Sirius - Revision history

Xenllium at 07:48, 8 March 2026

2026-03-08T07:48:00Z

← Older revision		Revision as of 07:48, 8 March 2026
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	'''Sirius''' is a no-twos temperament which tempers out the gariboh comma, [[3125/3087]] (also known as major BP diesis).		'''Sirius''' is a no-twos temperament which tempers out the gariboh comma, [[3125/3087]] (also known as major BP diesis).

	See [[Gariboh clan#Sirius]] for technical data.		See [[Gariboh clan #Sirius]] and [[No-twos subgroup temperaments #Sirius]] for technical data.

	== ~~Edts~~ compatible with the Sirius triskaidecatonic scale ==		== EDTs compatible with the Sirius triskaidecatonic scale ==
	The Sirius [[MOS]] families of [[6L 7s]] and 6L 7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 [[pentad]], and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" [[diatonic scale]]. Below is a list of the equal-temperaments which contain a [[6L 1s]] scale using [[generator]]s between 271.7 [[cents]] and 317.0 cents.		The Sirius [[MOS]] families of [[6L 7s]] and 6L 7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 [[pentad]], and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" [[diatonic scale]]. Below is a list of the equal-temperaments which contain a [[6L 1s]] scale using [[generator]]s between 271.7 [[cents]] and 317.0 cents.

	L=1 s=0 [[6edt\|6]] and [[7edt\|7]] edt		* L=1 s=0 [[6edt\|6]] and [[7edt\|7]] edt
			* L=1 s=1 [[13edt\|13 edt]]
	L=1 s=1 [[13edt\|13 edt]]		* L=2 s=1 [[19edt\|19]] (~[[12edo]]) and [[20edt\|20]]
			* L=3 s=1 [[25edt\|25]] and [[27edt\|27]] (~[[17edo]])
	L=2 s=1 [[19edt\|19]] (~[[12edo]]) and [[20edt\|20]]		* L=3 s=2 [[32edt\|32]] and [[33edt\|33]] (~[[21edo]])
			* L=4 s=1 [[31edt\|31]] and [[34edt\|34]]
	L=3 s=1 [[25edt\|25]] and [[27edt\|27]] (~[[17edo]])		* L=4 s=3 [[45edt\|45]] and [[46edt\|46]] (~[[29edo]])
			* L=5 s=1 [[37edt\|37]] and [[41edt\|41]]
	L=3 s=2 [[32edt\|32]] and [[33edt\|33]] (~[[21edo]])		* L=5 s=2 [[44edt\|44]] and [[47edt\|47]]
			* L=5 s=3 [[51edt\|51]] (~[[32edo]]) and [[53edt\|53]]
	L=4 s=1 [[31edt\|31]] and [[34edt\|34]]		* L=5 s=4 [[58edt\|58]] and [[59edt\|59]] (~[[37edo]])
			* L=6 s=1 [[43edt\|43]] (~[[27edo]]) and [[48edt\|48]]
	L=4 s=3 [[45edt\|45]] and [[46edt\|46]] (~[[29edo]])		* L=6 s=5 [[71edt\|71]] and [[72edt\|72]]
			* L=7 s=1 [[49edt\|49]] (~[[31edo]]) and [[55edt\|55]]
	L=5 s=1 [[37edt\|37]] and [[41edt\|41]]		* L=7 s=2 [[56edt\|56]] and [[61edt\|61]]
			* L=7 s=3 [[63edt\|63]] (~[[40edo]]) and [[67edt\|67]] (~[[42edo]])
	L=5 s=2 [[44edt\|44]] and [[47edt\|47]]		* L=7 s=4 [[64edt\|64]] and [[68edt\|68]] (~[[43edo]])
			* L=7 s=5 [[77edt\|77]] and [[79edt\|79]] (~[[50edo]])
	L=5 s=3 [[51edt\|51]] (~[[32edo]]) and [[53edt\|53]]		* L=7 s=6 [[84edt\|84]] (~[[53edo]]) and [[85edt\|85]]

	L=5 s=4 [[58edt\|58]] and [[59edt\|59]] (~[[37edo]])

	L=6 s=1 [[43edt\|43]] (~[[27edo]]) and [[48edt\|48]]

	L=6 s=5 [[71edt\|71]] and [[72edt\|72]]

