512/507: Difference between revisions

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'''512/507''', the '''tridecimal neutral thirds comma''', is a [[13-limit]] (also 2.3.13 subgroup) comma with a value of roughly 17.0 [[cent]]s. It is significant in [[just intonation]] as the amount by which the tridecimal neutral third, [[16/13]], differs from its [[fifth complement]], [[39/32]], as well as the amount by which a stack of two [[1053/1024]] quartertones fall short of the [[apotome]].  
'''512/507''', the '''tridecimal neutral thirds comma''', is a [[13-limit]] (also [[2.3.13 subgroup|2.3.13-subgroup]]) [[comma]] with a value of roughly 17.0 [[cent]]s. It is significant in [[just intonation]] as the amount by which the tridecimal neutral third, [[16/13]], differs from its [[fifth complement]], [[39/32]], as well as the amount by which a stack of two [[1053/1024]] quartertones fall short of the [[apotome]].  


Tempering out this interval equates both tridecimal neutral thirds to the true neutral third [[sqrt(3/2)]], and can be called '''harmoneutral''' temperament, as it tempers the harmonic neutral third together with its fifth complement.  
== Temperaments ==
[[Tempering out]] this comma equates both tridecimal neutral thirds to the true neutral third [[sqrt(3/2)]], and is proposed to be called '''harmoneutral''' temperament by [[User:VectorGraphics|Vector]] in 2025, as it tempers the harmonic neutral third together with its fifth complement.  


== See also ==
== See also ==