40wtn

A 40 tone well tempered nonet (40WTN) is related to well temperaments of 34edo and 35edo, but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate division of the just perfect fifth into 20 equal parts (20EDF) with sequences of twenty equal steps of 30 to 40 cents each. This will create twenty 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	35.1		35.294	34.286
2	70.2		70.588	68.571
3	105.29		105.882	102.857
4	140.39		141.1765	137.143
5	175.49		176.471	171.429
6	210.59		211.765	205.714
7	245.68		247.059	240
8	280.78		282.353	274.286
9	315.88		317.647	308.571
10	350.98		352.941	342.857
11	386.075		388.235	377.143
12	421.17		423.529	411.429
13	456.27		458.8235	445.714
14	491.37		494.118	480
15	526.47		529.412	514.286
16	561.56		564.706	548.571
17	596.66		600.000	582.857
18	631.76		635.294	617.143
19	666.86		670.588	651.429
20	701.955		705.882	685.714
21	737.53	735.158	741.1765	720
22	773.104	768.361	776.471	754.286
23	808.679	801.564	811.765	788.571
24	844.2535	834.767	847.059	822.857
25	879.828	867.97	882.353	857.143
26	915.403.	901.173	917.647	891.429
27	950.9775	934.376	952.941	925.714
28	986.552	967.579	988.235	960
29	1022.127	1000.782	1023.529	994.286
30	1057.701	1033.985	1058.8235	1028.571
31	1093.276	1067.188	1094.118	1062.857
32	1128.851	1100.391	1129.412	1097.143
33	1164.425	1133.594	1164.706	1131.429
34	1200	1166.797	1200	1165.714
35	1235.575	1200	1233.985	1200
36	1271.149	1233.203	1267.97	1240.782
37	1306.724	1266.406	1301.995	1281.564
38	1342.2985	1299.609	1335.94	1322.346
39	1377.873	1332.812	1369.925	1363.128
40	1413.448	1366.015	1403.91