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]] based on the [[2L 9s (3/1-equivalent)|2L 9s⟨3/1⟩]] MOS with a ~[[5/3]]. The harder tunings of this scale are associated with [[Arcturus]] temperament.
'''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.
 
== Examples ==
[[11edt]] (equalized):
{| class="wikitable article-table"
|-
! 0
! 1
! 2
! 3
! 4
! 5
! 6
! 7
! 8
! 9
! 10
! 11
|-
| C
| D
| E
| F
| G
| H
| J
| K
| L
| A
| B
| C
|-
| P0
| P1
| P2
| P3
| P4
| P5
| P6
| P7
| P8
| P9
| P10
| P11
|}
 
[[13edt]] (Bohlen-Pierce):
 
{| class="wikitable article-table"
|-
! 0
! 1
! 2
! 3
! 4
! 5
! 6
! 7
! 8
! 9
! 10
! 11
! 12
! 13
|-
| C
| Db
| D, Eb
| E, Fb
| F, Gb
| G, Hb
| H
| J
| J#, Kb
| K
| L, Ab
| A, Bb
| B
| C
|-
| P0
| m1
| M1, m2
| M2, m3
| M3, m4
| M4, d5
| P5
| P6
| A6, m7
| M7
| M8, m9
| M9, m10
| M10
| P11
|}
 
[[24edt]]:
 
{| class="wikitable article-table"
|-
! 0
! 1
! 2
! 3
! 4
! 5
! 6
! 7
! 8
! 9
! 10
! 11
! 12
! 13
! 14
! 15
! 16
! 17
! 18
! 19
! 20
! 21
! 22
! 23
! 24
|-
| C
| C#, Dbb
| Db
| D
| Eb
| E
| Fb
| F
| Gb
| G
| G#, Hb
| H
| H#, Jb
| J
| J#, Kbb
| Kb
| K
| Lb
| L
| Ab
| A
| Bb
| B
| B#, Cb
| C
|-
| P0
| A0, d1
| m1
| M1
| m2
| M2
| m3
| M3
| m4
| M4
| A4, d5
| P5
| A5, d6
| P6
| A6, d7
| m7
| M7
| m8
| M8
| m9
| M9
| m10
| M10
| A10, d11
| P11
|}
 
{{Navbox notation}}
 
[[Category:Nonoctave]]
[[Category:Arcturus]]