Archangelic comma - Revision history

Fredg999: No need to mention the multiples if they're not notable (and the following explanation should hint at it anyway); style

2025-08-14T21:57:52Z

No need to mention the multiples if they're not notable (and the following explanation should hint at it anyway); style

← Older revision		Revision as of 21:57, 14 August 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''archangelic comma''' ([[monzo]]: {{monzo\| 301994 -190537 }}) is the amount by which 190537 [[perfect fifth]]s fall short of 111457 [[octave]]s, in other words 2<sup>111457</sup>/(3/2)<sup>190537</sup>. This difference is inaudible at roughly 0.0001 [[cents]].		The '''archangelic comma''' ([[monzo]]: {{monzo\| 301994 -190537 }}) is the amount by which 190537 [[perfect fifth]]s fall short of 111457 [[octave]]s, in other words 2<sup>111457</sup>/(3/2)<sup>190537</sup>. This difference is inaudible at roughly 0.0001 [[cents]].

	This comma was named by [[Aura]] in direct opposition to the [[satanic comma]] due to [[190537edo]] actually surpassing [[665edo]] in 3-2 telicity k-strength. However, it is opposite the satanic comma in other ways, such as the fact that tempering this comma results in a stretched fifth rather than a compressed fifth.		This comma was named by [[Aura]] in direct opposition to the [[satanic comma]] due to [[190537edo]] actually surpassing [[665edo]] in 3-2 telicity k-strength. However, it is opposite the satanic comma in other ways, such as the fact that tempering this comma results in a stretched fifth rather than a compressed fifth.

	== Temperament ==		== Temperament ==
	Tempering out this comma leads to the [[archangelic family]] of temperaments. It is tempered out in 190537edo ~~and its multiples ([[571611edo]]~~, ~~[[762148edo]], [[1714833edo]], [[1905370edo]], and [[4191814edo]] just to name a few), with 190537edo itself being~~ a 28-strong 3-2 telic system due to tempering this comma out.		Tempering out this comma leads to the [[archangelic family]] of temperaments. It is tempered out in 190537edo, which is a 28-strong 3-2 telic system due to tempering this comma out.

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

BudjarnLambeth at 09:05, 3 November 2024

2024-11-03T09:05:14Z

← Older revision		Revision as of 09:05, 3 November 2024
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	== Temperament ==		== Temperament ==
	Tempering out this comma leads to the [[archangelic family]] of temperaments. It is tempered out in 190537edo and its multiples ([[571611edo]], [[762148edo]], [[1714833edo]], [[1905370edo]], and [[4191814edo]] just to name a few), with 190537edo itself being a 28-strong 3-2 telic system due to tempering this comma out.		Tempering out this comma leads to the [[archangelic family]] of temperaments. It is tempered out in 190537edo and its multiples ([[571611edo]], [[762148edo]], [[1714833edo]], [[1905370edo]], and [[4191814edo]] just to name a few), with 190537edo itself being a 28-strong 3-2 telic system due to tempering this comma out.

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

BudjarnLambeth: User:Aura —> Aura

2024-10-14T03:24:09Z

User:Aura —> Aura

← Older revision		Revision as of 03:24, 14 October 2024
Line 6:		Line 6:
	The '''archangelic comma''' ([[monzo]]: {{monzo\| 301994 -190537 }}) is the amount by which 190537 [[perfect fifth]]s fall short of 111457 [[octave]]s, in other words 2<sup>111457</sup>/(3/2)<sup>190537</sup>. This difference is inaudible at roughly 0.0001 [[cents]].		The '''archangelic comma''' ([[monzo]]: {{monzo\| 301994 -190537 }}) is the amount by which 190537 [[perfect fifth]]s fall short of 111457 [[octave]]s, in other words 2<sup>111457</sup>/(3/2)<sup>190537</sup>. This difference is inaudible at roughly 0.0001 [[cents]].

	This comma was named by [[~~User:Aura\|~~Aura]] in direct opposition to the [[satanic comma]] due to [[190537edo]] actually surpassing [[665edo]] in 3-2 telicity k-strength. However, it is opposite the satanic comma in other ways, such as the fact that tempering this comma results in a stretched fifth rather than a compressed fifth.		This comma was named by [[Aura]] in direct opposition to the [[satanic comma]] due to [[190537edo]] actually surpassing [[665edo]] in 3-2 telicity k-strength. However, it is opposite the satanic comma in other ways, such as the fact that tempering this comma results in a stretched fifth rather than a compressed fifth.

