Excellent question!
The answer is the mathematical letters. This past December I did a scan of the entire PubMed Open Access corpus, and came up with these figures for astral characters in it.
The first number in the figures below is how many copies of each given code point I found in the entire corpus. First, though, to give you a notion on the relative frequencies, here are the top ten trans-ASCII code points in that corpus:
2663710 U+002013 ‹–› GC=Pd EN DASH
1065594 U+0000A0 ‹ › GC=Zs NO-BREAK SPACE
1009762 U+0000B1 ‹±› GC=Sm PLUS-MINUS SIGN
784139 U+002212 ‹−› GC=Sm MINUS SIGN
602377 U+002003 ‹ › GC=Zs EM SPACE
528576 U+0003BC ‹μ› GC=Ll GREEK SMALL LETTER MU
519669 U+0003B2 ‹β› GC=Ll GREEK SMALL LETTER BETA
512312 U+0003B1 ‹α› GC=Ll GREEK SMALL LETTER ALPHA
491842 U+00200A ‹ › GC=Zs HAIR SPACE
462505 U+0000B0 ‹°› GC=So DEGREE SIGN
And here now are the trans-BMP code points, in order of decending frequency:
544 U+01D49E ‹𝒞› GC=Lu MATHEMATICAL SCRIPT CAPITAL C
450 U+01D4AF ‹𝒯› GC=Lu MATHEMATICAL SCRIPT CAPITAL T
385 U+01D4AE ‹𝒮› GC=Lu MATHEMATICAL SCRIPT CAPITAL S
292 U+01D49F ‹𝒟› GC=Lu MATHEMATICAL SCRIPT CAPITAL D
285 U+01D4B3 ‹𝒳› GC=Lu MATHEMATICAL SCRIPT CAPITAL X
262 U+01D4A9 ‹𝒩› GC=Lu MATHEMATICAL SCRIPT CAPITAL N
258 U+01D4AB ‹𝒫› GC=Lu MATHEMATICAL SCRIPT CAPITAL P
254 U+01D4A2 ‹𝒢› GC=Lu MATHEMATICAL SCRIPT CAPITAL G
185 U+01D49C ‹𝒜› GC=Lu MATHEMATICAL SCRIPT CAPITAL A
178 U+01D53C ‹𝔼› GC=Lu MATHEMATICAL DOUBLE-STRUCK CAPITAL E
137 U+01D4AA ‹𝒪› GC=Lu MATHEMATICAL SCRIPT CAPITAL O
56 U+01D4A5 ‹𝒥› GC=Lu MATHEMATICAL SCRIPT CAPITAL J
48 U+01D4A6 ‹𝒦› GC=Lu MATHEMATICAL SCRIPT CAPITAL K
44 U+01D4B1 ‹𝒱› GC=Lu MATHEMATICAL SCRIPT CAPITAL V
43 U+01D4B2 ‹𝒲› GC=Lu MATHEMATICAL SCRIPT CAPITAL W
42 U+01D4B4 ‹𝒴› GC=Lu MATHEMATICAL SCRIPT CAPITAL Y
41 U+01D4B5 ‹𝒵› GC=Lu MATHEMATICAL SCRIPT CAPITAL Z
35 U+01D4B0 ‹𝒰› GC=Lu MATHEMATICAL SCRIPT CAPITAL U
30 U+01D4AC ‹𝒬› GC=Lu MATHEMATICAL SCRIPT CAPITAL Q
23 U+01D54A ‹𝕊› GC=Lu MATHEMATICAL DOUBLE-STRUCK CAPITAL S
21 U+01D539 ‹𝔹› GC=Lu MATHEMATICAL DOUBLE-STRUCK CAPITAL B
19 U+01D5A7 ‹𝖧› GC=Lu MATHEMATICAL SANS-SERIF CAPITAL H
18 U+01D517 ‹𝔗› GC=Lu MATHEMATICAL FRAKTUR CAPITAL T
15 U+01D4C3 ‹𝓃› GC=Ll MATHEMATICAL SCRIPT SMALL N
