All information about a tone row
It is possible to obtain all information about a particular tone
row f which can be input either in numeric form or by choosing its number in the list
of the 836 017 D12 × D12-orbits of tone
rows. For the second method the first input field must be
empty! The user will obtain the normal form of f, the orbit of f, all data like stabilizer type, trope structure, interval structure,
diameter
distance structure, chord
diagram etc. in connection with this orbit, the tone row in
musical notation, the row matrix
of f, simultaneous
information on bigger orbits of the form ( Aff
1(Z12) × D12)(f),
(D12 × Aff 1(Z12))(f), (
Aff 1(Z12) × Aff
1(Z12))(f), 𝔄12(f)
and 𝔇12(f). (For more details see sections 1.3,
2.3, 3.1, and 4.1 of [1].) Finally musical information on the orbits
(D12 × D12)(f) and 𝔄12(f)
is provided. The second one, is the biggest orbit containing f
which is studied in our database. It collects the information on
tone rows of up to eight different D12 ×
D12-orbits.
Database on tone rows and tropes
harald.fripertinger "at" uni-graz.at
January 2, 2019