8ed16/15

English Wikipedia has an article on:

Delta scale

Delta scale is the equal division of the classic diatonic semitone (16/15) into eight parts of 13.9664 cents each, corresponding to 85.9204 edo. It is inconsistent to the 5-limit and higher limit, as 3/2, 5/4, and 6/5 fall on the 50th, 28th, and 23rd steps in the best direct mapping, respectively.

Lookalikes: 86edo, 136ed3, 50edf

Intervals

degree	cents value										corresponding JI intervals
	72ED25/14	86EDO	8ED16/15	222ED6	136ED3	75ED11/6	Golden 85-86EDO	171ED4	50EDF	85EDO
0											exact 1/1
1	13.942	13.9535	13.966	13.973	13.985	13.9915	14.016	14.035	14.039	14.118	126/125
2	27.883	27.907	27.933	27.946	27.970	27.983	28.0315	28.07	28.078	28.235	64/63
3	41.825	41.8605	41.899	41.918	41.955	41.975	42.047	42.105	42.117	42.353	128/125, 169/165, 165/161
4	55.767	55.814	55.866	55.891	55.940	55.966	56.063	56.14	56.156	56.471	95/92
5	69.708	69.767	69.832	69.864	69.925	69.958	70.079	70.175	70.1955	70.588	51/49, 25/24
6	83.650	83.721	83.798	83.837	83.910	83.949	84.094	84.2105	84.235	84.706	85/81, 21/20
7	97.592	97.674	97.765	97.809	97.895	97.941	98.11	98.246	98.274	98.8235	55/52, 128/121, 91/86
8	111.534	111.628	111.731	111.782	111.880	111.932	112.126	112.281	112.313	112.941	16/15
9	125.475	125.581	125.698	125.755	125.865	125.924	126.124	126.316	126.352	127.059	14/13
10	139.417	139.535	139.664	139.728	139.850	139.915	140.157	140.351	140.391	141.1765	13/12
11	153.359	153.488	153.631	153.700	153.835	153.907	154.173	154.386	154.43	155.294	59/54, 47/43, 35/32
12	167.3	167.442	167.597	167.673	167.820	167.898	168.189	168.421	168.469	169.412	76/69, 65/59
13	181.242	181.395	181.563	181.646	181.805	181.890	182.205	182.456	182.508	183.529	10/9
14	195.184	195.349	195.530	195.619	195.789	195.881	196.22	196.491	196.547	197.647	28/25
15	209.125	209.302	209.496	209.592	209.774	209.873	210.236	210.526	210.5865	211.765	44/39, 35/31
16	223.067	223.256	223.463	223.564	223.759	223.864	224.252	224.561	224.626	225.882	33/29
17	237.009	237.209	237.429	237.537	237.744	237.856	238.268	238.5965	238.665	240	39/34 (pseudo-8/7)
18	250.950	251.163	251.395	251.51	251.729	251.847	252.283	252.632	252.704	254.118	37/32, 22/19
19	264.892	265.116	265.362	265.483	265.714	265.839	266.299	266.667	266.743	268.235	7/6
20	278.834	279.07	279.328	279.455	279.699	279.830	280.315	280.702	280.78	282.353	27/23, 47/40, 20/17
21	292.775	293.023	293.295	293.428	293.684	293.822	294.3305	294.737	294.821	296.353	45/38, 77/65, 32/27
22	306.717	306.977	307.261	307.401	307.669	307.813	308.346	308.772	308.86	310.588	80/67, 43/36
23	320.659	320.93	321.227	321.374	321.654	321.805	322.362	322.807	322.899	324.706	65/54 (pseudo-6/5)
24	334.601	334.884	335.194	335.346	335.639	335.796	336.378	336.842	336.938	338.8235	17/14
25	348.542	348.837	349.160	349.319	349.624	349.788	350.3935	350.877	350.9775	352.941	11/9, 104/85, 60/49
26	362.484	362.791	363.127	363.292	363.609	363.779	364.409	364.912	365.017	367.059	37/30
27	376.426	376.744	377.093	377.265	377.594	377.771	378.425	378.947	379.056	381.1765	46/37, 97/78
28	390.367	390.698	391.059	391.238	391.579	391.762	392.441	392.9825	393.095	395.294	94/75, 89/71 (pseudo-5/4)
