Best way to alphabetize a series of strings?

Hey, and thanks for reading in advance.

In the options menu of a fighting game I’m helping to code, there’s a window where you can play any song used in the various stages and modes. I want to alphabetize the songs by name, so I came up with a lengthy sort function - I just wanted to see if anyone had a shorter or more optimal method.

Code:

local titles = {"Avalanche", "Bob-omb Battlefield", "C.R.O.W.N.E.D.", "Death by Glamour"}

function alphabetize(list)
	local alphabet = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
	local letters = {}
	
	for letter in alphabet:gmatch("%a") do
		letters[#letters+1] = letter
	end
	
	table.sort(list, function(a, b)
		local priorityA, priorityB = 0, 0
		
		for _,char in a:gmatch("%a") do
			for i,letter in ipairs(letters) do
				if char == letter then
					priorityA = priorityA + i
					break
				end
			end
		end
		
		for _,char in b:gmatch("%a") do
			for i,letter in ipairs(letters) do
				if char == letter then
					priorityB = priorityB + i
					break
				end
			end
		end
		
		return priorityA < priorityB
	end)
	
	return list
end

for _,title in pairs(alphabetize(titles)) do
	print(title)
end
table.sort( titles )

will sort them alphabetically from a to Z.

table.sort( titles, function ( a, b )
    return a > b
end )

will sort them alphabetically from Z to a.

Wow, are you serious? Didn’t know that was built-in behavior. I feel silly, now.
But hey, at least what I had worked, right?