11EDO Orgone[7] Tuning
This plugin is meant for tuning Musescore playback to the Orgone[7] scale of 11EDO, also known as smitonic (by analogy to diatonic). The plugin alters the cent value of the notes. It's not meant for conversion per se, it's a tool for effective composition of 11EDO pieces in Orgone smitonic. Simply click "Retune!" on a selection, The plugin will retune the whole piece if there's no selection.
Background:
Due to 11EDO's very flat fifths (practically lacking in a traditional "fifth" category), generating a scale using a standard circle of fifths approach is at the very least odd. The result is a Joan scale, which is either a 7-note extreme antidiatonic scale: ssLsssL (s=1, L=3), or a 9-note joanatonic scale: sssLssssL (s=1, L=2). Preservation of the harmonic meaning of sharps and flats reverses them (sharps are lower than naturals), and an accidental moves the note by 2 steps in the antidiatonic scale (huge in 11EDO). This is (mostly) a poor framework for composition and reading, but it is already supported by the 5 to 117 EDO plugin directly.
As a result of the limitations of a fifths tuning, a new approach uses the smitonic scale, which is consistent with Orgone temperament in 11EDO. The scale is generated by the (minor) third interval (327.27 cents, an approximation of Orgone's 77/64 interval). By using a 7-note scale, some familiarity is retained. When retuning keyboard instruments, the G# can be ignored, or transformed into G semisharp (from 22edo).
Orgone basics:
The scale itself has the following structure: LsLLsLs (L=2, s=1) A-G (or LLsLsLs C-B). This means that the G# and Ab are no longer enharmonically equivalent. G# is now A, and Ab is now G.
Note | Cents | ~ Ratios |
---|---|---|
C | 0.00 | 1/1 |
C# | 109.09 | 16/15 |
D | 218.18 | 8/7 |
D# | 327.27 | 6/5 (77/64) |
E | 436.36 | 9/7 (14/11) |
F | 545.45 | 11/8 |
F# | 654.55 | 16/11 |
G | 763.64 | 14/9 (11/7) |
A | 872.73 | 5/3 (128/77) |
A# | 981.82 | 7/4 |
B | 1090.91 | 15/8 |
C | 1200.00 | 2/1 |
Orgone harmony is based on the 2.7.11 subgroup as follows:
1/1------8/7<----------------11/8<---------------128/77<------------2/1
1/1------------>77/64-------------->16/11----------------->7/4------2/1
The otonal (major) triad is 8:11:14, and its inversion is utonal (minor)
The 3 major-most modes access the 8:11:15 triad due to the major 7th degree.
Limitations:
Currently, the plugin can only retune to standard A=440Hz. There is also no support for other Orgone tunings (15/26/etc). This is a direct modification of older retuning plugins.
Installation:
Just extract the folder from the zip to you plugins folder.
Attachment | Size |
---|---|
11edo-orgone.zip | 63.66 KB |