29	404.309	404.651	405.026	405.210	405.564	405.754	406.456	407.0175	407.134	409.412	24/19, 91/72
30	418.251	418.605	418.992	419.183	419.549	419.745	420.472	421.053	421.173	423.529	14/11, 65/51, 51/40
31	432.192	432.558	432.959	433.156	433.534	433.737	434.488	435.088	435.212	437.647	104/81, 113/88, 122/95, 9/7
32	446.134	446.512	446.925	447.129	447.519	447.728	445.503	449.123	449.251	451.765	22/17
33	460.076	460.465	460.892	461.101	461.504	461.72	462.519	463.158	463.29	465.882	17/13
34	474.017	474.419	474.858	475.074	475.489	475.711	476.535	477.193	477.329	480
35	487.959	488.372	488.824	489.047	489.474	489.703	490.551	491.228	491.3685	494.118
36	501.901	502.326	502.791	503.02	503.459	503.694	504.567	505.263	505.408	508.235
37	515.842	516.279	516.757	516.993	517.444	517.686	518.582	519.298	519.448	522.353
38	529.784	530.233	530.724	530.965	531.429	531.677	532.598	533.333	533.486	536.471
39	543.726	544.186	544.69	544.938	545.414	545.669	546.614	547.368	547.525	550.558
40	557.668	558.14	558.656	558.911	559.399	559.66	560.63	561.4035	561.564	564.706
41	571.609	572.093	572.623	572.884	573.383	573.652	574.645	575.439	575.603	578.8235
42	585.551	586.047	586.589	586.856	587.368	587.643	588.661	589.474	589.642	592.941	7/5
43	599.493	600	600.556	600.829	601.353	601.635	602.677	603.509	603.681	606.059	17/12
44	613.434	613.953	614.522	614.802	615.338	615.626	616.6925	617.544	617.72	620.1765
45	627.376	627.907	628.488	628.775	629.323	629.618	630.708	631.578	631.7595	635.294
46	641.318	641.860	642.455	642.747	643.308	643.609	644.724	645.614	645.799	649.412
47	655.259	655.814	656.421	656.720	657.293	657.601	658.74	659.649	659.838	663.519
48	669.201	669.767	670.388	670.693	671.278	671.592	672.7555	673.684	673.877	677.647
49	683.143	683.721	684.354	684.666	685.263	685.584	686.771	687.719	687.916	691.765
50	697.084	697.674	698.321	698.639	699.248	699.575	700.787	701.754	701.955	705.882	3/2
51	711.026	711.628	712.287	712.611	713.233	713.567	714.803	715.7895	715.994	720
52	724.968	725.581	726.253	726.584	727.218	727.558	728.8185	729.825	730.033	734.118
53	738.909	739.535	740.220	740.557	741.203	741.55	742.824	743.86	744.072	748.235
54	752.851	753.488	754.186	754.530	755.188	755.541	756.85	757.895	758.111	762.353
55	766.793	767.442	768.153	768.502	769.173	769.533	770.866	771.93	772.1505	776.471
56	780.735	781.395	782.119	782.475	783.158	783.524	784.881	785.965	786.19	790.588
57	794.676	795.349	796.085	796.448	797.143	797.516	798.897	800	800.229	804.706
58	808.618	809.302	810.052	810.421	811.128	811.507	812.913	814.035	814.268	818.8235	8/5
59	822.560	823.256	824.018	824.393	825.113	825.499	826.929	828.07	828.307	832.941
60	836.501	837.209	837.985	838.366	839.098	839.490	840.944	842.105	842.346	847.059	13/8
61	850.443	851.163	851.951	852.339	853.083	853.482	854.96	856.14	856.385	861.1765
62	864.385	865.116	865.917	866.312	867.068	867.473	868.976	870.175	870.424	875.294
63	878.326	879.070	879.884	880.285	881.053	881.465	882.9915	884.2105	884.463	889.412	5/3
64	892.268	893.023	893.850	894.257	895.038	895.456	897.007	898.246	898.502	903.529
65	906.210	906.977	907.817	908.230	909.023	909.448	911.023	912.281	912.5415	917.647
66	920.151	920.930	921.783	922.203	923.008	923.439	925.039	926.316	926.581	931.1765
