162edo: Difference between revisions
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162edo divides the octave into 162 parts of 7.407 cents each. In the 7-limit it tempers out 4000/3969, 10976/10935 and 65625/65536. | 162edo divides the octave into 162 parts of 7.407 cents each. In the 7-limit it tempers out 4000/3969, 10976/10935 and 65625/65536. | ||
Revision as of 19:10, 4 October 2022
| ← 161edo | 162edo | 163edo → |
162edo divides the octave into 162 parts of 7.407 cents each. In the 7-limit it tempers out 4000/3969, 10976/10935 and 65625/65536.
The non-patent val <162 257 377| and its extensions are of considerable interest, as this tempers out 2048/2025. In the 7-limit, <162 257 377 455| tempers out 126/125 and 2048/2025 both, giving a tuning for 7-limit diaschismic. In the 11-limit <162 257 377 455 561| tempers out 126/125, 176/175 and 896/891, and so supports 11-limit diaschismic, and in fact has a fifth only 0.01 cents flatter than the POTE tuning. The 13-limit is even closer: the 13-limit val <162 257 377 455 561 600| tempers out 126/125, 196/195, 364/363, 2048/2025 giving 13-limit diaschismic, and the 162 fifth of 95/162 octave is a mere 0.0000383 cents sharp of the 13-limit POTE tuning.