	L=7 s=1 [[49edt\|49]] (~[[31edo]]) and [[55edt\|55]]

	L=7 s=2 [[56edt\|56]] and [[61edt\|61]]

	L=7 s=3 [[63edt\|63]] (~[[40edo]]) and [[67edt\|67]] (~[[42edo]])

	L=7 s=4 [[64edt\|64]] and [[68edt\|68]] (~[[43edo]])

	L=7 s=5 [[77edt\|77]] and [[79edt\|79]] (~[[50edo]])

	L=7 s=6 [[84edt\|84]] (~[[53edo]]) and [[85edt\|85]]

	[For what it's worth, as [[6edt]] and [[7edt]] are comparable to [[5edo]] and [[7edo]], then the "counterparts" of [[Blackwood]] and [[Whitewood]] would be found in multiples therein and would be [[Category:12-tone scales\|dodecatonic]] and [[Category:14-tone scales\|tetradecatonic]], eg. [[18edt]] and [[21edt]].]		[For what it's worth, as [[6edt]] and [[7edt]] are comparable to [[5edo]] and [[7edo]], then the "counterparts" of [[Blackwood]] and [[Whitewood]] would be found in multiples therein and would be [[Category:12-tone scales\|dodecatonic]] and [[Category:14-tone scales\|tetradecatonic]], eg. [[18edt]] and [[21edt]].]
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	\|-		\|-
	! colspan="7" \| Generator		! colspan="7" \| Generator
	! Cents<br />Hekts		! Cents <br>Hekts
	! L		! L
	! s		! s
Line 78:		Line 60:
	\|		\|
	\|		\|
	\| colspan="2" \| 316.99<br />216.67		\| colspan="2" \| 316.99 <br>216.67
	\| 0		\| 0
	\| 633.985<br />433.33		\| 633.985 <br>433.33
	\| 950.98<br />650		\| 950.98 <br>650
	\| 1267.97<br />866.67		\| 1267.97 <br>866.67
	\|		\|
	\|-		\|-

Xenllium at 07:39, 8 March 2026

2026-03-08T07:39:59Z

@@ Line 1: / Line 1: @@
-{{URWTC}}
+{{Infobox regtemp
-Technical data: [[Gariboh clan#Sirius]]
+| Title = Sirius
 == Edts compatible with the Sirius triskaidecatonic scale ==

FloraC: Recategorize

2025-04-29T09:29:32Z

Recategorize

← Older revision		Revision as of 09:29, 29 April 2025
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	\|}		\|}

	[[Category:~~Tritave~~-~~equivalent~~ temperaments]]		[[Category:Sirius\| ]] <!-- main article -->
			[[Category:Rank-2 temperaments]]
			[[Category:Non-octave temperaments]]
	{{Todo\| review }}		{{Todo\| review }}

ArrowHead294: Clean up table

2024-11-24T10:19:15Z

Clean up table

Show changes

BudjarnLambeth: Link to tech data

2024-11-02T04:28:54Z

Link to tech data

← Older revision		Revision as of 04:28, 2 November 2024
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	{{URWTC}}		{{URWTC}}
			Technical data: [[Gariboh clan#Sirius]]

	== Edts compatible with the Sirius triskaidecatonic scale ==		== Edts compatible with the Sirius triskaidecatonic scale ==
	The Sirius [[MOS]] families of [[6L 7s\|6L+7s]] and 6L+7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 [[pentad]], and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" [[diatonic scale]]. Below is a list of the equal-temperaments which contain a [[6L 1s\|6L+1s]] scale using [[generator]]s between 271.7 [[cents]] and 317.0 cents.		The Sirius [[MOS]] families of [[6L 7s\|6L+7s]] and 6L+7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 [[pentad]], and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" [[diatonic scale]]. Below is a list of the equal-temperaments which contain a [[6L 1s\|6L+1s]] scale using [[generator]]s between 271.7 [[cents]] and 317.0 cents.

