User:Xenoindex/Extended Approximations of 3/2: Difference between revisions
Created table |
Added cent errors, removed relative cents |
||
Line 7: | Line 7: | ||
! Ratio | ! Ratio | ||
! [[Cent]] error | ! [[Cent]] error | ||
|- | |- | ||
| [[1edo|1]] || 1\1 || 2.0 || | | [[1edo|1]] || 1\1 || 2.0 || 498.044999134612582255513245 | ||
|- | |- | ||
| [[2edo|2]] || 1\2 || 1.41421356237309504880169 || - | | [[2edo|2]] || 1\2 || 1.41421356237309504880169 || -101.955000865387417744486861 | ||
|- | |- | ||
| [[3edo|3]] || 2\3 || 1.58740105196819947475171 || | | [[3edo|3]] || 2\3 || 1.58740105196819947475171 || 98.044999134612582255513245 | ||
|- | |- | ||
| [[5edo|5]] || 3\5 || 1.51571656651039808234726 || | | [[5edo|5]] || 3\5 || 1.51571656651039808234726 || 18.044999134612582255513245 | ||
|- | |- | ||
| [[7edo|7]] || 4\7 || 1.48599428913694842479985 || - | | [[7edo|7]] || 4\7 || 1.48599428913694842479985 || -16.240715151101703458772515 | ||
|- | |- | ||
| [[12edo|12]] || 7\12 || 1.49830707687668149879928 || - | | [[12edo|12]] || 7\12 || 1.49830707687668149879928 || -1.955000865387417744486755 | ||
|- | |- | ||
| [[29edo|29]] || 17\29 || 1.50129438234633517665815 || | | [[29edo|29]] || 17\29 || 1.50129438234633517665815 || 1.493274996681547772754792 | ||
|- | |- | ||
| [[41edo|41]] || 24\41 || 1.50041943305740759449794 || | | [[41edo|41]] || 24\41 || 1.50041943305740759449794 || 0.484023524856484694537583 | ||
|- | |- | ||
| [[53edo|53]] || 31\53 || 1.49994090307811116207608 || - | | [[53edo|53]] || 31\53 || 1.49994090307811116207608 || -0.068208412557229065241532 | ||
|- | |- | ||
| [[200edo|200]] || 117\200 || 1.50003898928581812499439 || | | [[200edo|200]] || 117\200 || 1.50003898928581812499439 || 0.044999134612582255513456 | ||
|- | |- | ||
| [[253edo|253]] || 148\253 || 1.50001844105114101570806 || | | [[253edo|253]] || 148\253 || 1.50001844105114101570806 || 0.02128371959281940966361 | ||
|- | |- | ||
| [[306edo|306]] || 179\306 || 1.50000501098450678121148 || | | [[306edo|306]] || 179\306 || 1.50000501098450678121148 || 0.005783448338072451591578 | ||
|- | |- | ||
| [[359edo|359]] || 210\359 || 1.49999554641367626108487 || - | | [[359edo|359]] || 210\359 || 1.49999554641367626108487 || -0.005140141153434457578529 | ||
|- | |- | ||
| [[665edo|665]] || 389\665 || 1.49999990153208461095721 || - | | [[665edo|665]] || 389\665 || 1.49999990153208461095721 || -0.000113647342304962531859 | ||
|- | |- | ||
| [[8286edo|8286]] || 4847\8286 || 1.50000009022263212062914 || | | [[8286edo|8286]] || 4847\8286 || 1.50000009022263212062914 || 0.000104130992017447403226 | ||
|- | |- | ||
| [[8951edo|8951]] || 5236\8951 || 1.50000007620417369142151 || | | [[8951edo|8951]] || 5236\8951 || 1.50000007620417369142151 || 0.000087951504549633459924 | ||
|- | |- | ||
| [[9616edo|9616]] || 5625\9616 || 1.50000006412462444704482 || | | [[9616edo|9616]] || 5625\9616 || 1.50000006412462444704482 || 0.000074009820568944365186 | ||
|- | |- | ||
| [[10281edo|10281]] || 6014\10281 || 1.50000005360774433110183 || | | [[10281edo|10281]] || 6014\10281 || 1.50000005360774433110183 || 0.000061871700414178478169 | ||
|- | |- | ||
