Ptolemismic clan - Revision history

FloraC: Text replacement - "rank-3 temperament" to "rank-3 temperament"

2026-06-08T08:36:21Z

Text replacement - "rank-3 temperament" to "rank-3 temperament"

← Older revision		Revision as of 08:36, 8 June 2026
Line 1:		Line 1:
	{{Technical data page}}		{{Technical data page}}
	The '''ptolemismic clan''' of [[rank-3 ~~temperament\|rank-3]] [[regular temperament\|~~temperament]]s [[tempering out\|tempers out]] the ptolemisma, [[100/99]].		The '''ptolemismic clan''' of [[rank-3 temperament]]s [[tempering out\|tempers out]] the ptolemisma, [[100/99]].

	Strong extensions are apollo, keemic, thrasher, and ares, considered below. Discussed elsewhere are:		Strong extensions are apollo, keemic, thrasher, and ares, considered below. Discussed elsewhere are:

FloraC: Text replacement - "Category:Temperament clans↵Category:Pages with mostly numerical content" to "Category:Temperament clans"

2025-11-27T12:22:24Z

Text replacement - "Category:Temperament clans↵Category:Pages with mostly numerical content" to "Category:Temperament clans"

← Older revision		Revision as of 12:22, 27 November 2025
Line 43:		Line 43:

	[[Category:Temperament clans]]		[[Category:Temperament clans]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Ptolemismic clan\| ]] <!-- main article -->		[[Category:Ptolemismic clan\| ]] <!-- main article -->
	[[Category:Ptolemismic\| ]] <!-- key article -->		[[Category:Ptolemismic\| ]] <!-- key article -->
	[[Category:Rank 3]]		[[Category:Rank 3]]

FloraC: - POTE tunings

2025-10-12T11:27:59Z

- POTE tunings

← Older revision		Revision as of 11:27, 12 October 2025
Line 24:		Line 24:
	* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 704.4751{{c}}, ~5/4 = 383.0756{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 704.4751{{c}}, ~5/4 = 383.0756{{c}}
	: error map: {{val\| 0.000 +2.520 -3.238 +5.883 }}		: error map: {{val\| 0.000 +2.520 -3.238 +5.883 }}
	~~<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 704.9532{{c}}, ~5/4 = 384.0675{{c}} -->~~

	{{Optimal ET sequence\|legend=1\| 7, 12, 15, 19, 22, 34, 41, 56, 75e, 97, 131e }}		{{Optimal ET sequence\|legend=1\| 7, 12, 15, 19, 22, 34, 41, 56, 75e, 97, 131e }}

FloraC: Switch to Sintel's badness, WE & CWE tunings, per community consensus

2025-10-12T11:27:17Z

Switch to Sintel's badness, WE & CWE tunings, per community consensus

← Older revision		Revision as of 11:27, 12 October 2025
Line 1:		Line 1:
	{{Technical data page}}		{{Technical data page}}
	The '''ptolemismic clan''' of [[~~Rank~~-3 temperament\|rank-3]] [[regular temperament\|temperament]]s [[tempering out\|tempers out]] the ptolemisma, [[100/99]].		The '''ptolemismic clan''' of [[rank-3 temperament\|rank-3]] [[regular temperament\|temperament]]s [[tempering out\|tempers out]] the ptolemisma, [[100/99]].

	Strong extensions are apollo, keemic, thrasher, and ares, considered below. Discussed elsewhere are:		Strong extensions are apollo, keemic, thrasher, and ares, considered below. Discussed elsewhere are:
Line 17:		Line 17:

	{{Mapping\|legend=2\| 1 0 0 2 \| 0 1 0 -2 \| 0 0 1 2 }}		{{Mapping\|legend=2\| 1 0 0 2 \| 0 1 0 -2 \| 0 0 1 2 }}
			: mapping generators: ~2, ~3, ~5

