Bastille - Revision history

Eliora: and link to what this actually is named after

2026-05-29T19:22:53Z

and link to what this actually is named after

← Older revision		Revision as of 19:22, 29 May 2026
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	'''Bastille''' is a rank-2 temperament associated with the {{monzo\|1426 0 -596 -15}} comma in the 2.5.7 subgroup, that is no-threes subgroup. It is extracted from a sequence of [[mos scale]]s supported by [[1407edo]] and [[1789edo]]. It derives its name from the fact that the storming of Bastille happened on 14 July 1789, which in date format is written as 14/07/1789.		'''Bastille''' is a rank-2 temperament associated with the {{monzo\|1426 0 -596 -15}} comma in the 2.5.7 subgroup, that is no-threes subgroup. It is extracted from a sequence of [[mos scale]]s supported by [[1407edo]] and [[1789edo]]. It derives its name from the fact that the [[wikipedia:storming of the Bastille\|storming of the Bastille]] happened on 14 July 1789, which in date format is written as 14/07/1789.

	For technical information see [[No-threes subgroup temperaments#Bastille]].		For technical information see [[No-threes subgroup temperaments#Bastille]].

Eliora: /* Extensions */ slight formality rewrite

2026-05-29T19:20:45Z

Extensions: slight formality rewrite

← Older revision		Revision as of 19:20, 29 May 2026
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	=== Extensions ===		=== Extensions ===
	The [[The Jacobins #Pure bastille\|1407eff & 1789 temperament]], named ''pure bastille'', tempers out the [[jacobin comma]], which ~~brings~~ two ~~great~~ French Revolution terms in one temperament. However, from a just intonation perspective, such temperament may be too complex, even for edos in the thousands. On the other hand, taking patent vals of 1407edo and 1789edo in the full 13-limit produces a temperament whose fifth is mapped to [[112/75]], a relatively simple interval on this scale. Comma basis for this version of bastille is {384912/384475, 41765625/41746432, 4501875/4499456, 540078539/540000000}. Since 112/75 is called marvelous fifth, the most straightforward name for this temperament is ''[[marvelous bastille]]''.		The [[The Jacobins #Pure bastille\|1407eff & 1789 temperament]], named ''pure bastille'', tempers out the [[jacobin comma]], which is thematically relevant to the naming reason as it combines two French Revolution-associated historical terms in one temperament. However, from a just intonation perspective, such temperament may be too complex, even for edos in the thousands. On the other hand, taking patent vals of 1407edo and 1789edo in the full 13-limit produces a temperament whose fifth is mapped to [[112/75]], a relatively simple interval on this scale. Comma basis for this version of bastille is {384912/384475, 41765625/41746432, 4501875/4499456, 540078539/540000000}. Since 112/75 is called marvelous fifth, the most straightforward name for this temperament is ''[[marvelous bastille]]''.

	=== MOS scales of Bastille ===		=== MOS scales of Bastille ===

Lériendil at 22:50, 19 April 2025

2025-04-19T22:50:51Z

← Older revision		Revision as of 22:50, 19 April 2025
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	=== Extensions ===		=== Extensions ===
	The [[The Jacobins #Pure ~~Bastille~~\|1407eff & 1789 temperament]], named ''pure bastille'', tempers out the [[jacobin comma]], which brings two great French Revolution terms in one temperament. However, from a just intonation perspective, such temperament may be too complex, even for edos in the thousands. On the other hand, taking patent vals of 1407edo and 1789edo in the full 13-limit produces a temperament whose fifth is mapped to [[112/75]], a relatively simple interval on this scale. Comma basis for this version of bastille is {384912/384475, 41765625/41746432, 4501875/4499456, 540078539/540000000}. Since 112/75 is called marvelous fifth, the most straightforward name for this temperament is ''[[marvelous bastille]]''.		The [[The Jacobins #Pure bastille\|1407eff & 1789 temperament]], named ''pure bastille'', tempers out the [[jacobin comma]], which brings two great French Revolution terms in one temperament. However, from a just intonation perspective, such temperament may be too complex, even for edos in the thousands. On the other hand, taking patent vals of 1407edo and 1789edo in the full 13-limit produces a temperament whose fifth is mapped to [[112/75]], a relatively simple interval on this scale. Comma basis for this version of bastille is {384912/384475, 41765625/41746432, 4501875/4499456, 540078539/540000000}. Since 112/75 is called marvelous fifth, the most straightforward name for this temperament is ''[[marvelous bastille]]''.

	=== MOS scales of Bastille ===		=== MOS scales of Bastille ===

BudjarnLambeth: +"For technical information see No-threes subgroup temperaments#Bastille."

