Arcturus hendecatonic notation: Difference between revisions

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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.

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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.