Pulling notes from Aveda's website I see sandalwood, jasmine, rose, ylang ylang, lavender, vanilla, petitgrain, vetiver, and bergamot, with lavender being in nearly every scent. Though not all of their notes, it is a pretty good sampling from their most popular scents. I suspect the sharpness you're getting is from the lavender and vetiver.
They both appear in:
Death on a Pale Horse - white musk, mint, lavender, patchouli, vetiver, yuzu, lime, geranium bourbon, white sandalwood and calla lily.
The Scales of Deprivation - lemon peel, white sage, frankincense, lavender fougere, sandalwood, vetiver and labdanum.
Bluebeard - Violet, lavender, white musk and vetiver.
You may also like:
Arcana - Frankincense, rosemary, lavender, neroli, and lemon verbena.
Veil - White sandalwood, lilac, gardenia, violet, orris, lavender and ylang ylang.
Twilight - Lavender and jasmine, with a touch of glowing honeysuckle.
Calliope - Lavender and mint with bergamot, verbena, thyme, sweet orange and warm almond.
Namaste - Sandalwood, jasmine, rose, patchouli, cedarwood and lemongrass.
The Caterpillar - Heavy incense notes waft lazily through a mix of carnation, jasmine, bergamot, and neroli over a lush bed of dark mosses, iris blossom, deep patchouli and indolent vetiver.