Xenharmonic Wiki

Table of 94edo intervals: Difference between revisions

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Extend to 23-limit (turns out there's not many distinct intervals of 23). 28/25 and 25/14 was wrong, removed
sed -E "s#[0-9]+/[0-9]+#\\[\\[&\\]\\]#g" 94EDOintervals.txt > 94EDOintervals.new.txt
 
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Assuming 23-limit patent val <94 149 218 264 325 348 384 399 425|.  
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
!| Cents
! Cents
!| 5 limit
! 5 limit
!| 7 limit
! 7 limit
!| 11 limit
! 11 limit
!| 13 limit
! 13 limit
!17 limit
! 17 limit
!19 limit
! 19 limit
!23 limit
! 23 limit
|-
|-
| | 1
| 1
|12.766
| 12.766
| | 3125/3072
| [[3125/3072]]
| | 245/243
| [[245/243]]
| colspan="2" | 99/98
| colspan="2" | [[99/98]]
| colspan="3" |85/84
| colspan="3" | [[85/84]]
|-
|-
| | 2
| 2
|25.532
| 25.532
| | 81/80
| [[81/80]]
| colspan="6" | 50/49
| colspan="6" | [[50/49]]
|-
|-
| | 3
| 3
|38.298
| 38.298
| | 250/243
| [[250/243]]
| | 49/48
| [[49/48]]
| | 45/44
| [[45/44]]
| colspan="4"| 40/39
| colspan="4" | [[40/39]]
|-
|-
| | 4
| 4
|51.064
| 51.064
| | 128/125
| [[128/125]]
| | 36/35
| [[36/35]]
| colspan="5" | 33/32
| colspan="5" | [[33/32]]
|-
|-
| | 5
| 5
|63.830
| 63.830
| colspan="7" | 25/24
| colspan="7" | [[25/24]]
|-
|-
| | 6
| 6
|76.596
| 76.596
| | 648/625
| [[648/625]]
| | 256/245
| [[256/245]]
| colspan="5" | 22/21
| colspan="5" | [[22/21]]
|-
|-
| | 7
| 7
|89.362
| 89.362
| | 135/128
| [[135/128]]
| colspan="4" | 21/20
| colspan="4" | [[21/20]]
| colspan="2" |19/18
| colspan="2" | [[19/18]]
|-
|-
| | 8
| 8
|102.128
| 102.128
| | 3125/2916
| [[3125/2916]]
| | 343/324
| [[343/324]]
| colspan="2" | 35/33
| colspan="2" | [[35/33]]
| colspan="3" |17/16
| colspan="3" | [[17/16]]
|-
|-
| | 9
| 9
|114.894
| 114.894
| | 16/15
| [[16/15]]
| colspan="6" | 15/14
| colspan="6" | [[15/14]]
|-
|-
| | 10
| 10
|127.660
| 127.660
| | 625/576
| [[625/576]]
| | 175/162
| [[175/162]]
| | 121/112
| [[121/112]]
| colspan="4"| 14/13
| colspan="4" | [[14/13]]
|-
|-
| | 11
| 11
|140.426
| 140.426
| colspan="3" | 27/25
| colspan="3" | [[27/25]]
| colspan="4"| 13/12
| colspan="4" | [[13/12]]
|-
|-
| | 12
| 12
|153.191
| 153.191
| | 800/729
| [[800/729]]
| | 35/32
| [[35/32]]
| colspan="5" | 12/11
| colspan="5" | [[12/11]]
|-
|-
| | 13
| 13
|165.957
| 165.957
| | 2048/1875
| [[2048/1875]]
| | 54/49
| [[54/49]]
| colspan="5" | 11/10
| colspan="5" | [[11/10]]
|-
|-
| | 14
| 14
|178.723
| 178.723
| colspan="7" | 10/9
| colspan="7" | [[10/9]]
|-
|-
| | 15
| 15
|191.489
| 191.489
| | 3456/3125
| [[3456/3125]]
| | 384/343
| [[384/343]]
| | 49/44
| [[49/44]]
| colspan="2"| 39/35
| colspan="2" | [[39/35]]
| colspan="2" |19/17
| colspan="2" | [[19/17]]
|-
|-
| | 16
| 16
|204.255
| 204.255
| colspan="7" | 9/8
| colspan="7" | [[9/8]]
|-
|-
| | 17
| 17
|217.021
