BPS: Difference between revisions
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== Extensions == | == Extensions == | ||
Several extensions of this temperament are possible to incorporate additional harmonics. | Several extensions of this temperament are possible to incorporate additional harmonics. | ||
Tunings of BPS with a 9/7 flatter than 13edt possess an [[11-limit]] extension that is reasonable in that range, tempering out [[1375/1323]], which equates [[11/9]] to [[147/125]], which is located 8 generators down. More accurately, [[1331/1323]] can be tempered out, but this splits the 9/7 generator (plus a tritave) in three and therefore functions instead as a 5-limit extension of [[Mintaka]]. | |||
Sharp tunings generally possess a more convenient 13th harmonic than 11th, by tempering out [[637/625]] and identifying (25/21)<sup>2</sup> with [[13/9]], which is optimal near the 30edt tuning. It is then very easy to insert in 19 by tempering [[247/245]], and identifying [[13/9]] with [[27/19]], therefore placing the 19th harmonic 10 generators down; this extension is optimal near the 56edt tuning. | |||
== Interval chains == | == Interval chains == | ||