5L 7s: Difference between revisions

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{{interwiki
| de =
| en = 5L 7s
| es =
| ja = 5L 7s
}}
{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro|Other Names=p-chromatic}}
{{MOS intro|Other Names=p-chromatic}}
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 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.
5L 7s represents the chromatic scales of [[Pythagorean tuning|Pythagorean]]/[[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 for this scale correspond to schismic and superpyth.


== Scale properties ==
== Scale properties ==
{{TAMNAMS use}}
{{TAMNAMS use}}
{{MOS data}}
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}


=== Proposed names ===
=== Proposed names ===
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* [[Pepperoni12]] – 271edo tuning
* [[Pepperoni12]] – 271edo tuning
* [[Supra12]] – 56edo tuning
* [[Supra12]] – 56edo tuning
* [[Archy12]] – 472edo tuning
* [[Archy12]] – 49edo tuning
* [[12-22a]] – 22edo tuning
* [[12-22a]] – 22edo tuning


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| 5/3 = [[Leapday]]
| 5/3 = [[Leapday]]
| 12/7 = [[Leapweek]]
| 12/7 = [[Leapweek]]
| 9/5 = [[Leapmonth]]
| 7/3 = [[Supra]]
| 7/3 = [[Supra]]
| 13/5 = Golden supra (708.054{{c}})
| 13/5 = Golden supra (708.054{{c}})