Mercurial comma: Difference between revisions

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557122275/556583944, or 1.673649 cents, the mercurial comma, is the amount by which five justly tuned [[19/17]]'s and two [[15/14]]'s exceeds an octave. As the ratio between these intervals is very close to phi, this is a strong harmonic entropy minimum adjacent to the [[Golden_meantone|golden meantone]] sequence, particularly well suited to stringed instruments that are normally tuned with slight octave stretches due to the inharmonicity of their partials.
'''557122275/556583944''', or the '''mercurial comma''', has a value of 1.673649 [[cent|cents]], and is the amount by which five justly tuned [[19/17]]'s and two [[15/14]]'s exceeds an octave. As the ratio between these intervals is very close to phi, this is a strong harmonic entropy minimum adjacent to the [[Golden_meantone|golden meantone]] sequence, particularly well suited to stringed instruments that are normally tuned with slight octave stretches due to the inharmonicity of their partials.


[[Category:19-limit]]
[[Category:19-limit]]