Mercurial comma

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Interval information
Ratio 557122275/556583944
Monzo [-3 2 2 -2 0 0 -5 5
Size in cents 1.673649
Name(s) mercurial comma
open this interval in xen-calc

557122275/556583944, or the mercurial comma, has a value of 1.673649 cents, and is the amount by which five justly tuned 19/17s and two 15/14s exceed 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 sequence, particularly well suited to stringed instruments that are normally tuned with slight octave stretches due to the inharmonicity of their partials.