Here is the full list of all 14 Savant - there are Ascent achievements.
Destroy A Wyrm within 3 seconds
Survive for 10 minutes in Endless mode
Survive for 5 minutes in Endless mode
Collect enough scrap metal to fully charge you're Overdrive, becoming the strongest Savant ever!
Destroy all 16 Golden Fodders during Time Attack, without dying
Destroy 99% of the enemies in Time Attack, before the boss
Utilize a grab attack towards an enemy(Attack unlocked by obtaining the 6th Soundtrack)
Collect enough scrap metal to reach Red Overdrive
Collect enough scrap metal to reach Pink Overdrive
Collect enough scrap metal to reach Blue Overdrive
Collect enough scrap metal to enter Overdrive mode. (After obtaining Ultimate Power)
Obtain 6 Soundtracks by collecting all the golden CD pieces scattered across the different game modes
Find a way to obtain ultimate power!
Destroy 500 Enemies In Endless Mode, without dying