Edo anatomy: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
=Anatomy of an Equal Division per 2/1 (ED2, EDO)=
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-07-20 15:11:42 UTC</tt>.<br>
: The original revision id was <tt>354135196</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">=Anatomy of an Equal Division per 2/1 (ED2, EDO)=  


This chart gives a list of fractions between 0 and 1, with numerators between 1 and 60, in order of descending difference from 1/2, and their corresponding cent values if taken as (logarithmic) fractions of an [[octave]]
This chart gives a list of fractions between 0 and 1, with numerators between 1 and 60, in order of descending difference from 1/2, and their corresponding cent values if taken as (logarithmic) fractions of an [[Octave|octave]]


|| as exponent
{| class="wikitable"
[[math]]
|-
2^f
| | as exponent
[[math]] |||| in [[cent]]s part of 1200¢ || as exponent
[[math]]
2^f
[[math]] ||
|| 0\1 || 0 || 1200 || 1\1 ||
|| 1\32 || 37.5 || 1162.5 || 31\32 ||
|| 1\31 || 38.7096 || 1161.2904 || 30\31 ||
|| 2\61 || 39.3443 || 1160.6557 || 60\61 ||
|| 1\30 || 40 || 1160 || 29\30 ||
|| 2\59 || 40.678 || 1159.322 || 57\59 ||
|| 1\29 || 41.3793 || 1158.6207 || 28\29 ||
|| 2\57 || 42.1053 || 1157.8947 || 55\57 ||
|| 1\28 || 42.8571 || 1157.1429 || 27\28 ||
|| 2\55 || 43.__63__ || 1156.__36__ || 53\55 ||
|| 1\27 || 44.__4__ || 1155.__5__ || 26\27 ||
|| 2\53 || 45.283 || 1054.717 || 51\53 ||
|| 1\26 || 46.15385 || 1153.84615 || 25\26 ||
|| 2\51 || 47.0588 || 1152.9412 || 49\51 ||
|| 1\25 || 48 || 1152 || 24\25 ||
|| 2\49 || 48.9796 || 1151.0204 || 47\49 ||
|| 1\24 || 50 || 1150 || 23\24 ||
|| 2\47 || 51.0638 || 1148.9562 || 45\47 ||
|| 1\23 || 52.1739 || 1047.8261 || 22\23 ||
|| 2\45 || 53.__3__ || 1146.__6__ || 43\45 ||
|| 1\22 || 54.__54__ || 1145.__45__ || 21\22 ||
|| 2\43 || 55.81395 || 1144.18605 || 41\43 ||
|| 1\21 || 57.1429 || 1143.8571 || 20\21 ||
|| 2\41 || 58.5366 || 1141.4634 || 39\41 ||
|| 1\20 || 60 || 1140 || 19\20 ||
|| 2\39 || 61.5385 || 1139.4615 || 37\39 ||
|| 1\19 || 63.1579 || 1136.8421 || 18\19 ||
|| 2\37 || 64.__864__ || 1135.__135__ || 35\37 ||
|| 1\18 || 66.__6__ || 1133.__3__ || 17\18 ||
|| 2\35 || 68.5714 || 1131.4286 || 33\35 ||
|| 1\17 || 70.5882 || 1129.4118 || 16\17 ||
|| 2\33 || 72.__72__ || 1127.__27__ || 31\33 ||
|| 1\16 || 75 || 1125 || 15\16 ||
|| 3\47 || 76.5957 || 1123.4043 || 44\47 ||
|| 2\31 || 77.41935 || 1122.58065 || 29\31 ||
|| 3\46 || 78.2609 || 1121.7391 || 43\46 ||
|| 1\15 || 80 || 1120 || 14\15 ||
|| 3\44 || 81.__81__ || 1118.__18__ || 41\44 ||
|| 2\29 || 82.759 || 1117.241 || 27\29 ||
|| 3\43 || 83.7209 || 1116.2791 || 40\43 ||
|| 1\14 || 85.7143 || 1114.2857 || 13\14 ||
|| 3\41 || 87.8049 || 1112.1951 || 38\41 ||
|| 2\27 || 88.__8__ || 1111.__1__ || 25\27 ||
|| 3\40 || 90 || 1110 || 37\40 ||
|| 1\13 || 92.3077 || 1107.6923 || 12\13 ||
