User:Xenoindex/Extended Approximations of 3/2

Revision as of 05:41, 24 January 2021 by Xenoindex (talk | contribs) (Added cent errors, removed relative cents)

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.

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