28edf

Division of the just perfect fifth into 28 equal parts (28EDF) is related to 48 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents stretched and the step size is about 25.0698 cents (corresponding to 47.8663 edo). It is related to the regular temperament which tempers out |187 -159 28> in the 5-limit; 6656/6655, 256000/255879, and 38671875/38614472 in the 13-limit (2.3.5.11.13 subgroup), which is supported by 335, 383, 718, 1053, and 1101 EDOs.

Intervals

	ed233\420-5¢ (~101ed4!)	ed31\54 (~49edo!)	ed121/81 (~ed11\19)	ed696¢	ed32\55	48edo=r¢	ed3/2	Pyrite		ed708¢	ed122/81 (~ed13\22)	ed34\57 (~47edo!)	ed37\60+5¢ (~91ed4!)
								(~ed17\29)	(~ed10\17)
1	23.5969-23.7755	24.6032	24.81485	24.8571	24.9351	25	25.0698	25.1299	25.2091	25.2857	25.3234	25.5639	26.4286-26.6071
2	47.1939-47.551	49.20635	49.6297	49.7143	49.8701	50	50.1396	50.2597	50.41825	50.5714	50.6475	51.1278	52.8571-53.2143
3	70.7908-71.3625	73.8095	74.4446	74.5714	74.8052	75	75.2095	75.3896	75.6274	75.8571	75.9712	76.6917	79.2857-79.8574
4	94.3878-95.102	98.4127	99.2594	99.4286	99.7403	100	100.2793	100.5194	100.8365	101.1429	101.295	102.2556	105.7143-106.4286
5	117.9847-118.87755	123.0159	124.0743	124.2857	124.6753	125	125.3491	125.6493	126.0456	126.4286	126.6187	127.81955	132.1429-133.0357
6	141.5816-142.653	147.61905	148.8891	149.1429	149.6104	150	150.4189	150.77915	151.2547	151.7143	151.9425	153.3835	158.5714-159.6429
7	165.1786-166.4286	172.2222	173.704	174	174.54545	175	175.48875	175.909	176.4639	177	177.2662	178.947	185-186.25
8	188.7755-190.2041	196.8254	198.5188	198.8571	199.4805	200	200.5586	201.0389	201.673	202.2857	202.5899	204.5113	211.4286-212.8571
9	212.3724-213.9796	221.4286	223.3337	223.7143	224.4156	225	225.6284	226.1687	226.8821	227.5714	227.9137	230.0752	237.8571-239.4643
10	235.9694-237.7551	246.03175	248.1485	248.5714	249.35065	250	250.6982	251.2986	252.0912	252.8571	253.2374	255.6391	264.2857-266.0714
11	259.5663-261.5306	270.6349	272.9634	273.4286	274.2857	275	275.768	276.4284	277.3004	278.1429	278.5612	281.203	290.7143-292.6786
12	283.1633-285.3061	295.2381	297.782	298.2857	299.2208	300	300.8379	301.5583	302.5095	303.4286	303.8849	306.7669	317.1429-319.2857
13	306.7602-309.0816	319.8413	322.5931	323.1429	324.1558	325	325.9077	326.6682	327.7186	328.7143	329.2087	332.3308	343.5714-345.8929
14	330.3571-332.8571	344.4444	347.408	348	349.0909	350	350.9775	351.818	352.9277	354	354.5324	357.8947	370-372.5
15	353.9541-356.63265	369.0476	372.2228	372.8571	374.026	375	376.0473	376.9479	378.13685	379.2857	379.8561	383.45865	396.4286-399.1071
16	377.551-380.4082	393.6508	397.03765	397.7143	398.961	400	401.1171	402.0777	403.346	404.5714	405.1799	409.0226	422.8571-425.7143
17	401.148-404.1837	418.254	421.8525	422.5714	423.8961	425	426.187	427.2076	428.5551	429.8571	430.5036	434.5865	449.5714-452.3214
18	424.7449-427.9592	442.8571	446.66735	447.4286	448.8312	450	451.2568	452.33745	453.7642	455.1429	455.8274	460.1504	475.7143-478.9286
19	448.3418-451.7347	467.460	471.4822	472.2857	473.7662	475	476.3266	477.4673	478.97333	480.4286	481.1511	485.7143	502.1429-505.5357
20	471.9388-475.5102	492.0635	496.2971	497.1429	498.7013	500	501.3964	502.5972	504.1825	505.7143	506.4749	511.2781	528.5714-532.1429
21	495.5357-499.2857	516.6667	521.1119	522	523.6364	525	526.46625	527.727	529.3916	531	531.7986	536.8421	555-558.75
22	519.13265-523.0612	541.2698	545.9268	546.8571	548.5714	550	551.536	552.8569	554.6007	556.2857	557.1223	562.406	581.4286-585.3571
23	542.7296-546.8367	565.873	570.7416	571.4286	573.5065	575	576.6059	577.9867	579.8098	581.5714	582.4461	587.9699	607.8571-611.9643
24	566.3265-570.6122	590.4762	595.5565	596.5714	598.4416	600	601.6757	603.1166	605.019	606.8571	607.7698	613.5338	634.2857-638.5714
25	589.9235-594.3878	615.0794	620.3713	621.4286	623.3766	625	626.7455	628.2465	630.2281	632.1429	633.0936	639.0977	660.7143-665.1786
26	613.5204-618.1633	639.6825	645.1862	646.2857	648.3117	650	651.8154	653.3763	655.4372	657.4286	658.4173	664.66165	687.1429-691.7857
