248edo: Difference between revisions
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The ''248 equal division'' divides the octave into 248 equal parts of 4.389 cents each. It tempers out [[32805/32768]] in the 5-limit; 3136/3125 and 420175/419904 in the 7-limit; 441/440, 8019/8000, and [[Quartisma|117440512/117406179]] in the 11-limit; 729/728, 847/845, 1001/1000, 1575/1573 and 2200/2197 in the 13-limit. It supports [[Schismatic_family#Bischismic|bischismic temperament]], providing the [[Optimal_patent_val|optimal patent val]] for 11-limit bischismic, and excellent tunings in the 7 and 13-limits. It also provides the optimal patent val for [[Quince_clan#Essence|essence temperament]]. It is notable for its combination of precise intonation with an abundance of essentially tempered chords. 248 has divisors 2, 4, 8, 31, 62, and 124. | The ''248 equal division'' divides the octave into 248 equal parts of 4.389 cents each. It tempers out [[32805/32768]] in the 5-limit; 3136/3125 and 420175/419904 in the 7-limit; 441/440, 8019/8000, and [[Quartisma|117440512/117406179]] in the 11-limit; 729/728, 847/845, 1001/1000, 1575/1573 and 2200/2197 in the 13-limit. It supports [[Schismatic_family#Bischismic|bischismic temperament]], providing the [[Optimal_patent_val|optimal patent val]] for 11-limit bischismic, and excellent tunings in the 7 and 13-limits. It also provides the optimal patent val for [[Quince_clan#Essence|essence temperament]]. It is notable for its combination of precise intonation with an abundance of essentially tempered chords. 248 has divisors 2, 4, 8, 31, 62, and 124. | ||
[[Category: | [[Category:Equal divisions of the octave]] | ||
[[Category:Quartismic]] | [[Category:Quartismic]] | ||