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. | ||
== Properties == | ==Properties== | ||
{{Harmonics in equal|19|3|1|prec=2}} | |||
[[Bernhard Stopper]]'s [https://piano-stopper.de/?page_id=107&lang=en OnlyPure tuning]{{Dead link}} | [[Bernhard Stopper]]'s [https://piano-stopper.de/?page_id=107&lang=en 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 [[12edo|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, alithough limited accuracy, with [[5/3]] approximated as 9 steps and [[7/3]] approximated by 15 steps. It completely misses the next tritave-reduced prime harmonic, [[11/9]]. | 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 12edo tuning framed in a tritave equivalence, it can still be used as a temperament with no twos like other tritave tunings, alithough limited accuracy, with [[5/3]] approximated as 9 steps and [[7/3]] approximated by 15 steps. It completely misses the next tritave-reduced prime harmonic, [[11/9]]. | ||