Xenharmonic Wiki

Table of 94edo intervals: Difference between revisions

VisualWikitext
Created page with "{| class="wikitable" |- | | Step | | Five limit | | Seven limit | | Eleven limit | | Thirteen limit |- | | 1 | | 15625/15552 | | 1728/1715 | | | | |- | | 2 | | 81/80 | | |..."
 
sed -E "s#[0-9]+/[0-9]+#\\[\\[&\\]\\]#g" 94EDOintervals.txt > 94EDOintervals.new.txt
 
(29 intermediate revisions by 9 users not shown)
Line 1: Line 1:
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
| | 15625/15552
| 12.766
| | 1728/1715
| [[3125/3072]]
| |  
| [[245/243]]
| |  
| colspan="2" | [[99/98]]
| colspan="3" | [[85/84]]
|-
|-
| | 2
| 2
| | 81/80
| 25.532
| |  
| [[81/80]]
| |  
| colspan="6" | [[50/49]]
| |  
|-
| 3
| 38.298
| [[250/243]]
| [[49/48]]
| [[45/44]]
| colspan="4" | [[40/39]]
|-
| 4
| 51.064
| [[128/125]]
| [[36/35]]
| colspan="5" | [[33/32]]
|-
| 5
| 63.830
| colspan="7" | [[25/24]]
|-
| 6
| 76.596
| [[648/625]]
| [[256/245]]
| colspan="5" | [[22/21]]
|-
| 7
| 89.362
| [[135/128]]
| colspan="4" | [[21/20]]
| colspan="2" | [[19/18]]
|-
| 8
| 102.128
| [[3125/2916]]
| [[343/324]]
| colspan="2" | [[35/33]]
| colspan="3" | [[17/16]]
|-
| 9
| 114.894
| [[16/15]]
| colspan="6" | [[15/14]]
|-
| 10
| 127.660
| [[625/576]]
| [[175/162]]
| [[121/112]]
| colspan="4" | [[14/13]]
|-
| 11
| 140.426
| colspan="3" | [[27/25]]
| colspan="4" | [[13/12]]
|-
| 12
| 153.191
| [[800/729]]
| [[35/32]]
| colspan="5" | [[12/11]]
|-
| 13
| 165.957
| [[2048/1875]]
| [[54/49]]
| colspan="5" | [[11/10]]
|-
| 14
| 178.723
| colspan="7" | [[10/9]]
|-
| 15
| 191.489
| [[3456/3125]]
| [[384/343]]
| [[49/44]]
| colspan="2" | [[39/35]]
| colspan="2" | [[19/17]]
|-
| 16
| 204.255
| colspan="7" | [[9/8]]
|-
| 17
| 217.021
| [[2500/2187]]
| [[245/216]]
| colspan="2" | [[25/22]]
| colspan="3" | [[17/15]]
|-
| 18
| 229.787
| [[256/225]]
| colspan="6" | [[8/7]]
|-
| 19
| 242.553
| colspan="2" | [[125/108]]
| [[63/55]]
| colspan="3" | [[15/13]]
| colspan="1" | [[23/20]]
|-
| 20
| 255.319
| [[144/125]]
| colspan="2" | [[81/70]]
| [[52/45]]
| [[51/44]]
| colspan="2" | [[22/19]]
|-
| 21
| 268.085
| [[75/64]]
| colspan="6" | [[7/6]]
|-
| 22
| 280.851
| [[729/625]]
| [[288/245]]
| colspan="2" | [[33/28]]
| colspan="3" | [[20/17]]
|-
| 23
| 293.617
| [[32/27]]
| colspan="2" | [[25/21]]
| colspan="4" | [[13/11]]
|-
| 24
| 306.383
| [[3125/2592]]
| [[343/288]]
| colspan="2" | [[105/88]]
| [[81/68]]
| [[68/57]]
| [[55/46]]
|-
| 25
| 319.149
| colspan="7" | [[6/5]]
|-
| 26
| 331.915
| [[625/512]]
| [[98/81]]
| colspan="2" | [[40/33]]
| colspan="2" | [[17/14]]
| colspan="1" | [[23/19]]
|-
| 27
| 344.681
| [[243/200]]
| [[60/49]]
