19edt
| ← 18edt | 19edt | 20edt → |
(convergent)
Division of the third harmonic into 19 equal parts (19ED3) is related to 12 EDO, but with the 3/1 rather than the 2/1 being just. It is also known as Stopper tuning. The octave is about 1.2347 cents stretched and the step size is about 100.1029 cents.
Properties
Bernhard Stopper's OnlyPure tuning[dead link] 19 equal divisions of the tritave is not a "real" xenharmonic tuning; it is a slightly stretched version (with an octave of 1201.2 cents) of the normal 12-tone scale. Although it is really just the normal 12edo tuning framed in a tritave equivalence, it can still be used as a temperament with no twos like other tritave tunings. This approach can create very non-standard chords and scales such as the approximation of the 5:7:9 chord as 0-600-1100 cents. These could be considered xenharmonic in a sense, since they have little connection to standard 12-tone practice in spite of using the 12-tone interval set. The "default" approach to it is as the tritave twin of godzilla temperamentTemplate:Clarification needed (with a generator of 400.4 cents and a 3:1 ratio superdiatonic scale, weird coincidence how 17EDT and 19EDT tonality have the same "default" scheme with two tones more or less). Beyond this, it is also the tritave [[macro-meantone temperament (with a generator of 700.7 or 1101.1 cents), producing a basic Obikhod scale.