Lériendil at 00:10, 23 August 2024

2024-08-23T00:10:13Z

← Older revision		Revision as of 00:10, 23 August 2024
Line 1:		Line 1:
			{{URWTC}}
	== Edts compatible with the Sirius triskaidecatonic scale ==		== Edts compatible with the Sirius triskaidecatonic scale ==
	The Sirius [[MOS]] families of [[6L 7s\|6L+7s]] and 6L+7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 [[pentad]], and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" [[diatonic scale]]. Below is a list of the equal-temperaments which contain a [[6L 1s\|6L+1s]] scale using [[generator]]s between 271.7 [[cents]] and 317.0 cents.		The Sirius [[MOS]] families of [[6L 7s\|6L+7s]] and 6L+7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 [[pentad]], and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" [[diatonic scale]]. Below is a list of the equal-temperaments which contain a [[6L 1s\|6L+1s]] scale using [[generator]]s between 271.7 [[cents]] and 317.0 cents.

Lériendil at 07:16, 22 August 2024

2024-08-22T07:16:08Z

← Older revision		Revision as of 07:16, 22 August 2024
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	\|}		\|}

			[[Category:Tritave-equivalent temperaments]]
	{{Todo\| review }}		{{Todo\| review }}

FloraC: Fix that enormous section title

2024-01-09T11:33:20Z

Fix that enormous section title

← Older revision		Revision as of 11:33, 9 January 2024
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	=~~<span style~~=~~"font-size: 1.4em;">[[EDT]]s~~ compatible with the Sirius triskaidecatonic scale~~</span>~~=		== Edts compatible with the Sirius triskaidecatonic scale ==
	The Sirius [[MOS]] families of [[6L 7s\|6L+7s]] and 6L+7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 [[pentad]], and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" [[diatonic scale]]. Below is a list of the equal-temperaments which contain a [[6L 1s\|6L+1s]] scale using [[generator]]s between 271.7 [[cents]] and 317.0 cents.		The Sirius [[MOS]] families of [[6L 7s\|6L+7s]] and 6L+7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 [[pentad]], and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" [[diatonic scale]]. Below is a list of the equal-temperaments which contain a [[6L 1s\|6L+1s]] scale using [[generator]]s between 271.7 [[cents]] and 317.0 cents.

Line 2,840:		Line 2,840:
	\|}		\|}

	~~[[Category:todo:definition]]~~		{{Todo\| review }}

BudjarnLambeth: Added links to dead end page

2024-01-09T06:49:42Z

Added links to dead end page

← Older revision		Revision as of 06:49, 9 January 2024
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	=<span style="font-size: 1.4em;">~~EDTs~~ compatible with the Sirius triskaidecatonic scale</span>=		=<span style="font-size: 1.4em;">[[EDT]]s compatible with the Sirius triskaidecatonic scale</span>=
	The Sirius MOS families of 6L+7s and 6L+7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 pentad, and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" diatonic scale. Below is a list of the equal-temperaments which contain a 6L+1s scale using ~~generators~~ between 271.7 cents and 317.0 cents.		The Sirius [[MOS]] families of [[6L 7s\|6L+7s]] and 6L+7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 [[pentad]], and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" [[diatonic scale]]. Below is a list of the equal-temperaments which contain a [[6L 1s\|6L+1s]] scale using [[generator]]s between 271.7 [[cents]] and 317.0 cents.

	L=1 s=0 6 and 7 edt		L=1 s=0 [[6edt\|6]] and [[7edt\|7]] edt

	L=1 s=1 13 edt		L=1 s=1 [[13edt\|13 edt]]

	L=2 s=1 19 (~12edo) and 20		L=2 s=1 [[19edt\|19]] (~[[12edo]]) and [[20edt\|20]]

	L=3 s=1 25 and 27 (~17edo)		L=3 s=1 [[25edt\|25]] and [[27edt\|27]] (~[[17edo]])

	L=3 s=2 32 and 33 (~21edo)		L=3 s=2 [[32edt\|32]] and [[33edt\|33]] (~[[21edo]])

	L=4 s=1 31 and 34		L=4 s=1 [[31edt\|31]] and [[34edt\|34]]

	L=4 s=3 45 and 46 (~29edo)		L=4 s=3 [[45edt\|45]] and [[46edt\|46]] (~[[29edo]])

	L=5 s=1 37 and 41		L=5 s=1 [[37edt\|37]] and [[41edt\|41]]

	L=5 s=2 44 and 47		L=5 s=2 [[44edt\|44]] and [[47edt\|47]]

