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User:Xenoindex/Extended Approximations of 3/2: Difference between revisions

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Line 1: Line 1:
The list of [[EDO]] approximations of [[3/2]] isn't gratuitously massive enough. Each consecutive EDO is the first to have higher accuracy than the previous.
The list of [[EDO]] approximations of [[3/2]] isn't gratuitously massive enough. Each consecutive EDO is the first to have higher accuracy than the previous.


{| class="wikitable left-1 left-2 left-3 left-4 left-5"
Inferior version of this list can be found here: https://oeis.org/A060528
 
{| class="wikitable left-1 left-2 left-3 left-4 left-5 left-6"
|-
|-
! #
! [[EDO]]
! [[EDO]]
! Steps\EDO
! Steps\EDO
Line 8: Line 11:
! [[Cent]] error
! [[Cent]] error
|-
|-
| [[1edo|1]] || 1\1 || 2.0 || 498.044999134612582255513245
! 1
| [[1edo|1]] || 2\1 || 2.0 || 498.044999134612582255513245
|-
|-
! 2
| [[2edo|2]] || 1\2 || 1.41421356237309504880169 || -101.955000865387417744486861
| [[2edo|2]] || 1\2 || 1.41421356237309504880169 || -101.955000865387417744486861
|-
|-
! 3
| [[3edo|3]] || 2\3 || 1.58740105196819947475171 || 98.044999134612582255513245
| [[3edo|3]] || 2\3 || 1.58740105196819947475171 || 98.044999134612582255513245
|-
|-
! 4
| [[5edo|5]] || 3\5 || 1.51571656651039808234726 || 18.044999134612582255513245
| [[5edo|5]] || 3\5 || 1.51571656651039808234726 || 18.044999134612582255513245
|-
|-
! 5
| [[7edo|7]] || 4\7 || 1.48599428913694842479985 || -16.240715151101703458772515
| [[7edo|7]] || 4\7 || 1.48599428913694842479985 || -16.240715151101703458772515
|-
|-
! 6
| [[12edo|12]] || 7\12 || 1.49830707687668149879928 || -1.955000865387417744486755
| [[12edo|12]] || 7\12 || 1.49830707687668149879928 || -1.955000865387417744486755
|-
|-
! 7
| [[29edo|29]] || 17\29 || 1.50129438234633517665815 || 1.493274996681547772754792
| [[29edo|29]] || 17\29 || 1.50129438234633517665815 || 1.493274996681547772754792
|-
|-
! 8
| [[41edo|41]] || 24\41 || 1.50041943305740759449794 || 0.484023524856484694537583
| [[41edo|41]] || 24\41 || 1.50041943305740759449794 || 0.484023524856484694537583
|-
|-
! 9
| [[53edo|53]] || 31\53 || 1.49994090307811116207608 || -0.068208412557229065241532
| [[53edo|53]] || 31\53 || 1.49994090307811116207608 || -0.068208412557229065241532
|-
|-
! 10
| [[200edo|200]] || 117\200 || 1.50003898928581812499439 || 0.044999134612582255513456
| [[200edo|200]] || 117\200 || 1.50003898928581812499439 || 0.044999134612582255513456
|-
|-
! 11
| [[253edo|253]] || 148\253 || 1.50001844105114101570806 || 0.02128371959281940966361
| [[253edo|253]] || 148\253 || 1.50001844105114101570806 || 0.02128371959281940966361
|-
|-
! 12
| [[306edo|306]] || 179\306 || 1.50000501098450678121148 || 0.005783448338072451591578
| [[306edo|306]] || 179\306 || 1.50000501098450678121148 || 0.005783448338072451591578
|-
|-
! 13
| [[359edo|359]] || 210\359 || 1.49999554641367626108487 || -0.005140141153434457578529
| [[359edo|359]] || 210\359 || 1.49999554641367626108487 || -0.005140141153434457578529
|-
|-
! 14
| [[665edo|665]] || 389\665 || 1.49999990153208461095721 || -0.000113647342304962531859
