245/243 - Revision history

Hstraub at 11:48, 16 November 2025

2025-11-16T11:48:59Z

← Older revision		Revision as of 11:48, 16 November 2025
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			{{interwiki
			\| de = 245/243
			\| en = 245/243
			}}
	{{Infobox Interval		{{Infobox Interval
	\| Name = sensamagic comma		\| Name = sensamagic comma

Lériendil at 02:40, 27 May 2025

2025-05-27T02:40:45Z

← Older revision		Revision as of 02:40, 27 May 2025
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	—Gene Ward Smith		—Gene Ward Smith

	In 2025, [[Tristan Bay]] proposed ''lambda comma'' to reflect the fact that [[~~edo~~]]s which temper this comma out contain the aforementioned lambda scale (and is accurately tuned in the corresponding temperament, relative to the size of the ~~edo~~).		In 2025, [[Tristan Bay]] proposed ''lambda comma'' to reflect the fact that [[edt]]s which temper this comma out contain the aforementioned lambda scale (and is accurately tuned in the corresponding temperament, relative to the size of the edt).

	== See also ==		== See also ==

FloraC: Cleanup with emphasis on the distinction of BPS (a temp) and lambda (a scale)

2025-05-26T11:50:18Z

Cleanup with emphasis on the distinction of BPS (a temp) and lambda (a scale)

← Older revision		Revision as of 11:50, 26 May 2025
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	== Temperaments ==		== Temperaments ==
	Tempering it out alone in the 7-limit leads to the [[sensamagic]] temperament, where 5/3 is split into two equal parts, each representing 9/7~[[35/27]], and may be extended to represent higher-limit ratios like [[13/10]], [[22/17]], etc. It enables [[sensamagic chords]]. ~~See~~ [[~~sensamagic family]] for the rank-~~3 ~~temperament family where it is tempered out~~. ~~See [[sensamagic clan~~]] ~~for the rank-2 clan where it is tempered out. Tempering it out in the no-twos 7-limit~~ leads to the non-octave [[4L 5s (3/1-equivalent)\|lambda scale]] found in ~~13ed3~~, the [[~~Bohlen~~-~~Pierce scale~~]].		[[Tempering out]] this comma alone in the 7-limit leads to the [[sensamagic]] temperament, where 5/3 is split into two equal parts, each representing 9/7~[[35/27]], and may be extended to represent higher-limit ratios like [[13/10]], [[22/17]], etc. It enables [[sensamagic chords]].

			Tempering it out in the [[3.5.7 subgroup]] leads to the non-octave [[BPS]] temperament, which features a [[4L 5s (3/1-equivalent)\|lambda scale]] as is found in [[13edt]], the [[Bohlen–Pierce scale]].

			See [[Sensamagic family]] for the rank-3 temperament family where it is tempered out. See [[Sensamagic clan]] for the rank-2 clan where it is tempered out.

	== Etymology ==		== Etymology ==
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	== See also ==		== See also ==
	* [[Small comma]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

FloraC: Proposal not accepted by the community

2025-05-26T11:46:13Z

Proposal not accepted by the community

← Older revision		Revision as of 11:46, 26 May 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = sensamagic ~~comma,<br>lambda~~ comma		\| Name = sensamagic comma
	\| Color name = zzy2, zozoyo 2nd,<br>Zozoyo comma		\| Color name = zzy2, zozoyo 2nd,<br>Zozoyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}
			'''245/243''', the '''sensamagic comma''', is a [[small comma\|small]] [[7-limit]] [[comma]] measuring 14.2 [[cent]]s. It is the amount by which two septimal major thirds ([[9/7]]) fall short of a classic major sixth ([[5/3]]), or the difference between [[28/27]] and [[36/35]].
	'''245/243''', the '''sensamagic ~~comma''' or '''lambda~~ comma''', is a [[small comma\|small]] [[7-limit]] [[comma]] measuring 14.2 [[cent]]s. It is the amount by which two septimal major thirds ([[9/7]]) fall short of a classic major sixth ([[5/3]]), or the difference between [[28/27]] and [[36/35]].