	L=5 s=3 51 (~32edo) and 53		L=5 s=3 [[51edt\|51]] (~[[32edo]]) and [[53edt\|53]]

	L=5 s=4 58 and 59 (~37edo)		L=5 s=4 [[58edt\|58]] and [[59edt\|59]] (~[[37edo]])

	L=6 s=1 43 (~27edo) and 48		L=6 s=1 [[43edt\|43]] (~[[27edo]]) and [[48edt\|48]]

	L=6 s=5 71 and 72		L=6 s=5 [[71edt\|71]] and [[72edt\|72]]

	L=7 s=1 49 (~31edo) and 55		L=7 s=1 [[49edt\|49]] (~[[31edo]]) and [[55edt\|55]]

	L=7 s=2 56 and 61		L=7 s=2 [[56edt\|56]] and [[61edt\|61]]

	L=7 s=3 63 (~40edo) and 67 (~42edo)		L=7 s=3 [[63edt\|63]] (~[[40edo]]) and [[67edt\|67]] (~[[42edo]])

	L=7 s=4 64 and 68 (~43edo)		L=7 s=4 [[64edt\|64]] and [[68edt\|68]] (~[[43edo]])

	L=7 s=5 77 and 79 (~50edo)		L=7 s=5 [[77edt\|77]] and [[79edt\|79]] (~[[50edo]])

	L=7 s=6 84 (~53edo) and 85		L=7 s=6 [[84edt\|84]] (~[[53edo]]) and [[85edt\|85]]

	[For what it's worth, as 6edt and 7edt are comparable to 5edo and 7edo, then the "counterparts" of Blackwood and Whitewood would be found in multiples therein and would be dodecatonic and tetradecatonic, eg. 18edt and 21edt.]		[For what it's worth, as [[6edt]] and [[7edt]] are comparable to [[5edo]] and [[7edo]], then the "counterparts" of [[Blackwood]] and [[Whitewood]] would be found in multiples therein and would be [[Category:12-tone scales\|dodecatonic]] and [[Category:14-tone scales\|tetradecatonic]], eg. [[18edt]] and [[21edt]].]

	{\| class="wikitable" style="text-align:center;"		{\| class="wikitable" style="text-align:center;"

Moremajorthanmajor at 17:53, 26 October 2019

2019-10-26T17:53:52Z

Show changes

← Older revision		Revision as of 07:48, 8 March 2026
Line 15:		Line 15:
	'''Sirius''' is a no-twos temperament which tempers out the gariboh comma, [[3125/3087]] (also known as major BP diesis).		'''Sirius''' is a no-twos temperament which tempers out the gariboh comma, [[3125/3087]] (also known as major BP diesis).

	See [[Gariboh clan#Sirius]] for technical data.		See [[Gariboh clan #Sirius]] and [[No-twos subgroup temperaments #Sirius]] for technical data.

	== ~~Edts~~ compatible with the Sirius triskaidecatonic scale ==		== EDTs compatible with the Sirius triskaidecatonic scale ==
	The Sirius [[MOS]] families of [[6L 7s]] and 6L 7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 [[pentad]], and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" [[diatonic scale]]. Below is a list of the equal-temperaments which contain a [[6L 1s]] scale using [[generator]]s between 271.7 [[cents]] and 317.0 cents.		The Sirius [[MOS]] families of [[6L 7s]] and 6L 7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 [[pentad]], and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" [[diatonic scale]]. Below is a list of the equal-temperaments which contain a [[6L 1s]] scale using [[generator]]s between 271.7 [[cents]] and 317.0 cents.

