Satanic comma: Difference between revisions

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It is tempered out in [[665edo]] and its multiples ([[1330edo]], etc.), with 665edo itself being an 11-strong 3-2 [[telicity|telic]] system due to tempering this comma out.
It is tempered out in [[665edo]] and its multiples ([[1330edo]], etc.), with 665edo itself being an 11-strong 3-2 [[telicity|telic]] system due to tempering this comma out.
== Etymology ==
This comma was named by [[Marc Jones]] in 1990<ref>[http://www.tonalsoft.com/enc/j/marc-jones-defs.aspx Tonalsoft Encyclopedia | ''tuning terms by Marc Jones'']</ref>.
== Notes ==
[[Category:Satanic]]

Revision as of 09:23, 11 August 2023

Interval information
Factorization 2-1054 × 3665
Monzo [-1054 665
Size in cents 0.07557548¢
Name satanic comma
FJS name [math]\displaystyle{ \text{95d}{-64} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 2108
Weil norm (log2 max(n, d)) 2108
Wilson norm (sopfr(nd)) 4103
Comma size unnoticeable
Open this interval in xen-calc

The satanic comma (monzo: [-1054 665) is the difference between 666 perfect fifths (octave-reduced) and a single perfect fifth. Equivalently, it is the difference between 665 perfect fifths (octave-reduced) and the unison – but that would not be as devilishly intriguing. This difference is inaudible, at only 0.076 ¢.

It is tempered out in 665edo and its multiples (1330edo, etc.), with 665edo itself being an 11-strong 3-2 telic system due to tempering this comma out.

Etymology

This comma was named by Marc Jones in 1990[1].

Notes