| [[10946edo|10946]] || 6403\10946 || 1.50000004436872381868319 || | | [[10946edo|10946]] || 6403\10946 || 1.50000004436872381868319 || 0.000051208429501678133498 | ||
|- | |- | ||
| [[11611edo|11611]] || 6792\11611 || 1.50000003618800128516929 || | | [[11611edo|11611]] || 6792\11611 || 1.50000003618800128516929 || 0.000041766599491221149291 | ||
|- | |- | ||
| [[12276edo|12276]] || 7181\12276 || 1.50000002889359037038189 || | | [[12276edo|12276]] || 7181\12276 || 1.50000002889359037038189 || 0.000033347711311483274663 | ||
|- | |- | ||
| [[12941edo|12941]] || 7570\12941 || 1.50000002234885621221076 || | | [[12941edo|12941]] || 7570\12941 || 1.50000002234885621221076 || 0.000025794067029361610242 | ||
|- | |- | ||
| [[13606edo|13606]] || 7959\13606 || 1.50000001644387633625219 || | | [[13606edo|13606]] || 7959\13606 || 1.50000001644387633625219 || 0.000018978798970613590513 | ||
|- | |- | ||
| [[14271edo|14271]] || 8348\14271 || 1.50000001108921693691276 || | | [[14271edo|14271]] || 8348\14271 || 1.50000001108921693691276 || 0.000012798686578471615743 | ||
|- | |- | ||
| [[14936edo|14936]] || 8737\14936 || 1.50000000621137176157035 || | | [[14936edo|14936]] || 8737\14936 || 1.50000000621137176157035 || 0.000007168892175185347301 | ||
|- | |- | ||
| [[15601edo|15601]] || 9126\15601 || 1.50000000174936751308689 || | | [[15601edo|15601]] || 9126\15601 || 1.50000000174936751308689 || 0.000002019043067480819325 | ||
|- | |- | ||
| [[31867edo|31867]] || 18641\31867 || 1.49999999965803493362325 || - | | [[31867edo|31867]] || 18641\31867 || 1.49999999965803493362325 || -0.00000039468104438019144 | ||
|- | |- | ||
| [[79335edo|79335]] || 46408\79335 || 1.50000000006928948147653 || | | [[79335edo|79335]] || 46408\79335 || 1.50000000006928948147653 || 0.000000079970873047723515 | ||
|- | |- | ||
| [[111202edo|111202]] || 65049\111202 || 1.49999999995143684683217 || - | | [[111202edo|111202]] || 65049\111202 || 1.49999999995143684683217 || -0.000000056049456197032689 | ||
|- | |- | ||
| [[190537edo|190537]] || 111457\190537 || 1.50000000000050783445818 || | | [[190537edo|190537]] || 111457\190537 || 1.50000000000050783445818 || 0.000000000586120203523371 | ||
|- | |- | ||
| [[5446238edo|5446238]] || 3185845\5446238 || 1.49999999999950589661299 || - | | [[5446238edo|5446238]] || 3185845\5446238 || 1.49999999999950589661299 || -0.000000000570272404896564 | ||
|- | |- | ||
| [[5636775edo|5636775]] || 3297302\5636775 || 1.49999999999953976460155 || - | | [[5636775edo|5636775]] || 3297302\5636775 || 1.49999999999953976460155 || -0.000000000531183461585597 | ||
|- | |- | ||
| [[5827312edo|5827312]] || 3408759\5827312 || 1.49999999999957141781083 || - | | [[5827312edo|5827312]] || 3408759\5827312 || 1.49999999999957141781083 || -0.000000000494650719141249 | ||
|- | |- | ||
| [[6017849edo|6017849]] || 3520216\6017849 || 1.49999999999960106661371 || - | | [[6017849edo|6017849]] || 3520216\6017849 || 1.49999999999960106661371 || -0.000000000460431374439987 | ||
|- | |- | ||
| [[6208386edo|6208386]] || 3631673\6208386 || 1.49999999999962889555746 || - | | [[6208386edo|6208386]] || 3631673\6208386 || 1.49999999999962889555746 || -0.000000000428312431125082 | ||
|- | |- | ||
| [[6398923edo|6398923]] || 3743130\6398923 || 1.49999999999965506720874 || - | | [[6398923edo|6398923]] || 3743130\6398923 || 1.49999999999965506720874 || -0.00000000039810626191364 | ||
