Broken Double Stops Scale

This simple sounds amazing.

Play through a scale.

Play through the scale on 2 strings as double stops in 1st and 3rd position. Play every combination once. For example.

C & D
C & E
C & F
C & G (Holding 5th)
C & A
D & A
D & A (shift - 3rd)
D & B
D & C
E & C
F & C
F & C (shift - 1st)
F & D
F & E
G & E
A & E
A & E (shift 3rd)
A & F
A & G
B & G
C & G
C & G (shift 1st)
...

On the way up the upper string leads. On the way down the lower string leads.

Not exactly sure about 'holding the 5th' all the time. Gotta find a way around the stress of that.

This system is built for the violin.

Another random melody...
G C D E G E D C.
D G B D F E D E