Mercurial comma: Difference between revisions

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As the ratio between these intervals is very close to phi, a diatonic scale consisting of a 19/17 as the tone and 15/14 as the semitone represents a strong harmonic entropy minimum adjacent to the [[golden meantone]] sequence. This is particularly well suited to stringed instruments that are normally tuned with slight octave stretches due to the inharmonicity of their partials. Hence, the mercurial comma is named after the chemical element mercury due to its adjacency to gold, since mercury meantone is adjacent to golden meantone.

It is worth noting that per principles of regular temperament theory, a temperament produced by the mercurial comma is a rank-7 19-limit temperament, which would naturally have the name mercurial.

It is worth noting that per principles of regular temperament theory, a temperament produced by the mercurial comma is a rank-7 19-limit temperament, which would naturally have the name mercurial. Alternately, there is a temperament produced in the 2.3.5.7.17.19 subgroup, which is a rank-5 temperament. This can be easily added to the commas of septimal meantone and [[256/255]] to produce a rank-2 temperament in the meantone family which supports the mercurial relation.

== Temperaments ==

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 As the ratio between these intervals is very close to phi, a diatonic scale consisting of a 19/17 as the tone and 15/14 as the semitone represents a strong harmonic entropy minimum adjacent to the [[golden meantone]] sequence. This is particularly well suited to stringed instruments that are normally tuned with slight octave stretches due to the inharmonicity of their partials. Hence, the mercurial comma is named after the chemical element mercury due to its adjacency to gold, since mercury meantone is adjacent to golden meantone.
-It is worth noting that per principles of regular temperament theory, a temperament produced by the mercurial comma is a rank-7 19-limit temperament, which would naturally have the name mercurial.
+It is worth noting that per principles of regular temperament theory, a temperament produced by the mercurial comma is a rank-7 19-limit temperament, which would naturally have the name mercurial. Alternately, there is a temperament produced in the 2.3.5.7.17.19 subgroup, which is a rank-5 temperament. This can be easily added to the commas of septimal meantone and [[256/255]] to produce a rank-2 temperament in the meantone family which supports the mercurial relation.
 == Temperaments ==