	== Temperament ==		== Temperament ==
	Tempering out this comma leads to the [[archangelic family]] of temperaments. It is tempered out in 190537edo and its multiples ([[571611edo]], [[762148edo]], [[1714833edo]], [[1905370edo]], and [[4191814edo]] just to name a few), with 190537edo itself being a 28-strong 3-2 telic system due to tempering this comma out.		Tempering out this comma leads to the [[archangelic family]] of temperaments. It is tempered out in 190537edo and its multiples ([[571611edo]], [[762148edo]], [[1714833edo]], [[1905370edo]], and [[4191814edo]] just to name a few), with 190537edo itself being a 28-strong 3-2 telic system due to tempering this comma out.

BudjarnLambeth: Remove novelty tag for reasons stated on Discord

2024-10-13T07:49:01Z

Remove novelty tag for reasons stated on Discord

← Older revision		Revision as of 07:49, 13 October 2024
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	~~{{Novelty}}~~
	{{Infobox Interval		{{Infobox Interval
	\| Monzo = 301994 -190537		\| Monzo = 301994 -190537

TallKite: added novelty tag

2024-09-27T22:51:13Z

added novelty tag

← Older revision		Revision as of 22:51, 27 September 2024
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			{{Novelty}}
	{{Infobox Interval		{{Infobox Interval
	\| Monzo = 301994 -190537		\| Monzo = 301994 -190537

Aura at 16:06, 26 December 2022

2022-12-26T16:06:49Z

← Older revision		Revision as of 16:06, 26 December 2022
Line 9:		Line 9:

	== Temperament ==		== Temperament ==
	Tempering out this comma leads to the [[archangelic family]] of temperaments. It is tempered out in 190537edo and its multiples ([[571611edo]], [[762148edo]], [[1714833edo]], [[1905370edo]], and [[4191814edo]] just to name a few), with 190537edo itself being an 28-strong 3-2 telic system due to tempering this comma out.		Tempering out this comma leads to the [[archangelic family]] of temperaments. It is tempered out in 190537edo and its multiples ([[571611edo]], [[762148edo]], [[1714833edo]], [[1905370edo]], and [[4191814edo]] just to name a few), with 190537edo itself being a 28-strong 3-2 telic system due to tempering this comma out.

Aura at 18:14, 23 December 2022

2022-12-23T18:14:29Z

← Older revision		Revision as of 18:14, 23 December 2022
Line 9:		Line 9:

	== Temperament ==		== Temperament ==
	Tempering out this comma leads to the [[~~Archangelic~~ family]] of temperaments. It is tempered out in 190537edo and its multiples ([[571611edo]], [[762148edo]], [[1714833edo]], [[1905370edo]], and [[4191814edo]] just to name a few), with 190537edo itself being an 28-strong 3-2 telic system due to tempering this comma out.		Tempering out this comma leads to the [[archangelic family]] of temperaments. It is tempered out in 190537edo and its multiples ([[571611edo]], [[762148edo]], [[1714833edo]], [[1905370edo]], and [[4191814edo]] just to name a few), with 190537edo itself being an 28-strong 3-2 telic system due to tempering this comma out.

Aura at 19:36, 22 December 2022

2022-12-22T19:36:50Z

← Older revision		Revision as of 19:36, 22 December 2022
Line 6:		Line 6:
	The '''archangelic comma''' ([[monzo]]: {{monzo\| 301994 -190537 }}) is the amount by which 190537 [[perfect fifth]]s fall short of 111457 [[octave]]s, in other words 2<sup>111457</sup>/(3/2)<sup>190537</sup>. This difference is inaudible at roughly 0.0001 [[cents]].		The '''archangelic comma''' ([[monzo]]: {{monzo\| 301994 -190537 }}) is the amount by which 190537 [[perfect fifth]]s fall short of 111457 [[octave]]s, in other words 2<sup>111457</sup>/(3/2)<sup>190537</sup>. This difference is inaudible at roughly 0.0001 [[cents]].

