28/27: Difference between revisions

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== Terminology ==

28/27 is traditionally called the '''small septimal chroma''', perhaps for its proximity (and conflation in systems like [[septimal meantone]]) with the classic chroma, [[25/24]]. However, it is a ''[[diatonic semitone]]'' in just intonation notation systems such as [[Sagittal notation]], [[Helmholtz–Ellis notation]], and the [[Functional Just System]], viewed as the [[256/243|Pythagorean limma (256/243)]] altered by the [[64/63|septimal comma (64/63)]]. Hence, it may be described as the '''septimal minor second''' or '''septimal subminor second''' if treated as an interval in its own right. This is analogous to the septimal major second [[8/7]], which has the same relationship with [[9/8]], and such classification suggests the function of a strong leading tone added to the traditional harmony.

~~On the other side of things, it may be called the '''trienstonic comma''' if treated as a [[comma]] to be tempered out.~~

== Temperaments ==

~~Tempering out~~ 28/27 leads to the [[trienstonic clan]] of temperaments.

On the other hand, 28/27 may be called the '''trienstonic comma''' if it is treated as a [[comma]] to be tempered out, which leads to the [[trienstonic clan]] of temperaments.

== Sagittal notation ==

@@ Line 13: / Line 13: @@
 == Terminology ==
 /27 is traditionally called the '''small septimal chroma''', perhaps for its proximity (and conflation in systems like [[septimal meantone]]) with the classic chroma, [[25/24]]. However, it is a ''[[diatonic semitone]]'' in just intonation notation systems such as [[Sagittal notation]], [[Helmholtz&ndash;Ellis notation]], and the [[Functional Just System]], viewed as the [[256/243|Pythagorean limma (256/243)]] altered by the [[64/63|septimal comma (64/63)]]. Hence, it may be described as the '''septimal minor second''' or '''septimal subminor second''' if treated as an interval in its own right. This is analogous to the septimal major second [[8/7]], which has the same relationship with [[9/8]], and such classification suggests the function of a strong leading tone added to the traditional harmony.
-On the other side of things, it may be called the '''trienstonic comma''' if treated as a [[comma]] to be tempered out.
 == Temperaments ==
-Tempering out 28/27 leads to the [[trienstonic clan]] of temperaments.
+On the other hand, 28/27 may be called the '''trienstonic comma''' if it is treated as a [[comma]] to be tempered out, which leads to the [[trienstonic clan]] of temperaments.
 == Sagittal notation ==