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.

[[Category:Equal divisions of the octave|###]]

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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.

			[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->