Bastille: Difference between revisions
→Theory: oops that was fourth and not fifth |
Proposal declined. Temperament-agnostic name and temperament name should never be identical |
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'''Bastille''' is a | '''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. | ||
The defining characterstic of Bastille | The defining characterstic of Bastille is that the generator is a "meantone" flat fifth of around 694.5 cents. Such a characteristic is quite remarkable for edos in the thousands to support. | ||
== Theory == | == Theory == | ||
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}. | |||
Revision as of 08:41, 19 January 2023
Bastille is a sequence of mos scales 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 characterstic of Bastille is that the generator is a "meantone" flat fifth of around 694.5 cents. Such a characteristic is quite remarkable for edos in the thousands to support.
Theory
The 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}.