|| 3\38 || 94.7638 || 1105.2362 || 35\38 ||
|| 2\25 || 96 || 1104 || 23\25 ||
|| 3\37 || 97.__297__ || 1102.__702__ || 34\37 ||
|| 1\12 || 100 || 1100 || 11\12 ||
|| 3\35 || 102.8571 || 1097.1429 || 32\35 ||
|| 2\23 || 104.3478 || 1095.6522 || 21\23 ||
|| 3\34 || 105.88235 || 1094.11765 || 31\34 ||
|| 1\11 || 109.__09__ || 1090.__90__ || 10\11 ||
|| 3\32 || 112.5 || 1087.5 || 29\32 ||
|| 2\21 || 114.2857 || 1085.7129 || 19\21 ||
|| 5\52 || 115.3846 || 1084.6154 || 47\52 ||
|| 3\31 || 116.129 || 1083.871 || 28\31 ||
|| 4\41 || 117.0732 || 1082.9268 || 37\41 ||
|| 1\10 || 120 || 1080 || 9\10 ||
|| 4\39 || 123.0769 || 1076.9231 || 35\39 ||
|| 3\29 || 124.1379 || 1075.8621 || 26\29 ||
|| 5\48 || 125 || 1075 || 43\48 ||
|| 2\19 || 126.3158 || 1073.6842 || 17\19 ||
|| 5\47 || 127.6596 || 1072.3404 || 42\47 ||
|| 3\28 || 128.5714 || 1071.4286 || 25\28 ||
|| 4\37 || 129.__729__ || 1070.__270__ || 33\37 ||
|| 1\9 || 133.__3__ || 1066.__6__ || 8\9 ||
|| 4\35 || 137.1429 || 1063.8571 || 31\35 ||
|| 3\26 || 138.4615 || 1061.5385 || 23\26 ||
|| 5\43 || 139.5349 || 1060.4651 || 38\43 ||
|| 2\17 || 141.1765 || 1058.8235 || 15\17 ||
|| 5\42 || 142.8571 || 1057.1429 || 37\42 ||
|| 3\25 || 144 || 1056 || 22\25 ||
|| 4\33 || 145.__45__ || 1054.__54__ || 29\33 ||
|| 1\8 || 150 || 1050 || 7\8 ||
|| 5\39 || 153.84615 || 1046.15385 || 34\39 ||
|| 4\31 || 154.8387 || 1045.1613 || 27\31 ||
|| 7\54 || 155.__5__ || 1044.__4__ || 47\54 ||
|| 3\23 || 156.5217 || 1053.4783 || 20\23 ||
|| 5\38 || 157.8947 || 1042.1053 || 31\38 ||
|| 2\15 || 160 || 1040 || 15\17 ||
|| 5\37 || 162.__162__ || 1037.__837__ || 32\37 ||
|| 3\22 || 163.__63__ || 1036.__36__ || 19\22 ||
|| 7\51 || 164.7059 || 1035.2941 || 44\51 ||
|| 4\29 || 165.5172 || 1034.4822 || 25\29 ||
|| 5\36 || 166.__6__ || 1033.__3__ || 31\36 ||
|| 1\7 || 171.4286 || 1028.5714 || 6\7 ||
|| 5\34 || 176.4706 || 1023.5294 || 29\34 ||
|| 4\27 || 177.__7__ || 1022.__2__ || 23\27 ||
|| 7\47 || 178.7234 || 1021.2766 || 40\47 ||
|| 3\20 || 180 || 1020 || 17\20 ||
|| 5\33 || 181.__81__ || 1018.__18__ || 28\33 ||
|| 2\13 || 184.6154 || 1015.3846 || 11\13 ||
|| 5\32 || 187.5 || 1012.5 || 27\32 ||
|| 3\19 || 189.4737 || 1010.5263 || 16\19 ||
|| 7\44 || 190.__90__ || 1009.__09__ || 37\44 ||
|| 4\25 || 192 || 1008 || 21\25 ||
|| 9\56 || 192.8571 || 1007.1429 || 47\56 ||
|| 5\31 || 193.5484 || 1006.4516 || 26\31 ||
|| 6\37 || 194.__594__ || 1005.__405__ || 31\37 ||
|| 1\6 || 200 || 1000 || 5\6 ||
|| 6\35 || 205.7143 || 994.2857 || 29\35 ||
|| 5\29 || 206.8966 || 993.1034 || 24\29 ||
|| 9\52 || 207.6923 || 992.3077 || 43\52 ||
|| 4\23 || 208.69565 || 991.31435 || 19\23 ||
|| 7\40 || 210 || 990 || 33\40 ||
|| 3\17 || 211.7647 || 988.2353 || 14\17 ||
|| 8\45 || 213.__3__ || 986.__6__ || 37\45 ||
|| 5\28 || 214.2857 || 985.7143 || 23\28 ||
|| 7\39 || 215.3846 || 984.6154 || 32\39 ||
|| 2\11 || 218.__18__ || 981.__81__ || 9\11 ||
