [[81/64]]
| |  
| colspan="2" | [[63/50]]
| | 33/26
| colspan="2" | [[33/26]]
| colspan="2" | [[19/15]]
|-
|-
| | 33
| 33
| |  
| 421.277
| |
| [[625/486]]
| |  
| [[245/192]]
| |  
| colspan="4" | [[14/11]]
| colspan="1" | [[23/18]]
|-
|-
| | 34
| 34
| |
| 434.043
| | 9/7
| [[32/25]]
| | 9/7
| colspan="6" | [[9/7]]
| | 9/7
|-
|-
| | 35
| 35
| |
| 446.809
| |
| [[125/96]]
| |  
| colspan="3" | [[35/27]]
| |  
| colspan="3" | [[22/17]]
|-
|-
| | 36
| 36
| |  
| 459.574
| |
| [[162/125]]
| |
| [[64/49]]
| |  
| [[55/42]]
| colspan="4" | [[13/10]]
|-
|-
| | 37
| 37
| |
| 472.340
| |
| [[320/243]]
| |
| colspan="6" | [[21/16]]
| |  
|-
|-
| | 38
| 38
| |
| 485.106
| |
| [[4096/3125]]
| |
| [[324/245]]
| |  
| colspan="5" | [[33/25]]
|-
|-
| | 39
| 39
| | 4/3
| 497.872
| | 4/3
| colspan="7" | [[4/3]]
| | 4/3
| | 4/3
|-
|-
| | 40
| 40
| |  
| 510.638
| |
| [[3125/2304]]
| |
| [[343/256]]
| |  
| [[66/49]]
| colspan="4" | [[35/26]]
|-
|-
| | 41
| 41
| |
| 523.404
| |  
| colspan="5" | [[27/20]]
| |  
| colspan="1" | [[19/14]]
| |  
| colspan="1" | [[23/17]]
|-
|-
| | 42
| 42
| |
| 536.170
| |
| [[1000/729]]
| |
| [[49/36]]
| |  
| colspan="5" | [[15/11]]
|-
|-
| | 43
| 43
| |
| 548.936
| |
| [[512/375]]
| |
| [[48/35]]
| |  
| colspan="5" | [[11/8]]
|-
|-
| | 44
| 44
| |
| 561.702
| |
| [[25/18]]
| |  
| colspan="2" | [[25/18]]
| |  
| colspan="4" | [[18/13]]
|-
|-
| | 45
| 45
| |  
| 574.468
| |  
| [[864/625]]
| |  
| [[243/175]]
| |
| [[88/63]]
| colspan="3" | [[39/28]]
| [[32/23]]
|-
|-
| | 46
| 46
| |
| 587.234
| | 7/5
| [[45/32]]
| | 7/5
| colspan="6" | [[7/5]]
| | 7/5
|-
|-
| | 47
| 47
| |  
| 600.000
| |
| [[3125/2187]]
| |  
| [[343/243]]
| |  
| colspan="2" | [[99/70]]
| colspan="3" | [[17/12]]
|-
|-
| | 48
| 48
| |
| 612.766
| | 10/7
| [[64/45]]
| | 10/7
| colspan="6" | [[10/7]]
| | 10/7
|-
|-
| | 49
| 49
| |  
| 625.532
| |  
| [[625/432]]
| |  
| [[343/240]]
| |
| [[63/44]]
| colspan="3" | [[56/39]]
| [[23/16]]
|-
|-
| | 50
| 50
| |
| 638.298
| |
| [[36/25]]
| |  
| colspan="2" | [[36/25]]
| |  
| colspan="4" | [[13/9]]
|-
|-
| | 51
| 51
| |
| 651.064
| |
| [[375/256]]
| |
| [[35/24]]
| |  
| colspan="5" | [[16/11]]
|-
|-
| | 52
| 52
| |
| 663.830
| |
| [[729/500]]
| |
| [[72/49]]
| |  
| colspan="5" | [[22/15]]
|-
|-
| | 53
| 53
| |
| 676.596
| |  
| colspan="5" | [[40/27]]
| |  
| colspan="1" | [[28/19]]
| |  
| colspan="1" | [[34/23]]
|-
|-
| | 54
| 54
| |
| 689.362
| |
| [[4608/3125]]
| |
| [[512/343]]
| |  
