28wtn

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A 28 tone well tempered nonet (28WTN) is related to well temperaments of 24edo, but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate division of the just perfect fifth into 14 equal parts (14EDF) with sequences of fourteen equal steps of 42.8571 to 57.1429 cents each. This will create fourteen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.

Patent Intervals

Target Alternating edo and *ed(9/8)
1 50.1396 50
2 100.2793 100
3 150.4189 150
4 200.5586 200
5 250.6982 250
6 300.8379 300
7 350.9775 350
8 401.1171 400
9 451.2568 450
10 501.3964 500
11 551.536 550
12 601.6757 600
13 651.8154 650
14 701.955 700
15 751.7595 750
16 801.564 800
17 851.3685 850
18 901.173 900
19 950.9775 950
20 1000.782 1000
21 1050.6865 1050
22 1100.391 1100
23 1150.1955 1150
24 1200 1200.000
25 1249.8045 1250.9775
26 1299.609 1301.955
27 1349.4135 1352.9325
28 1399.218 1403.91
Icon-Todo.png Todo: clarify, unify precision
"Target a" and "Target b" are not self-explanatory, how are the values calculated?