21/20: Difference between revisions

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== Terminology ==

21/20 is traditionally called a ''chroma'', perhaps for its proximity (and conflation in systems like septimal [[meantone]]) with the major chroma [[135/128]]. However, it is a ''diatonic semitone'' in both [[~~Helmholtz-Ellis~~ notation]] and [[Functional Just System]], viewed as the Pythagorean minor second [[256/243]] altered by [[5120/5103]]. [[Marc Sabat]] has taken to call it the ''minor diatonic semitone'' in the same material where [[15/14]] is also named as the major chromatic semitone<ref>[https://~~marsbat~~.~~space~~/pdfs/crystal-growth.pdf ~~Marc Sabat (2008)~~ Three Crystal Growth Algorithms in 23-limit constrained Harmonic Space]</ref>.

21/20 is traditionally called a ''chroma'', perhaps for its proximity (and conflation in systems like septimal [[meantone]]) with the major chroma [[135/128]]. However, it is a ''diatonic semitone'' in both [[Helmholtz–Ellis notation]] and [[Functional Just System]], viewed as the Pythagorean minor second [[256/243]] altered by [[5120/5103]]. [[Marc Sabat]] has taken to call it the ''minor diatonic semitone'' in the same material where [[15/14]] is also named as the major chromatic semitone<ref>Marc Sabat. [https://masa.plainsound.org/pdfs/crystal-growth.pdf ''Three Crystal Growth Algorithms in 23-limit constrained Harmonic Space'']. Plainsound Music Edition, 2008.</ref>.

~~<references/>~~

== See also ==

* [[40/21]] – its [[octave complement]]

* [[10/7]] – its [[fifth complement]]

* [[1ed21/20]] - its ~~equal multiplication~~

* [[1ed21/20]] – its [[ambitonal sequence]]

* [[List of superparticular intervals]]

* [[Gallery of just intervals]]

* [[Septisemi temperaments]], where it is tempered out

== References ==

[[Category:Second]]

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 == Terminology ==
-/20 is traditionally called a ''chroma'', perhaps for its proximity (and conflation in systems like septimal [[meantone]]) with the major chroma [[135/128]]. However, it is a ''diatonic semitone'' in both [[Helmholtz-Ellis notation]] and [[Functional Just System]], viewed as the Pythagorean minor second [[256/243]] altered by [[5120/5103]]. [[Marc Sabat]] has taken to call it the ''minor diatonic semitone'' in the same material where [[15/14]] is also named as the major chromatic semitone<ref>[https://marsbat.space/pdfs/crystal-growth.pdf Marc Sabat (2008) Three Crystal Growth Algorithms in 23-limit constrained Harmonic Space]</ref>.
+/20 is traditionally called a ''chroma'', perhaps for its proximity (and conflation in systems like septimal [[meantone]]) with the major chroma [[135/128]]. However, it is a ''diatonic semitone'' in both [[Helmholtz–Ellis notation]] and [[Functional Just System]], viewed as the Pythagorean minor second [[256/243]] altered by [[5120/5103]]. [[Marc Sabat]] has taken to call it the ''minor diatonic semitone'' in the same material where [[15/14]] is also named as the major chromatic semitone<ref>Marc Sabat. [https://masa.plainsound.org/pdfs/crystal-growth.pdf ''Three Crystal Growth Algorithms in 23-limit constrained Harmonic Space'']. Plainsound Music Edition, 2008.</ref>.
-<references/>
 == See also ==
 * [[40/21]] – its [[octave complement]]
 * [[10/7]] – its [[fifth complement]]
-* [[1ed21/20]] - its equal multiplication
+* [[1ed21/20]] – its [[ambitonal sequence]]
 * [[List of superparticular intervals]]
 * [[Gallery of just intervals]]
 * [[Septisemi temperaments]], where it is tempered out
+== References ==
+<references/>
 [[Category:Second]]