5L 7s: Difference between revisions

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5L 7s represents the chromatic scales of [[Pythagorean tuning|Pythagorean]]/[[Schismatic family|schismic]] and [[superpyth]], the former being [[Rothenberg propriety|proper]] but the latter improper until expanded by 5 more notes, producing superpyth[17]. Such scales are characterized by having a small step ([[diatonic semitone]]) that is smaller than the [[chroma]] ([[chromatic semitone]]), the reverse of [[7L 5s]].

The two distinct harmonic entropy minima are, on the one hand, scales very close to ~~Pythagorean such that~~ [[~~64/63~~]] ~~is not tempered out, such as~~ the schismatic ~~temperaments known as Helmholtz and Garibaldi~~, and on the other hand, th simpler and less accurate temperament known as [[~~archy~~]] in which 64/63 is tempered out.

The two distinct harmonic entropy minima are, on the one hand, scales very close to [[Pythagorean tuning]] or the [[schismatic]] temperament, and on the other hand, the simpler and less accurate temperament known as [[superpyth]] in which 64/63 is tempered out.

== Scale properties ==

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 L 7s represents the chromatic scales of [[Pythagorean tuning|Pythagorean]]/[[Schismatic family|schismic]] and [[superpyth]], the former being [[Rothenberg propriety|proper]] but the latter improper until expanded by 5 more notes, producing superpyth[17]. Such scales are characterized by having a small step ([[diatonic semitone]]) that is smaller than the [[chroma]] ([[chromatic semitone]]), the reverse of [[7L 5s]].
-The two distinct harmonic entropy minima are, on the one hand, scales very close to Pythagorean such that [[64/63]] is not tempered out, such as the schismatic temperaments known as Helmholtz and Garibaldi, and on the other hand, th simpler and less accurate temperament known as [[archy]] in which 64/63 is tempered out.
+The two distinct harmonic entropy minima are, on the one hand, scales very close to [[Pythagorean tuning]] or the [[schismatic]] temperament, and on the other hand, the simpler and less accurate temperament known as [[superpyth]] in which 64/63 is tempered out.
 == Scale properties ==