All-interval twelve-tone row

[5] These 1,928 tone rows have been independently rediscovered several times, their first computation probably was by Andre Riotte in 1961.

The first known all-interval row, F, E, C, A, G, D, A♭, D♭, E♭, G♭, B♭, C♭, was named the Mutterakkord (mother chord) by Fritz Heinrich Klein, who created it in 1921 for his chamber-orchestra composition Die Maschine.

[10][11] The intervals between consecutive pairs of notes are the following (t = 10, e = 11): Klein used the Mother chord in his Die Maschine, Op.

1, and derived it from the Pyramid chord [Pyramidakkord]: difference by transposing the underlined notes (0369) down two semitones.

[12] The Mother chord row was also used by Alban Berg in his Lyric Suite (1926) and in his second setting of Theodor Storm's poem Schliesse mir die Augen beide.

All-interval row from Alban Berg 's Lyric Suite
Elliott Carter often based his all-interval sets on the list generated by Bauer-Mendelberg and Ferentz and uses them as a " tonic " sonority [ 1 ]
All-interval series from Luigi Nono 's Il canto sospeso [ 2 ] (Equivalent to Nicolas Slonimsky 's "Grandmother Chord".) [ 3 ]
Chromatic scale
'Link' chord used once in Carter's "End of Chapter". [ 16 ]