15/14: Difference between revisions

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* [[7/4]] and [[15/8]]

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]].

== See also ==

* [[28/15]] – its [[octave complement]]

* [[28/15]] its [[octave complement]]

* [[7/5]] – its [[fifth complement]]

* [[List of superparticular intervals]]

* [[Gallery of Just Intervals]]

* [[Wikipedia:Septimal_diatonic_semitone|Septimal diatonic semitone - Wikipedia]]

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[[Category:7-limit]]

[[Category:Interval ratio]]

~~[[Category:Second]]~~

[[Category:Semitone]]

[[Category:Chroma]]

[[Category:Superparticular]]

[[Category:Listen]]

@@ Line 26: / Line 26: @@
 * [[7/4]] and [[15/8]]
-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]].
 == See also ==
+* [[28/15]] – its [[octave complement]]
-* [[28/15]] its [[octave complement]]
+* [[7/5]] – its [[fifth complement]]
+* [[List of superparticular intervals]]
 * [[Gallery of Just Intervals]]
 * [[Wikipedia:Septimal_diatonic_semitone|Septimal diatonic semitone - Wikipedia]]
@@ Line 38: / Line 39: @@
 [[Category:7-limit]]
 [[Category:Interval ratio]]
-[[Category:Second]]
 [[Category:Semitone]]
+[[Category:Chroma]]
 [[Category:Superparticular]]
 [[Category:Listen]]