Diarithmedia: Difference between revisions

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-'''25921/25920''', the '''diarithmedia''', is a [[23-limit]] and 2.3.5.7.23-[[subgroup]] [[square superparticular]] square-particular ratio of about 0.067 [[cent]]s. It is the difference between [[161/160]] and [[162/161]], and between [[49/45]] and [[24/23]]<sup>2</sup>, and therefore tempering this comma out splits the syntonic comma, [[81/80]] into exact halves alongside 49/45. As a further consequence, it equates [[161/144]], the "arithmetic meantone" (being the arithmetic mean of [[9/8]] and [[10/9]]) with [[180/161]] and splits [[5/4]] in half, providing a way to use hemithirds without equating 9/8 and 10/9 together.
+'''25921/25920''', the '''diarithmedia''', is a [[23-limit]] and 2.3.5.7.23-[[subgroup]] [[square superparticular]] comma of about 0.067 [[cent]]s. It is the difference between [[161/160]] and [[162/161]], and between [[49/45]] and [[24/23]]<sup>2</sup>, and therefore tempering this comma out splits the syntonic comma, [[81/80]] into exact halves alongside 49/45. As a further consequence, it equates [[161/144]], the "arithmetic meantone" (being the arithmetic mean of [[9/8]] and [[10/9]]) with [[180/161]] and splits [[5/4]] in half, providing a way to use hemithirds without equating 9/8 and 10/9 together.
 == Etymology ==