2024-10-28T10:41:47Z

+"For technical information see No-threes subgroup temperaments#Bastille."

← Older revision		Revision as of 10:41, 28 October 2024
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	'''Bastille''' is a rank-2 temperament associated with the {{monzo\|1426 0 -596 -15}} comma in the 2.5.7 subgroup, that is no-threes subgroup. It is extracted from a sequence of [[mos scale]]s supported by [[1407edo]] and [[1789edo]]. It derives its name from the fact that the storming of Bastille happened on 14 July 1789, which in date format is written as 14/07/1789.		'''Bastille''' is a rank-2 temperament associated with the {{monzo\|1426 0 -596 -15}} comma in the 2.5.7 subgroup, that is no-threes subgroup. It is extracted from a sequence of [[mos scale]]s supported by [[1407edo]] and [[1789edo]]. It derives its name from the fact that the storming of Bastille happened on 14 July 1789, which in date format is written as 14/07/1789.

			For technical information see [[No-threes subgroup temperaments#Bastille]].

	== Theory ==		== Theory ==

BudjarnLambeth: /* Extensions */ add link

2024-01-26T05:03:01Z

Extensions: add link

← Older revision		Revision as of 05:03, 26 January 2024
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	=== Extensions ===		=== Extensions ===
	The [[The Jacobins #Pure Bastille\|1407eff & 1789 temperament]], named ''pure bastille'', tempers out the [[jacobin comma]], which brings two great French Revolution terms in one temperament. However, from a just intonation perspective, such temperament may be too complex, even for edos in the thousands. On the other hand, taking patent vals of 1407edo and 1789edo in the full 13-limit produces a temperament whose fifth is mapped to [[112/75]], a relatively simple interval on this scale. Comma basis for this version of bastille is {384912/384475, 41765625/41746432, 4501875/4499456, 540078539/540000000}. Since 112/75 is called marvelous fifth, the most straightforward name for this temperament is ''marvelous bastille''.		The [[The Jacobins #Pure Bastille\|1407eff & 1789 temperament]], named ''pure bastille'', tempers out the [[jacobin comma]], which brings two great French Revolution terms in one temperament. However, from a just intonation perspective, such temperament may be too complex, even for edos in the thousands. On the other hand, taking patent vals of 1407edo and 1789edo in the full 13-limit produces a temperament whose fifth is mapped to [[112/75]], a relatively simple interval on this scale. Comma basis for this version of bastille is {384912/384475, 41765625/41746432, 4501875/4499456, 540078539/540000000}. Since 112/75 is called marvelous fifth, the most straightforward name for this temperament is ''[[marvelous bastille]]''.

	=== MOS scales of Bastille ===		=== MOS scales of Bastille ===

BudjarnLambeth: /* = Related pages */

2024-01-03T07:51:17Z

= Related pages

← Older revision		Revision as of 07:51, 3 January 2024
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	* [[7L 12s]] - ultrasoft m-enharmonic - can be used as a well-temperament for [[19edo]].		* [[7L 12s]] - ultrasoft m-enharmonic - can be used as a well-temperament for [[19edo]].

	=== Related pages ==		== Related pages ==
	* [[Bastille comma]]		* [[Bastille comma]]

	[[Category:Rank 2]]		[[Category:Rank 2]]

BudjarnLambeth: Added link to lonely page

2024-01-03T07:51:09Z

Added link to lonely page

← Older revision		Revision as of 07:51, 3 January 2024
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	=== MOS scales of Bastille ===		=== MOS scales of Bastille ===

	* [[1L 1s]]		* [[1L 1s]]
	* [[2L 1s]]		* [[2L 1s]]
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	* [[7L 5s]] - minihard m-chromatic		* [[7L 5s]] - minihard m-chromatic
	* [[7L 12s]] - ultrasoft m-enharmonic - can be used as a well-temperament for [[19edo]].		* [[7L 12s]] - ultrasoft m-enharmonic - can be used as a well-temperament for [[19edo]].

			=== Related pages ==
			* [[Bastille comma]]

	[[Category:Rank 2]]		[[Category:Rank 2]]

Eliora at 15:27, 15 March 2023

2023-03-15T15:27:17Z

← Older revision		Revision as of 15:27, 15 March 2023
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	* [[7L 5s]] - minihard m-chromatic		* [[7L 5s]] - minihard m-chromatic
	* [[7L 12s]] - ultrasoft m-enharmonic - can be used as a well-temperament for [[19edo]].		* [[7L 12s]] - ultrasoft m-enharmonic - can be used as a well-temperament for [[19edo]].