|| 7\38 || 221.0526 || 978.9474 || 31\38 ||
|| 5\27 || 222.__2__ || 977.__7__ || 22\27 ||
|| 8\43 || 223.2558 || 976.7642 || 35\43 ||
|| 3\16 || 225 || 975 || 13\16 ||
|| 7\37 || 227.__027__ || 972.__972__ || 30\37 ||
|| 4\21 || 228.5714 || 971.4286 || 17\21 ||
|| 9\47 || 229.7872 || 970.2128 || 38\47 ||
|| 5\26 || 230.7692 || 969.2308 || 21\26 ||
|| 11\57 || 231.57895 || 968.42105 || 46\57 ||
|| 6\31 || 232.2581 || 967.7419 || 25\31 ||
|| 7\36 || 233.__3__ || 966.__6__ || 29\36 ||
|| 1\5 || 240 || 960 || 4\5 ||
|| 7\34 || 247.0588 || 952.9412 || 27\34 ||
|| 6\29 || 248.2759 || 951.7241 || 23\29 ||
|| 11\53 || 249.0566 || 950.9434 || 42\53 ||
|| 5\24 || 250 || 950 || 19\24 ||
|| 9\43 || 251.1628 || 948.8372 || 34\43 ||
|| 4\19 || 252.6316 || 947.3884 || 23\19 ||
|| 7\33 || 254.__54__ || 945.__45__ || 26\33 ||
|| 3\14 || 257.1428 || 945.8571 || 11\14 ||
|| 8\37 || 259.__459__ || 940.__540__ || 29\37 ||
|| 5\23 || 260.8696 || 939.1304 || 18\23 ||
|| 7\32 || 262.5 || 937.5 || 25\32 ||
|| 2\9 || 266.__6__ || 933.__3__ || 7\9 ||
|| 9\40 || 270 || 930 || 31\40 ||
|| 7\31 || 270.9677 || 929.0323 || 24\31 ||
|| 12\53 || 271.6981 || 928.3019 || 41\53 ||
|| 5\22 || 272.__72__ || 927.__27__ || 17\22 ||
|| 8\35 || 274.2857 || 925.7143 || 27\35 ||
|| 3\13 || 276.9231 || 923.0769 || 10\13 ||
|| 10\43 || 279.0698 || 920.9302 || 33\43 ||
|| 7\30 || 280 || 920 || 23\30 ||
|| 11\47 || 280.8511 || 919.1489 || 36\47 ||
|| 4\17 || 282.3529 || 917.6471 || 13\17 ||
|| 9\38 || 284.2105 || 915.7895 || 29\38 ||
|| 5\21 || 285.7143 || 914.2857 || 16\21 ||
|| 11\46 || 286.9565 || 913.0435 || 35\46 ||
|| 6\25 || 288 || 912 || 19\25 ||
|| 13\54 || 288.__8__ || 911.__1__ || 41\54 ||
|| 7\29 || 289.6552 || 910.3448 || 22\29 ||
|| 8\33 || 290.__90__ || 909.__09__ || 25\33 ||
|| 1\4 || 300 || 900 || 3\4 ||
|| 9\35 || 308.5714 || 891.4286 || 26\35 ||
|| 8\31 || 309.6774 || 890.3226 || 23\31 ||
|| 15\58 || 310.3448 || 889.6552 || 43\58 ||
|| 7\27 || 311.__1__ || 888.__8__ || 20\27 ||
|| 13\50 || 312 || 888 || 37\50 ||
|| 6\23 || 313.0435 || 886.9565 || 17\23 ||
|| 11\42 || 314.2857 || 885.7143 || 31\42 ||
|| 5\19 || 315.7895 || 884.2105 || 14\19 ||
|| 9\34 || 317.6471 || 882.3529 || 25\34 ||
|| 4\15 || 320 || 880 || 11\15 ||
|| 11\41 || 321.9512 || 878.0488 || 30\41 ||
|| 7\26 || 323.0769 || 876.9231 || 19\26 ||
|| 10\37 || 324.__324__ || 875.__675__ || 27\37 ||
|| 3\11 || 327.__27__ || 872.__72__ || 8\11 ||
|| 11\40 || 330 || 870 || 29\40 ||
|| 8\29 || 331.0345 || 868.9655 || 21\29 ||
|| 13\47 || 331.9149 || 868.0851 || 34\47 ||
|| 5\18 || 333.__3__ || 866.__6__ || 13\18 ||
|| 12\43 || 334.8837 || 865.1163 || 31\43 ||
|| 7\25 || 336 || 864 || 18\25 ||
|| 9\32 || 337.5 || 862.5 || 23\32 ||
|| 2\7 || 342.8571 || 857.1429 || 5\7 ||
|| 11\38 || 347.3684 || 852.6316 || 27\38 ||
|| 9\31 || 348.3871 || 851.6129 || 22\31 ||
|| 16\55 || 349.__09__ || 850.__90__ || 39\55 ||
|| 7\24 || 350 || 850 || 17\24 ||
