User:Moremajorthanmajor/Ed9/4: Difference between revisions
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== Properties == | == Properties == | ||
Division of 9/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The question of equivalence has not even been posed yet. The utility of 9/4 or another major ninth as a base though, is apparent by being the standard replacement for the root in jazz piano voicings. Also, as a ninth is the double of a fifth, the fifth of normal root position triads will become the common suspension (5-4 or 5-6) of a ninth-based system. However, thirds and sixths are no longer inverses, and thus an [[Pseudo-traditional harmonic functions of octatonic scale degrees|octatonic scale]] (i. e. any of those of the proper Napoli temperament family which are generated by a fourth optionally with a period equivalent to three or six macrotones, in particular ones at least as wide as 101.083 cents) takes 1-3-6, which is not equivalent to a tone cluster as it would be in an edf tuning, as the root position of its regular triad. Many, though not all, of these scales have a false octave, with various degrees of accuracy. | Division of 9/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The question of equivalence has not even been posed yet. The utility of 9/4 or another major ninth as a base though, is apparent by being the standard replacement for the root in jazz piano voicings. Also, as a ninth is the double of a fifth, the fifth of normal root position triads will become the common suspension (5-4 or 5-6) of a ninth-based system. However, thirds and sixths are no longer inverses, and thus an [[Pseudo-traditional harmonic functions of octatonic scale degrees|octatonic scale]] (i. e. any of those of the proper Napoli temperament family which are generated by a fourth optionally with a period equivalent to three or six macrotones, in particular ones at least as wide as 101.083 cents) takes 1-3-6, which is not equivalent to a tone cluster as it would be in an edf tuning, as the root position of its regular triad. Many, though not all, of these scales have a false octave, with various degrees of accuracy. | ||
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== Individual pages for ed9/4's == | == Individual pages for ed9/4's == | ||
* [[9ed9/4]] | * [[9ed9/4]] | ||
* [[13ed9/4]] | * [[13ed9/4]] | ||
* [[17ed9/4]] | * [[17ed9/4]] | ||
[[Category:Ed9/4| ]] <!-- main article --> | [[Category:Ed9/4| ]] <!-- main article --> | ||
[[Category: | [[Category:Edonoi]] | ||
[[Category:Lists of scales]] | |||