User:Moremajorthanmajor/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.

Optimal Intervals

Target a Target b
1 53.9965
2 107.9931
3 161.9896
4 215.9862
5 269.9827
6 323.9792
7 377.9758
8 431.9723
9 485.9688
10 539.9654
11 593.9619
12 647.9585
13 701.9550
14 757.2933 751.7595
15 812.6317 801.564
16 867.97 851.3685
17 923.3083 901.173
18 978.6467 950.9775
19 1033.985 1000.782
20 1089.3233 1050.6865
21 1144.6617 1100.391
22 1200 1150.1955
23 1255.3383 1200
24 1310.6767 1249.8045
25 1366.015 1299.609
26 1421.3533 1349.4135