	[[Optimal tuning]] ([[POTE]]): ~2 = ~~1\1~~, ~3/2 = 704.9532, ~5/4 = 384.0675		[[Optimal tuning]]s:
			* [[WE]]: ~2 = 1199.2633{{c}}, ~3/2 = 704.5205{{c}}, ~5/4 = 383.8317{{c}}
			: [[error map]]: {{val\| -0.737 +1.829 -3.955 +4.358 }}
			* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 704.4751{{c}}, ~5/4 = 383.0756{{c}}
			: error map: {{val\| 0.000 +2.520 -3.238 +5.883 }}
			<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 704.9532{{c}}, ~5/4 = 384.0675{{c}} -->

	{{Optimal ET sequence\|legend=1\| 7, 12, 15, 19, 22, 34, 41, 56, 75e, 97, 131e }}		{{Optimal ET sequence\|legend=1\| 7, 12, 15, 19, 22, 34, 41, 56, 75e, 97, 131e }}

	[[Badness]]: 0.~~0226 × 10<sup>-3</sup>~~		[[Badness]] (Sintel): 0.187

	== Apollo ==		== Apollo ==

FloraC: +1

2025-10-12T11:00:45Z

← Older revision		Revision as of 11:00, 12 October 2025
Line 2:		Line 2:
	The '''ptolemismic clan''' of [[Rank-3 temperament\|rank-3]] [[regular temperament\|temperament]]s [[tempering out\|tempers out]] the ptolemisma, [[100/99]].		The '''ptolemismic clan''' of [[Rank-3 temperament\|rank-3]] [[regular temperament\|temperament]]s [[tempering out\|tempers out]] the ptolemisma, [[100/99]].

	Strong extensions are apollo, ~~supermagic~~, thrasher, and ares, considered below. Discussed elsewhere are:		Strong extensions are apollo, keemic, thrasher, and ares, considered below. Discussed elsewhere are:
	* ''[[Calliope]]'' (+45/44 or 81/80) → [[Didymus rank-3 family #Calliope\|Didymus rank-3 family]]		* ''[[Calliope]]'' (+45/44 or 81/80) → [[Didymus rank-3 family #Calliope\|Didymus rank-3 family]]
	* ''[[Jubilee]]'' (+50/49 or 99/98) → [[Jubilismic family #Jubilee\|Jubilismic family]]		* ''[[Jubilee]]'' (+50/49 or 99/98) → [[Jubilismic family #Jubilee\|Jubilismic family]]

FloraC: Temp rename followup

2025-10-12T10:55:11Z

Temp rename followup

← Older revision		Revision as of 10:55, 12 October 2025
Line 16:		Line 16:
	[[Comma list]]: 100/99		[[Comma list]]: 100/99

	{{~~mapping~~\|legend=2\| 1 0 0 2 \| 0 1 0 -2 \| 0 0 1 2 }}		{{Mapping\|legend=2\| 1 0 0 2 \| 0 1 0 -2 \| 0 0 1 2 }}

	[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 704.9532, ~5/4 = 384.0675		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 704.9532, ~5/4 = 384.0675
Line 27:		Line 27:
	See [[Marvel family #Apollo]].		See [[Marvel family #Apollo]].

	== ~~Supermagic~~ ==		== Keemic ==
	See [[Keemic family #~~Supermagic~~]].		See [[Keemic family #Keemic]].

	== Thrasher ==		== Thrasher ==

FloraC: Fix linking

2025-08-27T13:06:38Z

Fix linking

← Older revision		Revision as of 13:06, 27 August 2025
Line 3:		Line 3:

	Strong extensions are apollo, supermagic, thrasher, and ares, considered below. Discussed elsewhere are:		Strong extensions are apollo, supermagic, thrasher, and ares, considered below. Discussed elsewhere are:
	* ''[[Calliope]]'' (+45/44 or 81/80) → [[Didymus rank ~~three~~ family #Calliope\|Didymus rank-3 family]]		* ''[[Calliope]]'' (+45/44 or 81/80) → [[Didymus rank-3 family #Calliope\|Didymus rank-3 family]]
	* ''[[Jubilee]]'' (+50/49 or 99/98) → [[Jubilismic family #Jubilee\|Jubilismic family]]		* ''[[Jubilee]]'' (+50/49 or 99/98) → [[Jubilismic family #Jubilee\|Jubilismic family]]
	* ''[[Sonic]]'' (+55/54) → [[Porcupine rank ~~three~~ family #Sonic\|Porcupine rank-3 family]]		* ''[[Sonic]]'' (+55/54) → [[Porcupine rank-3 family #Sonic\|Porcupine rank-3 family]]
	* ''[[Nakika]]'' (+245/242) → [[Octagar family #Nakika\|Octagar family]]		* ''[[Nakika]]'' (+245/242) → [[Octagar family #Nakika\|Octagar family]]
	* ''[[Octarod]]'' (+245/243) → [[Sensamagic family #Octarod\|Sensamagic family]]		* ''[[Octarod]]'' (+245/243) → [[Sensamagic family #Octarod\|Sensamagic family]]