| colspan="5" | [[11/9]]
|-
| 28
| 357.447
| [[100/81]]
| [[49/40]]
| [[27/22]]
| colspan="4" | [[16/13]]
|-
| 29
| 370.213
| [[768/625]]
| [[216/175]]
| [[99/80]]
| [[26/21]]
| colspan="3" | [[21/17]]
|-
| 30
| 382.979
| colspan="7" | [[5/4]]
|-
| 31
| 395.745
| [[3888/3125]]
| [[432/343]]
| colspan="2" | [[44/35]]
| colspan="3" | [[34/27]]
|-
| 32
| 408.511
| [[81/64]]
| colspan="2" | [[63/50]]
| colspan="2" | [[33/26]]
| colspan="2" | [[19/15]]
|-
| 33
| 421.277
| [[625/486]]
| [[245/192]]
| colspan="4" | [[14/11]]
| colspan="1" | [[23/18]]
|-
| 34
| 434.043
| [[32/25]]
| colspan="6" | [[9/7]]
|-
| 35
| 446.809
| [[125/96]]
| colspan="3" | [[35/27]]
| colspan="3" | [[22/17]]
|-
| 36
| 459.574
| [[162/125]]
| [[64/49]]
| [[55/42]]
| colspan="4" | [[13/10]]
|-
| 37
| 472.340
| [[320/243]]
| colspan="6" | [[21/16]]
|-
| 38
| 485.106
| [[4096/3125]]
| [[324/245]]
| colspan="5" | [[33/25]]
|-
| 39
| 497.872
| colspan="7" | [[4/3]]
|-
| 40
| 510.638
| [[3125/2304]]
| [[343/256]]
| [[66/49]]
| colspan="4" | [[35/26]]
|-
| 41
| 523.404
| colspan="5" | [[27/20]]
| colspan="1" | [[19/14]]
| colspan="1" | [[23/17]]
|-
| 42
| 536.170
| [[1000/729]]
| [[49/36]]
| colspan="5" | [[15/11]]
|-
| 43
| 548.936
| [[512/375]]
| [[48/35]]
| colspan="5" | [[11/8]]
|-
| 44
| 561.702
| [[25/18]]
| colspan="2" | [[25/18]]
| colspan="4" | [[18/13]]
|-
| 45
| 574.468
| [[864/625]]
| [[243/175]]
| [[88/63]]
| colspan="3" | [[39/28]]
| [[32/23]]
|-
| 46
| 587.234
| [[45/32]]
| colspan="6" | [[7/5]]
|-
| 47
| 600.000
| [[3125/2187]]
| [[343/243]]
| colspan="2" | [[99/70]]
| colspan="3" | [[17/12]]
|-
| 48
| 612.766
| [[64/45]]
| colspan="6" | [[10/7]]
|-
| 49
| 625.532
| [[625/432]]
| [[343/240]]
| [[63/44]]
| colspan="3" | [[56/39]]
| [[23/16]]
|-
| 50
| 638.298
| [[36/25]]
| colspan="2" | [[36/25]]
| colspan="4" | [[13/9]]
|-
| 51
| 651.064
| [[375/256]]
| [[35/24]]
| colspan="5" | [[16/11]]
|-
| 52
| 663.830
| [[729/500]]
| [[72/49]]
| colspan="5" | [[22/15]]
|-
| 53
| 676.596
| colspan="5" | [[40/27]]
| colspan="1" | [[28/19]]
| colspan="1" | [[34/23]]
|-
| 54
| 689.362
| [[4608/3125]]
| [[512/343]]
| colspan="5" | [[49/33]]
|-
| 55
| 702.128
| colspan="7" | [[3/2]]
|-
| 56
| 714.894
| [[3125/2048]]
| [[245/162]]
| colspan="5" | [[50/33]]
|-
| 57
| 727.660
| [[243/160]]
| colspan="6" | [[32/21]]
|-
| 58
| 740.426
| [[125/81]]
| colspan="2" | [[49/32]]
| colspan="4" | [[20/13]]
|-
| 59
| 753.191
| [[192/125]]
| colspan="3" | [[54/35]]
| colspan="3" | [[17/11]]
|-
| 60
| 765.957
| [[25/16]]
| colspan="6" | [[14/9]]
|-
| 61
| 778.723
| [[972/625]]
| [[384/245]]
| colspan="4" | [[11/7]]
| colspan="1" | [[36/23]]
