The Lydian Mode

What makes the Lydian what it is is a sharpened fourth interval in the Ionian scale. 


Ionian: 1, 2, 3, 4, 5, 6 , 7
Lydian: 1, 2, 3, +4, 5, 6, 7


Tabbed out in C on one string, the Ionian appears thus

And the Lydian, thus

The Lydian Mode has a major key sound and is often used in Jazz. The sharpened fourth gives it an interesting edge when played over major seventh chords.

 That being said, one must experiment with various different comping chords. The best kind of practice is with other musicians, but get yourself a sampler if you've some money available to you. It is a sweeet investment to make. The one most go for is the Boss Loop Station. They have a few different models but if you just need something to practice with and play around with different ideas the RC-2 is well enough. 

Boss pedals are legendary, and should be available at most music stores.

Other chords you could try the Lydian over would be major chords, sus 2 chords and major7flat5 chords.  

Here tabbed are examples of the C Lydian Mode played in a few different positions. First, played near the nut using open strings. 

In the first position without open strings,

In a second position, ranging two octaves from C to C,

In a third, again ranging two octaves,

And finally, an example linking a few positions. 

Happy trails!