Unidec - Revision history

FloraC: + infobox

2026-03-26T13:27:57Z

+ infobox

← Older revision		Revision as of 13:27, 26 March 2026
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			{{Infobox regtemp
			\| Title = Unidec
			\| Subgroups = 2.3.5.7, 2.3.5.7.11
			\| Comma basis = [[1029/1024]], [[4375/4374]] (7-limit); <br>[[385/384]], [[441/440]], [[4375/4374]] (11-limit)
			\| Edo join 1 = 26 \| Edo join 2 = 46
			\| Mapping = 2; 6 11 -2 -3
			\| Generators = 14/11 \| Generators tuning = 416.9 \| Optimization method = CWE
			\| MOS scales = [[6L 2s]], [[6L 8s]], [[6L 14s]], [[20L 6s]]
			\| Odd limit 1 = 9 \| Mistuning 1 = 2.41 \| Complexity 1 = 46
			\| Odd limit 2 = 11-limit 21 \| Mistuning 2 = 2.95 \| Complexity 2 = 46
			}}
	'''Unidec''' is a [[regular temperament\|temperament]] [[generator\|generated]] by a wide major third representing [[80/63]] which can be taken as [[14/11]] from the [[11-limit]] onwards. Two generators minus a [[semi-octave]] [[period]] make a [[~]][[8/7]], and three ~8/7's make a perfect fifth of [[3/2]], [[tempering out]] [[1029/1024]], the gamelisma, and [[4375/4374]], the ragisma, with the 11-limit [[extension]] adding [[385/384]] or [[441/440]] to the comma list.		'''Unidec''' is a [[regular temperament\|temperament]] [[generator\|generated]] by a wide major third representing [[80/63]] which can be taken as [[14/11]] from the [[11-limit]] onwards. Two generators minus a [[semi-octave]] [[period]] make a [[~]][[8/7]], and three ~8/7's make a perfect fifth of [[3/2]], [[tempering out]] [[1029/1024]], the gamelisma, and [[4375/4374]], the ragisma, with the 11-limit [[extension]] adding [[385/384]] or [[441/440]] to the comma list.

FloraC: + interval chain

2025-11-19T12:55:42Z

+ interval chain

@@ Line 1: / Line 1: @@
-'''Unidec''' is a [[regular temperament|temperament]] [[generator|generated]] by a wide major third representing [[80/63]] which can be taken as [[14/11]] from the 11-limit onwards. Two generators minus a [[semi-octave]] [[period]] make a [[~]][[8/7]], and three ~8/7's make a perfect fifth of [[3/2]], [[tempering out]] [[1029/1024]], the gamelisma, and [[4375/4374]], the ragisma, with the [[11-limit]] [[extension]] adding [[385/384]] or [[441/440]] to the comma list.
+'''Unidec''' is a [[regular temperament|temperament]] [[generator|generated]] by a wide major third representing [[80/63]] which can be taken as [[14/11]] from the [[11-limit]] onwards. Two generators minus a [[semi-octave]] [[period]] make a [[~]][[8/7]], and three ~8/7's make a perfect fifth of [[3/2]], [[tempering out]] [[1029/1024]], the gamelisma, and [[4375/4374]], the ragisma, with the 11-limit [[extension]] adding [[385/384]] or [[441/440]] to the comma list.
-Unidec has two viable 13-limit extensions: '''hendec''' and '''ekadash'''.
+Unidec has two viable 13-limit extensions: hendec and ekadash, discussed in [[Unidec extensions]].
 See [[Gamelismic clan #Unidec]] for technical data.
 == Chords and harmony ==

FloraC: /* Tunings */ + basic norm-based tunings

2025-11-16T13:36:55Z

Tunings: + basic norm-based tunings

@@ Line 12: / Line 12: @@
 == Tunings ==
 === Tuning spectrum ===
 {| class="wikitable center-all left-3"

FloraC: Rework on intro

2025-11-16T13:32:10Z

Rework on intro

← Older revision		Revision as of 13:32, 16 November 2025
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	'''Unidec''' is ~~the~~ [[regular temperament]] ~~defined in~~ the 7-limit by [[tempering out]] [[1029/1024]], the gamelisma, and [[4375/4374]], the ragisma, with the 11-limit extension adding [[385/384]] or [[441/440]] to the comma list~~, featuring a period of a semioctave and a generator of a classic whole tone~~.		'''Unidec''' is a [[regular temperament\|temperament]] [[generator\|generated]] by a wide major third representing [[80/63]] which can be taken as [[14/11]] from the 11-limit onwards. Two generators minus a [[semi-octave]] [[period]] make a [[~]][[8/7]], and three ~8/7's make a perfect fifth of [[3/2]], [[tempering out]] [[1029/1024]], the gamelisma, and [[4375/4374]], the ragisma, with the [[11-limit]] [[extension]] adding [[385/384]] or [[441/440]] to the comma list.

