162edo: Difference between revisions
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The [[Patent_val|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_family|diaschismic]]. In the 11-limit <162 257 377 455 561| tempers out 126/125, 176/175 and 896/891, and so [[support]]s 11-limit diaschismic, and in fact has a fifth only 0.01 cents flatter than the [[POTE_tuning|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. | The [[Patent_val|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_family|diaschismic]]. In the 11-limit <162 257 377 455 561| tempers out 126/125, 176/175 and 896/891, and so [[support]]s 11-limit diaschismic, and in fact has a fifth only 0.01 cents flatter than the [[POTE_tuning|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. | ||
{{Harmonics in equal|162}} | |||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||