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 optimally 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.

Patent Intervals

	Target a	Target b	Alternating edo and *ed(9/8) a	Alternating edo and *ed(9/8) b
1	43.8722		44.4444	42.8571
2	87.7444		88.8889	85.7129
3	131.6166		133.3333	128.5714
4	175.48875		177.7778	171.4286
5	219.3609		222.2222	214.2857
6	263.2331		266.6667	257.1429
7	307.1053		311.1112	300.00
8	350.9775		355.5556	342.8571
9	394.8497		400.00	385.7129
10	438.7219		444.4444	428.5714
11	482.5941		488.8889	471.4286
12	526.46625		533.3333	514.2857
13	570.3384		577.7778	557.1429
14	614.2106		622.2222	600.00
15	658.0828		666.6667	642.8571
16	701.9550		711.1111	685.7129
17	747.232	743.459	755.5556	728.5714
18	792.509	784.9625	800.00	771.4286
19	837.7855	826.466	844.4444	814.2857
20	883.062	867.97	888.8889	857.1429
21	928.339	909.474	933.3333	900.00
22	973.616	950.9775	977.7778	942.8571
23	1018.938	993.481	1022.2222	985.7129
24	1064.1695	1033.985	1066.6667	1028.5714
25	1109.446	1075.489	1111.1111	1071.4286
26	1154.723	1116.9925	1155.5556	1114.2857
27	1200	1158.496	1200	1157.1429
28	1245.277	1200	1240.782	1200
29	1290.554	1241.504	1281.564	1250.9775
30	1335.8305	1283.0075	1322.346	1301.955
31	1381.107	1324.511	1363.128	1352.9325
32	1426.384	1366.015	1403.91

Todo: clarify, unify precision