	L=1 s=0 [[6edt\|6]] and [[7edt\|7]] edt		* L=1 s=0 [[6edt\|6]] and [[7edt\|7]] edt
			* L=1 s=1 [[13edt\|13 edt]]
	L=1 s=1 [[13edt\|13 edt]]		* L=2 s=1 [[19edt\|19]] (~[[12edo]]) and [[20edt\|20]]
			* L=3 s=1 [[25edt\|25]] and [[27edt\|27]] (~[[17edo]])
	L=2 s=1 [[19edt\|19]] (~[[12edo]]) and [[20edt\|20]]		* L=3 s=2 [[32edt\|32]] and [[33edt\|33]] (~[[21edo]])
			* L=4 s=1 [[31edt\|31]] and [[34edt\|34]]
	L=3 s=1 [[25edt\|25]] and [[27edt\|27]] (~[[17edo]])		* L=4 s=3 [[45edt\|45]] and [[46edt\|46]] (~[[29edo]])
			* L=5 s=1 [[37edt\|37]] and [[41edt\|41]]
	L=3 s=2 [[32edt\|32]] and [[33edt\|33]] (~[[21edo]])		* L=5 s=2 [[44edt\|44]] and [[47edt\|47]]
			* L=5 s=3 [[51edt\|51]] (~[[32edo]]) and [[53edt\|53]]
	L=4 s=1 [[31edt\|31]] and [[34edt\|34]]		* L=5 s=4 [[58edt\|58]] and [[59edt\|59]] (~[[37edo]])
			* L=6 s=1 [[43edt\|43]] (~[[27edo]]) and [[48edt\|48]]
	L=4 s=3 [[45edt\|45]] and [[46edt\|46]] (~[[29edo]])		* L=6 s=5 [[71edt\|71]] and [[72edt\|72]]
			* L=7 s=1 [[49edt\|49]] (~[[31edo]]) and [[55edt\|55]]
	L=5 s=1 [[37edt\|37]] and [[41edt\|41]]		* L=7 s=2 [[56edt\|56]] and [[61edt\|61]]
			* L=7 s=3 [[63edt\|63]] (~[[40edo]]) and [[67edt\|67]] (~[[42edo]])
	L=5 s=2 [[44edt\|44]] and [[47edt\|47]]		* L=7 s=4 [[64edt\|64]] and [[68edt\|68]] (~[[43edo]])
			* L=7 s=5 [[77edt\|77]] and [[79edt\|79]] (~[[50edo]])
	L=5 s=3 [[51edt\|51]] (~[[32edo]]) and [[53edt\|53]]		* L=7 s=6 [[84edt\|84]] (~[[53edo]]) and [[85edt\|85]]

	L=5 s=4 [[58edt\|58]] and [[59edt\|59]] (~[[37edo]])

	L=6 s=1 [[43edt\|43]] (~[[27edo]]) and [[48edt\|48]]

	L=6 s=5 [[71edt\|71]] and [[72edt\|72]]

	L=7 s=1 [[49edt\|49]] (~[[31edo]]) and [[55edt\|55]]

	L=7 s=2 [[56edt\|56]] and [[61edt\|61]]

	L=7 s=3 [[63edt\|63]] (~[[40edo]]) and [[67edt\|67]] (~[[42edo]])

	L=7 s=4 [[64edt\|64]] and [[68edt\|68]] (~[[43edo]])

	L=7 s=5 [[77edt\|77]] and [[79edt\|79]] (~[[50edo]])

	L=7 s=6 [[84edt\|84]] (~[[53edo]]) and [[85edt\|85]]

	[For what it's worth, as [[6edt]] and [[7edt]] are comparable to [[5edo]] and [[7edo]], then the "counterparts" of [[Blackwood]] and [[Whitewood]] would be found in multiples therein and would be [[Category:12-tone scales\|dodecatonic]] and [[Category:14-tone scales\|tetradecatonic]], eg. [[18edt]] and [[21edt]].]		[For what it's worth, as [[6edt]] and [[7edt]] are comparable to [[5edo]] and [[7edo]], then the "counterparts" of [[Blackwood]] and [[Whitewood]] would be found in multiples therein and would be [[Category:12-tone scales\|dodecatonic]] and [[Category:14-tone scales\|tetradecatonic]], eg. [[18edt]] and [[21edt]].]
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	\|-		\|-
	! colspan="7" \| Generator		! colspan="7" \| Generator
	! Cents<br />Hekts		! Cents <br>Hekts
	! L		! L
	! s		! s
Line 78:		Line 60:
	\|		\|
	\|		\|
	\| colspan="2" \| 316.99<br />216.67		\| colspan="2" \| 316.99 <br>216.67
	\| 0		\| 0
	\| 633.985<br />433.33		\| 633.985 <br>433.33
	\| 950.98<br />650		\| 950.98 <br>650
	\| 1267.97<br />866.67		\| 1267.97 <br>866.67
	\|		\|
	\|-		\|-