26wtn

A 26 tone well tempered nonet (26WTN) is related to well temperaments of 22edo and 23edo, but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate division of the just perfect fifth into 13 equal parts (13EDF) with sequences of thirteen equal steps of 46.15385 to 61.5385 cents each. This will create thirteen 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	53.9965		54.54545	52.1739
2	107.9931		109.0909	104.3478
3	161.9896		163.6364	156.5217
4	215.9862		218.1818	208.6957
5	269.9827		272.7273	260.8696
6	323.9792		327.2727	313.0435
7	377.9758		381.8182	365.2174
8	431.9723		436.3636	417.3913
9	485.9688		490.9091	469.5652
10	539.9654		545.45455	521.7391
11	593.9619		600.000	573.913
12	647.9585		654.54545	626.087
13	701.9550		709.0909	678.2609
14	757.2933	751.7595	763.6364	730.4348
15	812.6317	801.564	818.1818	782.6087
16	867.97	851.3685	872.7273	834.7826
17	923.3083	901.173	927.2727	886.9565
18	978.6467	950.9775	981.8182	939.1304
19	1033.985	1000.782	1036.364	991.3043
20	1089.3233	1050.6865	1090.9091	1043.4783
21	1144.6617	1100.391	1145.45455	1095.6522
22	1200	1150.1955	1200.000	1147.8261
23	1255.3383	1200	1250.9775	1200.000
24	1310.6767	1249.8045	1301.955	1267.97
25	1366.015	1299.609	1352.9325	1333.94
26	1421.3533	1349.4135	1403.91

Todo: clarify, unify precision