Arcturus hendecatonic notation: Difference between revisions

'''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, unless it is extremely inaccurate (as is the case in some very small EDTs) and does not generate a 2L 9s⟨3/1⟩ scale. Most of the generators for larger EDTs are tunings for Arcturus temperament, but some fall sharp or flat analogous

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 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.

{|class="wikitable article-table"

!Steps

!Absolute notation

!Relative notation

|0

|C

|perfect 0-step

|1

|D

|perfect 1-step

|-

|2

|E

|perfect 2-step

|-

|3

|F

|perfect 3-step

|-

{|class="wikitable article-table"

!Steps

!Absolute notation

!Relative notation

|0

|C

|perfect 0-step

|1

|Db

|minor 1-step

|D

|major 1-step

|-

|3

|E

|major 2-step

|-

|4

|F

|major 3-step

|-

|5

|major 8-step

|11

|12

|B

|major 10-step

|13

|C

|perfect 11-step