39/32: Difference between revisions

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{{Infobox Interval

| Name = lesser tridecimal neutral third, octave-reduced 39th harmonic

| Color name = 3o3, tho 3rd

| Sound = Ji-39-32-csound-foscil-220hz.mp3

}}

In [[13-limit]] [[just intonation]], '''39/32''', the '''(lesser) tridecimal neutral third''', is the otonal combination of primes 13 and 3 [[~~Octave reduction||~~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¢.

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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]].

== Approximation ==

== See also ==

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Name = lesser tridecimal neutral third, octave-reduced 39th harmonic
+| Color name = 3o3, tho 3rd
 | Sound = Ji-39-32-csound-foscil-220hz.mp3
 }}
-In [[13-limit]] [[just intonation]], '''39/32''', the '''(lesser) tridecimal neutral third''', is the otonal combination of primes 13 and 3 [[Octave reduction||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¢.
 /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¢.
@@ Line 10: / Line 11: @@
 /32 is a fraction of a cent away from the neutral third found in the 7''n'' family of edos.
+/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]].
+== Approximation ==
+{{Interval edo approximation|39/32}}
 == See also ==