800/729 - Revision history

BudjarnLambeth at 06:36, 3 November 2024

2024-11-03T06:36:06Z

← Older revision		Revision as of 06:36, 3 November 2024
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	== Notes ==		== Notes ==

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

FloraC: /* Temperaments */ this information is very relevant for supersharp itself, so moved there.

2024-08-11T15:59:27Z

Temperaments: this information is very relevant for supersharp itself, so moved there.

← Older revision		Revision as of 15:59, 11 August 2024
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	== Temperaments ==		== Temperaments ==
	If used as a [[comma]] to be tempered out, this interval may be called the '''supersharp comma''', and tempering it out leads to the rank-2 [[supersharp]] temperament, which splits the octave into two 27/20~40/27 semioctaves and generally tempers 3/2 very sharp (~~by more~~ than ~~20¢~~). This means that five generators from the [[generator sequence #JI scales obtained from guided generator sequences\|Zarlino generator sequence]] starting with 6/5 are tempered to one and a half octaves. The only reasonable 7-limit [[extension]] adds [[50/49]] to the comma list, taking advantage of the existing semioctave.		If used as a [[comma]] to be tempered out, this interval may be called the '''supersharp comma''', and tempering it out leads to the rank-2 [[supersharp]] temperament, which splits the octave into two 27/20~40/27 semioctaves and generally tempers 3/2 very sharp (sharper than 3\5).

	== Etymology ==		== Etymology ==

FloraC: Fix section title placement

2024-08-11T15:39:12Z

Fix section title placement

← Older revision		Revision as of 15:39, 11 August 2024
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	== Etymology ==		== Etymology ==
	The name ''supersharp'' has been around no later than 2010<ref>[https://en.xen.wiki/index.php?title=Proposed_names_for_rank_2_temperaments&oldid=24809 Xenharmonic Wiki \| Proposed names for rank 2 temperaments (Revision as of 22:54, 11 June 2010 by Wikispaces>Mizarian)]</ref>, coming from the fact that a very sharp fifth is a generator for the temperament.		The name ''supersharp'' has been around no later than 2010<ref>[https://en.xen.wiki/index.php?title=Proposed_names_for_rank_2_temperaments&oldid=24809 Xenharmonic Wiki \| Proposed names for rank 2 temperaments (Revision as of 22:54, 11 June 2010 by Wikispaces>Mizarian)]</ref>, coming from the fact that a very sharp fifth is a generator for the temperament.

			[[User:Tristanbay\|Tristan Bay]] proposes the name ''la brea'' in August 2024 in reference to the ''taric'' [[mos scale]] pattern that can be formed from tempering it out.

	== Notes ==		== Notes ==
	~~[[User:Tristanbay\|Tristan Bay]] proposes the name ''la brea'' in August 2024 in reference to the ''taric'' [[mos scale]] pattern that can be formed from tempering it out.~~

FloraC: Rework and reject the 2024 name in favor of existing names

2024-08-11T15:38:50Z

Rework and reject the 2024 name in favor of existing names

← Older revision		Revision as of 15:38, 11 August 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ~~la brea~~ second		\| Name = diptolemaic major second, supersharp comma
	\| Color name = sayoyo 2nd, syy2		\| Color name = sayoyo 2nd, syy2
	\| Comma = yes		\| Comma = yes
	}}		}}

	The '''~~la brea~~ second''' is a 5-limit interval measuring about 161~~[[Cent\|¢]]~~. It is the difference between [[27/20]] and [[40/27]], as well as [[9/8]] lowered by two [[81/80\|syntonic commas]].		The '''diptolemaic major second''' is a [[5-limit]] [[interval]] measuring about 161{{cent}}. It is the difference between [[27/20]] and [[40/27]], as well as [[9/8]] lowered by two [[81/80\|syntonic commas]].

	~~Tempering~~ it out leads to rank-2 [[~~la brea~~]] temperament, which splits the octave into two ~27/20 ~~intervals~~ and generally tempers 3/2 very sharp (by more than 20¢). This means that five generators from the [[generator sequence#JI scales obtained from guided generator sequences\|Zarlino generator sequence]] starting with 6/5 are tempered to one and a half octaves. ~~Reasonable higher~~-limit ~~extensions~~ to ~~this temperent probably exist~~.		== Temperaments ==
			If used as a [[comma]] to be tempered out, this interval may be called the '''supersharp comma''', and tempering it out leads to the rank-2 [[supersharp]] temperament, which splits the octave into two 27/20~40/27 semioctaves and generally tempers 3/2 very sharp (by more than 20¢). This means that five generators from the [[generator sequence #JI scales obtained from guided generator sequences\|Zarlino generator sequence]] starting with 6/5 are tempered to one and a half octaves. The only reasonable 7-limit [[extension]] adds [[50/49]] to the comma list, taking advantage of the existing semioctave.

	== Etymology ==		== Etymology ==
			The name ''supersharp'' has been around no later than 2010<ref>[https://en.xen.wiki/index.php?title=Proposed_names_for_rank_2_temperaments&oldid=24809 Xenharmonic Wiki \| Proposed names for rank 2 temperaments (Revision as of 22:54, 11 June 2010 by Wikispaces>Mizarian)]</ref>, coming from the fact that a very sharp fifth is a generator for the temperament.

	~~This interval was named by~~ [[User:Tristanbay\|Tristan Bay]] in August 2024 in reference to the ''taric'' [[~~MOS~~ scale]] pattern that can be formed from tempering it out.		== Notes ==
			[[User:Tristanbay\|Tristan Bay]] proposes the name ''la brea'' in August 2024 in reference to the ''taric'' [[mos scale]] pattern that can be formed from tempering it out.