| 217.021
| | 2500/2187
| [[2500/2187]]
| colspan="3"|25/22
| [[245/216]]
| colspan="3" |17/15
| colspan="2" | [[25/22]]
| colspan="3" | [[17/15]]
|-
|-
| | 18
| 18
|229.787
| 229.787
| | 256/225
| [[256/225]]
| colspan="6" | 8/7
| colspan="6" | [[8/7]]
|-
|-
| | 19
| 19
|242.553
| 242.553
| | 125/108
| colspan="2" | [[125/108]]
| | 125/108
| [[63/55]]
| | 63/55
| colspan="3" | [[15/13]]
| colspan="4"| 15/13
| colspan="1" | [[23/20]]
|-
|-
| | 20
| 20
|255.319
| 255.319
| | 144/125
| [[144/125]]
| colspan="2" | 81/70
| colspan="2" | [[81/70]]
| | 52/45
| [[52/45]]
|51/44
| [[51/44]]
| colspan="2" |22/19
| colspan="2" | [[22/19]]
|-
|-
| | 21
| 21
|268.085
| 268.085
| | 75/64
| [[75/64]]
| colspan="6" | 7/6
| colspan="6" | [[7/6]]
|-
|-
| | 22
| 22
|280.851
| 280.851
| | 729/625
| [[729/625]]
| | 288/245
| [[288/245]]
| colspan="2" | 33/28
| colspan="2" | [[33/28]]
| colspan="3" |20/17
| colspan="3" | [[20/17]]
|-
|-
| | 23
| 23
|293.617
| 293.617
| | 32/27
| [[32/27]]
| colspan="2" | 25/21
| colspan="2" | [[25/21]]
| colspan="4"| 13/11
| colspan="4" | [[13/11]]
|-
|-
| | 24
| 24
|306.383
| 306.383
| | 3125/2592
| [[3125/2592]]
| | 343/288
| [[343/288]]
| colspan="2" | 105/88
| colspan="2" | [[105/88]]
|81/68
| [[81/68]]
|68/57
| [[68/57]]
|55/46
| [[55/46]]
|-
|-
| | 25
| 25
|319.149
| 319.149
| colspan="7" | 6/5
| colspan="7" | [[6/5]]
|-
|-
| | 26
| 26
|331.915
| 331.915
| | 625/512
| [[625/512]]
| | 98/81
| [[98/81]]
| colspan="2" | 40/33
| colspan="2" | [[40/33]]
| colspan="3" |17/14
| colspan="2" | [[17/14]]
| colspan="1" | [[23/19]]
|-
|-
| | 27
| 27
|344.681
| 344.681
| | 243/200
| [[243/200]]
| | 60/49
| [[60/49]]
| colspan="5" | 11/9
| colspan="5" | [[11/9]]
|-
|-
| | 28
| 28
|357.447
| 357.447
| | 100/81
| [[100/81]]
| | 49/40
| [[49/40]]
| | 27/22
| [[27/22]]
| colspan="4"| 16/13
| colspan="4" | [[16/13]]
|-
|-
| | 29
| 29
|370.213
| 370.213
| | 768/625
| [[768/625]]
| | 216/175
| [[216/175]]
| | 99/80
| [[99/80]]
| | 26/21
| [[26/21]]
| colspan="3" |21/17
| colspan="3" | [[21/17]]
|-
|-
| | 30
| 30
|382.979
| 382.979
| colspan="7" | 5/4
| colspan="7" | [[5/4]]
|-
|-
| | 31
| 31
|395.745
| 395.745
| | 3888/3125
| [[3888/3125]]
| | 432/343
| [[432/343]]
| colspan="2" | 44/35
| colspan="2" | [[44/35]]
| colspan="3" |34/27
| colspan="3" | [[34/27]]
|-
|-
| | 32
| 32
|408.511
| 408.511
| | 81/64
| [[81/64]]
| colspan="2"| 63/50
| colspan="2" | [[63/50]]
| colspan="2"| 33/26
| colspan="2" | [[33/26]]
| colspan="2" |19/15
| colspan="2" | [[19/15]]
|-
|-
| | 33
| 33
|421.277
| 421.277
| | 625/486
| [[625/486]]
| | 245/192
| [[245/192]]
| colspan="5" | 14/11
| colspan="4" | [[14/11]]
| colspan="1" | [[23/18]]
|-
|-
| | 34
| 34
|434.043
| 434.043
| | 32/25
| [[32/25]]
| colspan="6" | 9/7
| colspan="6" | [[9/7]]
|-
|-
| | 35
| 35
|446.809
| 446.809
| | 125/96
| [[125/96]]
| colspan="3"| 35/27
