34wtn

A 34 tone well tempered nonet (34WTN) is related to well temperaments of 29edo and 30edo, but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate division of the just perfect fifth into 17 equal parts (17EDF) with sequences of seventeen equal steps of 35.2941 to 47.0588 cents each. This will create seventeen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.

Patent Intervals

	Target a	Alternating edo and *ed(9/8)
1	41.2915	41.3793
2	82.5829	82.7586
3	123.8744	124.1379
4	165.1659	165.5172
5	206.45735	206.89655
6	248.7488	248.2758
7·	289.0403	289.6552
8	330.3318	331.0345
9	371.6232	372.4137
10	412.9147	413.7931
11	455.2062	455.1724
12·	495.49765	496.5517
13	536.7891	537.931
14	578.0806	579.3103
15	619.3721	620.6897
16	660.6635	662.069
17·	701.955	703.4483
18	743.45875	744.8276
19	784.9625	786.2069
20	826.46625	827.5863
21	867.97	868.9655
22·	909.47375	910.3448
23	950.9775	951.7242
24	993.48125	993.10345
25	1033.985	1034.4828
26	1075.48875	1075.8621
27	1116.9925	1117.2414
28	1158.49625	1158.6207
29	1200
30	1241.50375	1240.782
31	1283.0075	1281.564
32	1324.51125	1322.346
33	1366.015	1363.128
34	1407.51875	1403.91

Todo: clarify, unify precision