Satanic comma: Difference between revisions

Line 6:

The '''satanic comma''' ([[monzo]]: {{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{{cent}}.

It is also the difference between 13 Mercator's ~~commas~~ and 2 pythagorean ~~commas~~, or put ~~another way~~, the difference between ~~11 pythagorean commas~~ and ~~13 countercomp commas~~.

It is also the difference between 13 [[Mercator's comma]]<nowiki/>s and 2 [[pythagorean comma]]<nowiki/>s, or put simply, the difference between the [[359-comma]] and the [[306-comma]].

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. The next smallest 3-limit comma is the [[Archangelic comma|190537-comma]], which is orders of magnitude much smaller and complex.

@@ Line 6: / Line 6: @@
 The '''satanic comma''' ([[monzo]]: {{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{{cent}}.
-It is also the difference between 13 Mercator's commas and 2 pythagorean commas, or put another way, the difference between 11 pythagorean commas and 13 countercomp commas.
+It is also the difference between 13 [[Mercator's comma]]<nowiki/>s and 2 [[pythagorean comma]]<nowiki/>s, or put simply, the difference between the [[359-comma]] and the [[306-comma]].
 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. The next smallest 3-limit comma is the [[Archangelic comma|190537-comma]], which is orders of magnitude much smaller and complex.