Whenever you play an interval of third, one octave higher, you are playing an interval of tenth.
Take a "G Major Scale" for example:
G....A....B....C....D....E....F#....G...A....B....C....D
1..................................................10

And if you go from "A" to "C"(one octave higher), that is a tenth too.

Here are the pairs of notes from the harmonized "G Major Scale", using intervals of tenth.
G-B
A-C
B-D
C-E
D-F#
E-G
F#-A
G-B