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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 == | |||
[https://piano-stopper.de/?page_id=107&lang=en Bernhard Stopper's OnlyPure tuning]{{Dead link}} | [https://piano-stopper.de/?page_id=107&lang=en 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 | 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 | ||
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>. | 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>. | ||
[[Category: | == See also == | ||
[[Category: | * [[12edo|12EDO]] - relative EDO | ||
[[Category: | * [[28ed5|28ED5]] - relative ED5 | ||
* [[31ed6|31ED6]] - relative ED6 | |||
* [[34ed7|34ED7]] - relative ED7 | |||
* [[40ed10|40ED10]] - relative ED10 | |||
* [[42ed11|42ED11]] - relative ED11 | |||
[[Category:Macrotonal]] | |||
[[Category:Edonoi]] | |||
[[Category:Edt]] | |||
[[Category:Equal]] | |||
Revision as of 08:53, 13 September 2021
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.
Division of 3/1 into 19 equal parts
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 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
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 (with a generator of 700.7 or 1101.1 cents and a 2:1 ratio superdiatonic scale).