Archytas and ares: Difference between revisions

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'''Archytas''' is the [[rank-3]] [[regular temperament|temperament]] [[tempering out]] [[64/63]], with the same 2.3.7-[[subgroup]] structure as [[archy]] but giving [[prime harmonic|prime]] [[5/1|5]] an independent generator. It has an obvious extension to the 11-limit tempering out [[100/99]] and [[176/175]], called '''ares''', as 64/63 = (100/99)(176/175).

{{~~Tdlink~~|Archytas ~~family #Archytas~~}} ~~See also: [[~~Archytas ~~family #Ares]]~~.

These temperaments are named after the ancient Greek mathematician {{w|Archytas}} and the Greek god {{w|Ares}} respectively, the latter being most likely related to the fact that Archytas was Greek, in addition to the pattern of naming rank-2 temperaments after deities.

~~== Etymology ==~~

See [[Archytas family #Archytas]] and [[Archytas family #Ares|#Ares]] for technical data.

~~These temperaments are named after the ancient Greek mathematician {{w|~~Archytas}} and ~~the Greek god {{w~~|Ares~~}} respectively, the latter being most likely related to the fact that Archytas was Greek.~~

~~{{todo|add etymology|inline=1|text=Add name (person who coined the terms) and year (when they were coined). Review reasoning if possible~~.}}

== Interval lattice ==

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</gallery>

== Chords ==

== Chords and harmony ==

Archytas enables the eponymous [[essentially tempered chord]]s of [[archytas chords]]. Ares further enables [[ptolemismic chords|ptolemismic]], [[valinorsmic chords|valinorsmic]], and [[ares chords]].

== Scales ==

=== Scala files ===

* [[Archytas12]]

* [[Archytas12synch]]

@@ Line 3: / Line 3: @@
 '''Archytas''' is the [[rank-3]] [[regular temperament|temperament]] [[tempering out]] [[64/63]], with the same 2.3.7-[[subgroup]] structure as [[archy]] but giving [[prime harmonic|prime]] [[5/1|5]] an independent generator. It has an obvious extension to the 11-limit tempering out [[100/99]] and [[176/175]], called '''ares''', as 64/63 = (100/99)(176/175).
-{{Tdlink|Archytas family #Archytas}} See also: [[Archytas family #Ares]].
+These temperaments are named after the ancient Greek mathematician {{w|Archytas}} and the Greek god {{w|Ares}} respectively, the latter being most likely related to the fact that Archytas was Greek, in addition to the pattern of naming rank-2 temperaments after deities.
-== Etymology ==
+See [[Archytas family #Archytas]] and [[Archytas family #Ares|#Ares]] for technical data.
-These temperaments are named after the ancient Greek mathematician {{w|Archytas}} and the Greek god {{w|Ares}} respectively, the latter being most likely related to the fact that Archytas was Greek.
-{{todo|add etymology|inline=1|text=Add name (person who coined the terms) and year (when they were coined). Review reasoning if possible.}}
 == Interval lattice ==
@@ Line 14: / Line 12: @@
 </gallery>
-== Chords ==
+== Chords and harmony ==
 Archytas enables the eponymous [[essentially tempered chord]]s of [[archytas chords]]. Ares further enables [[ptolemismic chords|ptolemismic]], [[valinorsmic chords|valinorsmic]], and [[ares chords]].
 == Scales ==
+=== Scala files ===
 * [[Archytas12]]
 * [[Archytas12synch]]