>Has anyone ever created an "inverted" song? For example, take the Ode to Joy melody and play every other note BUT that one.
That would just be a cacophony -- the relations used for notes in a symphony do not exist in their "complement" (all other notes except those in the current harmony).
E.g. for the trivial case of a single C major triad chord, the "inverted song" would be: "C# D D# F G# A A# B B#" which is mostly cacophonous noise, even when restricted to one octave.
(If we restricted the notes to the same scale D F A B would be slightly better, almost a D7).
That would just be a cacophony -- the relations used for notes in a symphony do not exist in their "complement" (all other notes except those in the current harmony).
E.g. for the trivial case of a single C major triad chord, the "inverted song" would be: "C# D D# F G# A A# B B#" which is mostly cacophonous noise, even when restricted to one octave.
(If we restricted the notes to the same scale D F A B would be slightly better, almost a D7).