Celtic New Year

D|-5-|
A|-6-|
E|---| 

Second chord, you add the 2nd (or the 9th, it doesn't really matter, they're the same),
you have
a shape like this:
E|---| Non capo users: I recommend barre-ing with your index finger 

Continues after the ad
B|-5-|  (obviously), holding the low D# on the A string with your ring
G|-3-|  finger, Pinkie on the 9th (B string), and middle finger on the G
D|-5-|  (D string).

A|-6-|
E|---| 


After that it's a G# barre chord, and an A# barre chord, which I prefer to play like this:
E|---| ...simply laying your ring finger across the third fret, 'coz that 

B|-3-|  way it's easier to get back to the D# chord.
G|-3-|
D|-3-|
A|-1-|
E|---| 


  D#              D# 2            G#              A#
E|-3-3-3-3-3-------------------------------------------------------| 
B|-4-4-4-4-4-------6-6-6-6-6-------4-4-4-4-4-------3-3-3-3-3-------| 
G|-3-3-3-3-3-------3-3-3-3-3-------5-5-5-5-5-------3-3-3-3-3-------| 
D|-5-5-5-5-5-------5-5-5-5-5-------6-6-6-6-6-------3-3-3-3-3-------| 
A|-6-6-6-6-6-------6-6-6-6-6-------6-6-6-6-6-------1-1-1-1-1-------| 
E|---------------------------------4-4-4-4-4-----------------------|