161edo: Difference between revisions

Wikispaces>FREEZE
No edit summary
Godtone (talk | contribs)
m added prime errors
Line 1: Line 1:
The ''161 equal division'' divides the octave into 161 equal parts of 7.453 cents each. It tempers out the Würschmidt comma, 393216/390625, in the 5-limit; 3136/3125, 6144/6125 and 2401/2400 in the 7-limit; 243/242, 441/440, 540/539 and 5632/5625 in the 11-limit; and 1188/1183, 351/350, 847/845, 1575/1573, 1001/1000 and 1716/1715 in the 13-limit. It serves as the optimal patent val for [[Breedsmic_temperaments#Mintone|mintone]] temperament in the 5-, 7-, 11- and 13-limits.
The ''161 equal division'' divides the octave into 161 equal parts of 7.453 cents each. It tempers out the Würschmidt comma, 393216/390625, in the 5-limit; 3136/3125, 6144/6125 and 2401/2400 in the 7-limit; 243/242, 441/440, 540/539 and 5632/5625 in the 11-limit; and 1188/1183, 351/350, 847/845, 1575/1573, 1001/1000 and 1716/1715 in the 13-limit. It serves as the optimal patent val for [[Breedsmic_temperaments#Mintone|mintone]] temperament in the 5-, 7-, 11- and 13-limits.
== Just approximation ==
This EDO is notable as being low in [[29-limit]] relative error in the 100 to 200 range.
{{Primes in edo|161|columns=10|prec=2}}