|- | |- | ||
| [[6589460edo|6589460]] || 3854587\6589460 || 1.49999999999967972533147 || - | | [[6589460edo|6589460]] || 3854587\6589460 || 1.49999999999967972533147 || -0.000000000369646940809377 | ||
|- | |- | ||
| [[6779997edo|6779997]] || 3966044\6779997 || 1.49999999999970299752889 || - | | [[6779997edo|6779997]] || 3966044\6779997 || 1.49999999999970299752889 || -0.000000000342787193765153 | ||
|- | |- | ||
| [[6970534edo|6970534]] || 4077501\6970534 || 1.49999999999972499745228 || - | | [[6970534edo|6970534]] || 4077501\6970534 || 1.49999999999972499745228 || -0.000000000317395849464268 | ||
|- | |- | ||
| [[7161071edo|7161071]] || 4188958\7161071 || 1.4999999999997458266571 || - | | [[7161071edo|7161071]] || 4188958\7161071 || 1.4999999999997458266571 || -0.000000000293355697063811 | ||
|- | |- | ||
| [[7351608edo|7351608]] || 4300415\7351608 || 1.49999999999976557617046 || - | | [[7351608edo|7351608]] || 4300415\7351608 || 1.49999999999976557617046 || -0.000000000270561677079557 | ||
|- | |- | ||
| [[7542145edo|7542145]] || 4411872\7542145 || 1.499999999999784327821 || - | | [[7542145edo|7542145]] || 4411872\7542145 || 1.499999999999784327821 || -0.00000000024891934648456 | ||
|- | |- | ||
| [[7732682edo|7732682]] || 4523329\7732682 || 1.49999999999980215537218 || - | | [[7732682edo|7732682]] || 4523329\7732682 || 1.49999999999980215537218 || -0.000000000228343570739502 | ||
|- | |- | ||
| [[7923219edo|7923219]] || 4634786\7923219 || 1.49999999999981912549203 || - | | [[7923219edo|7923219]] || 4634786\7923219 || 1.49999999999981912549203 || -0.000000000208757404541576 | ||
|- | |- | ||
| [[8113756edo|8113756]] || 4746243\8113756 || 1.49999999999983529858625 || - | | [[8113756edo|8113756]] || 4746243\8113756 || 1.49999999999983529858625 || -0.000000000190091130277442 | ||
|- | |- | ||
| [[8304293edo|8304293]] || 4857700\8304293 || 1.49999999999985072951666 || - | | [[8304293edo|8304293]] || 4857700\8304293 || 1.49999999999985072951666 || -0.000000000172281428848702 | ||
|- | |- | ||
| [[8494830edo|8494830]] || 4969157\8494830 || 1.49999999999986546822294 || - | | [[8494830edo|8494830]] || 4969157\8494830 || 1.49999999999986546822294 || -0.00000000015527066208475 | ||
|- | |- | ||
| [[8685367edo|8685367]] || 5080614\8685367 || 1.4999999999998795602625 || - | | [[8685367edo|8685367]] || 5080614\8685367 || 1.4999999999998795602625 || -0.000000000139006249612716 | ||
|- | |- | ||
| [[8875904edo|8875904]] || 5192071\8875904 || 1.49999999999989304728088 || - | | [[8875904edo|8875904]] || 5192071\8875904 || 1.49999999999989304728088 || -0.00000000012344012598166 | ||
|- | |- | ||
| [[9066441edo|9066441]] || 5303528\9066441 || 1.4999999999999059674228 || - | | [[9066441edo|9066441]] || 5303528\9066441 || 1.4999999999999059674228 || -0.00000000010852826624514 | ||
|- | |- | ||
| [[9256978edo|9256978]] || 5414985\9256978 || 1.49999999999991835569242 || - | | [[9256978edo|9256978]] || 5414985\9256978 || 1.49999999999991835569242 || -0.000000000094230270129436 | ||
|- | |- | ||
| [[9447515edo|9447515]] || 5526442\9447515 || 1.49999999999993024427006 || - | | [[9447515edo|9447515]] || 5526442\9447515 || 1.49999999999993024427006 || -0.000000000080508996524973 | ||
