The best well-tempered divisions of nonets into 14 parts (14WTNs) are related to classical well temperaments, but with a nonet rather than the 2/1 being constant. The patent val has a generally sharp tendency for harmonics up to 21, with the exception for 11 and 13.
Intervals
|
|
“fifth” 2 = 600¢
|
“nonet” = 1351.429¢
|
“nonet” = 1460¢
|
“fifth” 2 = 800¢
|
| 1
|
100.2793
|
| 2
|
200.5586
|
| 3
|
300.8379
|
| 4
|
401.1171
|
| 5
|
501.3964
|
| 6
|
601.6757
|
| 7
|
701.955
|
| 8
|
787.6692
|
794.7369
|
810.2471
|
816.2407
|
| 9
|
873.3835
|
887.5189
|
918.5393
|
930.5264
|
| 10
|
959.0979
|
980.3008
|
1026.8314
|
1044.8121
|
| 11
|
1044.8121
|
1073.0828
|
1135.1236
|
1159.0979
|
| 12
|
1130.5264
|
1165.8647
|
1243.4157
|
1273.3835
|
| 13
|
1216.2407
|
1258.6466
|
1351.7079
|
1387.6693
|
| 14
|
1301.955
|
1351.429
|
1460
|
1501.955
|
Common Tuning
| 1
|
100.2793
|
| 2
|
200.5586
|
| 3
|
300.8379
|
| 4
|
401.1171
|
| 5
|
501.3964
|
| 6
|
601.6757
|
| 7
|
701.955
|
| 8
|
801.955
|
| 9
|
901.955
|
| 10
|
1001.955
|
| 11
|
1101.955
|
| 12
|
1201.955
|
| 13
|
1301.955
|
| 14
|
1401.955
|
|
|
Fifths
|
| 1
|
701.6757
|
| 2
|
701.3964
|
| 3
|
701.1171
|
| 4
|
700.8379
|
| 5
|
700.5586
|
| 6
|
700.2793
|
| 7
|
700
|
| 8
|
700.2793
|
| 9
|
700.5586
|
| 10
|
700.8379
|
| 11
|
701.1171
|
| 12
|
701.3964
|
| 13
|
701.6757
|
| 14
|
701.955
|