User:Moremajorthanmajor/Ed9/4: Difference between revisions

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The '''equal division of 9/4''' ('''ed9/4''') is a [[tuning]] obtained by dividing the [[9/4|Pythagorean ninth (9/4)]] in a certain number of [[equal]] steps~~. An ed9/4 can be generated by taking every other tone of an [[edf]], so even-numbered ed9/4's are integer edfs~~.

The '''equal division of 9/4''' ('''ed9/4''') is a [[tuning]] obtained by dividing the [[9/4|Pythagorean ninth (9/4)]] in a certain number of [[equal]] steps.

== Properties ==

~~Division of 9~~/4 ~~into equal parts does not necessarily imply directly using this interval as~~ an [[~~equivalence~~]]~~. Many, though not all~~, ed9/4 ~~scales have a perceptually important [[Pseudo-octave|false octave]], with various degrees of accuracy~~.

=== Relation to edfs ===

An ed9/4 can be generated by taking every other tone of an [[edf]], so even-numbered ed9/4's are integer edfs.

~~The structural utility~~ of 9/4 or another major ninth 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~~.

This is the primary use for ed9/4s — to get the same benefits of a particular edf, without having to juggle such a large number of notes per [[period]]. This is a similar principle to using an [[ed4]] in place of a very large [[edo]].

Perhaps a composer wanting to explore ''N''edf but daunted by the number of notes, could instead simply use ''N''ed9/4. Otherwise, they could also compose for two instruments, both tuned to ''N''ed9/4, but each tuned one step of ''N''edf apart, making the piece overall in ''N''edf, but each individual instrument ''N''ed9/4. This is a similar strategy to how some composers have approached [[24edo]] — using two [[12edo]] instruments tuned a 24edo-step apart.

=== Relation to common practice ===

9/4 or another major ninth is a standard replacement for the root in jazz piano voicings. Perhaps, then, a composer could approach the period of ed9/4 not as an [[equivalence]], but as a skeleton for chords to be built out of.

=== Equivalence ===

Few would argue that 9/4 itself could be heard as an equivalence. Some might argue that some degree of 3/2 equivalence may be possible in a scale which has no 2/1, 3/1, or 4/1, though this is quite controversial. If that is the case, then perhaps in a similar scale that also has no 3/2, 9/4 may have some form of faint equivalence as it might sound like two periods of 3/2.

== Individual pages for ed9/4's ==

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 {{Editable user page}}
-The '''equal division of 9/4''' ('''ed9/4''') is a [[tuning]] obtained by dividing the [[9/4|Pythagorean ninth (9/4)]] in a certain number of [[equal]] steps. An ed9/4 can be generated by taking every other tone of an [[edf]], so even-numbered ed9/4's are integer edfs.
+The '''equal division of 9/4''' ('''ed9/4''') is a [[tuning]] obtained by dividing the [[9/4|Pythagorean ninth (9/4)]] in a certain number of [[equal]] steps.
 == Properties ==
-Division of 9/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed9/4 scales have a perceptually important [[Pseudo-octave|false octave]], with various degrees of accuracy.
+=== Relation to edfs ===
+An ed9/4 can be generated by taking every other tone of an [[edf]], so even-numbered ed9/4's are integer edfs.
-The structural utility of 9/4 or another major ninth 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.
+This is the primary use for ed9/4s — to get the same benefits of a particular edf, without having to juggle such a large number of notes per [[period]]. This is a similar principle to using an [[ed4]] in place of a very large [[edo]].
+Perhaps a composer wanting to explore ''N''edf but daunted by the number of notes, could instead simply use ''N''ed9/4. Otherwise, they could also compose for two instruments, both tuned to ''N''ed9/4, but each tuned one step of ''N''edf apart, making the piece overall in ''N''edf, but each individual instrument ''N''ed9/4. This is a similar strategy to how some composers have approached [[24edo]] — using two [[12edo]] instruments tuned a 24edo-step apart.
+=== Relation to common practice ===
+/4 or another major ninth is a standard replacement for the root in jazz piano voicings. Perhaps, then, a composer could approach the period of ed9/4 not as an [[equivalence]], but as a skeleton for chords to be built out of.
+=== Equivalence ===
+Few would argue that 9/4 itself could be heard as an equivalence. Some might argue that some degree of 3/2 equivalence may be possible in a scale which has no 2/1, 3/1, or 4/1, though this is quite controversial. If that is the case, then perhaps in a similar scale that also has no 3/2, 9/4 may have some form of faint equivalence as it might sound like two periods of 3/2.
 == Individual pages for ed9/4's ==