| colspan="5" | [[49/33]]
|-
|-
| | 55
| 55
| | 3/2
| 702.128
| | 3/2
| colspan="7" | [[3/2]]
| | 3/2
| | 3/2
|-
|-
| | 56
| 56
| |
| 714.894
| |
| [[3125/2048]]
| |
| [[245/162]]
| |  
| colspan="5" | [[50/33]]
|-
|-
| | 57
| 57
| |
| 727.660
| |
| [[243/160]]
| |
| colspan="6" | [[32/21]]
| |  
|-
|-
| | 58
| 58
| |
| 740.426
| |
| [[125/81]]
| |  
| colspan="2" | [[49/32]]
| |  
| colspan="4" | [[20/13]]
|-
|-
| | 59
| 59
| |
| 753.191
| |
| [[192/125]]
| |  
| colspan="3" | [[54/35]]
| |  
| colspan="3" | [[17/11]]
|-
|-
| | 60
| 60
| |
| 765.957
| | 14/9
| [[25/16]]
| | 14/9
| colspan="6" | [[14/9]]
| | 14/9
|-
|-
| | 61
| 61
| |  
| 778.723
| |
| [[972/625]]
| |  
| [[384/245]]
| |  
| colspan="4" | [[11/7]]
| colspan="1" | [[36/23]]
|-
|-
| | 62
| 62
| |  
| 791.489
| |  
| [[128/81]]
| |  
| colspan="2" | [[63/40]]
| |  
| colspan="2" | [[52/33]]
| colspan="2" | [[19/12]]
|-
|-
| | 63
| 63
| |  
| 804.255
| |
| [[3125/1944]]
| |  
| [[343/216]]
| |  
| colspan="2" | [[35/22]]
| colspan="3" | [[27/17]]
|-
|-
| | 64
| 64
| | 8/5
| 817.021
| | 8/5
| colspan="7" | [[8/5]]
| | 8/5
| | 8/5
|-
|-
| | 65
| 65
| |  
| 829.787
| |
| [[625/384]]
| |
| [[175/108]]
| |  
| [[121/75]]
| colspan="4" | [[21/13]]
|-
|-
| | 66
| 66
| |  
| 842.553
| |
| [[81/50]]
| |
| [[80/49]]
| |  
| [[44/27]]
| colspan="4" | [[13/8]]
|-
|-
| | 67
| 67
| |
| 855.319
| |
| [[400/243]]
| |
| [[49/30]]
| |  
| colspan="5" | [[18/11]]
|-
|-
| | 68
| 68
| |  
| 868.085
| |  
| [[1024/625]]
| |  
| [[81/49]]
| |  
| colspan="2" | [[33/20]]
| colspan="2" | [[28/17]]
| colspan="1" | [[38/23]]
|-
|-
| | 69
| 69
| | 5/3
| 880.851
| | 5/3
| colspan="7" | [[5/3]]
| | 5/3
| | 5/3
|-
|-
| | 70
| 70
| |  
| 893.617
| |  
| [[5184/3125]]
| |  
| [[576/343]]
| |  
| [[121/72]]
| colspan="2" | [[117/70]]
| colspan="2" | [[57/34]]
|-
|-
| | 71
| 71
| |
| 906.383
| |
| colspan="3" | [[27/16]]
| |  
| colspan="4" | [[22/13]]
| |  
|-
|-
| | 72
| 72
| |  
| 919.149
| |  
| [[1250/729]]
| |
| [[245/144]]
| |  
| [[56/33]]
| [[56/33]]
| colspan="3" | [[17/10]]
|-
|-
| | 73
| 73
| |
| 931.915
| | 12/7
| [[128/75]]
| | 12/7
| colspan="6" | [[12/7]]
| | 12/7
|-
|-
| | 74
| 74
| |  
| 944.681
| |
| colspan="2" | [[125/72]]
| |  
| [[121/70]]
| |  
| colspan="2" | [[45/26]]
| colspan="2" | [[19/11]]
|-
|-
| | 75
| 75
| |  
| 957.447
| |
| colspan="2"| [[216/125]]
| |  
| [[110/63]]
| |  
| colspan="3" | [[26/15]]
| colspan="1" | [[40/23]]
|-
|-
| | 76
| 76
| |
| 970.213