|| 12\41 || 351.2195 || 849.7805 || 29\41 ||
|| 5\17 || 352.9412 || 847.0588 || 12\17 ||
|| 13\44 || 354.__54__ || 845.__45__ || 31\44 ||
|| 8\27 || 355.__5__ || 844.__4__ || 19\27 ||
|| 11\37 || 356.__756__ || 843.__243__ || 26\37 ||
|| 3\10 || 360 || 840 || 7\10 ||
|| 10\33 || 363.__63__ || 836.__36__ || 23\33 ||
|| 7\23 || 365.2174 || 834.7826 || 16\23 ||
|| 11\36 || 366.__6__ || 833.__3__ || 25\36 ||
|| 4\13 || 369.2308 || 830.7692 || 9\13 ||
|| 13\42 || 371.4286 || 828.5714 || 29\42 ||
|| 9\29 || 372.4138 || 827.5862 || 20\29 ||
|| 14\45 || 373.__3__ || 826.__6__ || 31\45 ||
|| 5\16 || 375 || 825 || 11\16 ||
|| 11\35 || 377.1429 || 822.8571 || 24\35 ||
|| 6\19 || 378.9474 || 821.0526 || 13\19 ||
|| 13\41 || 380.4878 || 819.5122 || 28\41 ||
|| 7\22 || 381.__81__ || 818.__18__ || 15\22 ||
|| 15\47 || 382.9787 || 817.0213 || 32\47 ||
|| 8\25 || 384 || 816 || 17\25 ||
|| 17\53 || 384.9057 || 815.0943 || 36\53 ||
|| 9\28 || 385.7143 || 814.2857 || 19\28 ||
|| 19\59 || 386.4407 || 813.5593 || 40\59 ||
|| 10\31 || 387.0968 || 812.9032 || 21\31 ||
|| 11\34 || 388.2353 || 811.7647 || 23\34 ||
|| 1\3 || 400 || 800 || 2\3 ||
|| 11\32 || 412.5 || 787.5 || 21\32 ||
|| 10\29 || 413.7931 || 786.2069 || 19\29 ||
|| 19\55 || 414.__54__ || 785.__45__ || 36\55 ||
|| 9\26 || 415.3846 || 784.6144 || 17\26 ||
|| 17\49 || 416.3265 || 783.6735 || 32\49 ||
|| 8\23 || 417.3913 || 782.6087 || 15\23 ||
|| 15\43 || 418.60465 || 781.39535 || 28\43 ||
|| 7\20 || 420 || 780 || 13\20 ||
|| 13\37 || 421.__621__ || 778.__378__ || 24\37 ||
|| 6\17 || 423.5294 || 776.4706 || 11\17 ||
|| 17\48 || 425 || 775 || 31\48 ||
|| 11\31 || 425.80645 || 774.19355 || 20\31 ||
|| 16\45 || 426.__6__ || 773.__3__ || 29\45 ||
|| 5\14 || 428.5714 || 771.4286 || 9\14 ||
|| 14\39 || 430.7692 || 769.2308 || 25\39 ||
|| 9\25 || 432 || 768 || 16\25 ||
|| 13\36 || 433.__3__ || 566.__6__ || 23\36 ||
|| 4\11 || 436.__36__ || 763.63 || 7\11 ||
|| 15\41 || 439.0234 || 760.9766 || 26\41 ||
|| 11\30 || 440 || 760 || 19\30 ||
|| 18\49 || 440.8163 || 759.1827 || 21\49 ||
|| 7\19 || 442.1053 || 757.8947 || 12\19 ||
|| 17\46 || 443.4783 || 756.5217 || 29\46 ||
|| 10\27 || 444.__4__ || 755.__5__ || 17\27 ||
|| 13\35 || 445.7143 || 754.2857 || 22\35 ||
|| 3\8 || 450 || 750 || 5\8 ||
|| 14\37 || 454.__054__ || 745.__945__ || 23\37 ||
|| 11\29 || 455.1724 || 744.8276 || 18\29 ||
|| 19\50 || 456 || 744 || 31\50 ||
|| 8\21 || 457.1429 || 742.8571 || 13\21 ||
|| 13\34 || 458.8235 || 741.1765 || 21\34 ||
|| 5\13 || 461.5385 || 738.4615 || 8\13 ||
|| 17\44 || 463.__63__ || 736.__36__ || 27\44 ||
|| 12\31 || 464.516 || 735.484 || 19\31 ||
|| 19\49 || 465.3061 || 734.6939 || 30\49 ||
|| 7\18 || 466.__6__ || 733.__3__ || 11\18 ||
|| 16\41 || 468.2927 || 731.7073 || 25\41 ||
|| 9\23 || 469.5652 || 730.4348 || 14\23 ||
|| 20\51 || 470.5882 || 729.4118 || 31\51 ||
|| 11\28 || 471.4286 || 728.5714 || 17\28 ||
