39/32: Difference between revisions

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{{Infobox Interval

~~| Ratio = 39/32~~

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

~~| Monzo = -5 1 0 0 0 1~~

| Color name = 3o3, tho 3rd

~~| Cents = 342.48266~~

| Name = lesser tridecimal neutral third, ~~<br>~~ octave-reduced 39th harmonic

| ~~FJS~~ name = ~~m3<sup>13</sup>~~

| 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¢.

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 ==

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* [[Gallery of just intervals]]

~~[[Category:13-limit]]~~

[[Category:Third]]

[[Category:Neutral third]]

~~[[Category:Octave-reduced harmonics]]~~

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 {{Infobox Interval
-| Ratio = 39/32
+| Name = lesser tridecimal neutral third, octave-reduced 39th harmonic
-| Monzo = -5 1 0 0 0 1
+| Color name = 3o3, tho 3rd
-| Cents = 342.48266
-| Name = lesser tridecimal neutral third, <br> octave-reduced 39th harmonic
-| FJS name = m3<sup>13</sup>
 | 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¢.
 /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]].
 == See also ==
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 * [[Gallery of just intervals]]
-[[Category:13-limit]]
 [[Category:Third]]
 [[Category:Neutral third]]
-[[Category:Octave-reduced harmonics]]