User:Moremajorthanmajor/16wtn

From Xenharmonic Wiki
Jump to navigation Jump to search

16WTN is 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.

Optimal 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 Minimum a Target Maximum a Target Minimum b Target Maximum b Annapolis[6L 4s]
1 87.7444 Α#
2 175.48875 Β
3 263.2331 Γ
4 350.9775 Γ#
5 438.7219 Δ
6 526.46625 Δ#
7 614.2106 Ε
8 701.955 Ϛ/Ϝ
9 801.564 784.9625 Ϛ#/Ϝ#
10 901.173 867.97 Ζ
11 1000.782 950.9775 Η
12 1101.391 1033.985 Η#
13 1200 1116.9925 Θ
14 1275 1300 1200 Θ#
15 1350 1400 1275 1300 I (J)
16 1425 1500 1350 1400 A