176/175: Difference between revisions

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Make valinor explicit
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176/175 factors neatly into two [[13-limit]] [[superparticular]] commas: ([[352/351]])([[351/350]]).  
176/175 factors neatly into two [[13-limit]] [[superparticular]] commas: ([[352/351]])([[351/350]]).  
== Temperaments ==
Tempering out this comma leads to the rank-4 '''valinorsmic temperament''' (→ [[Rank-4 temperament #Valinorsmic (176/175)]]), or in the 2.5.7.11 subgroup, the [[valinor]] temperament, enabling [[valinorsmic chords]]. See [[Valinorsmic clan]] for the clan of rank-3 temperaments where it is tempered out.


== Etymology ==
== Etymology ==
The name likely derives from "Valinor" (a location in J. R. R. Tolkien's Middle-earth), but what association Valinor has to this comma is unknown.
The name likely derives from "Valinor" (a location in J. R. R. Tolkien's Middle-earth), but what association Valinor has to this comma is unknown.
== Temperaments ==
Tempering out this comma leads to the rank-4 '''valinorsmic temperament''' (→ [[Rank-4 temperament #Valinorsmic (176/175)]]), and enables [[valinorsmic chords]]. See [[Valinorsmic clan]] for the clan of rank-3 temperaments where it is tempered out.


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