Arcturus hendecatonic notation - Revision history

ArrowHead294 at 18:30, 11 February 2025

2025-02-11T18:30:31Z

BudjarnLambeth: {{Notation navbox}}

2024-12-03T00:00:42Z

← Older revision		Revision as of 00:00, 3 December 2024
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	\|P11		\|P11
	\|}		\|}


			{{Notation navbox}}

	[[Category:Notation]]		[[Category:Notation]]
	[[Category:Nonoctave]]		[[Category:Nonoctave]]
	[[Category:Arcturus]]		[[Category:Arcturus]]

CompactStar: simplifying the description

2023-06-13T02:04:31Z

simplifying the description

← Older revision		Revision as of 02:04, 13 June 2023
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	'''Arcturus hendecatonic notation''' is a [[nonoctave]] notation system for [[EDT]]s and no-twos music, developed by [[User:CompactStar\|CompactStar]]. It is based on the [[2L 9s (3/1-equivalent)\|2L 9s⟨3/1⟩]] MOS scale generated by approximately [[5/3]]~~. The 5/3 generator connects this MOS~~ to ~~the 3.5 subgroup and (in the soft-hard range)~~ [[Arcturus~~]] temperament, similar to how the [[5L 2s\|diatonic]] scale is connected to the [[3-limit]] and (in the equalized-basic range) [[meantone~~]] temperament. The preferred generator for a given EDT is the patent val 5/3.		'''Arcturus hendecatonic notation''' is a [[nonoctave]] notation system for [[EDT]]s and no-twos music, developed by [[User:CompactStar\|CompactStar]]. It is based on the [[2L 9s (3/1-equivalent)\|2L 9s⟨3/1⟩]] MOS scale generated by approximately [[5/3]], relating it to [[Arcturus]] temperament. The preferred generator for a given EDT is the patent val 5/3.

	The 9\|1 mode of 2L 9s⟨3/1⟩ is represented by 11 naturals CDEFGHJKLAB, and #/b accidentals are used to raise and lower by a chroma (L - s). For relative notation, the [[TAMNAMS]] convention of zero-based indices is used. Assuming Arcturus temperament where [[7/3]] is mapped to the major 8-step, the chord 3:5:7 is notated as C - H - L (P0 - P5 - M8). To notate larger EDTs, Arcturus hendecatonic notation can be combined with [[ups and downs notation]], with ^/v accidentals raising and lowering by 1 EDTstep.		The 9\|1 mode of 2L 9s⟨3/1⟩ is represented by 11 naturals CDEFGHJKLAB, and #/b accidentals are used to raise and lower by a chroma (L - s). For relative notation, the [[TAMNAMS]] convention of zero-based indices is used. Assuming Arcturus temperament where [[7/3]] is mapped to the major 8-step, the chord 3:5:7 is notated as C - H - L (P0 - P5 - M8). To notate larger EDTs, Arcturus hendecatonic notation can be combined with [[ups and downs notation]], with ^/v accidentals raising and lowering by 1 EDTstep.

CompactStar at 06:58, 7 June 2023

2023-06-07T06:58:31Z

← Older revision		Revision as of 06:58, 7 June 2023
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	[[Category:Notation]]		[[Category:Notation]]
			[[Category:Nonoctave]]
			[[Category:Arcturus]]

CompactStar at 06:58, 7 June 2023

2023-06-07T06:58:20Z

← Older revision		Revision as of 06:58, 7 June 2023
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	'''Arcturus hendecatonic notation''' is a notation system for [[EDT]]s and no-twos music, developed by [[User:CompactStar\|CompactStar]]. It is based on the [[2L 9s (3/1-equivalent)\|2L 9s⟨3/1⟩]] MOS scale generated by approximately [[5/3]]. The 5/3 generator connects this MOS to the 3.5 subgroup and (in the soft-hard range) [[Arcturus]] temperament, similar to how the [[5L 2s\|diatonic]] scale is connected to the [[3-limit]] and (in the equalized-basic range) [[meantone]] temperament. The preferred generator for a given EDT is the patent val 5/3.		'''Arcturus hendecatonic notation''' is a [[nonoctave]] notation system for [[EDT]]s and no-twos music, developed by [[User:CompactStar\|CompactStar]]. It is based on the [[2L 9s (3/1-equivalent)\|2L 9s⟨3/1⟩]] MOS scale generated by approximately [[5/3]]. The 5/3 generator connects this MOS to the 3.5 subgroup and (in the soft-hard range) [[Arcturus]] temperament, similar to how the [[5L 2s\|diatonic]] scale is connected to the [[3-limit]] and (in the equalized-basic range) [[meantone]] temperament. The preferred generator for a given EDT is the patent val 5/3.

