factors_to_remap 2 3 5 7
preserve_cofg_of_scale 
octave_shift_for_inversion 2

=M
1  0  0  0
0  1  0  0
3  1 -1  0
4  1  0 -1
!rotation order 2

=R
-1  0  0  0
-2  0 -1  1
-5  0  0  1
-4 -1  0  1
!rotation order 4

=S
1  0  0  0 
4  0 -1  0 
3  1 -1  0 
2  0 -1  1
!rotation order 3

=T
1  0  0  0 
1 -1  1  0 
4 -1  0  0 
2 -1  0  1
!T is S^-1

=U
-1  0  0  0
 0 -1  0  0
 0  0 -1  0
 0  0  0 -1
!inversion

Play

I R R2 R3 M MR MR2 MR3 
U UR UR2 UR3 UM UMR UMR2 UMR3
S SR SR2 SR3 SM SMR SMR2 SMR3
SU SUR SUR2 SUR3 SUM SUMR SUMR2 SUMR3
T TR TR2 TR3 TM TMR TMR2 TMR3
TU TUR TUR2 TUR3 TUM TUMR TUMR2 TUMR3
I