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 scale to the 3.5 subgroup (as well as [[Arcturus]] temperament), similar to how the [[5L 2s|diatonic]] scale is connected to the [[3-limit]]. The preferred generator for the scale is the patent val 5/3, unless it is ~~outside~~

'''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 scale to the 3.5 subgroup (as well as [[Arcturus]] temperament), similar to how the [[5L 2s|diatonic]] scale is connected to the [[3-limit]]. The preferred generator for the scale is the patent val 5/3, unless it is extremely inaccurate (as is the case in some very small EDTs) and does not generate a 2L 9s⟨3/1⟩ scale.

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). We assume the [[TAMNAMS]] convention of zero-based indices for relative notation. ~~Thus~~, the [[13edt]] (Bohlen-Pierce) gamut is as follows:

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). We assume the [[TAMNAMS]] convention of zero-based indices for relative notation. Assuming Arcturus temperament where [[7/3]] is mapped to the perfect 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.

== Examples ==

The [[13edt]] (Bohlen-Pierce) gamut is as follows:

{|class="wikitable article-table"

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|perfect 11-step

|}

Assuming Arcturus temperament where [[7/3]] is mapped to the perfect 8-step, the chord 3:5:7 is notated as C - H - L (P0 - P5 - M8). To notate larger EDTs, this 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 scale to the 3.5 subgroup (as well as [[Arcturus]] temperament), similar to how the [[5L 2s|diatonic]] scale is connected to the [[3-limit]].  The preferred generator for the scale is the patent val 5/3, unless it is outside
+'''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 scale to the 3.5 subgroup (as well as [[Arcturus]] temperament), similar to how the [[5L 2s|diatonic]] scale is connected to the [[3-limit]].  The preferred generator for the scale is the patent val 5/3, unless it is extremely inaccurate (as is the case in some very small EDTs) and does not generate a 2L 9s⟨3/1⟩ scale.
-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). We assume the [[TAMNAMS]] convention of zero-based indices for relative notation. Thus, the [[13edt]] (Bohlen-Pierce) gamut is as follows:
+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). We assume the [[TAMNAMS]] convention of zero-based indices for relative notation.  Assuming Arcturus temperament where [[7/3]] is mapped to the perfect 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.
+== Examples ==
+The [[13edt]] (Bohlen-Pierce) gamut is as follows:
 {|class="wikitable article-table"
@@ Line 65: / Line 68: @@
 |perfect 11-step
 |}
-Assuming Arcturus temperament where [[7/3]] is mapped to the perfect 8-step, the chord 3:5:7 is notated as C - H - L (P0 - P5 - M8). To notate larger EDTs, this notation can be combined with [[ups and downs notation]], with ^/v accidentals raising and lowering by 1 EDTstep.