Satanic comma - Revision history

FloraC: Fix format

2025-12-25T08:56:46Z

Fix format

← Older revision		Revision as of 08:56, 25 December 2025
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}}.		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 comma]]~~<nowiki/>~~s and 2 [[pythagorean comma]]~~<nowiki/>~~s, or put simply, the difference between the [[359-comma]] and the [[306-comma]].		It is also the difference between 13 [[Mercator's comma]]s and 2 [[pythagorean comma]]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.		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.

Eufalesio: changed some other things about how to reach it

2025-12-25T01:20:16Z

changed some other things about how to reach it

← Older revision		Revision as of 01:20, 25 December 2025
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}}.		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.		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.

Eufalesio at 23:18, 23 December 2025

2025-12-23T23:18:24Z

← Older revision		Revision as of 23:18, 23 December 2025
Line 4:		Line 4:
	\| Comma = yes		\| Comma = yes
	}}		}}
	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}}.		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 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 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 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.

	== Etymology ==		== Etymology ==

BudjarnLambeth at 00:36, 4 November 2024

2024-11-04T00:36:29Z

← Older revision		Revision as of 00:36, 4 November 2024
Line 14:		Line 14:

	[[Category:Satanic]]		[[Category:Satanic]]
	[[Category:Commas named for ~~their regular temperament properties~~]]		[[Category:Commas named for the intervals they stack]]

BudjarnLambeth at 09:17, 3 November 2024

2024-11-03T09:17:21Z

← Older revision		Revision as of 09:17, 3 November 2024
Line 14:		Line 14:

	[[Category:Satanic]]		[[Category:Satanic]]
			[[Category:Commas named for their regular temperament properties]]

BudjarnLambeth: Removed {{Novelty}} after reading the discussion on the Discord where many editors agreed the comma has widely applicable practical applications

2024-10-11T01:42:35Z

Removed {{Novelty}} after reading the discussion on the Discord where many editors agreed the comma has widely applicable practical applications

← Older revision		Revision as of 01:42, 11 October 2024
Line 1:		Line 1:
	~~{{Novelty}}~~
	{{Infobox Interval		{{Infobox Interval
	\| Monzo = -1054 665		\| Monzo = -1054 665

TallKite: added novelty tag

2024-09-27T22:59:08Z

added novelty tag

← Older revision		Revision as of 22:59, 27 September 2024
Line 1:		Line 1:
			{{Novelty}}
	{{Infobox Interval		{{Infobox Interval
	\| Monzo = -1054 665		\| Monzo = -1054 665

FloraC: +naming

2023-08-11T09:23:03Z

+naming

← Older revision		Revision as of 09:23, 11 August 2023
Line 7:		Line 7:

	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]]

Aura at 19:18, 22 December 2022

2022-12-22T19:18:44Z

← Older revision		Revision as of 19:18, 22 December 2022
Line 4:		Line 4:
	\| Comma = yes		\| Comma = yes
	}}		}}
	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.		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}}.

	~~This difference is inaudible, at only 0.076{{cent}}.~~		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.).

Plumtree: Infobox Interval added

2022-10-27T16:02:42Z

Infobox Interval added

← Older revision		Revision as of 16:02, 27 October 2022
Line 1:		Line 1:
			{{Infobox Interval
			\| Monzo = -1054 665
			\| Name = satanic comma
			\| Comma = yes
			}}
	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.		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.

Line 4:		Line 9:

	It is tempered out in [[665edo]] and its multiples (1330edo, etc.).		It is tempered out in [[665edo]] and its multiples (1330edo, etc.).

	~~[[Category:Rational intervals]]~~
	~~[[Category:3-limit]]~~
	~~[[Category:Unnoticeable commas]]~~