What is the logic behind the ordering of non-alphanumeric characters in Finder, when sorting by filename?

Question

You probably know that Finder uses natural sort order rather than ASCII order, when sorting files by name. See:

• How does finder sort folders when they contain digits and characters?

• https://developer.apple.com/library/archive/documentation/FileManagement/Conceptual/FileSystemProgrammingGuide/FileSystemDetails/FileSystemDetails.html

• and particularly https://web.archive.org/web/20070821004601/http://docs.info.apple.com/article.html?artnum=300989

Recently, I was trying to reproduce the exact sorting behavior of Finder in some code. Punctuation and symbols come before letters and numbers, but I do not understand the ordering within the class of punctuation marks.

I found a blog post (original source here) where the ordering for some special characters was worked out. I did some experimenting to fill in the gaps in the table. The complete ordering (with ASCII values) appears to be as follows:

_  underscore           0x5f
-  dash (hyphen)        0x2d
,  comma                0x2c
;  semicolon            0x3b
!  exclamation point    0x21
?  question mark        0x3f
.  period               0x2e
'  single quote         0x27
"  double quote         0x22
(  open parenthesis     0x28
)  close parenthesis    0x29
[  open bracket         0x5b
]  close bracket        0x5d
{  open brace           0x7b
}  close brace          0x7d
@  at symbol            0x40
*  asterisk             0x2a
/  forward slash        0x2f
\  backward slash       0x5c
&  ampersand            0x26
#  number sign          0x23
%  percent sign         0x25
`  backtick             0x60
^  caret                0x5e
+  plus sign            0x2b
<  less than            0x3c
=  equal sign           0x3d
>  greater than         0x3e
|  vertical bar         0x7c
~  tilde                0x7e
$  dollar sign          0x24

Can someone explain to me the logic behind this ordering?