User:Moremajorthanmajor/30wtn

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A 30 tone well tempered nonet (30WTN) is related to well temperaments of 25edo and 26edo, but with a nonet rather than the 2/1 being constant. It alternates division of the just perfect fifth into 15 equal parts (15EDF) with sequences of ten equal steps of 40 to 53.333 cents each. This will create fifteen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.

Optimal Intervals

Minimum a Maximum a Minimum b Maximum b
1 46.797
2 93.594
3 140.391
4 187.188
5 233.985
6 280.782
7 327.579
8 374.376
9 421.173
10 467.97
11 514.767
12 561.564
13 608.361
14 655.158
15 701.955
16 749.955 753.384 745.591 748.698
17 797.955 804.812 789.228 795.4615
18 845.955 856.241 832.864 841.215
19 893.955 907.669 876.5005 888.967
20 941.955 959.098 920.137 935.721
21 989.955 1010.526 963.773 982.4745
22 1037.955 1061.955 1007.4095 1029.228
23 1085.955 1113.384 1051.046 1075.981
24 1133.995 1164.812 1094.682 1122.734
25 1181.955 1216.241 1138.319 1169.4875
26 1229.995 1267.669 1181.955 1216.241
27 1277.995 1319.098 1225.591 1262.993
28 1325.995 1370.526 1269.228 1309.747
29 1373.995 1421.955 1312.864 1356.5005
30 1421.955 1473.384 1356.5005 1403.254