Bastille: Difference between revisions
the fifths are different and are not 3/2 (I assume that's what the comma was about), so no. |
I'll add the table later describing them in detail, for now just the notable ones |
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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}. 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. | 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}. 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. | ||
== Scale sequence == | |||
* [[1L 1s]] | |||
* [[2L 1s]] | |||
* [[2L 3s]] | |||
* [[5L 2s]] - minisoft diatonic | |||
* [[7L 5s]] - minihard m-chromatic | |||
* [[7L 12s]] - ultrasoft m-enharmonic - can be used as a well-temperament for [[19edo]]. | |||
... | |||
[[Category:Terms]] | [[Category:Terms]] | ||
[[Category:Scales]] | [[Category:Scales]] | ||