Mercurial comma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 557122275/556583944 | | Ratio = 557122275/556583944 | ||
| Monzo = -3 2 2 -2 0 0 -5 5 | | Monzo = -3 2 2 -2 0 0 -5 5 | ||
| Cents = 1.673649 | | Cents = 1.673649 | ||
| Name = | | Name = mercurial comma | ||
| Color name = | | Color name = | ||
| FJS name = | |||
| Sound = | | Sound = | ||
}} | }} | ||
'''557122275/556583944''', or the '''mercurial comma''', has a value of 1.673649 [[cent | '''557122275/556583944''', or the '''mercurial comma''', has a value of 1.673649 [[cent]]s, and is the amount by which five justly tuned [[19/17]]s and two [[15/14]]s 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. | ||
[[Category:19-limit]] | [[Category:19-limit]] | ||
[[Category: | [[Category:Unnoticeable comma]] | ||
[[Category:Meantone]] | [[Category:Meantone]] | ||
[[Category:Mercurial]] | [[Category:Mercurial]] | ||
Revision as of 05:26, 22 January 2022
| Interval information |
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.