|-
| 62
| 791.489
| [[128/81]]
| colspan="2" | [[63/40]]
| colspan="2" | [[52/33]]
| colspan="2" | [[19/12]]
|-
| 63
| 804.255
| [[3125/1944]]
| [[343/216]]
| colspan="2" | [[35/22]]
| colspan="3" | [[27/17]]
|-
| 64
| 817.021
| colspan="7" | [[8/5]]
|-
| 65
| 829.787
| [[625/384]]
| [[175/108]]
| [[121/75]]
| colspan="4" | [[21/13]]
|-
| 66
| 842.553
| [[81/50]]
| [[80/49]]
| [[44/27]]
| colspan="4" | [[13/8]]
|-
| 67
| 855.319
| [[400/243]]
| [[49/30]]
| colspan="5" | [[18/11]]
|-
| 68
| 868.085
| [[1024/625]]
| [[81/49]]
| colspan="2" | [[33/20]]
| colspan="2" | [[28/17]]
| colspan="1" | [[38/23]]
|-
| 69
| 880.851
| colspan="7" | [[5/3]]
|-
| 70
| 893.617
| [[5184/3125]]
| [[576/343]]
| [[121/72]]
| colspan="2" | [[117/70]]
| colspan="2" | [[57/34]]
|-
| 71
| 906.383
| colspan="3" | [[27/16]]
| colspan="4" | [[22/13]]
|-
| 72
| 919.149
| [[1250/729]]
| [[245/144]]
| [[56/33]]
| [[56/33]]
| colspan="3" | [[17/10]]
|-
| 73
| 931.915
| [[128/75]]
| colspan="6" | [[12/7]]
|-
| 74
| 944.681
| colspan="2" | [[125/72]]
| [[121/70]]
| colspan="2" | [[45/26]]
| colspan="2" | [[19/11]]
|-
| 75
| 957.447
|  colspan="2"| [[216/125]]
| [[110/63]]
| colspan="3" | [[26/15]]
| colspan="1" | [[40/23]]
|-
| 76
| 970.213
| [[225/128]]
| colspan="6" | [[7/4]]
|-
| 77
| 982.979
| [[2187/1250]]
| [[432/245]]
| colspan="2" | [[44/25]]
| colspan="3" | [[30/17]]
|-
| 78
| 995.745
| colspan="7" | [[16/9]]
|-
| 79
| 1008.511
| [[3125/1728]]
| [[343/192]]
| colspan="3" | [[88/49]]
| colspan="2" | [[34/19]]
|-
| 80
| 1021.277
| colspan="7" | [[9/5]]
|-
| 81
| 1034.043
| [[1875/1024]]
| [[49/27]]
| colspan="5" | [[20/11]]
|-
| 82
| 1046.809
| [[729/400]]
| [[64/35]]
| colspan="5" | [[11/6]]
|-
| 83
| 1059.574
| colspan="3" | [[50/27]]
| colspan="4" | [[24/13]]
|-
| 84
| 1072.340
| [[1152/625]]
| [[324/175]]
| [[224/121]]
| colspan="4" | [[13/7]]
|-
| 85
| 1085.106
| colspan="7" | [[15/8]]
|-
| 86
| 1097.872
| [[5832/3125]]
| [[648/343]]
| [[66/35]]
| [[49/26]]
| colspan="3" | [[17/9]]
|-
| 87
| 1110.638
| [[243/128]]
| colspan="4" | [[40/21]]
| colspan="2" | [[19/10]]
|-
| 88
| 1123.404
| [[625/324]]
| [[245/128]]
| colspan="5" | [[21/11]]
|-
| 89
| 1136.170
| [[48/25]]
| colspan="6" | [[27/14]]
|-
| 90
| 1148.936
| [[125/64]]
| colspan="3" | [[35/18]]
| colspan="3" | [[33/17]]
|-
| 91
| 1161.702
| [[243/125]]
| [[96/49]]
| [[55/28]]
| colspan="4" | [[39/20]]
|-
| 92
| 1174.468
| [[160/81]]
| colspan="6" | [[49/25]]
|-
| 93
| 1187.234
| [[6144/3125]]
| [[486/245]]
| colspan="5" | [[99/50]]
|-
| 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]]
Retrieved from "https://en.xen.wiki/w/Table_of_94edo_intervals"