| colspan="3" | [[35/27]]
| colspan="3" |22/17
| colspan="3" | [[22/17]]
|-
|-
| | 36
| 36
|459.574
| 459.574
| | 162/125
| [[162/125]]
| | 64/49
| [[64/49]]
| | 55/42
| [[55/42]]
| colspan="4"| 13/10
| colspan="4" | [[13/10]]
|-
|-
| | 37
| 37
|472.340
| 472.340
| | 320/243
| [[320/243]]
| colspan="6" | 21/16
| colspan="6" | [[21/16]]
|-
|-
| | 38
| 38
|485.106
| 485.106
| | 4096/3125
| [[4096/3125]]
| | 324/245
| [[324/245]]
| colspan="5" | 33/25
| colspan="5" | [[33/25]]
|-
|-
| | 39
| 39
|497.872
| 497.872
| colspan="7" | 4/3
| colspan="7" | [[4/3]]
|-
|-
| | 40
| 40
|510.638
| 510.638
| | 3125/2304
| [[3125/2304]]
| | 343/256
| [[343/256]]
| | 66/49
| [[66/49]]
| colspan="4"| 35/26
| colspan="4" | [[35/26]]
|-
|-
| | 41
| 41
|523.404
| 523.404
| colspan="5" | 27/20
| colspan="5" | [[27/20]]
| colspan="2" |19/14
| colspan="1" | [[19/14]]
| colspan="1" | [[23/17]]
|-
|-
| | 42
| 42
|536.170
| 536.170
| | 1000/729
| [[1000/729]]
| | 49/36
| [[49/36]]
| colspan="5" | 15/11
| colspan="5" | [[15/11]]
|-
|-
| | 43
| 43
|548.936
| 548.936
| | 512/375
| [[512/375]]
| | 48/35
| [[48/35]]
| colspan="5" | 11/8
| colspan="5" | [[11/8]]
|-
|-
| | 44
| 44
|561.702
| 561.702
| | 25/18
| [[25/18]]
| colspan="2" | 25/18
| colspan="2" | [[25/18]]
| colspan="4"| 18/13
| colspan="4" | [[18/13]]
|-
|-
| | 45
| 45
|574.468
| 574.468
| | 864/625
| [[864/625]]
| | 243/175
| [[243/175]]
| | 88/63
| [[88/63]]
| colspan="3"| 39/28
| colspan="3" | [[39/28]]
|32/23
| [[32/23]]
|-
|-
| | 46
| 46
|587.234
| 587.234
| | 45/32
| [[45/32]]
| colspan="6" | 7/5
| colspan="6" | [[7/5]]
|-
|-
| | 47
| 47
|600.000
| 600.000
| | 3125/2187
| [[3125/2187]]
| | 343/243
| [[343/243]]
| colspan="2" | 99/70
| colspan="2" | [[99/70]]
| colspan="3" |17/12
| colspan="3" | [[17/12]]
|-
|-
| | 48
| 48
|612.766
| 612.766
| | 64/45
| [[64/45]]
| colspan="6" | 10/7
| colspan="6" | [[10/7]]
|-
|-
| | 49
| 49
|625.532
| 625.532
| | 625/432
| [[625/432]]
| | 343/240
| [[343/240]]
| | 63/44
| [[63/44]]
| colspan="3"| 56/39
| colspan="3" | [[56/39]]
|23/16
| [[23/16]]
|-
|-
| | 50
| 50
|638.298
| 638.298
| | 36/25
| [[36/25]]
| colspan="2" | 36/25
| colspan="2" | [[36/25]]
| colspan="4"| 13/9
| colspan="4" | [[13/9]]
|-
|-
| | 51
| 51
|651.064
| 651.064
| | 375/256
| [[375/256]]
| | 35/24
| [[35/24]]
| colspan="5" | 16/11
| colspan="5" | [[16/11]]
|-
|-
| | 52
| 52
|663.830
| 663.830
| | 729/500
| [[729/500]]
| | 72/49
| [[72/49]]
| colspan="5" | 22/15
| colspan="5" | [[22/15]]
|-
|-
| | 53
| 53
|676.596
| 676.596
| colspan="5" | 40/27
| colspan="5" | [[40/27]]
| colspan="2" |28/19
| colspan="1" | [[28/19]]
| colspan="1" | [[34/23]]
|-
|-
| | 54
| 54
|689.362
| 689.362
| | 4608/3125
| [[4608/3125]]
| | 512/343
| [[512/343]]
| colspan="5" | 49/33
| colspan="5" | [[49/33]]
|-
|-
| | 55
| 55
|702.128
| 702.128
| colspan="7" | 3/2
| colspan="7" | [[3/2]]
|-
|-
