253edo: Difference between revisions

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'''253EDO''' is the [[EDO|equal division of the octave]] into 253 parts of 4.743083 [[cent]]s each.

=<span style="color: #590059; font-family: 'Times New Roman',Times,serif; font-size: 113%;">253 tone equal temperament</span>=

~~'''''253~~-~~EDO''''' or '''253-tET''' divides the octave into 253 equal steps of 4.743083 cents each. It approximates~~ the fifth by '''148\253'''~~, which is 701~~.~~976285~~ cents, ~~a mere '''0.004487 cents sharp'''. The primes~~ from 5 to 17 are all slightly flat. It tempers out 32805/32768 in the 5-limit; 2401/2400 in the 7-limit; 385/384, 1375/1372 and 4000/3993 in the 11-limit; 325/324, 1575/1573 and 2200/2197 in the 13-limit; 375/374 and 595/594 in the 17-limit. It provides a good tuning for higher-limit [[Schismatic_family|sesquiquartififths]] temperament.

253EDO is consistent to the 17-limit, approximating the fifth by '''148\253''' (0.021284 cents sharper than the just 3/2), and the prime harmonics from 5 to 17 are all slightly flat. It tempers out 32805/32768 in the 5-limit; 2401/2400 in the 7-limit; 385/384, 1375/1372 and 4000/3993 in the 11-limit; 325/324, 1575/1573 and 2200/2197 in the 13-limit; 375/374 and 595/594 in the 17-limit. It provides a good tuning for higher-limit [[Schismatic_family|sesquiquartififths]] temperament.

<u>'''253 tone equal modes:'''</u>

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'''PRIME FACTORIZATION:'''

253 = [[11edo|11]] * [[23edo|23]] [[Category:~~edo~~]]

253 = [[11edo|11]] * [[23edo|23]]

[[Category:Edo]]

[[Category:Theory]]

[[Category:modes]]

[[Category:nano]]

[[Category:sesquiquartififths]]

[[Category:superpythagorean]]

~~[[Category:theory]]~~

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+'''253EDO''' is the [[EDO|equal division of the octave]] into 253 parts of 4.743083 [[cent]]s each.
 =<span style="color: #590059; font-family: 'Times New Roman',Times,serif; font-size: 113%;">253 tone equal temperament</span>=
-'''''253-EDO''''' or '''253-tET''' divides the octave into 253 equal steps of 4.743083 cents each. It approximates the fifth by '''148\253''', which is 701.976285 cents, a mere '''0.004487 cents sharp'''. The primes from 5 to 17 are all slightly flat. It tempers out 32805/32768 in the 5-limit; 2401/2400 in the 7-limit; 385/384, 1375/1372 and 4000/3993 in the 11-limit; 325/324, 1575/1573 and 2200/2197 in the 13-limit; 375/374 and 595/594 in the 17-limit. It provides a good tuning for higher-limit [[Schismatic_family|sesquiquartififths]] temperament.
+EDO is consistent to the 17-limit, approximating the fifth by '''148\253''' (0.021284 cents sharper than the just 3/2), and the prime harmonics from 5 to 17 are all slightly flat. It tempers out 32805/32768 in the 5-limit; 2401/2400 in the 7-limit; 385/384, 1375/1372 and 4000/3993 in the 11-limit; 325/324, 1575/1573 and 2200/2197 in the 13-limit; 375/374 and 595/594 in the 17-limit. It provides a good tuning for higher-limit [[Schismatic_family|sesquiquartififths]] temperament.
 <u>'''253 tone equal modes:'''</u>
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 '''PRIME FACTORIZATION:'''
-= [[11edo|11]] * [[23edo|23]]      [[Category:edo]]
+= [[11edo|11]] * [[23edo|23]]
+[[Category:Edo]]
+[[Category:Theory]]
 [[Category:modes]]
 [[Category:nano]]
 [[Category:sesquiquartififths]]
 [[Category:superpythagorean]]
-[[Category:theory]]