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