Tristanbay: slight wording change

2024-08-11T08:51:46Z

slight wording change

← Older revision		Revision as of 08:51, 11 August 2024
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	The '''la brea second''' is a 5-limit interval measuring about 161[[Cent\|¢]]. It is the difference between [[27/20]] and [[40/27]], as well as [[9/8]] lowered by two [[81/80\|syntonic commas]].		The '''la brea second''' is a 5-limit interval measuring about 161[[Cent\|¢]]. It is the difference between [[27/20]] and [[40/27]], as well as [[9/8]] lowered by two [[81/80\|syntonic commas]].

	Tempering it out leads to rank-2 [[la brea]] temperament, which splits the octave into two ~27/20 intervals and generally tempers 3/2 very sharp (by more than 20¢). This means that five generators from the [[generator sequence#JI scales obtained from guided generator sequences\|Zarlino generator sequence]] starting ~~from~~ 6/5 are tempered to one and a half octaves. Reasonable higher-limit extensions to this temperent probably exist.		Tempering it out leads to rank-2 [[la brea]] temperament, which splits the octave into two ~27/20 intervals and generally tempers 3/2 very sharp (by more than 20¢). This means that five generators from the [[generator sequence#JI scales obtained from guided generator sequences\|Zarlino generator sequence]] starting with 6/5 are tempered to one and a half octaves. Reasonable higher-limit extensions to this temperent probably exist.

	== Etymology ==		== Etymology ==

	This interval was named by [[User:Tristanbay\|Tristan Bay]] in August 2024 in reference to the ''taric'' [[MOS scale]] pattern that can be formed from tempering it out.		This interval was named by [[User:Tristanbay\|Tristan Bay]] in August 2024 in reference to the ''taric'' [[MOS scale]] pattern that can be formed from tempering it out.

Tristanbay: Fixed typo: "bery" to "very"

2024-08-11T08:46:23Z

Fixed typo: "bery" to "very"

← Older revision		Revision as of 08:46, 11 August 2024
Line 7:		Line 7:
	The '''la brea second''' is a 5-limit interval measuring about 161[[Cent\|¢]]. It is the difference between [[27/20]] and [[40/27]], as well as [[9/8]] lowered by two [[81/80\|syntonic commas]].		The '''la brea second''' is a 5-limit interval measuring about 161[[Cent\|¢]]. It is the difference between [[27/20]] and [[40/27]], as well as [[9/8]] lowered by two [[81/80\|syntonic commas]].

	Tempering it out leads to rank-2 [[la brea]] temperament, which splits the octave into two ~27/20 intervals and generally tempers 3/2 ~~bery~~ sharp (by more than 20¢). This means that five generators from the [[generator sequence#JI scales obtained from guided generator sequences\|Zarlino generator sequence]] starting from 6/5 are tempered to one and a half octaves. Reasonable higher-limit extensions to this temperent probably exist.		Tempering it out leads to rank-2 [[la brea]] temperament, which splits the octave into two ~27/20 intervals and generally tempers 3/2 very sharp (by more than 20¢). This means that five generators from the [[generator sequence#JI scales obtained from guided generator sequences\|Zarlino generator sequence]] starting from 6/5 are tempered to one and a half octaves. Reasonable higher-limit extensions to this temperent probably exist.

	== Etymology ==		== Etymology ==

	This interval was named by [[User:Tristanbay\|Tristan Bay]] in August 2024 in reference to the ''taric'' [[MOS scale]] pattern that can be formed from tempering it out.		This interval was named by [[User:Tristanbay\|Tristan Bay]] in August 2024 in reference to the ''taric'' [[MOS scale]] pattern that can be formed from tempering it out.

Tristanbay: /* Etymology */ Changed word from comma to interval

2024-08-11T08:44:49Z

Etymology: Changed word from comma to interval

← Older revision		Revision as of 08:44, 11 August 2024
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	== Etymology ==		== Etymology ==

	This ~~comma~~ was named by [[User:Tristanbay\|Tristan Bay]] in August 2024 in reference to the ''taric'' [[MOS scale]] pattern that can be formed from tempering it out.		This interval was named by [[User:Tristanbay\|Tristan Bay]] in August 2024 in reference to the ''taric'' [[MOS scale]] pattern that can be formed from tempering it out.

Tristanbay: Added page for 800/729

2024-08-11T08:43:14Z

Added page for 800/729

New page

{{Infobox Interval
| Name = la brea second
| Color name = sayoyo 2nd, syy2
| Comma = yes
}}

The '''la brea second''' is a 5-limit interval measuring about 161[[Cent|¢]]. It is the difference between [[27/20]] and [[40/27]], as well as [[9/8]] lowered by two [[81/80|syntonic commas]].

Tempering it out leads to rank-2 [[la brea]] temperament, which splits the octave into two ~27/20 intervals and generally tempers 3/2 bery sharp (by more than 20¢). This means that five generators from the [[generator sequence#JI scales obtained from guided generator sequences|Zarlino generator sequence]] starting from 6/5 are tempered to one and a half octaves. Reasonable higher-limit extensions to this temperent probably exist.

== Etymology ==

This comma was named by [[User:Tristanbay|Tristan Bay]] in August 2024 in reference to the ''taric'' [[MOS scale]] pattern that can be formed from tempering it out.