|| 13\33 || 472.__72__ || 727.__27__ || 20\33 ||
|| 2\5 || 480 || 720 || 3\5 ||
|| 13\32 || 487.5 || 712.5 || 19\32 ||
|| 11\27 || 488.__8__ || 711.__1__ || 16\27 ||
|| 20\49 || 489.7959 || 710.2041 || 29\49 ||
|| 9\22 || 490.__90__ || 709.__09__ || 13\22 ||
|| 16\39 || 492.3077 || 707.6923 || 23\39 ||
|| 7\17 || 494.11765 || 705.88235 || 10\17 ||
|| 19\46 || 495.6522 || 704.3478 || 27\46 ||
|| 12\29 || 496.5517 || 703.4483 || 17\29 ||
|| 17\41 || 497.561 || 702.439 || 24\41 ||
|| 22\53 || 498.1132 || 701.8868 || 31\53 ||
|| 5\12 || 500 || 700 || 7\12 ||
|| 18\43 || 502.3256 || 697.6744 || 25\43 ||
|| 13\31 || 503.226 || 696.7741 || 18\31 ||
|| 21\50 || 504 || 696 || 29\50 ||
|| 8\19 || 505.2631 || 694.7369 || 11\19 ||
|| 19\45 || 506.__6__ || 693.__3__ || 26\45 ||
|| 11\26 || 507.6923 || 692.3077 || 15\26 ||
|| 14\33 || 509.__09__ || 690.__90__ || 19\33 ||
|| 3\7 || 514.2857 || 685.7143 || 4/7 ||
|| 16\37 || 518.__918__ || 681.__081__ || 21/37 ||
|| 13\30 || 520 || 680 || 17\30 ||
|| 23\53 || 520.7547 || 679.2453 || 30\53 ||
|| 10\23 || 521.7391 || 678.2609 || 13\23 ||
|| 17\39 || 523.0769 || 677.9231 || 22\39 ||
|| 7\16 || 525 || 675 || 9\16 ||
|| 18\41 || 526.8293 || 673.1707 || 23\41 ||
|| 11\25 || 528 || 672 || 14\25 ||
|| 15\34 || 529.4118 || 670.5882 || 19\34 ||
|| 4\9 || 533.__3__ || 666.6 || 5\9 ||
|| 17\38 || 536.8421 || 663.1579 || 21\38 ||
|| 13\29 || 537.931 || 662.069 || 16\29 ||
|| 22\49 || 538.7755 || 661.2245 || 27\49 ||
|| 9\20 || 540 || 660 || 11\20 ||
|| 23\51 || 541.1765 || 658.8235 || 28\51 ||
|| 14\31 || 541.9355 || 658.0645 || 17\31 ||
|| 19\42 || 542.8571 || 657.1429 || 23/42 ||
|| 5\11 || 545.__45__ || 654.54 || 6\11 ||
|| 16\35 || 548.5714 || 651.4286 || 19\35 ||
|| 11\24 || 550 || 650 || 13\24 ||
|| 17\37 || 551.__351__ || 648.__648__ || 20\37 ||
|| 6\13 || 553.84615 || 646.15395 || 7\13 ||
|| 19\41 || 556.0976 || 645.9224 || 22\41 ||
|| 13\28 || 557.1429 || 642.8571 || 15\28 ||
|| 20\43 || 558.1395 || 642.8605 || 23\43 ||
|| 7\15 || 560 || 640 || 8\15 ||
|| 15\32 || 562.5 || 637.5 || 17\32 ||
|| 8\17 || 564.7059 || 635.2941 || 9\17 ||
|| 17\36 || 566.__6__ || 633.__3__ || 19\36 ||
|| 9\19 || 568.42105 || 631.57895 || 10\19 ||
|| 19\40 || 570 || 630 || 21\40 ||
|| 10\21 || 571.4286 || 628.5714 || 11\21 ||
|| 21\44 || 572.__72__ || 627.__27__ || 23\44 ||
|| 11\23 || 573.913 || 626.087 || 12\23 ||
|| 23\48 || 575 || 625 || 25\48 ||
|| 12\25 || 576 || 624 || 13\25 ||
|| 25\52 || 576.9231 || 623.0769 || 27\52 ||
|| 13\27 || 577.__7__ || 622.__2__ || 14\27 ||
|| 27\56 || 578.5714 || 621.4286 || 29\56 ||
|| 14\29 || 579.31 || 620.69 || 15\29 ||
|| 29\60 || 580 || 620 || 31\60 ||
|| 15\31 || 580.6452 || 619.355 || 16\31 ||
|| 16\33 || 581.__81__ || 618.__18__ || 17\33 ||
