The Jacobins - Revision history

BudjarnLambeth: /* Barton */ + Scott Dakota rediscovered this same temperament in 2025 and named it "hem"{{idio}}.

2025-10-02T04:31:07Z

Barton: + Scott Dakota rediscovered this same temperament in 2025 and named it "hem"{{idio}}.

← Older revision		Revision as of 04:31, 2 October 2025
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	{{See also\| Chromatic pairs #Barton }}		{{See also\| Chromatic pairs #Barton }}

	Barton may be described as the 11 & 13 temperament in the 2.5.11.13 subgroup. It was named after [[Jacob Barton]] by [[Gene Ward Smith]] and [[Carl Lumma]] in 2006<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_14632.html Yahoo! Tuning Group \| "father" variant?]</ref>.		Barton may be described as the 11 & 13 temperament in the 2.5.11.13 subgroup. It was named after [[Jacob Barton]] by [[Gene Ward Smith]] and [[Carl Lumma]] in 2006<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_14632.html Yahoo! Tuning Group \| "father" variant?]</ref>. [[Scott Dakota]] rediscovered this same temperament in 2025 and named it "hem"{{idio}}.

	[[Subgroup]]: 2.5.11.13		[[Subgroup]]: 2.5.11.13

FloraC: Text replacement - "{{Technical data page}}

" to "{{Technical data page}}"

2025-04-13T13:43:00Z

Text replacement - "{{Technical data page}}<br><br>" to "{{Technical data page}}"

← Older revision		Revision as of 13:43, 13 April 2025
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	{{Technical data page}}~~<br><br>~~		{{Technical data page}}
	'''The Jacobins''' is a collection of microtemperaments of different ranks which all temper out the jacobin comma, [[6656/6655]].		'''The Jacobins''' is a collection of microtemperaments of different ranks which all temper out the jacobin comma, [[6656/6655]].

BudjarnLambeth: {{Technical data page}}

2025-04-13T06:54:00Z

{{Technical data page}}<br><br>

← Older revision		Revision as of 06:54, 13 April 2025
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			{{Technical data page}}<br><br>
	'''The Jacobins''' is a collection of microtemperaments of different ranks which all temper out the jacobin comma, [[6656/6655]].		'''The Jacobins''' is a collection of microtemperaments of different ranks which all temper out the jacobin comma, [[6656/6655]].

Lériendil at 20:54, 1 April 2025

2025-04-01T20:54:20Z

← Older revision		Revision as of 20:54, 1 April 2025
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	== Sextilimeans ==		== Sextilimeans ==
	Sextilimeans is like ~~sextilififths~~, but the fourth that is divided into 6 in ~~sextilififths~~ is tuned to a meantone fourth in the optimal tuning, or about 1/4.26-commma meantone. It should be noted, however, that this meantone fourth is not ~4/3 despite that the name may suggest so. In fact, the 3rd harmonic is not mapped in this temperament at all. It is described as the 229 & 1789 temperament.		Sextilimeans is like [[sextilifourths]], but the fourth that is divided into 6 in sextilifourths is tuned to a meantone fourth in the optimal tuning, or about 1/4.26-commma meantone. It should be noted, however, that this meantone fourth is not ~4/3 despite that the name may suggest so. In fact, the 3rd harmonic is not mapped in this temperament at all. It is described as the 229 & 1789 temperament.

	[[Subgroup]]: 2.5.7.11.13		[[Subgroup]]: 2.5.7.11.13
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	{{Optimal ET sequence\|legend=1\|1789, 2814, }} ...		{{Optimal ET sequence\|legend=1\|1789, 2814, }} ...

	== ~~Acrosextilififths~~ ==		== Acrosextilifourths ==
	Discovered by [[Aura]] and defined as the 159 & 1619 temperament, with prefix acro- denoting the fact that it's a more precise version of ~~sextilififths~~, with fourth divided into 6 parts in 1619edo just as it is in 159edo.		Discovered by [[Aura]] and defined as the 159 & 1619 temperament, with prefix acro- denoting the fact that it's a more precise version of sextilifourths, with fourth divided into 6 parts in 1619edo just as it is in 159edo.

