26wtn

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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