146edo: Difference between revisions

Line 1:

The '''146 edo''' divides the octave into 146 equal parts of 8.219178 [[cent]]s each. It has an accurate major third, only 0.012344 cents compressed from just [[5/4]] interval. 146edo is the denominator of a convergent to log<sub>2</sub>5, after [[3edo|3]], [[28edo|28]] and [[59edo|59]], and before [[643edo|643]]. However, it also provides the optimal patent val for the 11-limit [[Semicomma family|newspeak temperament]]. It tempers out the [[semicomma]], 2109375/2097152 and 129140163/125000000 in the 5-limit; 225/224, 1728/1715, and 100442349/97656250 in the 7-limit; 441/440, 1375/1372, 1944/1925, and 43923/43750 in the 11-limit; 1001/1000, 1188/1183, 1287/1280, and 1573/1568 in the 13-limit.

[[Category:~~Edo~~]]

[[Category:Equal divisions of the octave]]

Revision as of 08:34, 3 December 2018 view source Xenllium (talk \| contribs) autopatrolled, emailconfirmed 4,516 edits Created page with "The '''146 edo''' divides the octave into 146 equal parts of 8.219178 cents each. It has an accurate major third, only 0.012344 cents compressed from just 5/4 interval..." Tags: Mobile edit Mobile web edit		Revision as of 23:13, 4 December 2020 view source Keenan Pepper category edits (talk \| contribs) Bots 555 edits m Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot Newer edit →
Line 1:		Line 1:
	The '''146 edo''' divides the octave into 146 equal parts of 8.219178 [[cent]]s each. It has an accurate major third, only 0.012344 cents compressed from just [[5/4]] interval. 146edo is the denominator of a convergent to log<sub>2</sub>5, after [[3edo\|3]], [[28edo\|28]] and [[59edo\|59]], and before [[643edo\|643]]. However, it also provides the optimal patent val for the 11-limit [[Semicomma family\|newspeak temperament]]. It tempers out the [[semicomma]], 2109375/2097152 and 129140163/125000000 in the 5-limit; 225/224, 1728/1715, and 100442349/97656250 in the 7-limit; 441/440, 1375/1372, 1944/1925, and 43923/43750 in the 11-limit; 1001/1000, 1188/1183, 1287/1280, and 1573/1568 in the 13-limit.		The '''146 edo''' divides the octave into 146 equal parts of 8.219178 [[cent]]s each. It has an accurate major third, only 0.012344 cents compressed from just [[5/4]] interval. 146edo is the denominator of a convergent to log<sub>2</sub>5, after [[3edo\|3]], [[28edo\|28]] and [[59edo\|59]], and before [[643edo\|643]]. However, it also provides the optimal patent val for the 11-limit [[Semicomma family\|newspeak temperament]]. It tempers out the [[semicomma]], 2109375/2097152 and 129140163/125000000 in the 5-limit; 225/224, 1728/1715, and 100442349/97656250 in the 7-limit; 441/440, 1375/1372, 1944/1925, and 43923/43750 in the 11-limit; 1001/1000, 1188/1183, 1287/1280, and 1573/1568 in the 13-limit.

	[[Category:~~Edo~~]]		[[Category:Equal divisions of the octave]]