| [[665edo|665]] || 389\665 || 1.49999990153208461095721 || -0.000113647342304962531859
|-
|-
! 15
| [[8286edo|8286]] || 4847\8286 || 1.50000009022263212062914 || 0.000104130992017447403226
| [[8286edo|8286]] || 4847\8286 || 1.50000009022263212062914 || 0.000104130992017447403226
|-
|-
! 16
| [[8951edo|8951]] || 5236\8951 || 1.50000007620417369142151 || 0.000087951504549633459924
| [[8951edo|8951]] || 5236\8951 || 1.50000007620417369142151 || 0.000087951504549633459924
|-
|-
! 17
| [[9616edo|9616]] || 5625\9616 || 1.50000006412462444704482 || 0.000074009820568944365186
| [[9616edo|9616]] || 5625\9616 || 1.50000006412462444704482 || 0.000074009820568944365186
|-
|-
! 18
| [[10281edo|10281]] || 6014\10281 || 1.50000005360774433110183 || 0.000061871700414178478169
| [[10281edo|10281]] || 6014\10281 || 1.50000005360774433110183 || 0.000061871700414178478169
|-
|-
! 19
| [[10946edo|10946]] || 6403\10946 || 1.50000004436872381868319 || 0.000051208429501678133498
| [[10946edo|10946]] || 6403\10946 || 1.50000004436872381868319 || 0.000051208429501678133498
|-
|-
! 20
| [[11611edo|11611]] || 6792\11611 || 1.50000003618800128516929 || 0.000041766599491221149291
| [[11611edo|11611]] || 6792\11611 || 1.50000003618800128516929 || 0.000041766599491221149291
|-
|-
! 21
| [[12276edo|12276]] || 7181\12276 || 1.50000002889359037038189 || 0.000033347711311483274663
| [[12276edo|12276]] || 7181\12276 || 1.50000002889359037038189 || 0.000033347711311483274663
|-
|-
! 22
| [[12941edo|12941]] || 7570\12941 || 1.50000002234885621221076 || 0.000025794067029361610242
| [[12941edo|12941]] || 7570\12941 || 1.50000002234885621221076 || 0.000025794067029361610242
|-
|-
! 23
| [[13606edo|13606]] || 7959\13606 || 1.50000001644387633625219 || 0.000018978798970613590513
| [[13606edo|13606]] || 7959\13606 || 1.50000001644387633625219 || 0.000018978798970613590513
|-
|-
! 24
| [[14271edo|14271]] || 8348\14271 || 1.50000001108921693691276 || 0.000012798686578471615743
| [[14271edo|14271]] || 8348\14271 || 1.50000001108921693691276 || 0.000012798686578471615743
|-
|-
! 25
| [[14936edo|14936]] || 8737\14936 || 1.50000000621137176157035 || 0.000007168892175185347301
| [[14936edo|14936]] || 8737\14936 || 1.50000000621137176157035 || 0.000007168892175185347301
|-
|-
! 26
| [[15601edo|15601]] || 9126\15601 || 1.50000000174936751308689 || 0.000002019043067480819325
| [[15601edo|15601]] || 9126\15601 || 1.50000000174936751308689 || 0.000002019043067480819325
|-
|-
! 27
| [[31867edo|31867]] || 18641\31867 || 1.49999999965803493362325 || -0.00000039468104438019144
| [[31867edo|31867]] || 18641\31867 || 1.49999999965803493362325 || -0.00000039468104438019144
|-
|-
! 28
| [[79335edo|79335]] || 46408\79335 || 1.50000000006928948147653 || 0.000000079970873047723515
| [[79335edo|79335]] || 46408\79335 || 1.50000000006928948147653 || 0.000000079970873047723515
|-
|-
! 29
| [[111202edo|111202]] || 65049\111202 || 1.49999999995143684683217 || -0.000000056049456197032689
| [[111202edo|111202]] || 65049\111202 || 1.49999999995143684683217 || -0.000000056049456197032689
|-
|-
! 30
| [[190537edo|190537]] || 111457\190537 || 1.50000000000050783445818 || 0.000000000586120203523371
