Since the lead riff in this song uses 16th notes, we'll be using alternate picking to maintain a steady, consistent rhythm. A measure of 16th notes can be viewed as 1 e + a 2 e + a 3 e + a 4 e + a.
With the "Stygia" lead riff, there is a break in the 16th note grove that adds a nice element of suspension. This can be viewed as 1 e + a 2 e a 3 e + a 4 e. There is a brief pause between the "e" of 2 (played with an upstroke) and the "a" of 2 (also played by an upstroke). It can also be pictured as down-up, down-up, down-up, up, down-up, down-up, down-up.
To establish the rhythm, it may help to practice alternate picking the rhythm on the open high E string. I've also found it helpful to establish rhythms by tapping my palms on my legs where my right hand represents downstrokes, and my left hand represents upstrokes.
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