| | 56
| 56
|714.894
| 714.894
| | 3125/2048
| [[3125/2048]]
| | 245/162
| [[245/162]]
| colspan="5" | 50/33
| colspan="5" | [[50/33]]
|-
|-
| | 57
| 57
|727.660
| 727.660
| | 243/160
| [[243/160]]
| colspan="6" | 32/21
| colspan="6" | [[32/21]]
|-
|-
| | 58
| 58
|740.426
| 740.426
| | 125/81
| [[125/81]]
| colspan="2" | 49/32
| colspan="2" | [[49/32]]
| colspan="4"| 20/13
| colspan="4" | [[20/13]]
|-
|-
| | 59
| 59
|753.191
| 753.191
| | 192/125
| [[192/125]]
| colspan="3" | 54/35
| colspan="3" | [[54/35]]
| colspan="3" |17/11
| colspan="3" | [[17/11]]
|-
|-
| | 60
| 60
|765.957
| 765.957
| | 25/16
| [[25/16]]
| colspan="6" | 14/9
| colspan="6" | [[14/9]]
|-
|-
| | 61
| 61
|778.723
| 778.723
| | 972/625
| [[972/625]]
| | 384/245
| [[384/245]]
| colspan="5" | 11/7
| colspan="4" | [[11/7]]
| colspan="1" | [[36/23]]
|-
|-
| | 62
| 62
|791.489
| 791.489
| | 128/81
| [[128/81]]
| colspan="2" | 63/40
| colspan="2" | [[63/40]]
| colspan="2"| 52/33
| colspan="2" | [[52/33]]
| colspan="2" |19/12
| colspan="2" | [[19/12]]
|-
|-
| | 63
| 63
|804.255
| 804.255
| | 3125/1944
| [[3125/1944]]
| | 343/216
| [[343/216]]
| colspan="2" | 35/22
| colspan="2" | [[35/22]]
| colspan="3" |27/17
| colspan="3" | [[27/17]]
|-
|-
| | 64
| 64
|817.021
| 817.021
| colspan="7" | 8/5
| colspan="7" | [[8/5]]
|-
|-
| | 65
| 65
|829.787
| 829.787
| | 625/384
| [[625/384]]
| | 175/108
| [[175/108]]
| | 121/75
| [[121/75]]
| colspan="4"| 21/13
| colspan="4" | [[21/13]]
|-
|-
| | 66
| 66
|842.553
| 842.553
| | 81/50
| [[81/50]]
| | 80/49
| [[80/49]]
| | 44/27
| [[44/27]]
| colspan="4"| 13/8
| colspan="4" | [[13/8]]
|-
|-
| | 67
| 67
|855.319
| 855.319
| | 400/243
| [[400/243]]
| | 49/30
| [[49/30]]
| colspan="5" | 18/11
| colspan="5" | [[18/11]]
|-
|-
| | 68
| 68
|868.085
| 868.085
| | 1024/625
| [[1024/625]]
| | 81/49
| [[81/49]]
| colspan="2" | 33/20
| colspan="2" | [[33/20]]
| colspan="3" |28/17
| colspan="2" | [[28/17]]
| colspan="1" | [[38/23]]
|-
|-
| | 69
| 69
|880.851
| 880.851
| colspan="7" | 5/3
| colspan="7" | [[5/3]]
|-
|-
| | 70
| 70
|893.617
| 893.617
| | 5184/3125
| [[5184/3125]]
| | 576/343
| [[576/343]]
| | 121/72
| [[121/72]]
| colspan="2"| 117/70
| colspan="2" | [[117/70]]
| colspan="2" |57/34
| colspan="2" | [[57/34]]
|-
|-
| | 71
| 71
|906.383
| 906.383
| colspan="3" | 27/16
| colspan="3" | [[27/16]]
| colspan="4"| 22/13
| colspan="4" | [[22/13]]
|-
|-
| | 72
| 72
|919.149
| 919.149
| | 1250/729
| [[1250/729]]
| | 245/144
| [[245/144]]
| | 56/33
| [[56/33]]
| | 56/33
| [[56/33]]
| colspan="3" |17/10
| colspan="3" | [[17/10]]
|-
|-
| | 73
| 73
|931.915
| 931.915
| | 128/75
| [[128/75]]
| colspan="6" | 12/7
| colspan="6" | [[12/7]]
|-
|-
| | 74
| 74
|944.681
| 944.681
| colspan="2" | 125/72
| colspan="2" | [[125/72]]
| | 121/70
| [[121/70]]
| colspan="2"| 45/26
| colspan="2" | [[45/26]]
| colspan="2" |19/11
| colspan="2" | [[19/11]]