| [[190537edo|190537]] || 111457\190537 || 1.50000000000050783445818 || 0.000000000586120203523371
|-
|-
! 31
| [[5446238edo|5446238]] || 3185845\5446238 || 1.49999999999950589661299 || -0.000000000570272404896564
| [[5446238edo|5446238]] || 3185845\5446238 || 1.49999999999950589661299 || -0.000000000570272404896564
|-
|-
! 32
| [[5636775edo|5636775]] || 3297302\5636775 || 1.49999999999953976460155 || -0.000000000531183461585597
| [[5636775edo|5636775]] || 3297302\5636775 || 1.49999999999953976460155 || -0.000000000531183461585597
|-
|-
! 33
| [[5827312edo|5827312]] || 3408759\5827312 || 1.49999999999957141781083 || -0.000000000494650719141249
| [[5827312edo|5827312]] || 3408759\5827312 || 1.49999999999957141781083 || -0.000000000494650719141249
|-
|-
! 34
| [[6017849edo|6017849]] || 3520216\6017849 || 1.49999999999960106661371 || -0.000000000460431374439987
| [[6017849edo|6017849]] || 3520216\6017849 || 1.49999999999960106661371 || -0.000000000460431374439987
|-
|-
! 35
| [[6208386edo|6208386]] || 3631673\6208386 || 1.49999999999962889555746 || -0.000000000428312431125082
| [[6208386edo|6208386]] || 3631673\6208386 || 1.49999999999962889555746 || -0.000000000428312431125082
|-
|-
! 36
| [[6398923edo|6398923]] || 3743130\6398923 || 1.49999999999965506720874 || -0.00000000039810626191364
| [[6398923edo|6398923]] || 3743130\6398923 || 1.49999999999965506720874 || -0.00000000039810626191364
|-
|-
! 37
| [[6589460edo|6589460]] || 3854587\6589460 || 1.49999999999967972533147 || -0.000000000369646940809377
| [[6589460edo|6589460]] || 3854587\6589460 || 1.49999999999967972533147 || -0.000000000369646940809377
|-
|-
! 38
| [[6779997edo|6779997]] || 3966044\6779997 || 1.49999999999970299752889 || -0.000000000342787193765153
| [[6779997edo|6779997]] || 3966044\6779997 || 1.49999999999970299752889 || -0.000000000342787193765153
|-
|-
! 39
| [[6970534edo|6970534]] || 4077501\6970534 || 1.49999999999972499745228 || -0.000000000317395849464268
| [[6970534edo|6970534]] || 4077501\6970534 || 1.49999999999972499745228 || -0.000000000317395849464268
|-
|-
! 40
| [[7161071edo|7161071]] || 4188958\7161071 || 1.4999999999997458266571 || -0.000000000293355697063811
| [[7161071edo|7161071]] || 4188958\7161071 || 1.4999999999997458266571 || -0.000000000293355697063811
|-
|-
! 41
| [[7351608edo|7351608]] || 4300415\7351608 || 1.49999999999976557617046 || -0.000000000270561677079557
| [[7351608edo|7351608]] || 4300415\7351608 || 1.49999999999976557617046 || -0.000000000270561677079557
|-
|-
! 42
| [[7542145edo|7542145]] || 4411872\7542145 || 1.499999999999784327821 || -0.00000000024891934648456
| [[7542145edo|7542145]] || 4411872\7542145 || 1.499999999999784327821 || -0.00000000024891934648456
|-
|-
! 43
| [[7732682edo|7732682]] || 4523329\7732682 || 1.49999999999980215537218 || -0.000000000228343570739502
| [[7732682edo|7732682]] || 4523329\7732682 || 1.49999999999980215537218 || -0.000000000228343570739502
|-
|-
! 44
| [[7923219edo|7923219]] || 4634786\7923219 || 1.49999999999981912549203 || -0.000000000208757404541576
| [[7923219edo|7923219]] || 4634786\7923219 || 1.49999999999981912549203 || -0.000000000208757404541576
|-
|-
! 45
