5L 7s: Difference between revisions

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{{interwiki

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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~~.

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 ==

=== Intervals ===

=== Generator chain ===

=== Modes ===

=== Proposed names ===

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* [[Pepperoni12]] – 271edo tuning

* [[Supra12]] – 56edo tuning

* [[Archy12]] – ~~472edo~~ tuning

* [[Archy12]] – 49edo tuning

* [[12-22a]] – 22edo tuning

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| 5/3 = [[Leapday]]

| 12/7 = [[Leapweek]]

| 9/5 = [[Leapmonth]]

| 7/3 = [[Supra]]

| 13/5 = Golden supra (708.054{{c}})

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+{{interwiki
+| de =
+| en = 5L 7s
+| es =
+| ja = 5L 7s
+}}
 {{Infobox MOS}}
 {{MOS intro|Other Names=p-chromatic}}
-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.
+L 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 ==
 {{TAMNAMS use}}
-{{MOS data}}
+=== Intervals ===
+{{MOS intervals}}
+=== Generator chain ===
+{{MOS genchain}}
+=== Modes ===
+{{MOS mode degrees}}
 === Proposed names ===
@@ Line 35: / Line 48: @@
 * [[Pepperoni12]] – 271edo tuning
 * [[Supra12]] – 56edo tuning
-* [[Archy12]] – 472edo tuning
+* [[Archy12]] – 49edo tuning
 * [[12-22a]] – 22edo tuning
@@ Line 50: / Line 63: @@
 | 5/3 = [[Leapday]]
 | 12/7 = [[Leapweek]]
+| 9/5 = [[Leapmonth]]
 | 7/3 = [[Supra]]
 | 13/5 = Golden supra (708.054{{c}})

5L 7s: Difference between revisions

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