Superpyth: Difference between revisions

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Superpyth contains a version of the [[5L 2s|diatonic]] scale where the major third represents 9/7, and the minor third represents [[7/6]]. {{W|Tertian harmony}} can thus be used, with the major and minor triads representing [[14:18:21|1–9/7–3/2]] and [[6:7:9|1–7/6–3/2]] respectively, rather than the [[4:5:6|1–5/4–3/2]] and [[10:12:15|1–6/5–3/2]] triads in meantone. Since the fifth is sharp in archy rather than flat in [[meantone]], the large steps (major seconds) are wider, being around 212–222{{c}} depending on the tuning. The small steps (minor seconds) are thus narrower, being around 44–71{{c}}. This has the effect of large and small steps being more distinct compared to meantone diatonic, as well as stronger leading tones due to narrower small steps, though one may want to use milder tunings like [[17edo]] to avoid the small step being too narrow.

Superpyth contains a version of the [[5L 2s|diatonic]] scale where the major third represents 9/7, and the minor third represents [[7/6]]. {{W|Tertian harmony}} can thus be used, with the major and minor triads representing [[14:18:21|1–9/7–3/2]] and [[6:7:9|1–7/6–3/2]] respectively, rather than the [[4:5:6|1–5/4–3/2]] and [[10:12:15|1–6/5–3/2]] triads in meantone.

== Scales ==

; 5-note mos ([[2L 3s]], proper)

* [[Archy5]] – archy in 472edo tuning

; 7-note mos ([[5L 2s]], improper)

* [[Archy7]] – archy in 472edo tuning

* [[Supra7]] – supra in 56edo tuning

In contrast to the meantone diatonic scale, the superpyth diatonic is improper.

; 12-note mos ([[5L 7s]], ~~borderline~~ improper)

Since the fifth is sharp in archy rather than flat in [[meantone]], the large steps (major seconds) are wider, being around 212–222{{c}} depending on the tuning. The small steps (minor seconds) are thus narrower, being around 44–71{{c}}. This has the effect of large and small steps being more distinct compared to meantone diatonic, as well as stronger leading tones due to narrower small steps, though one may want to use milder tunings like [[17edo]] to avoid the small step being too narrow.

; 12-note mos ([[5L 7s]], improper)

The boundary of propriety is [[17edo]].

=== Scala files ===

* [[Archy5]] – archy in 472edo tuning

* [[Archy7]] – archy in 472edo tuning

* [[Archy12]] – archy in 472edo tuning

* [[Supra7]] – supra in 56edo tuning

* [[Supra12]] – supra in 56edo tuning

* [[12-22a]] – superpyth in 22edo tuning

~~The boundary of propriety is [[17edo]].~~

== Tunings ==

@@ Line 149: / Line 149: @@
 {{See also| Chords of superpyth }}
-Superpyth contains a version of the [[5L 2s|diatonic]] scale where the major third represents 9/7, and the minor third represents [[7/6]]. {{W|Tertian harmony}} can thus be used, with the major and minor triads representing [[14:18:21|1–9/7–3/2]] and [[6:7:9|1–7/6–3/2]] respectively, rather than the [[4:5:6|1–5/4–3/2]] and [[10:12:15|1–6/5–3/2]] triads in meantone. Since the fifth is sharp in archy rather than flat in [[meantone]], the large steps (major seconds) are wider, being around 212–222{{c}} depending on the tuning. The small steps (minor seconds) are thus narrower, being around 44–71{{c}}. This has the effect of large and small steps being more distinct compared to meantone diatonic, as well as stronger leading tones due to narrower small steps, though one may want to use milder tunings like [[17edo]] to avoid the small step being too narrow.
+Superpyth contains a version of the [[5L 2s|diatonic]] scale where the major third represents 9/7, and the minor third represents [[7/6]]. {{W|Tertian harmony}} can thus be used, with the major and minor triads representing [[14:18:21|1–9/7–3/2]] and [[6:7:9|1–7/6–3/2]] respectively, rather than the [[4:5:6|1–5/4–3/2]] and [[10:12:15|1–6/5–3/2]] triads in meantone.
-{{todo|expand}}
+{{Todo|expand}}
 == Scales ==
 ; 5-note mos ([[2L&nbsp;3s]], proper)
-* [[Archy5]] – archy in 472edo tuning
+{{Todo|inline=1|expand}}
 ; 7-note mos ([[5L&nbsp;2s]], improper)
-* [[Archy7]] – archy in 472edo tuning
-* [[Supra7]] – supra in 56edo tuning
 In contrast to the meantone diatonic scale, the superpyth diatonic is improper.
-; 12-note mos ([[5L&nbsp;7s]], borderline improper)
+Since the fifth is sharp in archy rather than flat in [[meantone]], the large steps (major seconds) are wider, being around 212–222{{c}} depending on the tuning. The small steps (minor seconds) are thus narrower, being around 44–71{{c}}. This has the effect of large and small steps being more distinct compared to meantone diatonic, as well as stronger leading tones due to narrower small steps, though one may want to use milder tunings like [[17edo]] to avoid the small step being too narrow.
+; 12-note mos ([[5L&nbsp;7s]], improper)
+The boundary of propriety is [[17edo]].
+=== Scala files ===
+* [[Archy5]] – archy in 472edo tuning
+* [[Archy7]] – archy in 472edo tuning
 * [[Archy12]] – archy in 472edo tuning
+* [[Supra7]] – supra in 56edo tuning
 * [[Supra12]] – supra in 56edo tuning
 * [[12-22a]] – superpyth in 22edo tuning
-The boundary of propriety is [[17edo]].
 == Tunings ==