Mercurial comma

Revision as of 14:05, 25 September 2020 by Xenwolf (talk | contribs) (Xenwolf moved page 557122275/556583994 to 557122275/556583944)

557122275/556583994, or 1.673649 cents, 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 in 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.

Interval information
Ratio 61902475/61842666
Subgroup monzo 2.3.5.19.1373.7507 [-1 -1 2 5 -1 -1
Size in cents 1.673494¢
Name(s) missing ? 
FJS name [math]\displaystyle{ \text{m2}^{5,5,19,19,19,19,19}_{1373,7507} }[/math]
Special properties reduced
Tenney norm (log2 nd) 51.7656
Weil norm (log2 max(n, d)) 51.767
Wilson norm (sopfr(nd)) 8990
Open this interval in xen-calc