|| 1\2 ||||= 600 || 1\2 ||</pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;edo anatomy&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Anatomy of an Equal Division per 2/1 (ED2, EDO)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Anatomy of an Equal Division per 2/1 (ED2, EDO)&lt;/h1&gt;
&lt;br /&gt;
This chart gives a list of fractions between 0 and 1, with numerators between 1 and 60, in order of descending difference from 1/2, and their corresponding cent values if taken as (logarithmic) fractions of an &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;


<math>2^f</math>
| colspan="2" | in [[cent|cent]]s part of 1200¢
| | as exponent


&lt;table class="wiki_table"&gt;
<math>2^f</math>
    &lt;tr&gt;
|-
        &lt;td&gt;as exponent&lt;br /&gt;
| | 0\1
&lt;!-- ws:start:WikiTextMathRule:0:
| | 0
[[math]]&amp;lt;br/&amp;gt;
| | 1200
2^f&amp;lt;br/&amp;gt;[[math]]
| | 1\1
--&gt;&lt;script type="math/tex"&gt;2^f&lt;/script&gt;&lt;!-- ws:end:WikiTextMathRule:0 --&gt;&lt;br /&gt;
|-
&lt;/td&gt;
| | 1\32
        &lt;td colspan="2"&gt;in &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s part of 1200¢&lt;br /&gt;
| | 37.5
&lt;/td&gt;
| | 1162.5
        &lt;td&gt;as exponent&lt;br /&gt;
| | 31\32
&lt;!-- ws:start:WikiTextMathRule:1:
|-
[[math]]&amp;lt;br/&amp;gt;
| | 1\31
2^f&amp;lt;br/&amp;gt;[[math]]
| | 38.7096
--&gt;&lt;script type="math/tex"&gt;2^f&lt;/script&gt;&lt;!-- ws:end:WikiTextMathRule:1 --&gt;&lt;br /&gt;
| | 1161.2904
&lt;/td&gt;
| | 30\31
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 2\61
        &lt;td&gt;0\1&lt;br /&gt;
| | 39.3443
&lt;/td&gt;
| | 1160.6557
        &lt;td&gt;0&lt;br /&gt;
| | 60\61
&lt;/td&gt;
|-
        &lt;td&gt;1200&lt;br /&gt;
| | 1\30
&lt;/td&gt;
| | 40
        &lt;td&gt;1\1&lt;br /&gt;
| | 1160
&lt;/td&gt;
| | 29\30
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 2\59
        &lt;td&gt;1\32&lt;br /&gt;
| | 40.678
&lt;/td&gt;
| | 1159.322
        &lt;td&gt;37.5&lt;br /&gt;
| | 57\59
&lt;/td&gt;
|-
        &lt;td&gt;1162.5&lt;br /&gt;
| | 1\29
&lt;/td&gt;
| | 41.3793
        &lt;td&gt;31\32&lt;br /&gt;
| | 1158.6207
&lt;/td&gt;
| | 28\29
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 2\57
        &lt;td&gt;1\31&lt;br /&gt;
| | 42.1053
&lt;/td&gt;
| | 1157.8947
        &lt;td&gt;38.7096&lt;br /&gt;
| | 55\57
&lt;/td&gt;
|-
        &lt;td&gt;1161.2904&lt;br /&gt;
| | 1\28
&lt;/td&gt;
| | 42.8571
        &lt;td&gt;30\31&lt;br /&gt;
| | 1157.1429
&lt;/td&gt;
| | 27\28
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 2\55
        &lt;td&gt;2\61&lt;br /&gt;
| | 43.<u>63</u>
&lt;/td&gt;
| | 1156.<u>36</u>
        &lt;td&gt;39.3443&lt;br /&gt;
| | 53\55
&lt;/td&gt;
|-
        &lt;td&gt;1160.6557&lt;br /&gt;
| | 1\27
&lt;/td&gt;
| | 44.<u>4</u>
        &lt;td&gt;60\61&lt;br /&gt;
| | 1155.<u>5</u>
&lt;/td&gt;
| | 26\27
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 2\53
        &lt;td&gt;1\30&lt;br /&gt;
| | 45.283
&lt;/td&gt;
| | 1054.717
        &lt;td&gt;40&lt;br /&gt;
| | 51\53
&lt;/td&gt;
|-
