19-limit: Difference between revisions

+a note on the categorization of 19-limit intervals
m Improvement on the section I just added
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== Terminology and notation ==
== Terminology and notation ==
19/16 is most commonly considered a minor third, as 1-19/16-3/2 is an important {{w|tertian}} chord. The [[Functional Just System]] and [[Helmholtz-Ellis notation]] agree. However, 19/16 may act as an augmented second in certain cases. This is more complex on its own but may simplify certain combinations with other intervals, especially if [[17/16]] is considered augmented unison and/or if [[23/16]] is considered an augmented fourth. Perhaps most interestingly, [[Sagittal notation]] provides an accidental to enharmonically spell intervals of [[harmonic class|HC19]] this way.  
Intervals of [[harmonic class|HC19]] are relatively clear in terms of their categories. [[19/16]] is most commonly considered a minor third, as 1-19/16-3/2 is an important {{w|tertian}} chord. The [[Functional Just System]] and [[Helmholtz-Ellis notation]] agree. However, 19/16 may act as an augmented second in certain cases. This is more complex on its own but may simplify certain combinations with other intervals, especially if [[17/16]] is considered an augmented unison and/or if [[23/16]] is considered an augmented fourth. Perhaps most interestingly, [[Sagittal notation]] provides an accidental to enharmonically spell intervals of HC19 this way.  


== Edo approximations ==
== Edo approximations ==