Transposition/Inversion (T_n/T_nI)
Generator

• theory resources
• TT Matrix Generator
• T_n/T_nI Tool

Transpositions

9 T 3 E 4 6 
T E 4 0 5 7 
E 0 5 1 6 8 
0 1 6 2 7 9 
1 2 7 3 8 T 
2 3 8 4 9 E 
3 4 9 5 T 0 
4 5 T 6 E 1 
5 6 E 7 0 2 
6 7 0 8 1 3 
7 8 1 9 2 4 
8 9 2 T 3 5 


Inversions

3 2 9 1 8 6 
4 3 T 2 9 7 
5 4 E 3 T 8 
6 5 0 4 E 9 
7 6 1 5 0 T 
8 7 2 6 1 E 
9 8 3 7 2 0 
T 9 4 8 3 1 
E T 5 9 4 2 
0 E 6 T 5 3 
1 0 7 E 6 4 
2 1 8 0 7 5 

Instructions:
To generate all transpositions and inversions of an ordered collection of pitch classes, enter your collection as a comma delineated list using standard integer notation where C = 0, and B = 11. You can enter a maximum of fifty characters.

Transpositions and inversions are read in order starting with T₀ ... T_E, and T₀I ... T_EI, respectively.

Unless you are pasting in your data to the form, '10' can be entered as 'T' or 't', and '11' can be E or e. Any other input will not generate meaningful data. If you are able to hang the program, email me the input so I can fix. If you don't get expected results, check your input carefully. Failing that, send me your input so I can fix.

Sample input:

9, 10, 3, 11, 4, 6

OR

9, T, 3, E, 4, 6