67	934.093	934.884	935.750	936.176	936.993	937.431	939.0555	940.351	940.692	945.882
68	948.035	948.837	949.716	950.148	950.978	951.422	953.07	954.386	954.659	960
69	961.976	962.791	963.682	964.121	964.962	965.414	967.086	968.421	968.698	974.118	7/4
70	975.918	976.744	977.649	978.094	978.947	979.405	981.102	982.456	982.737	988.235
71	989.860	990.698	991.615	992.067	992.932	993.397	995.1175	996.491	996.776	1002.353	16/9
72	1003.802	1004.651	1005.582	1006.039	1006.917	1007.388	1009.133	1010.526	1010.815	1016.471	25/14
73	1017.743	1018.605	1019.548	1020.012	1020.902	1021.38	1023.149	1024.561	1024.854	1030.588	9/5
74	1031.685	1032.558	1033.514	1033.985	1034.887	1035.371	1037.165	1038.5965	1038.893	1044.706
75	1045.627	1046.512	1047.481	1047.958	1048.872	1049.363	1051.18	1052.632	1052.9325	1058.8235	11/6
76	1059.568	1060.465	1061.447	1061.931	1062.857	1063.354	1065.196	1066.667	1066.972	1072.941
77	1073.51	1074.419	1075.414	1075.903	1076.842	1077.346	1079.212	1080.702	1081.011	1087.059	28/15
78	1087.452	1088.372	1089.380	1089.876	1090.827	1091.337	1093.228	1094.737	1095.05	1101.1765	15/8
79	1101.393	1102.326	1103.346	1103.849	1104.812	1105.329	1107.243	1108.772	1109.089	1115.294
80	1115.335	1116.279	1117.313	1117.822	1118.797	1119.320	1121.259	1122.807	1123.128	1129.412
81	1129.277	1130.233	1131.279	1131.794	1132.782	1133.312	1135.275	1136.842	1137.167	1143.529
82	1143.218	1144.186	1145.246	1145.767	1146.767	1147.303	1149.291	1150.877	1151.206	1157.647
83	1157.16	1158.14	1159.212	1159.74	1160.752	1161.295	1163.306	1164.912	1165.245	1171.765
84	1171.102	1172.093	1173.178	1173.713	1174.737	1175.286	1177.322	1178.947	1179.284	1185.882
85	1185.043	1186.047	1187.145	1187.685	1188.722	1189.278	1191.338	1192.9825	1193.3235	1200
86	1198.985	1200	1201.111	1201.658	1202.707	1203.270	1205.3535	1207.0175	1207.363	1214.118	2/1
87	1212.927	1213.9535	1215.078	1215.631	1216.692	1217.261	1219.369	1221.053	1221.402	1228.235
88	1126.8685	1227.907	1229.044	1229.604	1230.677	1231.2525	1233.385	1235.088	1235.441	1242.353
89	1240.81	1241.8605	1243.0105	1243.577	1244.662	1245.244	1247.401	1249.123	1249.48	1256.471
90	1254.752	1255.814	1256.698	1257.549	1258.647	1259.2355	1261.4165	1263.158	1263.519	1270.588
91	1268.694	1269.767	1270.943	1271.522	1272.632	1273.227	1275.432	1277.193	1277.558	1284.706
92	1282.635	1283.721	1284.91	1285.495	1286.617	1287.2185	1289.448	1291.228	1291.597	1298.8235
93	1296.577	1297.674	1298.876	1299.468	1300.602	1301.21	1303.464	1305.263	1305.636	1312.941
94	1310.519	1311.628	1312.426	1314.404	1314.5865	1315.202	1317.479	1319.298	1319.675	1327.059
95	1324.46	1325.581	1326.809	1327.413	1328.5715	1329.193	1331.495	1333.333	1333.7145	1341.1765
96	1338.402	1339.535	1340.775	1341.386	1342.5565	1343.185	1345.511	1347.368	1347.754	1355.294
97	1352.344	1353.488	1354.742	1355.358	1356.414	1357.176	1359.527	1361.4035	1361.793	1369.412
98	1366.285	1367.442	1368.708	1369.3315	1370.526	1371.168	1373.542	1375.439	1375.832	1383.529
99	1380.227	1381.395	1382.675	1383.304	1384.511	1385.159	1387.558	1389.474	1389.871	1397.647	20/9
100	1394.169	1395.349	1396.641	1397.277	1398.496	1399.151	1401.574	1403.509	1403.91	1411.765	9/4