15/14: Difference between revisions
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Although called ''septimal diatonic semitone'' for its proximity (and conflation in systems such as septimal [[meantone]]) with the classic diatonic semitone [[16/15]], 15/14 is a ''[[Wikipedia:chromatic semitone|chromatic semitone]]'' in both [[Helmholtz-Ellis notation]] and [[Functional Just System]] because it is [[5120/5103]] larger than the apotome [[2187/2048]]. | Although called ''septimal diatonic semitone'' for its proximity (and conflation in systems such as septimal [[meantone]]) with the classic diatonic semitone [[16/15]], 15/14 is a ''[[Wikipedia:chromatic semitone|chromatic semitone]]'' in both [[Helmholtz-Ellis notation]] and [[Functional Just System]] because it is [[5120/5103]] larger than the apotome [[2187/2048]]. | ||
In combination with [[19/17]] it forms a good approximation of [[golden meantone]]. | In combination with [[19/17]] it forms a good approximation of [[golden meantone]]. The untempered combination of five 19/17 and two 15/14 leads to an interval that is sharp to an octave by the [[mercurial comma]]: <code>((19/17)^5 * (15/14)^2 = (2/1) / (mercurial comma))</code> | ||
== See also == | == See also == | ||
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[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category:Listen]] | [[Category:Listen]] | ||
[[Category:Mercurial]] | |||