| [[8113756edo|8113756]] || 4746243\8113756 || 1.49999999999983529858625 || -0.000000000190091130277442
| [[8113756edo|8113756]] || 4746243\8113756 || 1.49999999999983529858625 || -0.000000000190091130277442
|-
|-
! 46
| [[8304293edo|8304293]] || 4857700\8304293 || 1.49999999999985072951666 || -0.000000000172281428848702
| [[8304293edo|8304293]] || 4857700\8304293 || 1.49999999999985072951666 || -0.000000000172281428848702
|-
|-
! 47
| [[8494830edo|8494830]] || 4969157\8494830 || 1.49999999999986546822294 || -0.00000000015527066208475
| [[8494830edo|8494830]] || 4969157\8494830 || 1.49999999999986546822294 || -0.00000000015527066208475
|-
|-
! 48
| [[8685367edo|8685367]] || 5080614\8685367 || 1.4999999999998795602625 || -0.000000000139006249612716
| [[8685367edo|8685367]] || 5080614\8685367 || 1.4999999999998795602625 || -0.000000000139006249612716
|-
|-
! 49
| [[8875904edo|8875904]] || 5192071\8875904 || 1.49999999999989304728088 || -0.00000000012344012598166
| [[8875904edo|8875904]] || 5192071\8875904 || 1.49999999999989304728088 || -0.00000000012344012598166
|-
|-
! 50
| [[9066441edo|9066441]] || 5303528\9066441 || 1.4999999999999059674228 || -0.00000000010852826624514
| [[9066441edo|9066441]] || 5303528\9066441 || 1.4999999999999059674228 || -0.00000000010852826624514
|-
|-
! 51
| [[9256978edo|9256978]] || 5414985\9256978 || 1.49999999999991835569242 || -0.000000000094230270129436
| [[9256978edo|9256978]] || 5414985\9256978 || 1.49999999999991835569242 || -0.000000000094230270129436
|-
|-
! 52
| [[9447515edo|9447515]] || 5526442\9447515 || 1.49999999999993024427006 || -0.000000000080508996524973
| [[9447515edo|9447515]] || 5526442\9447515 || 1.49999999999993024427006 || -0.000000000080508996524973
|-
|-
! 53
| [[9638052edo|9638052]] || 5637899\9638052 || 1.49999999999994166279132 || -0.000000000067330241327498
| [[9638052edo|9638052]] || 5637899\9638052 || 1.49999999999994166279132 || -0.000000000067330241327498
|-
|-
! 54
| [[9828589edo|9828589]] || 5749356\9828589 || 1.49999999999995263859374 || -0.000000000054662452755602
| [[9828589edo|9828589]] || 5749356\9828589 || 1.49999999999995263859374 || -0.000000000054662452755602
|-
|-
! 55
| [[10019126edo|10019126]] || 5860813\10019126 || 1.4999999999999631969353 || -0.00000000004247647915079
| [[10019126edo|10019126]] || 5860813\10019126 || 1.4999999999999631969353 || -0.00000000004247647915079
|-
|-
! 56
| [[10209663edo|10209663]] || 5972270\10209663 || 1.49999999999997336118848 || -0.000000000030745345015932
| [[10209663edo|10209663]] || 5972270\10209663 || 1.49999999999997336118848 || -0.000000000030745345015932
|-
|-
! 57
| [[10400200edo|10400200]] || 6083727\10400200 || 1.49999999999998315301301 || -0.000000000019444051673157
| [[10400200edo|10400200]] || 6083727\10400200 || 1.49999999999998315301301 || -0.000000000019444051673157
|-
|-
! 58
| [[10590737edo|10590737]] || 6195184\10590737 || 1.49999999999999259250985 || -0.000000000008549399441457
| [[10590737edo|10590737]] || 6195184\10590737 || 1.49999999999999259250985 || -0.000000000008549399441457
|-
|-
! 59
| [[10781274edo|10781274]] || 6306641\10781274 || 1.50000000000000169835904 || 0.000000000001960171332652