	Unidec has two viable 13-limit extensions: '''hendec''' and '''ekadash'''.		Unidec has two viable 13-limit extensions: '''hendec''' and '''ekadash'''.

FloraC: /* Tunings */ invert the gen and simplify the ratios

2025-11-16T13:26:29Z

Tunings: invert the gen and simplify the ratios

← Older revision		Revision as of 13:26, 16 November 2025
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	! Comments		! Comments
	\|-		\|-
	\| 16/13		\| 13/12
	\| ~~179~~.~~736~~		\| 415.357
	\|		\|
	\|-		\|-
	\| 14/13		\| 7/4
	\| ~~182~~.~~075~~		\| 415.587
	\|		\|
	\|-		\|-
	\| 13/11		\| 13/10
	\| ~~182~~.~~158~~		\| 416.198
	\|		\|
	\|-		\|-
	\| 10/9		\| 11/8
	\| ~~182~~.~~404~~		\| 416.227
	\|		\|
	\|-		\|-
	\| 14/11		\| 13/9
	\| ~~182~~.~~492~~		\| 416.338
	\|		\|
	\|-		\|-
	\| 4/3		\| 15/13
	\| ~~183~~.~~007~~		\| 416.516
	\|		\|
	\|-		\|-
	\| 16/15		\| 7/6
	\| ~~183~~.~~043~~		\| 416.641
	\|		\|
	\|-		\|-
	\| 5/4		\| 7/5
	\| ~~183~~.~~062~~		\| 416.730
	\| ~~5-, 13- and 15~~-odd-limit minimax		\| 7-odd-limit minimax
	\|-		\|-
	\| 6/5		\| 11/6
	\| ~~183~~.~~128~~		\| 416.737
	\|		\|
	\|-		\|-
	\| 15/11		\| 11/10
	\| ~~183~~.~~152~~		\| 416.785
	\|		\|
	\|-		\|-
	\| 11/9		\| 9/7
	\| ~~183~~.~~161~~		\| 416.792
	\|		\| 9- and 11-odd-limit minimax
	\|-		\|-
	\| 15/14		\| 15/14
	\| ~~183~~.~~187~~		\| 416.813
	\|		\|
	\|-		\|-
	\| 9/7		\| 11/9
	\| ~~183~~.~~208~~		\| 416.839
	\| ~~9- and 11-odd-limit minimax~~		\|
	\|-		\|-
	\| 11~~/10~~		\| 15/11
	\| ~~183~~.~~215~~		\| 416.848
	\|		\|
	\|-		\|-
	\| 12/11		\| 5/3
	\| ~~183~~.~~263~~		\| 416.872
	\|		\|
	\|-		\|-
	\| 7/5		\| 5/4
	\| ~~183~~.~~270~~		\| 416.938
	\| 7-odd-limit minimax		\| 5-, 13- and 15-odd-limit minimax
	\|-		\|-
	\| 7/6		\| 15/8
	\| ~~183~~.~~359~~		\| 416.957
	\|		\|
	\|-		\|-
	\| 15/13		\| 3/2
	\| ~~183~~.~~484~~		\| 416.993
	\|		\|
	\|-		\|-
	\| 18/13		\| 11/7
	\| ~~183~~.~~662~~		\| 417.508
	\|		\|
	\|-		\|-
	\| 11/8		\| 9/5
	\| ~~183~~.~~773~~		\| 417.596
	\|		\|
	\|-		\|-
	\| 13/10		\| 13/11
	\| ~~183~~.~~802~~		\| 417.842
	\|		\|
	\|-		\|-
	\| 8/7		\| 13/7
	\| ~~184~~.~~413~~		\| 417.925
	\|		\|
	\|-		\|-
	\| 13/12		\| 13/8
	\| ~~184~~.~~643~~		\| 420.264
	\|		\|
	\|}		\|}

FloraC: Cleanup

2025-11-16T13:19:58Z

Cleanup

← Older revision		Revision as of 13:19, 16 November 2025
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	'''Unidec''' is the [[regular temperament]] defined in the 7-limit by [[tempering out]] [[1029/1024]], the gamelisma, and [[4375/4374]], the ragisma, with the 11-limit extension adding [[385/384]] or [[441/440]] to the comma list, featuring a period of a semioctave and a generator of a classic whole tone.		'''Unidec''' is the [[regular temperament]] defined in the 7-limit by [[tempering out]] [[1029/1024]], the gamelisma, and [[4375/4374]], the ragisma, with the 11-limit extension adding [[385/384]] or [[441/440]] to the comma list, featuring a period of a semioctave and a generator of a classic whole tone.

