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 |