        &lt;td&gt;1160&lt;br /&gt;
| | 1\26
&lt;/td&gt;
| | 46.15385
        &lt;td&gt;29\30&lt;br /&gt;
| | 1153.84615
&lt;/td&gt;
| | 25\26
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 2\51
        &lt;td&gt;2\59&lt;br /&gt;
| | 47.0588
&lt;/td&gt;
| | 1152.9412
        &lt;td&gt;40.678&lt;br /&gt;
| | 49\51
&lt;/td&gt;
|-
        &lt;td&gt;1159.322&lt;br /&gt;
| | 1\25
&lt;/td&gt;
| | 48
        &lt;td&gt;57\59&lt;br /&gt;
| | 1152
&lt;/td&gt;
| | 24\25
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 2\49
        &lt;td&gt;1\29&lt;br /&gt;
| | 48.9796
&lt;/td&gt;
| | 1151.0204
        &lt;td&gt;41.3793&lt;br /&gt;
| | 47\49
&lt;/td&gt;
|-
        &lt;td&gt;1158.6207&lt;br /&gt;
| | 1\24
&lt;/td&gt;
| | 50
        &lt;td&gt;28\29&lt;br /&gt;
| | 1150
&lt;/td&gt;
| | 23\24
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 2\47
        &lt;td&gt;2\57&lt;br /&gt;
| | 51.0638
&lt;/td&gt;
| | 1148.9562
        &lt;td&gt;42.1053&lt;br /&gt;
| | 45\47
&lt;/td&gt;
|-
        &lt;td&gt;1157.8947&lt;br /&gt;
| | 1\23
&lt;/td&gt;
| | 52.1739
        &lt;td&gt;55\57&lt;br /&gt;
| | 1047.8261
&lt;/td&gt;
| | 22\23
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 2\45
        &lt;td&gt;1\28&lt;br /&gt;
| | 53.<u>3</u>
&lt;/td&gt;
| | 1146.<u>6</u>
        &lt;td&gt;42.8571&lt;br /&gt;
| | 43\45
&lt;/td&gt;
|-
        &lt;td&gt;1157.1429&lt;br /&gt;
| | 1\22
&lt;/td&gt;
| | 54.<u>54</u>
        &lt;td&gt;27\28&lt;br /&gt;
| | 1145.<u>45</u>
&lt;/td&gt;
| | 21\22
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 2\43
        &lt;td&gt;2\55&lt;br /&gt;
| | 55.81395
&lt;/td&gt;
| | 1144.18605
        &lt;td&gt;43.&lt;u&gt;63&lt;/u&gt;&lt;br /&gt;
| | 41\43
&lt;/td&gt;
|-
        &lt;td&gt;1156.&lt;u&gt;36&lt;/u&gt;&lt;br /&gt;
| | 1\21
&lt;/td&gt;
| | 57.1429
        &lt;td&gt;53\55&lt;br /&gt;
| | 1143.8571
&lt;/td&gt;
| | 20\21
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 2\41
        &lt;td&gt;1\27&lt;br /&gt;
| | 58.5366
&lt;/td&gt;
| | 1141.4634
        &lt;td&gt;44.&lt;u&gt;4&lt;/u&gt;&lt;br /&gt;
| | 39\41
&lt;/td&gt;
|-
        &lt;td&gt;1155.&lt;u&gt;5&lt;/u&gt;&lt;br /&gt;
| | 1\20
&lt;/td&gt;
| | 60
        &lt;td&gt;26\27&lt;br /&gt;
| | 1140
&lt;/td&gt;
| | 19\20
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 2\39
        &lt;td&gt;2\53&lt;br /&gt;
| | 61.5385
&lt;/td&gt;
| | 1139.4615
        &lt;td&gt;45.283&lt;br /&gt;
| | 37\39
&lt;/td&gt;
|-
        &lt;td&gt;1054.717&lt;br /&gt;
| | 1\19
&lt;/td&gt;
| | 63.1579
        &lt;td&gt;51\53&lt;br /&gt;
| | 1136.8421
&lt;/td&gt;
| | 18\19
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 2\37
        &lt;td&gt;1\26&lt;br /&gt;
| | 64.<u>864</u>
&lt;/td&gt;
| | 1135.<u>135</u>
        &lt;td&gt;46.15385&lt;br /&gt;
| | 35\37
&lt;/td&gt;
|-
        &lt;td&gt;1153.84615&lt;br /&gt;
| | 1\18
&lt;/td&gt;
| | 66.<u>6</u>
        &lt;td&gt;25\26&lt;br /&gt;
