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.
Patent Intervals
|
Target a
|
Target b
|
Alternating edo and *ed(9/8)
|
1
|
100.2793
|
100
|
2
|
200.5586
|
200
|
3
|
300.8379
|
300
|
4
|
401.1171
|
400
|
5
|
501.3964
|
500
|
6
|
601.6757
|
600
|
7
|
701.955
|
700
|
8
|
801.564
|
784.9625
|
800
|
9
|
901.173
|
867.97
|
900
|
10
|
1000.782
|
950.9775
|
1000
|
11
|
1101.391
|
1033.985
|
1100
|
12
|
1200
|
1116.9925
|
1200
|
13
|
1299.609
|
1200
|
1301.955
|
14
|
1398.218
|
1283.0075
|
1403.91
|
Todo: clarify, unify precision |