Archytas and ares - Revision history

FloraC: + infobox

2026-03-18T10:34:46Z

+ infobox

← Older revision		Revision as of 10:34, 18 March 2026
Line 1:		Line 1:
			{{Infobox regtemp
			\| Title = Archytas; ares
			\| Subgroups = 2.3.5.7, 2.3.5.7.11
			\| Comma basis = [[64/63]] (7-limit); <br>[[64/63]], [[100/99]] (11-limit)
			\| Edo join 1 = 12 \| Edo join 2 = 15 \| Edo join 3 = 22
			\| Mapping = 1; 1 0 -2 -2; 0 1 0 2
			\| Generators = 3/2, 5/4
			\| Generators tuning = 709.7, 390.0
			\| Optimization method = CWE
			\| Odd limit 1 = 9 \| Mistuning 1 = 13.6 \| Complexity 1 = ?
			\| Odd limit 2 = 11 \| Mistuning 2 = 13.6 \| Complexity 2 = ?
			}}
	{{Redirect\|Archytas\|the ancient Greek Pythagorean\|Wikipedia: Archytas}}		{{Redirect\|Archytas\|the ancient Greek Pythagorean\|Wikipedia: Archytas}}

FloraC: - typo

2026-01-21T20:23:15Z

- typo

← Older revision		Revision as of 20:23, 21 January 2026
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).		'''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).

	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.		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-3 temperaments after deities.

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

FloraC: Dissolve section of etymology. There is not much to research

2026-01-21T20:22:58Z

Dissolve section of etymology. There is not much to research

← Older revision		Revision as of 20:22, 21 January 2026
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).		'''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 ==		== Interval lattice ==
Line 14:		Line 12:
	</gallery>		</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]].		Archytas enables the eponymous [[essentially tempered chord]]s of [[archytas chords]]. Ares further enables [[ptolemismic chords\|ptolemismic]], [[valinorsmic chords\|valinorsmic]], and [[ares chords]].

	== Scales ==		== Scales ==
			=== Scala files ===
	* [[Archytas12]]		* [[Archytas12]]
	* [[Archytas12synch]]		* [[Archytas12synch]]

FloraC: /* Chords */ + ares chords

2025-12-15T08:47:38Z

Chords: + ares chords

← Older revision		Revision as of 08:47, 15 December 2025
Line 15:		Line 15:

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

	== Scales ==		== Scales ==

FloraC: No one calls archy or superpyth archytas

2025-10-08T09:26:05Z

No one calls archy or superpyth archytas

← Older revision		Revision as of 09:26, 8 October 2025
Line 1:		Line 1:
	{{Redirect\|Archytas\|the ancient Greek Pythagorean\|Wikipedia: Archytas}}		{{Redirect\|Archytas\|the ancient Greek Pythagorean\|Wikipedia: Archytas}}

	~~''This page is about the [[rank-3]] temperament. For the rank-2 temperament, see [[Superpyth]].''~~

	'''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).		'''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).

VectorGraphics at 23:10, 7 October 2025

2025-10-07T23:10:13Z

← Older revision		Revision as of 23:10, 7 October 2025
Line 1:		Line 1:
	{{Redirect\|Archytas\|the ancient Greek Pythagorean\|Wikipedia: Archytas}}		{{Redirect\|Archytas\|the ancient Greek Pythagorean\|Wikipedia: Archytas}}

			''This page is about the [[rank-3]] temperament. For the rank-2 temperament, see [[Superpyth]].''

	'''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).		'''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).

FloraC: + categories

2025-06-17T13:36:19Z

+ categories

← Older revision		Revision as of 13:36, 17 June 2025
Line 29:		Line 29:
	* [https://web.archive.org/web/20201127012439/http://micro.soonlabel.com/hobbit_scales/daily201031--hobbit-archytas12.mp3 ''12 archytas hobbits with ale'']		* [https://web.archive.org/web/20201127012439/http://micro.soonlabel.com/hobbit_scales/daily201031--hobbit-archytas12.mp3 ''12 archytas hobbits with ale'']

			[[Category:Archytas\| ]] <!-- main article -->
	[[Category:Ares\| ]] <!-- main article -->		[[Category:Ares\| ]] <!-- main article -->
	[[Category:Rank-3 temperaments]]		[[Category:Rank-3 temperaments]]
Line 34:		Line 35:
	[[Category:Ptolemismic clan]]		[[Category:Ptolemismic clan]]
	[[Category:Valinorsmic clan]]		[[Category:Valinorsmic clan]]
			[[Category:Listen]]

FloraC: + some scales

2025-06-17T12:20:35Z

+ some scales

← Older revision		Revision as of 12:20, 17 June 2025
Line 18:		Line 18:

	== Scales ==		== Scales ==
			* [[Archytas12]]
			* [[Archytas12synch]]
	* [[Ares12]]		* [[Ares12]]

FloraC: Move music here and fix dead links

2025-06-17T12:18:01Z

Move music here and fix dead links

← Older revision		Revision as of 12:18, 17 June 2025
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).		'''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]].		{{Tdlink\|Archytas family #Archytas}} See also: [[Archytas family #Ares]].

	== Etymology ==		== Etymology ==
Line 19:		Line 19:
	== Scales ==		== Scales ==
	* [[Ares12]]		* [[Ares12]]

			== Music ==
			; [[Joel Taylor]]
			* [https://web.archive.org/web/20201127013434/http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/Archytas12%20sync%20Study%203.mp3 ''Portrait of a Tragedy (Death of a Son) - Archytas12 sync Study 3'']

			; [[Chris Vaisvil]]
			* [https://web.archive.org/web/20201127012439/http://micro.soonlabel.com/hobbit_scales/daily201031--hobbit-archytas12.mp3 ''12 archytas hobbits with ale'']

	[[Category:Ares\| ]] <!-- main article -->		[[Category:Ares\| ]] <!-- main article -->

FloraC: - parent category

2025-04-29T09:52:41Z

- parent category

← Older revision		Revision as of 09:52, 29 April 2025
Line 20:		Line 20:
	* [[Ares12]]		* [[Ares12]]

	~~[[Category:Temperaments]]~~
	[[Category:Ares\| ]] <!-- main article -->		[[Category:Ares\| ]] <!-- main article -->
	[[Category:Rank-3 temperaments]]		[[Category:Rank-3 temperaments]]

← Older revision		Revision as of 20:23, 21 January 2026
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).		'''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).

	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.		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-3 temperaments after deities.

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