The Danish alphabet is a bit different compared to the US/UK/AU-English. We have 3 additional vowels, and sometimes keep up German and Swedish ways of spelling as well.

The Danish alphabet looks and is sorted like this:

Aa, Bb, Cc, Dd, Ee, Ff, Gg, Hh, Ii, Jj, Kk, Ll, Mm, Nn, Oo, Pp, Qq, Rr, Ss, Tt, Uu, Vv, Ww, Xx, Yy (Üü), Zz, Ææ (Ää), Øø (Öö), Åå.

The vowels in the parenthesis are the German/Swedish equivalents.

We have another way of writing these letters, if we can't use our own character-set, which actually is a great problem on the Internet. It's also the way these letters were written, before these special vowels were invented. Names are often spelled with the old versions.

• Æ, æ (Ä, ä) = ae (old) - pronounced like "ea" in "death". (HTML-code: Æ = Æ Ä = Ä).
• Ø, ø (Ö, ö) = oe (old) - pronounced like "e" in "certain". In French it's "oe" or "eu". (HTML-code: Ø = Ø Ö = Ö).
• Å, å = aa (old) - pronounced like "o" in "born". (HTML-code: Å = Å).
• Ü, ü = ue (Internet) - this sound doesn't exist in English. In French it's "u". (HTML-code: Ü = Ü).

"Å, å, aa" is used in two ways. Places use "Å, å" while names use "Aa, aa", e.g. the surname "Brandsgaard" is always spelled "Brandsgaard", while the name of the farm always is spelled "Brandsgård".

"Koefoed/Kofoed" are never pronounced or written like "ø". It's always pronounced as a clear "o". 

Here is how you type the special Danish, Norwegian and Swedish vowels on a Macintosh :

Danish and Norwegian:
option-a produces å
option-o produces ø
option-' produces æ

Both of these characters may be capitalized by using the shift key character. thus:
shift-option-a produces Å
shift-option-o produces Ø
shift-option-' produces Æ

Swedish:
option-a produces å
option-u + o produces ö
option-u + a produces ä

Both of these characters may be capitalized by using the shift character. thus:
shift-option-a produces Å
option-u + shift-o produces Ö
option-u + shift-A produces Ä 

Here is how you type the special Danish, Norwegian and Swedish vowels on a Windows-PC :

This is much more difficult, because you need to type the ASCII-code.

You can see the codes on this homepage:

http://babel.uoregon.edu/yamada/easy_fonts.html#windows