11edo: Difference between revisions

11edo is the largest edo that patently alternates with an undivided 9/8 in a [[Well tempered nonet|wtn]].

11edo can be notated using ups and downs. Conventional notation, including the staff, note names, relative notation, etc. can be used in two ways. The first preserves the ''melodic'' meaning of sharp/flat, major/minor and aug/dim, in that sharp is higher pitched than flat, and major/aug is wider than minor/dim. The disadvantage to this approach is that conventional interval arithmetic no longer works. e.g. M2 + M2 isn't M3, and D + M2 isn't E. Chord names are different because C - E - G isn't P1 - M3 - P5.

The 11edo solfege in the table is derived from [[22edo Solfege|22edo solfege]].

! Solfege

! Approximate Ratios*

! colspan="2" | [[Ups and Downs Notation|Up/down notation]] <br> with major wider <br> than minor

! colspan="2" | Up/down notation <br> with major narrower <br> than minor

! Pseudo-Diatonic Category

|-

genchain of seconds: ... - m3 - m4 - m5 - P6 - P1 - P2 - M3 - M4 - M5 - A6 - A1...

11edo tempers out the following [[comma]]s. (Note: This assumes val {{val| 11 17 26 31 38 41 }}.)

| 92.18

| Layobi

|-

| 5

| 31.57

| Lala-tribiyo

|-

| 5

| 7.71

| Ruyoyo

|-

| 7

<references/>

{| class="wikitable"

|-

|-

|-

|-

|-

|-

|-

|}

== Scales ==

[[File:Screen Shot 2020-04-23 at 11.32.40 PM.png|none|thumb|1003x1003px]]

[[File:Screen Shot 2020-04-23 at 11.33.13 PM.png|none|thumb|987x987px]]

4\11 generates 4 4 3; 1 3 1 3 3, a [[3L 2s]] scale; and 1 1 2 1 1 2 1 2, a [[3L 5s]] scale.

5\11 generates [[joan]] scales 5 5 1; 1 4 1 4 1, a [[2L 3s]] scale; 1 1 3 1 1 3 1, a [[2L 5s]] scale; and 1 1 1 2 1 1 1 2 1, a [[2L 7s]] scale.

[[File:Screen Shot 2020-04-23 at 11.33.44 PM.png|none|thumb|995x995px]]

2 1 1 1 2 1 1 1 1 [[2L 7s]] MOS  

== Videos ==

== 11edo Zine ==