5L 7s: Difference between revisions

Ganaram inukshuk (talk | contribs)
Added mos intro; reworded rest of intro to mirror 7L 5s, but lost low-harmonic-entropy-minima info (add back later)
Ganaram inukshuk (talk | contribs)
Added back most of the old wording
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{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro|Other Names=p-chromatic}}
{{MOS intro|Other Names=p-chromatic}}
Temperaments that support this scale include [[Pythagorean tuning|Pythagorean]], [[Schismatic family|schismic]] (such as Helmholtz and Garibaldi), and [[superpyth]], with the Pythagorean and schismatic scales in particular being [[Rothenberg propriety|proper]]. Scales of this form are characterized by having a small step (or [[diatonic semitone]]) that is smaller than the [[chroma]] (or [[chromatic semitone]]).
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, the much simpler and less accurate scale known as superpyth in which 64/63 is tempered out.


== Modes ==
== Modes ==