User:Moremajorthanmajor/Ed9/4: Difference between revisions

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=== Equivalence ===
=== 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.
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.
== Important ed9/4s ==
=== 5ed9/4 ===
Completely misses [[2/1]] and [[3/1]], but aproximates [[5/1]] maybe passably, and [[7/1]] extremely well.
This makes it still posess some useful consonances, but with neither an octave nor tritave to pull the listener's ear — making it a prime candidate for perceptual 9/4-equivalence, if such a thing is even possible.
Every other step of [[5edf]].
{{Harmonics in equal|5|9|4|intervals=prime}}
{{Harmonics in equal|5|9|4|intervals=integer}}
=== 9ed9/4 ===
Every other step of [[9edf]] (almost exactly every other step of [[Carlos Alpha]]).
{{Harmonics in equal|9|9|4|intervals=prime}}
{{Harmonics in equal|9|9|4|intervals=integer}}
=== 11ed9/4 ===
Every other step of [[11edf]] (almost exactly every other step of [[Carlos Beta]]).
{{Harmonics in equal|11|9|4|intervals=prime}}
{{Harmonics in equal|11|9|4|intervals=integer}}
=== 20ed9/4 ===
Every other step of [[20edf]] (almost exactly every other step of [[Carlos Gamma]]).
{{Harmonics in equal|11|9|4|intervals=prime}}
{{Harmonics in equal|11|9|4|intervals=integer}}
=== 29ed9/4 ===
A compromise between [[39edt]] (triple Bohlen-Pierce) and [[25edo]], combining the benefits and drawbacks of both systems while being audibly different from either.
Every other step of [[29edf]].
{{Harmonics in equal|29|9|4|intervals=prime}}
=== 43ed9/4 ===
A compromise between [[58edt]] and [[37edo]], combining the benefits and drawbacks of both systems while being audibly different from either.
Every other step of [[43edf]].
{{Harmonics in equal|43|9|4|intervals=prime}}
=== 45ed9/4 ===
Very similar to [[61edt]] but improves on its approximations of [[JI]].
Every other step of [[45edf]].
{{Harmonics in equal|45|9|4|intervals=prime}}
=== 47ed9/4 ===
A compromise between [[64edt]] and [[40edo]], combining the benefits and drawbacks of both systems while being audibly different from either.
Every other step of [[47edf]].
{{Harmonics in equal|47|9|4|intervals=prime}}
=== 57ed9/4 ===
A compromise between [[77edt]] and [[49edo]], combining the benefits and drawbacks of both systems while being audibly different from either.
Every other step of [[57edf]].
{{Harmonics in equal|57|9|4|intervals=prime}}


== Individual pages for ed9/4's ==
== Individual pages for ed9/4's ==
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{{todo|inline=1|review|cleanup|improve layout}}
{{todo|review}}