16WTN is optimally the equal division of the fifth into 8 steps of 87.7444 cents each, alternated with a sequence of eight equal steps of another interval between 75 and 100 cents in its patent tunings making its best tunings very nearly 88cET.
Patent Intervals
The best tunings of 16WTN can be interpreted as tunings for the Natural and Harmonic Minor modes of Annapolis[6L 4s]. For the notation of these modes, Greek numerals 1-10 can be used (Α,Β,Γ,Δ,Ε,Ϛ/Ϝ,Ζ,Η,Θ,Ι [J]).
|
|
Target a
|
Target b
|
Alternating edo and *ed(9/8) a
|
Alternating edo and *ed(9/8) b
|
Annapolis[6L 4s]
|
| 1
|
87.7444
|
92.3077
|
85.7143
|
Α#
|
| 2
|
175.48875
|
184.6154
|
171.4286
|
Β
|
| 3
|
263.2331
|
276.9231
|
257.1429
|
Γ
|
| 4
|
350.9775
|
369.2308
|
342.8571
|
Γ#
|
| 5
|
438.7219
|
461.5385
|
428.5714
|
Δ
|
| 6
|
526.46625
|
553.84615
|
514.2857
|
Δ#
|
| 7
|
614.2106
|
646.15385
|
600.000
|
Ε
|
| 8
|
701.955
|
738.4615
|
685.7143
|
Ϛ/Ϝ
|
| 9
|
801.564
|
784.9625
|
830.7692
|
771.4286
|
Ϛ#/Ϝ#
|
| 10
|
901.173
|
867.97
|
923.0769
|
857.1429
|
Ζ
|
| 11
|
1000.782
|
950.9775
|
1015.3846
|
942.8571
|
Η
|
| 12
|
1101.391
|
1033.985
|
1107.6923
|
1028.5714
|
Η#
|
| 13
|
1200
|
1116.9925
|
1200
|
1114.2857
|
Θ
|
| 14
|
1299.609
|
1200
|
1267.97
|
1200
|
Θ#
|
| 15
|
1398.218
|
1283.0075
|
1333.94
|
1301.955
|
I (J)
|
| 16
|
1497.827
|
1366.015
|
1403.91
|
A
|
 |
Todo: clarify, unify precision |
