User:Moremajorthanmajor/32wtn

A 32 tone well tempered nonet (32WTN) is related to well temperaments of 27edo and 28edo, but with a nonet rather than the 2/1 being constant. Its patent tunings alternate division of the just perfect fifth into 16 equal parts (16EDF) with sequences of sixteen equal steps of 37.5 to 50 cents each. This will create sixteen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.

Optimal Intervals

	Minimum a	Maximum a	Minimum b	Maximum b
1	43.8722
2	87.7444
3	131.6166
4	175.48875
5	219.3609
6	263.2331
7	307.1053
8	350.9775
9	394.8497
10	438.7219
11	482.5941
12	526.46625
13	570.3384
14	614.2106
15	658.0828
16	701.9550
17	745.5914	748.70825	741.955	744.8121
18	789.2277	795.4615	781.955	787.6692
19	832.8641	841.2147	821.955	830.5264
20	876.5005	888.9679	861.955	873.3836
21	920.1368	935.7212	901.955	916.2407
22	963.7732	982.4745	941.955	959.0979
23	1007.4095	1029.2277	981.955	1001.955
24	1051.0459	1075.9809	1021.955	1044.8121
25	1094.6822	1122.7342	1061.955	1087.6692
26	1138.3186	1169.4875	1101.955	1130.5264
27	1181.955	1216.2407	1141.955	1173.3836
28	1225.5914	1262.994	1181.955	1216.2407
29	1269.2277	1309.7472	1221.955	1259.0979
30	1312.8642	1356.5005	1261.955	1301.955
31	1356.5005	1403.2537	1301.955	1344.8121
32	1400.1368	1450.007	1341.955	1387.6792