	== Temperaments ==		== Temperaments ==
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	—Gene Ward Smith		—Gene Ward Smith

	~~The other name~~, ''lambda comma''~~, was given by [[Tristan Bay]]~~ to reflect the fact that [[~~EDO\|~~edo]]s which temper this comma out contain the aforementioned lambda scale (and is accurately tuned in the corresponding temperament, relative to the size of the edo).		In 2025, [[Tristan Bay]] proposed ''lambda comma'' to reflect the fact that [[edo]]s which temper this comma out contain the aforementioned lambda scale (and is accurately tuned in the corresponding temperament, relative to the size of the edo).

	== See also ==		== See also ==

Tristanbay: Added alternative name and fixed notes at bottom of page

2025-05-25T18:59:34Z

Added alternative name and fixed notes at bottom of page

← Older revision		Revision as of 18:59, 25 May 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = sensamagic comma		\| Name = sensamagic comma,<br>lambda comma
	\| Color name = zzy2, zozoyo 2nd,<br>Zozoyo comma		\| Color name = zzy2, zozoyo 2nd,<br>Zozoyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}

	'''245/243''', the '''sensamagic comma''', is a [[small comma\|small]] [[7-limit]] [[comma]] measuring 14.2 [[cent]]s. It is the amount by which two septimal major thirds ([[9/7]]) fall short of a classic major sixth ([[5/3]]), or the difference between [[28/27]] and [[36/35]].		'''245/243''', the '''sensamagic comma''' or '''lambda comma''', is a [[small comma\|small]] [[7-limit]] [[comma]] measuring 14.2 [[cent]]s. It is the amount by which two septimal major thirds ([[9/7]]) fall short of a classic major sixth ([[5/3]]), or the difference between [[28/27]] and [[36/35]].

	== Temperaments ==		== Temperaments ==
	Tempering it out alone in the 7-limit leads to the [[sensamagic]] temperament, where 5/3 is split into two equal parts, each representing 9/7~[[35/27]], and may be extended to represent higher-limit ratios like [[13/10]], [[22/17]], etc. It enables [[sensamagic chords]]. See [[sensamagic family]] for the rank-3 temperament family where it is tempered out. See [[sensamagic clan]] for the rank-2 clan where it is tempered out. Tempering it out in the no-twos 7-limit leads to the non-octave ~~temperament characteristic of~~ the [[Bohlen-Pierce scale]].		Tempering it out alone in the 7-limit leads to the [[sensamagic]] temperament, where 5/3 is split into two equal parts, each representing 9/7~[[35/27]], and may be extended to represent higher-limit ratios like [[13/10]], [[22/17]], etc. It enables [[sensamagic chords]]. See [[sensamagic family]] for the rank-3 temperament family where it is tempered out. See [[sensamagic clan]] for the rank-2 clan where it is tempered out. Tempering it out in the no-twos 7-limit leads to the non-octave [[4L 5s (3/1-equivalent)\|lambda scale]] found in 13ed3, the [[Bohlen-Pierce scale]].

	== Etymology ==		== Etymology ==
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	—Gene Ward Smith		—Gene Ward Smith

			The other name, ''lambda comma'', was given by [[Tristan Bay]] to reflect the fact that [[EDO\|edo]]s which temper this comma out contain the aforementioned lambda scale (and is accurately tuned in the corresponding temperament, relative to the size of the edo).

	== See also ==		== See also ==
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	== Notes ==		== Notes ==
	<~~refernces~~ />		<references />

	[[Category:Sensamagic]]		[[Category:Sensamagic]]
	[[Category:Bohlen–Pierce]]		[[Category:Bohlen–Pierce]]
	[[Category:Commas named by combining multiple temperament names]]		[[Category:Commas named by combining multiple temperament names]]

ArrowHead294 at 13:00, 10 March 2025

2025-03-10T13:00:39Z

← Older revision		Revision as of 13:00, 10 March 2025
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	== Notes ==		== Notes ==
			<refernces />

	[[Category:Sensamagic]]		[[Category:Sensamagic]]
	[[Category:~~Bohlen-Pierce~~]]		[[Category:Bohlen–Pierce]]
	[[Category:Commas named by combining multiple temperament names]]		[[Category:Commas named by combining multiple temperament names]]

