16wtn

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