| | 1133.<u>3</u>
&lt;/td&gt;
| | 17\18
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 2\35
        &lt;td&gt;2\51&lt;br /&gt;
| | 68.5714
&lt;/td&gt;
| | 1131.4286
        &lt;td&gt;47.0588&lt;br /&gt;
| | 33\35
&lt;/td&gt;
|-
        &lt;td&gt;1152.9412&lt;br /&gt;
| | 1\17
&lt;/td&gt;
| | 70.5882
        &lt;td&gt;49\51&lt;br /&gt;
| | 1129.4118
&lt;/td&gt;
| | 16\17
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 2\33
        &lt;td&gt;1\25&lt;br /&gt;
| | 72.<u>72</u>
&lt;/td&gt;
| | 1127.<u>27</u>
        &lt;td&gt;48&lt;br /&gt;
| | 31\33
&lt;/td&gt;
|-
        &lt;td&gt;1152&lt;br /&gt;
| | 1\16
&lt;/td&gt;
| | 75
        &lt;td&gt;24\25&lt;br /&gt;
| | 1125
&lt;/td&gt;
| | 15\16
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 3\47
        &lt;td&gt;2\49&lt;br /&gt;
| | 76.5957
&lt;/td&gt;
| | 1123.4043
        &lt;td&gt;48.9796&lt;br /&gt;
| | 44\47
&lt;/td&gt;
|-
        &lt;td&gt;1151.0204&lt;br /&gt;
| | 2\31
&lt;/td&gt;
| | 77.41935
        &lt;td&gt;47\49&lt;br /&gt;
| | 1122.58065
&lt;/td&gt;
| | 29\31
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 3\46
        &lt;td&gt;1\24&lt;br /&gt;
| | 78.2609
&lt;/td&gt;
| | 1121.7391
        &lt;td&gt;50&lt;br /&gt;
| | 43\46
&lt;/td&gt;
|-
        &lt;td&gt;1150&lt;br /&gt;
| | 1\15
&lt;/td&gt;
| | 80
        &lt;td&gt;23\24&lt;br /&gt;
| | 1120
&lt;/td&gt;
| | 14\15
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 3\44
        &lt;td&gt;2\47&lt;br /&gt;
| | 81.<u>81</u>
&lt;/td&gt;
| | 1118.<u>18</u>
        &lt;td&gt;51.0638&lt;br /&gt;
| | 41\44
&lt;/td&gt;
|-
        &lt;td&gt;1148.9562&lt;br /&gt;
| | 2\29
&lt;/td&gt;
| | 82.759
        &lt;td&gt;45\47&lt;br /&gt;
| | 1117.241
&lt;/td&gt;
| | 27\29
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 3\43
        &lt;td&gt;1\23&lt;br /&gt;
| | 83.7209
&lt;/td&gt;
| | 1116.2791
        &lt;td&gt;52.1739&lt;br /&gt;
| | 40\43
&lt;/td&gt;
|-
        &lt;td&gt;1047.8261&lt;br /&gt;
| | 1\14
&lt;/td&gt;
| | 85.7143
        &lt;td&gt;22\23&lt;br /&gt;
| | 1114.2857
&lt;/td&gt;
| | 13\14
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 3\41
        &lt;td&gt;2\45&lt;br /&gt;
| | 87.8049
&lt;/td&gt;
| | 1112.1951
        &lt;td&gt;53.&lt;u&gt;3&lt;/u&gt;&lt;br /&gt;
| | 38\41
&lt;/td&gt;
|-
        &lt;td&gt;1146.&lt;u&gt;6&lt;/u&gt;&lt;br /&gt;
| | 2\27
&lt;/td&gt;
| | 88.<u>8</u>
        &lt;td&gt;
| | 1111.<u>1</u>
| | 25\27
|-
| | 3\40
| | 90
| | 1110
| | 37\40
|-
| | 1\13
| | 92.3077
| | 1107.6923
| | 12\13
|-
| | 3\38
| | 94.7638
| | 1105.2362
| | 35\38
|-
| | 2\25
| | 96
| | 1104
| | 23\25
|-
| | 3\37
| | 97.<u>297</u>
| | 1102.<u>702</u>
| | 34\37
|-
| | 1\12
| | 100
| | 1100
| | 11\12
|-
| | 3\35
| | 102.8571
| | 1097.1429
| | 32\35
|-
| | 2\23
| | 104.3478
| | 1095.6522
| | 21\23
|-
| | 3\34
| | 105.88235
| | 1094.11765
| | 31\34
|-
| | 1\11
| | 109.<u>09</u>
| | 1090.<u>90</u>
| | 10