BudjarnLambeth at 12:55, 3 November 2024

2024-11-03T12:55:42Z

← Older revision		Revision as of 12:55, 3 November 2024
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	[[Category:Sensamagic]]		[[Category:Sensamagic]]
	[[Category:Bohlen-Pierce]]		[[Category:Bohlen-Pierce]]
	[[Category:Commas named ~~for their regular~~ temperament ~~properties~~]]		[[Category:Commas named by combining multiple temperament names]]

BudjarnLambeth at 12:26, 3 November 2024

2024-11-03T12:26:41Z

← Older revision		Revision as of 12:26, 3 November 2024
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	[[Category:Sensamagic]]		[[Category:Sensamagic]]
	[[Category:Bohlen-Pierce]]		[[Category:Bohlen-Pierce]]
			[[Category:Commas named for their regular temperament properties]]

Lériendil at 11:29, 28 August 2024

2024-08-28T11:29:01Z

← Older revision		Revision as of 11:29, 28 August 2024
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	[[Category:Sensamagic]]		[[Category:Sensamagic]]
			[[Category:Bohlen-Pierce]]

FloraC: Expansion

2024-01-02T11:22:16Z

Expansion

← Older revision		Revision as of 11:22, 2 January 2024
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	== Temperaments ==		== Temperaments ==
	Tempering it out alone in the 7-limit leads to the [[sensamagic]] temperament, where 5/3 is split into two equal parts, each representing 9/7~[[35/27]], and may be extended to represent higher-limit ratios like [[13/10]], [[22/17]], etc. It enables [[sensamagic chords]]. See [[sensamagic family]] for the rank-3 temperament family where it is tempered out. See [[sensamagic clan]] for the rank-2 clan where it is tempered out. Tempering it out in the no-twos 7 limit leads to the ~~nonoctave~~ temperament characteristic of the [[~~13edt\|~~Bohlen-Pierce scale]].		Tempering it out alone in the 7-limit leads to the [[sensamagic]] temperament, where 5/3 is split into two equal parts, each representing 9/7~[[35/27]], and may be extended to represent higher-limit ratios like [[13/10]], [[22/17]], etc. It enables [[sensamagic chords]]. See [[sensamagic family]] for the rank-3 temperament family where it is tempered out. See [[sensamagic clan]] for the rank-2 clan where it is tempered out. Tempering it out in the no-twos 7-limit leads to the non-octave temperament characteristic of the [[Bohlen-Pierce scale]].

	== Etymology ==		== Etymology ==
	~~The sensamagic~~ comma was named by [[Gene Ward Smith]] in ~~2010. It is the concatenation~~ of [[~~sensi~~]] and [[~~magic~~]]. ~~Before that~~, it was ~~sometimes known as the~~ ''~~octarod~~'' ~~comma~~<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_88759.html ''Some unnamed 7-limit temperaments'']</ref>.		This comma was first named as ''octarod'' by [[Gene Ward Smith]] in 2005 as a contraction of ''[[octacot]]'' and ''[[rodan]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group \| ''Seven limit comma names from pairs of temperament names'']</ref>, and was renamed to ''sensamagic'' in 2010 as a concatenation of [[sensi]] and [[magic]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_88759.html Yahoo! Tuning Group \| ''Some unnamed 7-limit temperaments'']</ref>.

			<blockquote>
			Here's a thought: 245/243 tells us that two 9/7['s] make up a 5/3. Hence, the temperaments which most exploit this and for which the comma is most characteristic are the ones where 9/7 has a low complexity. And this means sensi (complexity 1) and magic (complexity 2). So my proposal "sensamagic" is the way to go by this reasoning, which strikes me as pretty strong.
			</blockquote>

	: ''Here's a thought: 245/243 tells us that two 9/7['s] make up a 5/3. Hence, the temperaments which most exploit this and for which the comma is most characteristic are the ones where 9/7 has a low complexity. And this means sensi (complexity 1) and magic (complexity 2). So my proposal "sensamagic" is the way to go by this reasoning, which strikes me as pretty strong.''
	—Gene Ward Smith		—Gene Ward Smith