212edo: Difference between revisions

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~~The~~ '''212 equal temperament''' divides the octave into 212 equal parts of 5.660 cents each. 212 = 4 × 53, and it tempers out the same commas ([[32805/32768]], [[15625/15552]] and [[1600000/1594323]]) as 53 in the [[5-limit]]. In the [[7-limit]] it tempers out [[2401/2400]]; in the [[11-limit]] [[385/384]] and 1375/1372; and in the [[13-limit|13-limit]] [[325/324]], 625/624, 676/675 and 1001/1000. It is the [[optimal patent val]] for 7 and 13 limit [[Kleismic family #Quadritikleismic|quadritikleismic temperament]], and the 13-limit rank three [[Breed family #Agni|agni temperament]]. Also, using 212bb val (where fifth is flattened by single step, approximately 1/4 comma) gives a tuning almost identical to the POTE tuning for 5-limit meantone.

'''212 equal temperament''' divides the octave into 212 equal parts of 5.660 cents each. 212 = 4 × 53, and it tempers out the same commas ([[32805/32768]], [[15625/15552]] and [[1600000/1594323]]) as 53 in the [[5-limit]]. In the [[7-limit]] it tempers out [[2401/2400]]; in the [[11-limit]] [[385/384]] and 1375/1372; and in the [[13-limit|13-limit]] [[325/324]], 625/624, 676/675 and 1001/1000. It is the [[optimal patent val]] for 7 and 13 limit [[Kleismic family #Quadritikleismic|quadritikleismic temperament]], and the 13-limit rank three [[Breed family #Agni|agni temperament]]. Also, using 212bb val (where fifth is flattened by single step, approximately 1/4 comma) gives a tuning almost identical to the POTE tuning for 5-limit meantone.

[[Category:Edo]]

Revision as of 07:03, 13 October 2020 view source FloraC (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 18,308 edits m Cleanup ← Older edit		Revision as of 07:23, 13 October 2020 view source Inthar (talk \| contribs) autopatrolled 15,004 edits m cleanup (grammar), "X temperament" doesn't take "the" Tags: Mobile edit Mobile web edit Newer edit →
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	~~The~~ '''212 equal temperament''' divides the octave into 212 equal parts of 5.660 cents each. 212 = 4 × 53, and it tempers out the same commas ([[32805/32768]], [[15625/15552]] and [[1600000/1594323]]) as 53 in the [[5-limit]]. In the [[7-limit]] it tempers out [[2401/2400]]; in the [[11-limit]] [[385/384]] and 1375/1372; and in the [[13-limit\|13-limit]] [[325/324]], 625/624, 676/675 and 1001/1000. It is the [[optimal patent val]] for 7 and 13 limit [[Kleismic family #Quadritikleismic\|quadritikleismic temperament]], and the 13-limit rank three [[Breed family #Agni\|agni temperament]]. Also, using 212bb val (where fifth is flattened by single step, approximately 1/4 comma) gives a tuning almost identical to the POTE tuning for 5-limit meantone.		'''212 equal temperament''' divides the octave into 212 equal parts of 5.660 cents each. 212 = 4 × 53, and it tempers out the same commas ([[32805/32768]], [[15625/15552]] and [[1600000/1594323]]) as 53 in the [[5-limit]]. In the [[7-limit]] it tempers out [[2401/2400]]; in the [[11-limit]] [[385/384]] and 1375/1372; and in the [[13-limit\|13-limit]] [[325/324]], 625/624, 676/675 and 1001/1000. It is the [[optimal patent val]] for 7 and 13 limit [[Kleismic family #Quadritikleismic\|quadritikleismic temperament]], and the 13-limit rank three [[Breed family #Agni\|agni temperament]]. Also, using 212bb val (where fifth is flattened by single step, approximately 1/4 comma) gives a tuning almost identical to the POTE tuning for 5-limit meantone.

	[[Category:Edo]]		[[Category:Edo]]