	The 9\|1 mode of 2L 9s⟨3/1⟩ is represented by 11 naturals CDEFGHJKLAB, and #/b accidentals are used to raise and lower by a chroma (L - s). For relative notation, the [[TAMNAMS]] convention of zero-based indices is used. Assuming Arcturus temperament where [[7/3]] is mapped to the major 8-step, the chord 3:5:7 is notated as C - H - L (P0 - P5 - M8). To notate larger EDTs, Arcturus hendecatonic notation can be combined with [[ups and downs notation]], with ^/v accidentals raising and lowering by 1 EDTstep.		The 9\|1 mode of 2L 9s⟨3/1⟩ is represented by 11 naturals CDEFGHJKLAB, and #/b accidentals are used to raise and lower by a chroma (L - s). For relative notation, the [[TAMNAMS]] convention of zero-based indices is used. Assuming Arcturus temperament where [[7/3]] is mapped to the major 8-step, the chord 3:5:7 is notated as C - H - L (P0 - P5 - M8). To notate larger EDTs, Arcturus hendecatonic notation can be combined with [[ups and downs notation]], with ^/v accidentals raising and lowering by 1 EDTstep.

CompactStar at 06:44, 7 June 2023

2023-06-07T06:44:28Z

← Older revision		Revision as of 06:44, 7 June 2023
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	\|-		\|-
	\|C		\|C
	\|~~C#,~~ Db		\|Db
	\|D, Eb		\|D, Eb
	\|E, Fb		\|E, Fb
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	\|L, Ab		\|L, Ab
	\|A, Bb		\|A, Bb
	\|B~~, Cb~~		\|B
	\|C		\|C
	\|-		\|-
	\|P0		\|P0
	\|~~A0,~~ m1		\|m1
	\|M1, m2		\|M1, m2
	\|M2, m3		\|M2, m3
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	\|M8, m9		\|M8, m9
	\|M9, m10		\|M9, m10
	\|M10~~, d11~~		\|M10
	\|P11		\|P11
	\|}		\|}

CompactStar at 06:42, 7 June 2023

2023-06-07T06:42:54Z

← Older revision		Revision as of 06:42, 7 June 2023
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	\|-		\|-
	\|C		\|C
	\|Db		\|C#, Db
	\|D		\|D, Eb
	\|E		\|E, Fb
	\|F		\|F, Gb
	\|G		\|G, Hb
	\|H		\|H
	\|J		\|J
	\|Kb		\|J#, Kb
	\|K		\|K
	\|L		\|L, Ab
	\|A		\|A, Bb
	\|B		\|B, Cb
	\|C		\|C
	\|-		\|-
	\|P0		\|P0
	\|m1		\|A0, m1
	\|M1		\|M1, m2
	\|M2		\|M2, m3
	\|M3		\|M3, m4
	\|M4		\|M4, d5
	\|P5		\|P5
	\|P6		\|P6
	\|m7		\|A6, m7
	\|M7		\|M7
	\|M8		\|M8, m9
	\|M9		\|M9, m10
	\|M10		\|M10, d11
	\|P11		\|P11
	\|}		\|}

CompactStar at 06:39, 7 June 2023

2023-06-07T06:39:52Z

← Older revision		Revision as of 06:39, 7 June 2023
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	!2		!2
	!3		!3
	14		!4
	!5		!5
	!6		!6

CompactStar at 06:39, 7 June 2023

2023-06-07T06:39:46Z

← Older revision		Revision as of 06:39, 7 June 2023
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	{\|class="wikitable article-table"		{\|class="wikitable article-table"
	\|-		\|-
	\|0		!0
	\|1		!1
	\|2		!2
	\|3		!3
	\|4		14
	\|5		!5
	\|6		!6
	\|7		!7
	\|8		!8
	\|9		!9
	\|10		!10
	\|11		!11
	\|-		\|-
	\|C		\|C
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	{\|class="wikitable article-table"		{\|class="wikitable article-table"
	\|-		\|-
	\|0		!0
	\|1		!1
	\|2		!2
	\|3		!3
	\|4		!4
	\|5		!5
	\|6		!6
	\|7		!7
	\|8		!8
	\|9		!9
	\|10		!10
	\|11		!11
	\|12		!12
	\|13		!13
	\|-		\|-
	\|C		\|C
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	{\|class="wikitable article-table"		{\|class="wikitable article-table"
	\|-		\|-
	\|0		!0
	\|1		!1
	\|2		!2
	\|3		!3
	\|4		!4
	\|5		!5
	\|6		!6
	\|7		!7
	\|8		!8
	\|9		!9
	\|10		!10
	\|11		!11
	\|12		!12
	\|13		!13
	\|14		!14
	\|15		!15
	\|16		!16
	\|17		!17
	\|18		!18
	\|19		!19
	\|20		!20
	\|21		!21
	\|22		!22
	\|23		!23
	\|24		!24
	\|-		\|-
	\|C		\|C

CompactStar: Compactify examples

2023-06-07T06:38:48Z

Compactify examples

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