39/32: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = lesser tridecimal neutral third, octave-reduced 39th harmonic | |||
| Color name = 3o3, tho 3rd | |||
| Name = octave-reduced 39th harmonic | |||
| | |||
| Sound = Ji-39-32-csound-foscil-220hz.mp3 | | Sound = Ji-39-32-csound-foscil-220hz.mp3 | ||
}} | }} | ||
'''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¢. | In [[13-limit]] [[just intonation]], '''39/32''', the '''(lesser) tridecimal neutral third''', is the otonal combination of primes 13 and 3 [[octave-reduced]]. It is the fifth complement of [[16/13]], which measures about 359.5¢. | ||
39/32 differs from the Pythagorean minor third [[32/27]] by [[1053/1024]], about 48¢, from the classic minor third [[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. | ||
39/32 is near the border-region between neutral thirds and supraminor thirds, so it has a dark edge to it compared to wider neutral thirds, while still sounding slightly brighter than a minor third like [[6/5]]. | |||
== See also == | == See also == | ||
* [[64/39]] | * [[64/39]] – its [[octave complement]] | ||
* [[16/13]] | * [[16/13]] – its [[fifth complement]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Third]] | [[Category:Third]] | ||
[[Category:Neutral third]] | [[Category:Neutral third]] | ||
Latest revision as of 23:44, 8 March 2023
| Interval information |
octave-reduced 39th harmonic
reduced harmonic
[sound info]
In 13-limit just intonation, 39/32, the (lesser) tridecimal neutral third, is the otonal combination of primes 13 and 3 octave-reduced. It is the fifth complement of 16/13, which measures about 359.5¢.
39/32 differs from the Pythagorean minor third 32/27 by 1053/1024, about 48¢, from the classic minor third 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.
39/32 is near the border-region between neutral thirds and supraminor thirds, so it has a dark edge to it compared to wider neutral thirds, while still sounding slightly brighter than a minor third like 6/5.