Bastille: Difference between revisions

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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.

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

== Theory ==

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=== 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 ===

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