| | 7/4
| [[225/128]]
| | 7/4
| colspan="6" | [[7/4]]
| | 7/4
|-
|-
| | 77
| 77
| |  
| 982.979
| |
| [[2187/1250]]
| |  
| [[432/245]]
| |  
| colspan="2" | [[44/25]]
| colspan="3" | [[30/17]]
|-
|-
| | 78
| 78
| | 16/9
| 995.745
| | 16/9
| colspan="7" | [[16/9]]
| | 16/9
| | 16/9
|-
|-
| | 79
| 79
| |  
| 1008.511
| |
| [[3125/1728]]
| |  
| [[343/192]]
| |  
| colspan="3" | [[88/49]]
| colspan="2" | [[34/19]]
|-
|-
| | 80
| 80
| | 9/5
| 1021.277
| | 9/5
| colspan="7" | [[9/5]]
| | 9/5
| | 9/5
|-
|-
| | 81
| 81
| |
| 1034.043
| |
| [[1875/1024]]
| |
| [[49/27]]
| |  
| colspan="5" | [[20/11]]
|-
|-
| | 82
| 82
| |
| 1046.809
| |
| [[729/400]]
| |
| [[64/35]]
| |  
| colspan="5" | [[11/6]]
|-
|-
| | 83
| 83
| |
| 1059.574
| |
| colspan="3" | [[50/27]]
| |  
| colspan="4" | [[24/13]]
| |  
|-
|-
| | 84
| 84
| |  
| 1072.340
| |
| [[1152/625]]
| |
| [[324/175]]
| |  
| [[224/121]]
| colspan="4" | [[13/7]]
|-
|-
| | 85
| 85
| |
| 1085.106
| |
| colspan="7" | [[15/8]]
| |
| |  
|-
|-
| | 86
| 86
| |  
| 1097.872
| |  
| [[5832/3125]]
| |
| [[648/343]]
| |  
| [[66/35]]
| [[49/26]]
| colspan="3" | [[17/9]]
|-
|-
| | 87
| 87
| |
| 1110.638
| |
| [[243/128]]
| |  
| colspan="4" | [[40/21]]
| |  
| colspan="2" | [[19/10]]
|-
|-
| | 88
| 88
| |
| 1123.404
| |
| [[625/324]]
| |
| [[245/128]]
| |  
| colspan="5" | [[21/11]]
|-
|-
| | 89
| 89
| |
| 1136.170
| |
| [[48/25]]
| |
| colspan="6" | [[27/14]]
| |  
|-
|-
| | 90
| 90
| |
| 1148.936
| |
| [[125/64]]
| |  
| colspan="3" | [[35/18]]
| |  
| colspan="3" | [[33/17]]
|-
|-
| | 91
| 91
| |  
| 1161.702
| |
| [[243/125]]
| |
| [[96/49]]
| |  
| [[55/28]]
| colspan="4" | [[39/20]]
|-
|-
| | 92
| 92
| |
| 1174.468
| |
| [[160/81]]
| |
| colspan="6" | [[49/25]]
| |  
|-
|-
| | 93
| 93
| |
| 1187.234
| |
| [[6144/3125]]
| |
| [[486/245]]
| |  
| colspan="5" | [[99/50]]
|-
|-
| | 94
| 94
| |
| 1200.000
| |
| colspan="7" | [[2/1]]
| |
| |  
|}
|}
[[Category:11-limit]]
 
[[Category:13-limit]]
 
{{todo|inline=1|improve synopsis|clarify|text=Explain what are the criteria for a given interval to appear in this table.}}
 
[[Category:Tables of edo intervals]]
[[Category:94edo]]
[[Category:94edo]]
[[Category:5-limit]]
[[Category:5-limit]]
[[Category:7-limit]]
[[Category:7-limit]]
[[Category:intervals]]
[[Category:11-limit]]
[[Category:interval list]]
[[Category:13-limit]]
[[Category:Stub]]
[[category:todo:complete table]]
Retrieved from "https://en.xen.wiki/w/Table_of_94edo_intervals"