	[[Subgroup]]: 2.3.5.7.11.13		[[Subgroup]]: 2.3.5.7.11.13

Lériendil: ported Barton from Chromatic pairs

2024-12-12T11:31:42Z

ported Barton from Chromatic pairs

@@ Line 49: / Line 49: @@
 Optimal ET sequence: {{Optimal ET sequence| 15g, 22, 37g, 39dfg, 41g, 50, 63g, 72, 111, 152f, 159, 183, 239f, 248, 270, 311, 422, 494, 581, 742, 764, 814, 1075, 1236, 1395, 1506, 2000, 2581, 2814, 2901, 3323, 3395, 8296e, 11691e, 16322ee, 17086cdeeg, 21223cdeefg }}
-=== Jacobin-naiadic ===
+== Jacobin-naiadic ==
 Since 6656/6655 is the difference between a stack of three 11/8's and 13/10, it is natural to choose a rank-2 temperament that uses 11/8 as the generator to exploit the comma. Such a mapping is realized through the fractional subgroup 2.13/10.11, which produces a basis with just one comma - namely the 6656/6655. Name given because the 13/10 interval is sometimes referred to as a "naiadic", and this name separates it from the standard diatonic framework.
@@ Line 59: / Line 59: @@
 Optimal tuning (CTE): ~16/11 = 648.608
 == Genojacobin ==

Lériendil at 11:27, 12 December 2024

2024-12-12T11:27:37Z

← Older revision		Revision as of 11:27, 12 December 2024
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	== Double bastille ==		== Double bastille ==
			{{See also\| No-threes subgroup temperaments #Bastille }}

	Described as the 1789 & 2814 temperament, and named because 2814 divided in two is 1407.		Described as the 1789 & 2814 temperament, and named because 2814 divided in two is 1407.

Lériendil: /* Pure bastille */

2024-12-12T11:27:02Z

Pure bastille

← Older revision		Revision as of 11:27, 12 December 2024
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	== Pure bastille ==		== Pure bastille ==
			{{Main\| Bastille }}

	Subgroup: 2.5.11.13		Subgroup: 2.5.11.13

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	{{Optimal ET sequence\|legend=1\|1407eff, 1789, 4985eff}}		{{Optimal ET sequence\|legend=1\|1407eff, 1789, 4985eff}}

	~~''See also: [[Bastille]]''~~

	== Double bastille ==		== Double bastille ==

Eliora: /* Eternal revolutionary */ As it turns out I made an error in reading 2.5.11.13 vs 2.3.5.7

2024-04-28T15:26:24Z

Eternal revolutionary: As it turns out I made an error in reading 2.5.11.13 vs 2.3.5.7

← Older revision		Revision as of 15:26, 28 April 2024
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	Sval mapping: [{{Val\|1 261 -159 -225}}, {{Val\|0 -535 336 473}}]		Sval mapping: [{{Val\|1 261 -159 -225}}, {{Val\|0 -535 336 473}}]

	Optimal tuning (CTE): ~2.5.11.13 {{monzo\|~~150~~ -~~30 55~~ -73}} = 580.212		Optimal tuning (CTE): ~2.5.11.13 {{monzo\|294 -46 7 -57}} = 580.212

	[[Support]]ing [[ET]]s: {{EDOs\|91, 1698, 1789, 1880, 3487, 3669, 5458, 7247}}, ...		[[Support]]ing [[ET]]s: {{EDOs\|91, 1698, 1789, 1880, 3487, 3669, 5458, 7247}}, ...

Eliora: /* Genojacobin */ not sure why the comma changed in sintel's finder but okay https://sintel.pythonanywhere.com/result?subgroup=2.5.11.13&reduce=on&weights=tenney&target=&edos=1789+%26+3395&submit_edo=submit&commas=

2024-03-02T21:53:24Z

Genojacobin: not sure why the comma changed in sintel's finder but okay https://sintel.pythonanywhere.com/result?subgroup=2.5.11.13&reduce=on&weights=tenney&target=&edos=1789+%26+3395&submit_edo=submit&commas=

← Older revision		Revision as of 21:53, 2 March 2024
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	Subgroup: 2.5.11.13		Subgroup: 2.5.11.13

	Comma list: 6656/6655, {{monzo\|~~357~~ -~~96 19~~ -54}}		Comma list: 6656/6655, {{monzo\|-177 76 -79 74}}

	Sval mapping: {{Val\|1 100 -99 -206}}, {{Val\|0 -143 150 307}}		Sval mapping: {{Val\|1 100 -99 -206}}, {{Val\|0 -143 150 307}}

BudjarnLambeth: /* Pure bastille */

2024-01-26T05:06:33Z