	~~There are~~ two viable 13-limit extensions: '''hendec''' and '''ekadash'''.		Unidec has two viable 13-limit extensions: '''hendec''' and '''ekadash'''.

	See [[Gamelismic clan #Unidec]] for technical ~~details~~.		See [[Gamelismic clan #Unidec]] for technical data.

	== Chords ==		== Chords and harmony ==
	{{~~main~~\| Chords of unidec }}		{{See also\| Chords of unidec }}

	== Scales ==		== Scales ==
	* [[Unidec26]]		* [[Unidec26]]

	== Tuning spectrum ==		== Tunings ==
	{\| class="wikitable center-all"		=== Tuning spectrum ===
			{\| class="wikitable center-all left-3"
	\|-		\|-
	! [[~~eigenmonzo~~\|~~eigenmonzo~~<br>(unchanged interval)]]		! [[Eigenmonzo\|Eigenmonzo<br>(unchanged interval)]]
	! Generator (¢)		! Generator (¢)
	! Comments		! Comments
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	== Music ==		== Music ==
	* [[Technical Notes for Newbeams #Hypnocloudsmack 2\|Hypnocloudsmack 2]] ~~by [[Andrew Heathwaite]]~~		; [[Andrew Heathwaite]]
			* "[[Technical Notes for Newbeams #Hypnocloudsmack 2\|Hypnocloudsmack 2]]" from ''Newbeams''

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

Lériendil: Text replacement - "(unchanged-interval)" to "(unchanged interval)"

2025-06-21T06:59:25Z

Text replacement - "(unchanged-interval)" to "(unchanged interval)"

← Older revision		Revision as of 06:59, 21 June 2025
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	{\| class="wikitable center-all"		{\| class="wikitable center-all"
	\|-		\|-
	! [[eigenmonzo\|eigenmonzo<br>(unchanged-interval)]]		! [[eigenmonzo\|eigenmonzo<br>(unchanged interval)]]
	! Generator (¢)		! Generator (¢)
	! Comments		! Comments

FloraC: - parent category

2025-04-28T14:47:42Z

- parent category

← Older revision		Revision as of 14:47, 28 April 2025
Line 114:		Line 114:
	* [[Technical Notes for Newbeams #Hypnocloudsmack 2\|Hypnocloudsmack 2]] by [[Andrew Heathwaite]]		* [[Technical Notes for Newbeams #Hypnocloudsmack 2\|Hypnocloudsmack 2]] by [[Andrew Heathwaite]]

	~~[[Category:Temperaments]]~~
	[[Category:Unidec\| ]] <!-- main article -->		[[Category:Unidec\| ]] <!-- main article -->
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
	[[Category:Gamelismic clan]]		[[Category:Gamelismic clan]]
	[[Category:Ragismic microtemperaments]]		[[Category:Ragismic microtemperaments]]

Lériendil at 00:06, 20 April 2025

2025-04-20T00:06:55Z

← Older revision		Revision as of 00:06, 20 April 2025
Line 116:		Line 116:
	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Unidec\| ]] <!-- main article -->		[[Category:Unidec\| ]] <!-- main article -->
			[[Category:Rank-2 temperaments]]
	[[Category:Gamelismic clan]]		[[Category:Gamelismic clan]]
	[[Category:Ragismic microtemperaments]]		[[Category:Ragismic microtemperaments]]

Cmloegcmluin: unchanged interval → unchanged-interval

2023-05-05T23:40:41Z

unchanged interval → unchanged-interval

← Older revision		Revision as of 23:40, 5 May 2023
Line 14:		Line 14:
	{\| class="wikitable center-all"		{\| class="wikitable center-all"
	\|-		\|-
	! [[eigenmonzo\|eigenmonzo<br>(unchanged interval)]]		! [[eigenmonzo\|eigenmonzo<br>(unchanged-interval)]]
	! Generator (¢)		! Generator (¢)
	! Comments		! Comments