|- | |- | ||
| [[9638052edo|9638052]] || 5637899\9638052 || 1.49999999999994166279132 || - | | [[9638052edo|9638052]] || 5637899\9638052 || 1.49999999999994166279132 || -0.000000000067330241327498 | ||
|- | |- | ||
| [[9828589edo|9828589]] || 5749356\9828589 || 1.49999999999995263859374 || - | | [[9828589edo|9828589]] || 5749356\9828589 || 1.49999999999995263859374 || -0.000000000054662452755602 | ||
|- | |- | ||
| [[10019126edo|10019126]] || 5860813\10019126 || 1.4999999999999631969353 || - | | [[10019126edo|10019126]] || 5860813\10019126 || 1.4999999999999631969353 || -0.00000000004247647915079 | ||
|- | |- | ||
| [[10209663edo|10209663]] || 5972270\10209663 || 1.49999999999997336118848 || - | | [[10209663edo|10209663]] || 5972270\10209663 || 1.49999999999997336118848 || -0.000000000030745345015932 | ||
|- | |- | ||
| [[10400200edo|10400200]] || 6083727\10400200 || 1.49999999999998315301301 || - | | [[10400200edo|10400200]] || 6083727\10400200 || 1.49999999999998315301301 || -0.000000000019444051673157 | ||
|- | |- | ||
| [[10590737edo|10590737]] || 6195184\10590737 || 1.49999999999999259250985 || - | | [[10590737edo|10590737]] || 6195184\10590737 || 1.49999999999999259250985 || -0.000000000008549399441457 | ||
|- | |- | ||
| [[10781274edo|10781274]] || 6306641\10781274 || 1.50000000000000169835904 || | | [[10781274edo|10781274]] || 6306641\10781274 || 1.50000000000000169835904 || 0.000000000001960171332652 | ||
|- | |- | ||
| [[32153285edo|32153285]] || 18808466\32153285 || 1.49999999999999869904952 || - | | [[32153285edo|32153285]] || 18808466\32153285 || 1.49999999999999869904952 || -0.000000000001501499847846 | ||
|- | |- | ||
| [[42934559edo|42934559]] || 25115107\42934559 || 1.49999999999999945220452 || - | | [[42934559edo|42934559]] || 25115107\42934559 || 1.49999999999999945220452 || -0.000000000000632241461104 | ||
|- | |- | ||
| [[53715833edo|53715833]] || 31421748\53715833 || 1.4999999999999999030289 || - | | [[53715833edo|53715833]] || 31421748\53715833 || 1.4999999999999999030289 || -0.000000000000111919777704 | ||
|- | |- | ||
| [[118212940edo|118212940]] || 69150137\118212940 || 1.50000000000000006676687 || | | [[118212940edo|118212940]] || 69150137\118212940 || 1.50000000000000006676687 || 0.00000000000007705938163 | ||
|- | |- | ||
| [[171928773edo|171928773]] || 100571885\171928773 || 1.50000000000000001561009 || | | [[171928773edo|171928773]] || 100571885\171928773 || 1.50000000000000001561009 || 0.000000000000018016483962 | ||
|- | |- | ||
| [[225644606edo|225644606]] || 131993633\225644606 || 1.49999999999999998880957 || - | | [[225644606edo|225644606]] || 131993633\225644606 || 1.49999999999999998880957 || -0.000000000000012915496546 | ||
|- | |- | ||
| [[397573379edo|397573379]] || 232565518\397573379 || 1.50000000000000000039934 || | | [[397573379edo|397573379]] || 232565518\397573379 || 1.50000000000000000039934 || 0.00000000000000046089572 | ||
|- | |- | ||
| [[3406231638edo|3406231638]] || 1992517777\3406231638 || 1.49999999999999999963158 || - | | [[3406231638edo|3406231638]] || 1992517777\3406231638 || 1.49999999999999999963158 || -0.000000000000000425218692 | ||
|} | |} |