Database on tone rows and tropes -- How to input the multiplicities of intervals

How to input the multiplicities of intervals

The multiplicity of an interval indicates how often this interval occurs in the interval structure. For each interval i from 1 to 11 its multiplicity a_i ∈ {0,…,12} can be prescribed. If

^._. 11
∑
i=1 a_i=12,^._.

then the program determines all tone rows the interval structures of which have multiplicities a_i for each i ∈ {1,…,12}. If

^._. 11
∑
i=1 a_i>12,^._.

then there are no tone rows with these multiplicities. If

^._. 11
∑
i=1 a_i<12,^._.

then the program determines all tone rows the interval structures of which have multiplicities at least a_i for each i ∈ {1,…,12}.

The interval structures of all-distances-twice rows are collected in a table.

Database on tone rows and tropes
harald.fripertinger "at" uni-graz.at
January 2, 2019