27	637.1173-641.9388	664.2857	670.001	671.1429	673.24765	675	676.8852	678.5062	680.6463	682.7143	683.7411	690.2256	713.5714-718.3929
28	660.7143-665.7143	688.8889	694.8158	696	698.1818	700	701.955	703.636	705.85545	708	709.0648	715.7895	740-745
29	684.3112-689.4898	713.4921	719.6307	720.8571	723.1169	725	727.0248	728.7659	731.0646	733.2857	734.3885	741.3534	766.4286-771.6071
30	707.9082-713.2653	738.0952	744.4456	745.7143	748.05195	750	752.0946	753.89575	756.2736	758.5714	759.7123	766.9173	792.8571-798.2143
31	731.5051-737.0408	762.6984	769.2604	770.5714	772.987	775	777.1645	779.0256	781.4828	783.8571	785.036	792.4812	819.2857-824.8214
32	755.102-760.8163	787.3016	794.0753	795.4286	797.9221	800	802.2343	804.1555	806.6919	809.1429	810.3598	818.0451	845.7143-851.4286
33	778.699-784.5918	811.9048	818.89015	820.2857	822.8571	825	827.3041	829.2853	831.9011	834.4286	835.6835	843.609	872.1429-876.0357
34	802.2959-808.36735	836.5079	843.705	845.1429	847.7922	850	852.3739	854.4152	857.1102	859.7143	961.0073	869.1729	898.5714-904.6429
35	825.8929-832.1429	861.1111	868.51985	870	872.7273	875	877.44375	879.545	882.3193	885	886.331	894.7368	925-931.25
36	849.4898-855.9184	885.7143	893.3347	894.8571	897.6623	900	902.5136	904.6749	907.5284	910.2857	911.6547	920.30075	951.4286-957.8571
37	873.0867-879.6939	910.3175	918.1496	919.7143	922.5974	925	927.5834	929.8048	932.3767	935.5714	936.9785	945.8647	977.8571-984.4643
38	896.6387-903.4694	934.9206	942.9644	944.5714	947.5325	950	952.6532	954.9346	957.9467	960.8571	962.3022	971.4286	1004.2857-1011.0714
39	920.2806-927.2449	959.5238	967.7793	969.4286	972.4675	975	977.723	980.0645	983.1558	986.1429	987.626	996.9925	1030.7143-1037.6786
40	943.8776-951.0204	984.127	992.5941	994.2857	997.4126	1000	1002.7929	1005.1943	1008.3649	1011.4286	1012.9497	1022.5564	1057.1429-1064.2857
41	967.4745-974.7959	1008.7302	1017.409	1019.1429	1022.3377	1025	1027.8627	1030.3242	1033.57405	1035.7143	1038.2735	1048.1203	1083.5714-1090.8929
42	991.0714-998.5714	1033.333	1042.2238	1044	1047.2727	1050	1052.9325	1055.454	1058.7832	1062	1063.5972	1073.6842	1110-1117.5
43	1014.6684-1022.3469	1057.9365	1067.0386	1068.8571	1072.2078	1075	1078.0023	1080.5839	1083.9923	1087.2857	1088.92095	1099.2481	1136.4286-1144.1071
44	1038.2653-1046.12245	1082.5397	1091.8535	1093.7143	1097.1429	1100	1103.0721	1105.7138	1109.2014	1112.5714	1114.2447	1124.812	1162.8571-1170.7143
45	1061.8622-1069.898	1107.1429	1116.6684	1118.5714	1122.0779	1125	1128.142	1130.8436	1134.41055	1137.8571	1139.5684	1150.3759	1189.2857-1197.3214
46	1085.4592-1093.6735	1131.7646	1141.4832	1143.4286	1147.013	1150	1153.2118	1155.9735	1159.6297	1163.1429	1164.8922	1175.93985	1215.7143-1223.9286
47	1109.0561-1117.449	1156.3492	1166.2981	1168.2857	1171.94805	1175	1178.2816	1181.1033	1184.8288	1188.4286	1190.2159	1201.5038	1242.1429-1250.5357
48	1132.6531-1141.2245	1180.9524	1191.1129	1193.1429	1196.8831	1200	1203.3514	1206.2332	1210.0379	1213.7143	1215.5397	1227.0677	1268.5714-1277.1429
49	1156.25-1165	1205.5556	1215.9278	1218	1221.8182	1225	1228.42125	1231.6306	1235.247	1239	1240.8634	1252.6316	1295-1303.75
50	1179.8469-1188.7755	1230.1587	1240.74265	1242.8571	1246.75325	1250	1253.4911	1256.4929	1260.4561	1264.2857	1266.18715	1278.1955	1321.4286-1330.3571
51	1203.4439-1212.551	1254.7619	1265.5575	1267.7143	1271.6883	1275	1278.5609	1281.6228	1285.6653	1289.5714	1291.5109	1303.7594	1347.8571-1356.9643
52	1227.0408-1236.3265	1279.3651	1290.37235	1292.5714	1296.6234	1300	1303.6307	1306.7526	1310.8744	1314.8571	1316.8346	1329.3233	1374.2857-1383.5714
53	1250.6378-1260.102	1303.96825	1315.1872	1317.4286	1321.5584	1325	1328.7005	1331.8825	1336.0835	1340.1429	1342.1584	1354.8872	1400.7143-1410.1786
54	1227.0408-1236.3265	1328.5714	1340.0021	1342.2857	1346.4395	1350	1353.7704	1357.01235	1361.2927	1365.4286	1367.4821	1380.4511	1427.1429-1436.7857
55	1297.8316-1307.6531	1353.1746	1364.8169	1367.1429	1371.4286	1375	1378.8418	1382.1422	1386.5018	1390.7143	1392.8059	1406.015	1453.5714-1463.3929
56	1321.4286-1331.4286	1377.7778	1389.6318	1392	1396.3636	1400	1403.91	1407.2721	1411.7109	1416	1418.1296	1431.57895	1480-1490