5L 7s: Difference between revisions

(3 intermediate revisions by 3 users not shown)

Line 1:

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]].

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 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 ==

=== Intervals ===

=== Generator chain ===

=== Modes ===

=== Proposed names ===

Line 41:

Line 49:

{{MOS tuning spectrum

| 6/5 = [[Photia]], ↑ [[grackle]]

| 5/4 = [[Helmholtz]], [[Pythagorean tuning]] (701.955{{c}})

| 5/4 = [[Helmholtz (temperament)|Helmholtz]], [[Pythagorean tuning]] (701.955{{c}})

| 9/7 = [[Garibaldi]] / [[cassandra]]

| 4/3 = Garibaldi / [[andromeda]]

@@ Line 1: / Line 1: @@
 {{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]].
+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 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 ==
 {{TAMNAMS use}}
-{{MOS data}}
+=== Intervals ===
+{{MOS intervals}}
+=== Generator chain ===
+{{MOS genchain}}
+=== Modes ===
+{{MOS mode degrees}}
 === Proposed names ===
@@ Line 41: / Line 49: @@
 {{MOS tuning spectrum
 | 6/5 = [[Photia]], ↑&nbsp;[[grackle]]
-| 5/4 = [[Helmholtz]], [[Pythagorean tuning]] (701.955{{c}})
+| 5/4 = [[Helmholtz (temperament)|Helmholtz]], [[Pythagorean tuning]] (701.955{{c}})
 | 9/7 = [[Garibaldi]] / [[cassandra]]
 | 4/3 = Garibaldi / [[andromeda]]