28/27: Difference between revisions

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The [[superparticular]] interval '''28/27''' (also '''septimal chroma''' or '''septimal third-tone''') has the seventh triangular number as a numerator and is the difference between [[15/14]] and [[10/9]], [[9/8]] and [[7/6]], [[9/7]] and [[4/3]], [[3/2]] and [[14/9]], [[12/7]] and [[16/9]], and [[9/5]] and [[28/15]].

If treated as an interval in its own right, it may be described as the septimal ~~minor~~ second, since it differs from the Pythagorean minor second [[256/243]] by [[64/63]], and from [[16/15]] by [[36/35]]. This is analogous to the septimal major second [[8/7]], which has the same relationship with [[9/8]] and [[10/9]], respectively. Such classification suggests the function of a strong leading tone added to the traditional harmony.

If treated as an interval in its own right, it may be described as the septimal subminor second, since it differs from the Pythagorean minor second [[256/243]] by [[64/63]], and from [[16/15]] by [[36/35]]. This is analogous to the septimal major second [[8/7]], which has the same relationship with [[9/8]] and [[10/9]], respectively. Such classification suggests the function of a strong leading tone added to the traditional harmony.

== See also ==

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 The [[superparticular]] interval '''28/27''' (also '''septimal chroma''' or '''septimal third-tone''') has the seventh triangular number as a numerator and is the difference between [[15/14]] and [[10/9]], [[9/8]] and [[7/6]], [[9/7]] and [[4/3]], [[3/2]] and [[14/9]], [[12/7]] and [[16/9]], and [[9/5]] and [[28/15]].
-If treated as an interval in its own right, it may be described as the septimal minor second, since it differs from the Pythagorean minor second [[256/243]] by [[64/63]], and from [[16/15]] by [[36/35]]. This is analogous to the septimal major second [[8/7]], which has the same relationship with [[9/8]] and [[10/9]], respectively. Such classification suggests the function of a strong leading tone added to the traditional harmony.
+If treated as an interval in its own right, it may be described as the septimal subminor second, since it differs from the Pythagorean minor second [[256/243]] by [[64/63]], and from [[16/15]] by [[36/35]]. This is analogous to the septimal major second [[8/7]], which has the same relationship with [[9/8]] and [[10/9]], respectively. Such classification suggests the function of a strong leading tone added to the traditional harmony.
 == See also ==