Thanks for all the responses. Each made sense in it's own way.
Where you play this on the board might influence your choices, too. I left that out of the mix in order not to complicate things.
There are a few other choices I tried,
2 on the 1st string, then 1,2,3 on the next
(useful if you want to play this pattern with the top note on the 23rd or 24th fret)
or 1 and 2 on the 1st string
then 1 and 2 on the next.
The answer I came up with when I first started working on this a while back was the same one Randy came up with:
1 - 3 for the first two notes then up a string for
1 - 2 for the next two.
The 1-3-1-2 answer is based on hand movement along the string. With hand movement, it can be done really fast and with clear attacks, (no hammer-ons needed).
I'm not a 4-finger player, so maybe Steve's or Brett's would be faster if that's what you were used to.
If you're high up on the board, where the frets are close together, how about 1-2-3-4 on one string (hard to do without hammering-on, but if you've got that distortion cranked, who cares...)?
For 4 fingers I really like this pattern:
1-4 on the first string, then 1-2 on the second.
This is basically the 1-3-1-2 solution but with the 4th finger replacing the 3rd.
Give it a try, you 4-finger guys...
Whether you want to hammer-on some of the notes you're playing should always be a "musical choice", not dictated by the fingering you've chosen. The position you're in on the board determines which fingers are available for hammer-ons and pulloffs, so being able to make shifts along the board quickly from one position to the next is a really valuable skill.
My point in asking the question in the first place was that there are often many solutions to a question about fingerings. When you find a tricky fingering, try several different solutions, and practice all of them. You never know when circumstances will put you in the position to need those tricky fingering reflexes.
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