I G Ionian - G major
ii A Dorian - A minor
iii B Phrygian - B minor
IV C Lydian - C major
V D Mixolydian - D major
vi E Aeolian - E minor
viidim F# Locrian - F# diminished
These are technically very straightforward and the only difficulty you might find is my habit of using separate fingers the cross from the 5th to the Octave. It's trickier but gives proper control over note length and articulation so well worth working on. You could just use alternate picking as I did here or a combination of sweeps and alternate. You could even hybrid pick these, particularly if you require a specific repeating pattern involving a pedal tone. Go nuts!
Here's the video
and here's the dots and complete with the devils own work - Tab :(
Transpose this to every key, break into different groupings, string together top and bottom, change the rhythm and generally get creative with them.
Also, as ever, sing everything you're playing. If you can hear it you can play it!
This is so important!
I didn't do this in the video but it's a good idea to play the mode, then the arpeggio and finally the corresponding chord for each position. The chord can be a full barre chord or a simple triad.
Just because they're simple it doesn't they can't be cool!