Lériendil: Text replacement - "Category:Temperament clans" to "Category:Temperament clans Category:Pages with mostly numerical content"

2025-06-24T00:28:40Z

Text replacement - "Category:Temperament clans" to "Category:Temperament clans Category:Pages with mostly numerical content"

← Older revision		Revision as of 00:28, 24 June 2025
Line 38:		Line 38:

	[[Category:Temperament clans]]		[[Category:Temperament clans]]
			[[Category:Pages with mostly numerical content]]
	[[Category:Ptolemismic clan\| ]] <!-- main article -->		[[Category:Ptolemismic clan\| ]] <!-- main article -->
	[[Category:Ptolemismic\| ]] <!-- key article -->		[[Category:Ptolemismic\| ]] <!-- key article -->
	[[Category:Rank 3]]		[[Category:Rank 3]]

BudjarnLambeth: {{Technical data page}}

2025-04-13T14:26:13Z

← Older revision		Revision as of 14:26, 13 April 2025
Line 1:		Line 1:
			{{Technical data page}}
	The '''ptolemismic clan''' of [[Rank-3 temperament\|rank-3]] [[regular temperament\|temperament]]s [[tempering out\|tempers out]] the ptolemisma, [[100/99]].		The '''ptolemismic clan''' of [[Rank-3 temperament\|rank-3]] [[regular temperament\|temperament]]s [[tempering out\|tempers out]] the ptolemisma, [[100/99]].

Lériendil: /* Ares */

2024-09-07T23:35:52Z

Ares

← Older revision		Revision as of 23:35, 7 September 2024
Line 33:		Line 33:

	== Ares ==		== Ares ==
	{{Main\| ~~Archytas_and_ares~~ }}		{{Main\| Archytas and ares }}
	See [[Archytas family #Ares]].		See [[Archytas family #Ares]].

← Older revision		Revision as of 13:06, 27 August 2025
Line 3:		Line 3:

	Strong extensions are apollo, supermagic, thrasher, and ares, considered below. Discussed elsewhere are:		Strong extensions are apollo, supermagic, thrasher, and ares, considered below. Discussed elsewhere are:
	* ''[[Calliope]]'' (+45/44 or 81/80) → [[Didymus rank ~~three~~ family #Calliope\|Didymus rank-3 family]]		* ''[[Calliope]]'' (+45/44 or 81/80) → [[Didymus rank-3 family #Calliope\|Didymus rank-3 family]]
	* ''[[Jubilee]]'' (+50/49 or 99/98) → [[Jubilismic family #Jubilee\|Jubilismic family]]		* ''[[Jubilee]]'' (+50/49 or 99/98) → [[Jubilismic family #Jubilee\|Jubilismic family]]
	* ''[[Sonic]]'' (+55/54) → [[Porcupine rank ~~three~~ family #Sonic\|Porcupine rank-3 family]]		* ''[[Sonic]]'' (+55/54) → [[Porcupine rank-3 family #Sonic\|Porcupine rank-3 family]]
	* ''[[Nakika]]'' (+245/242) → [[Octagar family #Nakika\|Octagar family]]		* ''[[Nakika]]'' (+245/242) → [[Octagar family #Nakika\|Octagar family]]
	* ''[[Octarod]]'' (+245/243) → [[Sensamagic family #Octarod\|Sensamagic family]]		* ''[[Octarod]]'' (+245/243) → [[Sensamagic family #Octarod\|Sensamagic family]]