Edo anatomy

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

as exponent [math]2^f[/math]	in cents 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