33wtn
Jump to navigation
Jump to search
A 33 tone well tempered nonet (33WTN) is related to well temperaments of 28edo and 29edo, but with a nonet rather than the 2/1 being constant. It is also the largest wtn with a patent tuning related to a nonet smaller than 8\7edo (1365.5172¢) and the smallest wtn with a patent tuning that is a better well temperament of Pythagorean tuning than 14wtn.
Patent Intervals
Alternating edo and *ed(9/8) a | Alternating edo and *ed(9/8) b | |
---|---|---|
1 | 42.8571 | 41.3793 |
2 | 85.7129 | 82.7586 |
3 | 128.5714 | 124.1379 |
4 | 171.4286 | 165.5172 |
5 | 214.2857 | 206.89655 |
6 | 257.1429 | 248.2758 |
7· | 300.00 | 289.6552 |
8 | 342.8571 | 331.0345 |
9 | 385.7129 | 372.4137 |
10 | 428.5714 | 413.7931 |
11 | 471.4286 | 455.1724 |
12· | 514.2857 | 496.5517 |
13 | 557.1429 | 537.931 |
14 | 600.00 | 579.3103 |
15 | 642.8571 | 620.6897 |
16 | 685.7129 | 662.069 |
17· | 728.5714 | 703.4483 |
18 | 771.4286 | 744.8276 |
19 | 814.2857 | 786.2069 |
20 | 857.1429 | 827.5863 |
21 | 900.00 | 868.9655 |
22· | 942.8571 | 910.3448 |
23 | 985.7129 | 951.7242 |
24 | 1028.5714 | 993.10345 |
25 | 1071.4286 | 1034.4828 |
26 | 1114.2857 | 1075.8621 |
27 | 1157.1429 | 1117.2414 |
28 | 1200 | 1158.6207 |
29 | 1240.782 | 1200 |
30 | 1281.564 | 1250.9775 |
31 | 1322.346 | 1301.955 |
32 | 1363.128 | 1352.9325 |
33 | 1403.91 |