30wtn

A 30 tone well tempered nonet (30WTN) is related to well temperaments of 25edo and 26edo, but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate division of the just perfect fifth into 15 equal parts (15EDF) with sequences of fifteen equal steps of 40 to 53.333 cents each. This will create fifteen 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	46.797		48	46.154
2	93.594		96	92.308
3	140.391		144	138.4615
4	187.188		192	184.615
5	233.985		240	230.769
6	280.782		288	276.923
7	327.579		336	323.077
8	374.376		384	369.231
9	421.173		432	415.385
10	467.97		480	461.5385
11	514.767		528	507.692
12	561.564		576	553.846
13	608.361		624	600.00
14	655.158		672	646.154
15	701.955		720	692.308
16	751.7595	747.232	768	738.4615
17	801.564	792.509	816	784.615
18	851.3685	837.7855	864	830.769
19	901.173	883.062	912	876.923
20	950.9775	928.339	960	923.077
21	1000.782	973.616	1008	969.231
22	1050.6865	1018.938	1056	1015.385
23	1100.391	1064.1695	1104	1061.5385
24	1150.1955	1109.446	1152	1107.692
25	1200	1154.723	1200	1153.846
26	1249.8045	1200	1240.782	1200
27	1299.609	1245.277	1281.564	1250.9775
28	1349.4135	1290.554	1322.346	1301.955
29	1399.218	1335.8305	1363.128	1352.9325
30	1449.0225	1381.107	1403.91

Todo: clarify, unify precision