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