The Muskogee is a confirmed purple/lavender crepe myrtle that I have many of. It is scented and I highly recommend it!
It may be that this crepe myrtle in question here is a Muskogee, too...
Also, 'Zuni' is a shorter cultivar with purple blooms. It gets to about 8 feet tall max. I have 3 of those and love them.
Cordon Bleu is a dwarf with purple blooms. It gets about 2 feet tall. I've had one of those for over 10 years and it's still about 18" tall!!