Example question: Can a chord contain both the C and C♯ notes? (as opposed to containing C and D♭ notes)

I don't know how much trouble the author went through to get those symbols, but he has got ♭, ♮ and ♯.

Questions written like this do look a little better, and I would not be surprised if there were other musical symbols in the character set that would fit nicely.

Lets at least place a sentence in the Ask Question and Edit Question pages so that a user can simply select and drag or copy/paste one of these symbols into view.

A small line of text anywhere on the page

You may select and drag any of these symbols into your question: (♭ ♮ ♯ ♪ ♫ ♩)

Possibly in the right hand sidebar, but make sure you update Edit as well as Ask. Perhaps just a line under the textarea.

If you want to save space, you could just place an undocumented ♭ ♮ ♯ ♪ ♫ ♩ anywhere on the page.

To take it a step further, they could be editor buttons, but that is not necessary.