Arcturus hendecatonic notation: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older edit
VisualWikitext
CompactStar (talk | contribs)
autopatrolled
5,084 edits
No edit summary
ArrowHead294 (talk | contribs)
15,213 edits
mNo edit summary
 
(27 intermediate revisions by 2 users not shown)
Line 1: Line 1:
'''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 [[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). 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). 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.


{|class="wikitable article-table"
== Examples ==
[[11edt]] (equalized):
{| class="wikitable article-table"
|-
|-
!Steps
! 0
!Absolute notation
! 1
!Relative notaiton
! 2
! 3
! 4
! 5
! 6
! 7
! 8
! 9
! 10
! 11
|-
|-
|0
| C
|C
| D
|perfect 0-step
| E
| F
| G
| H
| J
| K
| L
| A
| B
| C
|-
|-
|1
| P0
|Db
| P1
|minor 1-step
| P2
| P3
| P4
| P5
| P6
| P7
| P8
| P9
| P10
| P11
|}
 
[[13edt]] (Bohlen-Pierce):
 
{| class="wikitable article-table"
|-
|-
|2
! 0
|D
! 1
|major 1-step
! 2
! 3
! 4
! 5
! 6
! 7
! 8
! 9
! 10
! 11
! 12
! 13
|-
|-
|3
| C
|E
| Db
|major 2-step
| D, Eb
| E, Fb
| F, Gb
| G, Hb
| H
| J
| J#, Kb
| K
| L, Ab
| A, Bb
| B
| C
|-
|-
|4
| P0
|F
| m1
|major 3-step
| M1, m2
|-
| M2, m3
|5
| M3, m4
|G
| M4, d5
|major 4-step
| P5
|-
| P6
|6
| A6, m7
|H
| M7
|perfect 5-step
| M8, m9
|-
| M9, m10
|7
| M10
|J
| P11
|perfect 6-step
|}
|-
 
|8
[[24edt]]:
|Lb
 
|minor 7-step
{| class="wikitable article-table"
|-
|-
|9
! 0
|L
! 1
|major 7-step
! 2
! 3
! 4
! 5
! 6
! 7
! 8
! 9
! 10
! 11
! 12
! 13
! 14
! 15
! 16
! 17
! 18
! 19
! 20
! 21
! 22
! 23
! 24
|-
|-
|10
| C
|A
| C#, Dbb
|major 8-step
| 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
|-
|-
|11
| P0
|B
| A0, d1
|major 9-step
| m1
|-
| M1
|12
| m2
|C
| M2
|perfect 10-step
| m3
| M3
| m4
| M4
| A4, d5
| P5
| A5, d6
| P6
| A6, d7
| m7
| M7
| m8
| M8
| m9
| M9
| m10
| M10
| A10, d11
| P11
|}
|}


The chord 3:5:7 is notated as C - H - L (P0 - P5 - M8). To notate larger EDTs such as [[28edt]], this notation can be combined with [[ups and downs notation]], with ^/v accidentals raising and lowering by 1 EDTstep:
{{Navbox notation}}
 
[[Category:Nonoctave]]
[[Category:Arcturus]]

Latest revision as of 18:30, 11 February 2025

Arcturus hendecatonic notation is a nonoctave notation system for EDTs and no-twos music, developed by CompactStar. It is based on the 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):

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):

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:

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


View • Talk • EditMusical notation
Universal Sagittal notation
Just intonation Functional Just System • Ben Johnston's notation (Johnston–Copper notation) • Helmholtz–Ellis notation • Color notation
MOS scales Diamond-mos notation • KISS notation (Quasi-diatonic MOS notation)
Temperaments Chain-of-fifths notation • Stein–Zimmermann–Gould notation • Ups and downs notation • Syntonic–rastmic subchroma notation • Extended meantone notation • Fractional sharp notation
See musical notation for a longer list of systems by category. See Category:Notation for the most complete, comprehensive list, but not sorted by category.
Retrieved from "https://en.xen.wiki/index.php?title=Arcturus_hendecatonic_notation&oldid=180306"