|-
|-
| | 75
| 75
|957.447
| 957.447
| | 216/125
| colspan="2"| [[216/125]]
| | 216/125
| [[110/63]]
| | 110/63
| colspan="3" | [[26/15]]
| colspan="4"| 26/15
| colspan="1" | [[40/23]]
|-
|-
| | 76
| 76
|970.213
| 970.213
| | 225/128
| [[225/128]]
| colspan="6" | 7/4
| colspan="6" | [[7/4]]
|-
|-
| | 77
| 77
|982.979
| 982.979
| | 2187/1250
| [[2187/1250]]
| | 432/245
| [[432/245]]
| colspan="2" | 44/25
| colspan="2" | [[44/25]]
| colspan="2" |30/17
| colspan="3" | [[30/17]]
|23/13
|-
|-
| | 78
| 78
|995.745
| 995.745
| colspan="7" | 16/9
| colspan="7" | [[16/9]]
|-
|-
| | 79
| 79
|1008.511
| 1008.511
| | 3125/1728
| [[3125/1728]]
|343/192
| [[343/192]]
| colspan="3" |88/49
| colspan="3" | [[88/49]]
| colspan="2" |34/19
| colspan="2" | [[34/19]]
|-
|-
| | 80
| 80
|1021.277
| 1021.277
| colspan="7" | 9/5
| colspan="7" | [[9/5]]
|-
|-
| | 81
| 81
|1034.043
| 1034.043
| | 1875/1024
| [[1875/1024]]
| | 49/27
| [[49/27]]
| colspan="5" | 20/11
| colspan="5" | [[20/11]]
|-
|-
| | 82
| 82
|1046.809
| 1046.809
| | 729/400
| [[729/400]]
| | 64/35
| [[64/35]]
| colspan="5" | 11/6
| colspan="5" | [[11/6]]
|-
|-
| | 83
| 83
|1059.574
| 1059.574
| colspan="3" | 50/27
| colspan="3" | [[50/27]]
| colspan="4"| 24/13
| colspan="4" | [[24/13]]
|-
|-
| | 84
| 84
|1072.340
| 1072.340
| | 1152/625
| [[1152/625]]
| | 324/175
| [[324/175]]
| | 224/121
| [[224/121]]
| colspan="4"| 13/7
| colspan="4" | [[13/7]]
|-
|-
| | 85
| 85
|1085.106
| 1085.106
| colspan="7" | 15/8
| colspan="7" | [[15/8]]
|-
|-
| | 86
| 86
|1097.872
| 1097.872
| | 5832/3125
| [[5832/3125]]
| | 648/343
| [[648/343]]
| | 66/35
| [[66/35]]
| | 49/26
| [[49/26]]
| colspan="3" |17/9
| colspan="3" | [[17/9]]
|-
|-
| | 87
| 87
|1110.638
| 1110.638
| | 243/128
| [[243/128]]
| colspan="4" | 40/21
| colspan="4" | [[40/21]]
| colspan="2" |19/10
| colspan="2" | [[19/10]]
|-
|-
| | 88
| 88
|1123.404
| 1123.404
| | 625/324
| [[625/324]]
| | 245/128
| [[245/128]]
| colspan="5" | 21/11
| colspan="5" | [[21/11]]
|-
|-
| | 89
| 89
|1136.170
| 1136.170
| | 48/25
| [[48/25]]
| colspan="6" | 27/14
| colspan="6" | [[27/14]]
|-
|-
| | 90
| 90
|1148.936
| 1148.936
| | 125/64
| [[125/64]]
| colspan="3" | 35/18
| colspan="3" | [[35/18]]
| colspan="3" |33/17
| colspan="3" | [[33/17]]
|-
|-
| | 91
| 91
|1161.702
| 1161.702
| | 243/125
| [[243/125]]
| | 96/49
| [[96/49]]
| | 55/28
| [[55/28]]
| colspan="4"| 39/20
| colspan="4" | [[39/20]]
|-
|-
| | 92
| 92
|1174.468
| 1174.468
| | 160/81
| [[160/81]]
| colspan="6" | 49/25
| colspan="6" | [[49/25]]
|-
|-
| | 93
| 93
|1187.234
| 1187.234
| | 6144/3125
| [[6144/3125]]
| | 486/245
| [[486/245]]
| colspan="4" | 99/50
| colspan="5" | [[99/50]]
|91/46
|-
|-
| | 94
| 94
|1200.000
| 1200.000
| colspan="7" | 2/1
| 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]]
Retrieved from "https://en.xen.wiki/w/Table_of_94edo_intervals"