The distance in Z12
Let a,b∈ Z12 be two distinct elements, then
the distance of a and b is 1 if and only if the interval b-a is 1
or 11. The distance is 2 if the interval b-a is 2 or 10. The
distance is 3 if the interval b-a is 3 or 9. The distance is 4 if
the interval b-a is 4 or 8. The distance is 5 if the interval b-a
is 5 or 7. The distance is 6 if the interval b-a is 6.
| interval |
distance |
| 0 |
0 |
| 1, 11 |
1 |
| 2, 10 |
2 |
| 3, 9 |
3 |
| 4, 8 |
4 |
| 5, 7 |
5 |
| 6 |
6 |
Database on tone rows and tropes
harald.fripertinger "at" uni-graz.at
January 2, 2019