14 U+01D535 ‹𝔵› GC=Ll MATHEMATICAL FRAKTUR SMALL X
13 U+01D4BF ‹𝒿› GC=Ll MATHEMATICAL SCRIPT SMALL J
11 U+01D540 ‹𝕀› GC=Lu MATHEMATICAL DOUBLE-STRUCK CAPITAL I
9 U+01D465 ‹𝑥› GC=Ll MATHEMATICAL ITALIC SMALL X
9 U+01D4CE ‹𝓎› GC=Ll MATHEMATICAL SCRIPT SMALL Y
9 U+01D538 ‹𝔸› GC=Lu MATHEMATICAL DOUBLE-STRUCK CAPITAL A
8 U+01D4C2 ‹𝓂› GC=Ll MATHEMATICAL SCRIPT SMALL M
8 U+01D54D ‹𝕍› GC=Lu MATHEMATICAL DOUBLE-STRUCK CAPITAL V
7 U+01D4B6 ‹𝒶› GC=Ll MATHEMATICAL SCRIPT SMALL A
7 U+01D4BE ‹𝒾› GC=Ll MATHEMATICAL SCRIPT SMALL I
7 U+01D4CC ‹𝓌› GC=Ll MATHEMATICAL SCRIPT SMALL W
7 U+01D516 ‹𝔖› GC=Lu MATHEMATICAL FRAKTUR CAPITAL S
7 U+01D4BE ‹𝒾› GC=Ll MATHEMATICAL SCRIPT SMALL I
7 U+01D4CC ‹𝓌› GC=Ll MATHEMATICAL SCRIPT SMALL W
7 U+01D516 ‹𝔖› GC=Lu MATHEMATICAL FRAKTUR CAPITAL S
4 U+01D4CF ‹𝓏› GC=Ll MATHEMATICAL SCRIPT SMALL Z
4 U+01D53B ‹𝔻› GC=Lu MATHEMATICAL DOUBLE-STRUCK CAPITAL D
4 U+01D54B ‹𝕋› GC=Lu MATHEMATICAL DOUBLE-STRUCK CAPITAL T
3 U+01D4BB ‹𝒻› GC=Ll MATHEMATICAL SCRIPT SMALL F
3 U+01D4CA ‹𝓊› GC=Ll MATHEMATICAL SCRIPT SMALL U
3 U+01D507 ‹𝔇› GC=Lu MATHEMATICAL FRAKTUR CAPITAL D
3 U+01D542 ‹𝕂› GC=Lu MATHEMATICAL DOUBLE-STRUCK CAPITAL K
3 U+01D546 ‹𝕆› GC=Lu MATHEMATICAL DOUBLE-STRUCK CAPITAL O
2 U+01D4BD ‹𝒽› GC=Ll MATHEMATICAL SCRIPT SMALL H
2 U+01D4C5 ‹𝓅› GC=Ll MATHEMATICAL SCRIPT SMALL P
2 U+01D505 ‹𝔅› GC=Lu MATHEMATICAL FRAKTUR CAPITAL B
2 U+01D50E ‹𝔎› GC=Lu MATHEMATICAL FRAKTUR CAPITAL K
2 U+01D541 ‹𝕁› GC=Lu MATHEMATICAL DOUBLE-STRUCK CAPITAL J
2 U+01D543 ‹𝕃› GC=Lu MATHEMATICAL DOUBLE-STRUCK CAPITAL L
2 U+100002 ‹› GC=Co <private use character>
1 U+01D4B8 ‹𝒸› GC=Ll MATHEMATICAL SCRIPT SMALL C
1 U+01D4C1 ‹𝓁› GC=Ll MATHEMATICAL SCRIPT SMALL L
1 U+01D53D ‹𝔽› GC=Lu MATHEMATICAL DOUBLE-STRUCK CAPITAL F
1 U+01D53E ‹𝔾› GC=Lu MATHEMATICAL DOUBLE-STRUCK CAPITAL G
1 U+01D54C ‹𝕌› GC=Lu MATHEMATICAL DOUBLE-STRUCK CAPITAL U
1 U+01D6A4 ‹𝚤› GC=Ll MATHEMATICAL ITALIC SMALL DOTLESS I
1 U+01D7D9 ‹𝟙› GC=Nd MATHEMATICAL DOUBLE-STRUCK DIGIT ONE
I really wish I knew what they were using U+100002 to do. :(
If those aren't showing up in your browser, you should install George Douros’s Symbola font or another mirror for dowload. It also has all the fun Unicode 6.0.0 code points in it, too.