39/32: Difference between revisions

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'''39/32''' is the combination of primes 13 and 3 octave-reduced. It is the fifth complement of [[16/13]], which measures about 359.5¢. It differs from [[32/27]] by [[1053/1024]], about 48¢, from [[6/5]] by [[65/64]], about 27¢, from the rastmic neutral third [[27/22]] by [[144/143]], about 12¢, and from the undecimal neutral third [[11/9]] by [[352/351]], about 4.9¢.  
'''39/32''' is the otonal combination of primes 13 and 3 octave-reduced. It is the fifth complement of [[16/13]], which measures about 359.5¢. It differs from [[32/27]] by [[1053/1024]], about 48¢, from [[6/5]] by [[65/64]], about 27¢, from the rastmic neutral third [[27/22]] by [[144/143]], about 12¢, and from the undecimal neutral third [[11/9]] by [[352/351]], about 4.9¢.  


39/32 is a fraction of a cent away from the neutral third found in the 7''n'' family of edos.  
39/32 is a fraction of a cent away from the neutral third found in the 7''n'' family of edos.  

Revision as of 00:06, 8 September 2020

Interval information
Ratio 39/32
Factorization 2-5 × 3 × 13
Monzo [-5 1 0 0 0 1
Size in cents 342.4827¢
Name octave-reduced 39th harmonic
FJS name [math]\displaystyle{ \text{m3}^{13} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 10.2854
Weil height (log2 max(n, d)) 10.5708
Wilson height (sopfr(nd)) 26

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39/32 is the otonal combination of primes 13 and 3 octave-reduced. It is the fifth complement of 16/13, which measures about 359.5¢. It differs from 32/27 by 1053/1024, about 48¢, from 6/5 by 65/64, about 27¢, from the rastmic neutral third 27/22 by 144/143, about 12¢, and from the undecimal neutral third 11/9 by 352/351, about 4.9¢.

39/32 is a fraction of a cent away from the neutral third found in the 7n family of edos.

See also