	This comma was named by [[User:Aura\|Aura]] in direct opposition to the [[satanic comma]] due to 190537edo actually surpassing 665edo in 3-2 telicity k-strength. However, it is opposite the satanic comma in other ways, such as the fact that tempering this comma results in a stretched fifth rather than a compressed fifth.		This comma was named by [[User:Aura\|Aura]] in direct opposition to the [[satanic comma]] due to [[190537edo]] actually surpassing [[665edo]] in 3-2 telicity k-strength. However, it is opposite the satanic comma in other ways, such as the fact that tempering this comma results in a stretched fifth rather than a compressed fifth.

	== Temperament ==		== Temperament ==
	Tempering out this comma leads to the [[Archangelic family]] of temperaments. It is tempered out in [[190537edo]] and its multiples ([[571611edo]], [[762148edo]], [[1714833edo]], [[1905370edo]], and [[4191814edo]] just to name a few), with 190537edo itself being an 28-strong 3-2 telic system due to tempering this comma out.		Tempering out this comma leads to the [[Archangelic family]] of temperaments. It is tempered out in 190537edo and its multiples ([[571611edo]], [[762148edo]], [[1714833edo]], [[1905370edo]], and [[4191814edo]] just to name a few), with 190537edo itself being an 28-strong 3-2 telic system due to tempering this comma out.

Aura at 19:33, 22 December 2022

2022-12-22T19:33:34Z

← Older revision		Revision as of 19:33, 22 December 2022
Line 6:		Line 6:
	The '''archangelic comma''' ([[monzo]]: {{monzo\| 301994 -190537 }}) is the amount by which 190537 [[perfect fifth]]s fall short of 111457 [[octave]]s, in other words 2<sup>111457</sup>/(3/2)<sup>190537</sup>. This difference is inaudible at roughly 0.0001 [[cents]].		The '''archangelic comma''' ([[monzo]]: {{monzo\| 301994 -190537 }}) is the amount by which 190537 [[perfect fifth]]s fall short of 111457 [[octave]]s, in other words 2<sup>111457</sup>/(3/2)<sup>190537</sup>. This difference is inaudible at roughly 0.0001 [[cents]].

	This comma was named by [[User:Aura\|Aura]] in direct opposition to the [[satanic comma]] due to ~~it being the first [[3-limit]] comma to have a~~ 3-2 ~~[[Telicity #k-Strong Telicity\|~~telicity k-strength~~]] greater than 1 in the log<sub>2</sub>3 convergence series after~~ the satanic comma, ~~and, due to actually surpassing~~ the ~~satanic~~ comma in ~~3-2 telicity k-strength~~.		This comma was named by [[User:Aura\|Aura]] in direct opposition to the [[satanic comma]] due to 190537edo actually surpassing 665edo in 3-2 telicity k-strength. However, it is opposite the satanic comma in other ways, such as the fact that tempering this comma results in a stretched fifth rather than a compressed fifth.

	== Temperament ==		== Temperament ==
	Tempering out this comma leads to the [[Archangelic family]] of temperaments. It is tempered out in [[190537edo]] and its multiples ([[571611edo]], [[762148edo]], [[1714833edo]], [[1905370edo]], and [[4191814edo]] just to name a few), with 190537edo itself being an 28-strong 3-2 telic system due to tempering this comma out.		Tempering out this comma leads to the [[Archangelic family]] of temperaments. It is tempered out in [[190537edo]] and its multiples ([[571611edo]], [[762148edo]], [[1714833edo]], [[1905370edo]], and [[4191814edo]] just to name a few), with 190537edo itself being an 28-strong 3-2 telic system due to tempering this comma out.

Aura at 19:29, 22 December 2022

2022-12-22T19:29:42Z

← Older revision		Revision as of 19:29, 22 December 2022
Line 9:		Line 9:

	== Temperament ==		== Temperament ==
	Tempering out this comma leads to the [[Archangelic family]] of temperaments. It is tempered out in [[190537edo]] and its multiples ([[571611edo]], [[762148edo]], [[1714833edo]], [[1905370edo]], and [[4191814edo]] just to name a few).		Tempering out this comma leads to the [[Archangelic family]] of temperaments. It is tempered out in [[190537edo]] and its multiples ([[571611edo]], [[762148edo]], [[1714833edo]], [[1905370edo]], and [[4191814edo]] just to name a few), with 190537edo itself being an 28-strong 3-2 telic system due to tempering this comma out.