Hello Luis Hernandez,
I am French and I am interested in Set Theory. By doing a search on the Net, I discovered your answer to millert1409 including your explanation on the relationship between the transposition of a PC-Set and the common notes from the Interval Vectors. To tell the truth, I had not paid attention to this particularity of the IV, simply noting the number of occurrences of the interval classes.
However, very interested in your explanation, I tried this one on several IV but I run into a small problem concerning the number of tritones.If I take as an example the interval vectors of the set {0, 1, 4, 6, 9} is <113221>, when I transpose successively from the second minor to the fourth, the number of common notes displayed by the IV is similar. On the other hand, if I transpose {0, 1, 4, 6, 9} to tritone I get {6, 7, 10, 0, 3} two (6 / f # and 0 / c) instead of a single tritone. Is it the fact in the count that we must remember that 6 + 6 = 12 and not 0 ?
Otherwise, thank you for this explanation on this feature of the Interval Vector which I had not paid attention.
PS : Sorry for my bad english.