I have no idea if the subject header is nonsense, but it’s all I could come up with.
A composer, Thom Johnson, in 1985 wrote a piece for piano called The Chord Catalogue (excerpts are here).
The work ostensibly–and I have no reason to doubt it–is a collection of every “chord” possible within the 13-note division of the notes including and between an octave.
Ie–and in this his numbering and conception of octave division is contrary to modern Serial notation, but:
c=1,c#=2,d=3, etc., till C above=13.
The first go-round, with one-note chords, gives exactly 13 separate chords; the last go-round gives one chord, with thirteen notes in it.
The go-rounds of the chords begins, as mentioned, with one-note chords. The next go-round is one consisting of two-note chords. Etc up to 13.
The pianist/composer claims 8178 chords once the whole shebang is played through.
Is this true?
What _I’d_like to see is figuring in all the different note-arrangements _within_each chord.
Something tells me that the procedures are simple (combinometrics is a cult in serial composition and analysis). But I certainly don’t know.