			[[Category:Rank 2]]

Eliora: monzo

2023-03-15T15:26:31Z

monzo

← Older revision		Revision as of 15:26, 15 March 2023
Line 1:		Line 1:
	'''Bastille''' is a rank-2 temperament associated with the [1426, 0 -596,-15> comma in the 2.5.7 subgroup, that is no-threes subgroup. It is extracted from a sequence of [[mos scale]]s supported by [[1407edo]] and [[1789edo]]. It derives its name from the fact that the storming of Bastille happened on 14 July 1789, which in date format is written as 14/07/1789.		'''Bastille''' is a rank-2 temperament associated with the {{monzo\|1426 0 -596 -15}} comma in the 2.5.7 subgroup, that is no-threes subgroup. It is extracted from a sequence of [[mos scale]]s supported by [[1407edo]] and [[1789edo]]. It derives its name from the fact that the storming of Bastille happened on 14 July 1789, which in date format is written as 14/07/1789.

	== Theory ==		== Theory ==

Eliora: found a way to formulate all of this correctly

2023-03-15T15:26:11Z

found a way to formulate all of this correctly

← Older revision		Revision as of 15:26, 15 March 2023
Line 1:		Line 1:
	'''Bastille''' is a sequence of [[mos scale]]s supported by [[1407edo]] and [[1789edo]]. It derives its name from the fact that the storming of Bastille happened on 14 July 1789, which in date format is written as 14/07/1789.		'''Bastille''' is a rank-2 temperament associated with the [1426, 0 -596,-15> comma in the 2.5.7 subgroup, that is no-threes subgroup. It is extracted from a sequence of [[mos scale]]s supported by [[1407edo]] and [[1789edo]]. It derives its name from the fact that the storming of Bastille happened on 14 July 1789, which in date format is written as 14/07/1789.

	~~The defining characteristic~~ of ~~Bastille is that~~ the ~~generator is~~ a ~~"meantone" flat fifth~~ of ~~around 694~~.5 ~~cents~~.		== Theory ==
			Since 1407edo and 1789edo have large relative errors on harmonics outside of the 2.5.7 subgroup, there initially was no single temperament named bastille, and the term used to refer to merely a sequence of mos scales to accommodate many possible vals that 1407edo and 1789edo support. However, the temperament can be firmly defined in the 2.5.7 subgroup.

	== ~~Theory~~ ==		The defining characteristic of Bastille is that the generator is a "meantone" flat fifth of around 694.5 cents. Fifteen stacked generators lead to [[8/5]]. Given the precision, such a characteristic is notable for edos in the thousands to support.

			=== Extensions ===
	The [[The Jacobins #Pure Bastille\|1407eff & 1789 temperament]], named ''pure bastille'', tempers out the [[jacobin comma]], which brings two great French Revolution terms in one temperament. However, from a just intonation perspective, such temperament may be too complex, even for edos in the thousands. On the other hand, taking patent vals of 1407edo and 1789edo in the full 13-limit produces a temperament whose fifth is mapped to [[112/75]], a relatively simple interval on this scale. Comma basis for this version of bastille is {384912/384475, 41765625/41746432, 4501875/4499456, 540078539/540000000}. Since 112/75 is called marvelous fifth, the most straightforward name for this temperament is ''marvelous bastille''.		The [[The Jacobins #Pure Bastille\|1407eff & 1789 temperament]], named ''pure bastille'', tempers out the [[jacobin comma]], which brings two great French Revolution terms in one temperament. However, from a just intonation perspective, such temperament may be too complex, even for edos in the thousands. On the other hand, taking patent vals of 1407edo and 1789edo in the full 13-limit produces a temperament whose fifth is mapped to [[112/75]], a relatively simple interval on this scale. Comma basis for this version of bastille is {384912/384475, 41765625/41746432, 4501875/4499456, 540078539/540000000}. Since 112/75 is called marvelous fifth, the most straightforward name for this temperament is ''marvelous bastille''.

	~~The common thing between the two temperaments is that fifteen stacked generators lead to [[8/5]]. Given the precision, such a characteristic is quite remarkable for edos in the thousands to support.~~		=== MOS scales of Bastille ===

	== ~~Scale sequence~~ ==

	* [[1L 1s]]		* [[1L 1s]]
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	* [[7L 5s]] - minihard m-chromatic		* [[7L 5s]] - minihard m-chromatic
	* [[7L 12s]] - ultrasoft m-enharmonic - can be used as a well-temperament for [[19edo]].		* [[7L 12s]] - ultrasoft m-enharmonic - can be used as a well-temperament for [[19edo]].

	~~...~~
	~~[[Category:Terms]]~~
	~~[[Category:Scales]]~~