48wtn

A 48 tone well tempered nonet (48WTN) is related to well temperaments of 41edo, but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate division of the just perfect fifth into 24 equal parts (24EDF) with sequences of twenty-four equal steps of 25 to 33.3333 cents each. This will create twenty-fourequally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.

Patent Intervals

	Target	Alternating edo and *ed(9/8)
1	29.2481	29.2683
2	58.49625	58.5366
3	87.7444	87.8049
4	116.9925	117.0732
5	146.2406	146.3415
6	175.48875	175.6098
7	204.7369	204.87805
8	233.985	234.1463
9	263.2331	263.4146
10	292.48125	292.6829
11	321.7293	321.9512
12	350.9775	351.2195
13	380.2256	380.4878
14	409.47375	409.7561
15	438.7219	439.0244
16	467.97	468.2927
17	497.2181	497.561
18	526.46625	526.8293
19	556.7144	556.0976
20	584.9625	585.36585
21	614.2106	614.63415
22	643.45875	643.9024
23	671.7069	673.1607
24	701.955	702.439
25	731.2518	731.7073
26	760.5485	760.9756
27	789.8453	790.2439
28	819.1421	819.5122
29	848.4388	848.7805
30	877.7356	878.0488
31	907.03235	907.3171
32	936.3291	936.5854
33	965.6259	965.8537
34	994.92265	995.12195
35	1024.2194	1024.3902
36	1053.5162	1053.6685
37	1082.8129	1082.9268
38	1112.1547	1112.1951
39	1141.4515	1141.4634
40	1170.7032	1170.7317
41	1200
42	1229.2968	1229.13
43	1258.5935	1258.26
44	1287.8903	1287.39
45	1317.1871	1316.52
46	1346.4838	1345.65
47	1375.7806	1374.78
48	1405.07735	1403.91