How to encode 32-bit Unicode characters in a PowerShell string literal?

This Stack Overflow question deals with 16-bit Unicode characters. I would like a similar solution that supports 32-bit characters. See this link for a listing of the various Unicode charts. For example, a range of characters that are 32-bit are the Musical Symbols.

The answer in the question linked above doesn't work because it casts the System.Int32 value as a System.Char, which is a 16-bit type.

Edit: Let me clarify that I don't particularly care about displaying the 32-bit Unicode character, I just want to store the character in a string variable.

Edit #2: I wrote a PowerShell snippet that uses the info in the marked answer and its comments. I would have wanted to put this in another comment, but comments can't be multi-line.

$inputValue = '1D11E'
$hexValue = [int]"0x$inputValue" - 0x10000
$highSurrogate = [int]($hexValue / 0x400) + 0xD800
$lowSurrogate = $hexValue % 0x400 + 0xDC00
$stringValue = [char]$highSurrogate + [char]$lowSurrogate

Dour High Arch still deserves credit for the answer for helping me finally understand surrogate pairs.

Solution

Assuming PowerShell uses UTF-16, 32-bit code points are represented as surrogates. For example, U+10000 is represented as:

0xD100 0xDC00

That is, two 16-bit chars; hex D100 and DC00.

Good luck finding a font with surrogate chars.