11EDO Orgone Tuning
This plugin is meant for tuning Musescore playback to the Orgone 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.
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).
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.
Orgone harmony is based on the 2.7.11 subgroup as follows:
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.
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.