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 | '''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 | ||
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: | |||
{|class="wikitable article-table" | |||
|- | |||
!Steps | |||
!Absolute notation | |||
!Relative notaiton | |||
|- | |||
|0 | |||
|C | |||
|perfect 0-step | |||
|- | |||
|1 | |||
|Db | |||
|minor 1-step | |||
- | |||
|2 | |||
|D | |||
|major 1-step | |||
|- | |||
|3 | |||
|E | |||
|major 2-step | |||
|- | |||
|4 | |||
|F | |||
|major 3-step | |||
|- | |||
|5 | |||
|G | |||
|major 4-step | |||
|- | |||
|6 | |||
|H | |||
|perfect 5-step | |||
|- | |||
|7 | |||
|J | |||
|perfect 6-step | |||
|- | |||
|8 | |||
|Lb | |||
|minor 7-step | |||
|- | |||
|9 | |||
|L | |||
|major 7-step | |||
|- | |||
|10 | |||
|A | |||
|major 8-step | |||
|- | |||
|11 | |||
|B | |||
|major 9-step | |||
|- | |||
|12 | |||
|C | |||
|perfect 12-step | |||
|} | |||
The chord 3:5:7 is notated as C - H - L (P0 - P5 - M8). To notate larger EDTs such as [[15edt]], this notation can be combined with [[ups and downs notation]], with ^/v accidentals raising and lowering by 1 EDTstep: | |||
Revision as of 03:23, 7 June 2023
Arcturus hendecatonic notation is a 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. The 5/3 generator connects this scale to the 3.5 subgroup (as well as Arcturus temperament), similar to how the diatonic scale is connected to the 3-limit. The preferred generator for the scale is the patent val 5/3, unless it is outside
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:
| Steps | Absolute notation | Relative notaiton | |||
|---|---|---|---|---|---|
| 0 | C | perfect 0-step | |||
| 1 | Db | minor 1-step
- |
2 | D | major 1-step |
| 3 | E | major 2-step | |||
| 4 | F | major 3-step | |||
| 5 | G | major 4-step | |||
| 6 | H | perfect 5-step | |||
| 7 | J | perfect 6-step | |||
| 8 | Lb | minor 7-step | |||
| 9 | L | major 7-step | |||
| 10 | A | major 8-step | |||
| 11 | B | major 9-step | |||
| 12 | C | perfect 12-step |
The chord 3:5:7 is notated as C - H - L (P0 - P5 - M8). To notate larger EDTs such as 15edt, this notation can be combined with ups and downs notation, with ^/v accidentals raising and lowering by 1 EDTstep: