248edo: Difference between revisions

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~~The~~ ''~~248 equal division~~'' divides the octave into 248 equal parts of 4.8387 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.

'''248edo''' divides the octave into 248 equal parts of 4.8387 cents each.

248et tempers out [[32805/32768]] in the 5-limit; [[3136/3125]] and [[420175/419904]] in the 7-limit; [[441/440]], [[8019/8000]] in the 11-limit; [[729/728]], [[847/845]], [[1001/1000]], [[1575/1573]] and [[2200/2197]] in the 13-limit. It also notably tempers out the [[quartisma]].

It supports [[Schismatic family #Bischismic|bischismic temperament]], providing the [[optimal patent val]] for 11-limit bischismic, and excellent tunings in the 7- and 13-limits. It also provides the optimal patent val for [[Varunismic temperaments #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:Equal divisions of the octave]]

[[Category:Bischismic]]

[[Category:Essence]]

[[Category:Quartismic]]

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-The ''248 equal division'' divides the octave into 248 equal parts of 4.8387 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.
+'''248edo''' divides the octave into 248 equal parts of 4.8387 cents each.
+et tempers out [[32805/32768]] in the 5-limit; [[3136/3125]] and [[420175/419904]] in the 7-limit; [[441/440]], [[8019/8000]] in the 11-limit; [[729/728]], [[847/845]], [[1001/1000]], [[1575/1573]] and [[2200/2197]] in the 13-limit. It also notably tempers out the [[quartisma]].
+It supports [[Schismatic family #Bischismic|bischismic temperament]], providing the [[optimal patent val]] for 11-limit bischismic, and excellent tunings in the 7- and 13-limits. It also provides the optimal patent val for [[Varunismic temperaments #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:Equal divisions of the octave]]
+[[Category:Bischismic]]
+[[Category:Essence]]
 [[Category:Quartismic]]