All-interval tetrachords

[BWV]

Anyone mess around with these? Most associated with Elliott Carter, these are two different 4-note cells, just numbering half steps - 0137 and 0146, each of which contains all the interval classes (1-6, as 7+ are inversions of 1-6)

some common shapes fall into this like the common 13th voicing 5x567x, other voicings sound more out there- any combination of a tritone and minor third (or major 6th) that does not create an octave creates an all-interval tetrachord.

I have played around with them harmonically, an example it the intro to Ipanema I posted a couple of weeks ago.

Jonathan Leathwood posted a good intro here

[Christian Miller]

Anyone mess around with these? Most associated with Elliott Carter, these are two different 4-note cells, just numbering half steps - 0137 and 0146, each of which contains all the interval classes (1-6, as 7+ are inversions of 1-6)

some common shapes fall into this like the common 13th voicing 5x567x, other voicings sound more out there- any combination of a tritone and minor third (or major 6th) that does not create an octave creates an all-interval tetrachords.

I have played around with them harmonically, an example it the intro to Ipanema I posted a couple of weeks ago.

Jonathan Leathwood posted a good intro here

There’s a decade of someone’s life right there


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[James W]

I love Carter.