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 |