| [[10781274edo|10781274]] || 6306641\10781274 || 1.50000000000000169835904 || 0.000000000001960171332652
|-
|-
! 60
| [[32153285edo|32153285]] || 18808466\32153285 || 1.49999999999999869904952 || -0.000000000001501499847846
| [[32153285edo|32153285]] || 18808466\32153285 || 1.49999999999999869904952 || -0.000000000001501499847846
|-
|-
! 61
| [[42934559edo|42934559]] || 25115107\42934559 || 1.49999999999999945220452 || -0.000000000000632241461104
| [[42934559edo|42934559]] || 25115107\42934559 || 1.49999999999999945220452 || -0.000000000000632241461104
|-
|-
! 62
| [[53715833edo|53715833]] || 31421748\53715833 || 1.4999999999999999030289 || -0.000000000000111919777704
| [[53715833edo|53715833]] || 31421748\53715833 || 1.4999999999999999030289 || -0.000000000000111919777704
|-
|-
! 63
| [[118212940edo|118212940]] || 69150137\118212940 || 1.50000000000000006676687 || 0.00000000000007705938163
| [[118212940edo|118212940]] || 69150137\118212940 || 1.50000000000000006676687 || 0.00000000000007705938163
|-
|-
! 64
| [[171928773edo|171928773]] || 100571885\171928773 || 1.50000000000000001561009 || 0.000000000000018016483962
| [[171928773edo|171928773]] || 100571885\171928773 || 1.50000000000000001561009 || 0.000000000000018016483962
|-
|-
! 65
| [[225644606edo|225644606]] || 131993633\225644606 || 1.49999999999999998880957 || -0.000000000000012915496546
| [[225644606edo|225644606]] || 131993633\225644606 || 1.49999999999999998880957 || -0.000000000000012915496546
|-
|-
! 66
| [[397573379edo|397573379]] || 232565518\397573379 || 1.50000000000000000039934 || 0.00000000000000046089572
| [[397573379edo|397573379]] || 232565518\397573379 || 1.50000000000000000039934 || 0.00000000000000046089572
|-
|-
! 67
| [[3406231638edo|3406231638]] || 1992517777\3406231638 || 1.49999999999999999963158 || -0.000000000000000425218692
| [[3406231638edo|3406231638]] || 1992517777\3406231638 || 1.49999999999999999963158 || -0.000000000000000425218692
|-
! 68
| [[3803805017edo|3803805017]] || 2225083295\3803805017 || 1.49999999999999999971182 || -0.000000000000000332602079
|-
! 69
| [[4201378396edo|4201378396]] || 2457648813\4201378396 || 1.49999999999999999977688 || -0.000000000000000257513964
|-
! 70
| [[4598951775edo|4598951775]] || 2690214331\4598951775 || 1.49999999999999999983069 || -0.000000000000000195408389
|-
! 71
| [[4996525154edo|4996525154]] || 2922779849\4996525154 || 1.49999999999999999987594 || -0.000000000000000143186291
|-
! 72
| [[5394098533edo|5394098533]] || 3155345367\5394098533 || 1.49999999999999999991452 || -0.000000000000000098662279
|-
! 73
| [[5791671912edo|5791671912]] || 3387910885\5791671912 || 1.4999999999999999999478 || -0.000000000000000060251031
|-
! 74
| [[6189245291edo|6189245291]] || 3620476403\6189245291 || 1.4999999999999999999768 || -0.000000000000000026774565
|-
! 75
| [[6586818670edo|6586818670]] || 3853041921\6586818670 || 1.50000000000000000000231 || 0.000000000000000002660693
|-
! 76
| [[39123338641edo|39123338641]] || 22885686008\39123338641 || 1.49999999999999999999827 || -0.000000000000000001995915
|}
|}
Retrieved from "https://en.xen.wiki/w/User:Xenoindex/Extended_Approximations_of_3/2"