19edt: Difference between revisions

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'''[[Edt|Division of the third harmonic]] into 19 equal parts''' (19ED3) is related to [[12edo|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.
'''[[Edt|Division of the third harmonic]] into 19 equal parts''' (19ED3) is related to [[12edo|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.
=Division of 3/1 into 19 equal parts=
=Division of 3/1 into 19 equal parts=
[http://www.piano-stopper.de/html/onlypure_tuning.html Bernhard Stopper's OnlyPure tuning]
[http://www.piano-stopper.de/html/onlypure_tuning.html Bernhard Stopper's OnlyPure tuning]{{Dead link}}


Note: 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 [[12edo|12-tone scale]]. Although it is really just the normal "harmonic" tuning framed in a tritave equivalence, the "default" approach to it is as the tritave twin of godzilla temperament (with a generator of 400.4 cents and a[[category:macrotonal]] 3:1 ratio superdiatonic scale, weird coincidence how 17edt and 19edt tonality have the same "default" scheme with two tones more or less), which has little connection to standard 12-tone practice in spite of using the 12-tone interval set. Beyond this, it is also the tritave twin of sensi or meantone temperament <span style="background-color: rgba(255,255,255,0);">(with a generator of 700.7 or </span>1101.1 <span style="background-color: rgba(255,255,255,0);">cents and a 2:1 ratio superdiatonic scale)</span>.
Note: 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 [[12edo|12-tone scale]]. Although it is really just the normal "harmonic" tuning framed in a tritave equivalence, the "default" approach to it is as the tritave twin of godzilla temperament (with a generator of 400.4 cents and a
[[category:macrotonal]]
3:1 ratio superdiatonic scale, weird coincidence how 17edt and 19edt tonality have the same "default" scheme with two tones more or less), which has little connection to standard 12-tone practice in spite of using the 12-tone interval set. Beyond this, it is also the tritave twin of sensi or meantone temperament <span style="background-color: rgba(255,255,255,0);">(with a generator of 700.7 or </span>1101.1 <span style="background-color: rgba(255,255,255,0);">cents and a 2:1 ratio superdiatonic scale)</span>.
==See also==
==See also==
*[[12edo]]: relative EDO
*[[12edo]]: relative EDO