User:Moremajorthanmajor/Ed9/4: Difference between revisions

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'''EdIX''' ~~is the short form~~ of '''Division of a ninth ([[9/4]]) into n equal parts~~'''.~~

'''EdIX''' means '''Division of a ninth interval into n equal parts'''.

<font style="font-size: 19.5px;">Division of a ninth (e. g. 9/4) into n equal parts</font>

Division of e. g. the 9:4 into equal parts can be conceived of as to directly use this interval as an equivalence, or not. The question of [[equivalence]] has not even been posed yet. The utility of 9:4 or another 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 third or a fourth optionally with a period equivalent to three or six macrotones, in particular ones at least as wide as 4 degrees of [[45edo]]) takes 1-3-6 as the root position of its regular triad. Many, though not all, of these scales have a pseudo (false) octave, with various degrees of accuracy.

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* 4&4: Macrodiminshed

* 6&2: Macroshrutis

* 5&3: Grandfather

5&3: Grandfather

~~(Difficult to call these names colorful, no? Yet still they are something.)~~

The temperament family in the Neapolitan temperament area which has an interlaced enneatonic scale is named Fujiyama (i. e. the volcano viewable from practically anywhere in Japan due to the Japanese archipelago consisting of such flat islands).

@@ Line 1: / Line 1: @@
-'''EdIX''' is the short form of '''Division of a ninth ([[9/4]]) into n equal parts'''.
+'''EdIX''' means '''Division of a ninth interval into n equal parts'''.
+<font style="font-size: 19.5px;">Division of a ninth (e. g. 9/4) into n equal parts</font>
 Division of e. g. the 9:4 into equal parts can be conceived of as to directly use this interval as an equivalence, or not. The question of [[equivalence]] has not even been posed yet. The utility of 9:4 or another 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 third or a fourth optionally with a period equivalent to three or six macrotones, in particular ones at least as wide as 4 degrees of [[45edo]]) takes 1-3-6 as the root position of its regular triad. Many, though not all, of these scales have a pseudo (false) octave, with various degrees of accuracy.
@@ Line 11: / Line 13: @@
 * 4&amp;4: Macrodiminshed
 * 6&amp;2: Macroshrutis
+* 5&amp;3: Grandfather
-&amp;3: Grandfather
-(Difficult to call these names colorful, no? Yet still they are something.)
 The temperament family in the Neapolitan temperament area which has an interlaced enneatonic scale is named Fujiyama (i. e. the volcano viewable from practically anywhere in Japan due to the Japanese archipelago consisting of such flat islands).