How to input the stabilizer type
The stabilizer types are input by using their numbers as idicated
in the different tables below. In general
- Ui are subgroups of D12 ×
D12,
- Wi are subgroups of Aff
1(Z12) × D12,
- Wi' are subgroups of D12 × Aff
1(Z12),
- Xi are subgroups of Aff
1(Z12) × Aff
1(Z12),
- Yi are subgroups of 𝔄12,
- Zi are subgroups of 𝔇12.
E.g. in order to prescribe the stabilizer type X15 the
action of Aff 1(Z12) × Aff
1(Z12) must be chosen and the number
15 must be input as the stabilizer type.
It is also possible to look for stabilizer types
- greater than i by inputting >i,
- less than i by inputting <i,
- different from i by inputting !i.
Depending on the acting group, there are different stabilizer
types of tone rows.
Database on tone rows and tropes
harald.fripertinger "at" uni-graz.at
January 2, 2019