571edo: Difference between revisions

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'''571edo''' is the [[EDO|equal division of the octave]] into 571 parts of 2.~~10158~~ [[cent]]s each. It [[tempering_out|tempers out]] the [[parakleisma]], 1224440064/1220703125 and the counterschisma, |-69 45 -1> in the [[5-limit]], as well as lafa comma, |77 -31 -12>; 2401/2400, 14348907/14336000, and 29360128/29296875 in the [[7-limit]]; 3025/3024, 5632/5625, 41503/41472, and 17537553/17500000 in the [[11-limit]]; 1001/1000, 1716/1715, 4096/4095, 17303/17280, and 107811/107653 in the [[13-limit]], supporting the 13-limit [[Breedsmic temperaments|quasiorwell temperament]]; 1089/1088, 1701/1700, 2431/2430, 2601/2600, 5832/5831 and 7744/7735 in the [[17-limit]]. The 7th harmonic is only 0.0007135 cents sharp in 571edo, as the denominator of a convergent to log<sub>2</sub>7, after [[109edo|109]] and before [[2393edo|2393]].

'''571edo''' is the [[EDO|equal division of the octave]] into 571 parts of 2.101576 [[cent]]s each. It [[tempering_out|tempers out]] the [[parakleisma]], 1224440064/1220703125 and the counterschisma, |-69 45 -1> in the [[5-limit]], as well as the lafa comma, |77 -31 -12>; 2401/2400, 14348907/14336000, and 29360128/29296875 in the [[7-limit]]; 3025/3024, 5632/5625, 41503/41472, and 17537553/17500000 in the [[11-limit]]; 1001/1000, 1716/1715, 4096/4095, 17303/17280, and 107811/107653 in the [[13-limit]], supporting the 13-limit [[Breedsmic temperaments|quasiorwell temperament]]; 1089/1088, 1701/1700, 2431/2430, 2601/2600, 5832/5831 and 7744/7735 in the [[17-limit]]. The 7th harmonic is only 0.0007135 cents sharp in 571edo, as the denominator of a convergent to log<sub>2</sub>7, after [[109edo|109]] and before [[2393edo|2393]].

571edo is the 105th [[prime EDO]].

Revision as of 03:26, 21 December 2018 view source Xenllium (talk \| contribs) autopatrolled, emailconfirmed 4,516 edits No edit summary Tags: Mobile edit Mobile web edit ← Older edit		Revision as of 03:29, 21 December 2018 view source Xenllium (talk \| contribs) autopatrolled, emailconfirmed 4,516 edits No edit summary Tags: Mobile edit Mobile web edit Newer edit →
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	'''571edo''' is the [[EDO\|equal division of the octave]] into 571 parts of 2.~~10158~~ [[cent]]s each. It [[tempering_out\|tempers out]] the [[parakleisma]], 1224440064/1220703125 and the counterschisma, \|-69 45 -1> in the [[5-limit]], as well as lafa comma, \|77 -31 -12>; 2401/2400, 14348907/14336000, and 29360128/29296875 in the [[7-limit]]; 3025/3024, 5632/5625, 41503/41472, and 17537553/17500000 in the [[11-limit]]; 1001/1000, 1716/1715, 4096/4095, 17303/17280, and 107811/107653 in the [[13-limit]], supporting the 13-limit [[Breedsmic temperaments\|quasiorwell temperament]]; 1089/1088, 1701/1700, 2431/2430, 2601/2600, 5832/5831 and 7744/7735 in the [[17-limit]]. The 7th harmonic is only 0.0007135 cents sharp in 571edo, as the denominator of a convergent to log<sub>2</sub>7, after [[109edo\|109]] and before [[2393edo\|2393]].		'''571edo''' is the [[EDO\|equal division of the octave]] into 571 parts of 2.101576 [[cent]]s each. It [[tempering_out\|tempers out]] the [[parakleisma]], 1224440064/1220703125 and the counterschisma, \|-69 45 -1> in the [[5-limit]], as well as the lafa comma, \|77 -31 -12>; 2401/2400, 14348907/14336000, and 29360128/29296875 in the [[7-limit]]; 3025/3024, 5632/5625, 41503/41472, and 17537553/17500000 in the [[11-limit]]; 1001/1000, 1716/1715, 4096/4095, 17303/17280, and 107811/107653 in the [[13-limit]], supporting the 13-limit [[Breedsmic temperaments\|quasiorwell temperament]]; 1089/1088, 1701/1700, 2431/2430, 2601/2600, 5832/5831 and 7744/7735 in the [[17-limit]]. The 7th harmonic is only 0.0007135 cents sharp in 571edo, as the denominator of a convergent to log<sub>2</sub>7, after [[109edo\|109]] and before [[2393edo\|2393]].

	571edo is the 105th [[prime EDO]].		571edo is the 105th [[prime EDO]].