How do I make a working, music shuffled playlist?

There's this script I have that is supposed to make music play in shuffled order. The only problem once the first song is over, it plays the first song again without transitioning to the next one.

math.randomseed(tick())
math.random() -- throw out first not-very-random value (known limitation of lua)

musicTable = --Making a table of music / your songs
{
    "rbxassetid://142305080",  -- 1 - Let's Groove
    "rbxassetid://671389213",  -- 2 - Can't Touch This
    "rbxassetid://609246843",  -- 3 - Take on Me
    "rbxassetid://1100823134", -- 4 - At Dawn
    "rbxassetid://681266896",  -- 5 - Safety Dance
    "rbxassetid://323743169",  -- 6 - Working for the Weekend
    "rbxassetid://442656036",  -- 7 - Don't you (Forget About Me)
    "rbxassetid://706699539",  -- 8 - Beat it
    "rbxassetid://838691861"   -- 9 - Hey you, you better keep walking!
}

while true do
    --Shuffle
    local index = math.random(1, #musicTable - 1) -- choose an item not from the end
    musicTable[1], musicTable[index] = musicTable[index], musicTable[1] -- switch with first item
    for i = 2, #musicTable-1 do -- do regular shuffle algorithm starting at 2nd item
        index = math.random(i, #musicTable)
        musicTable[i], musicTable[index] = musicTable[index], musicTable[i]
    end
    --Play music
    for i = 1, #musicTable do
        wait(1) -- Just creating a small pause before a random song plays
        script.Parent.SoundId = musicTable[i] --Choose song
        script.Parent:Play() --Play song
        script.Parent.Ended:wait() -- Waiting until the song has finished
    end
end

How can I fix this?

Your code to shuffle is useless pretty much as your code is just making the chosen song 1 every time it shuffles through.

Here is the fix c;

musicTable = --Making a table of music / your songs
{
    "rbxassetid://142305080",  -- 1 - Let's Groove
    "rbxassetid://671389213",  -- 2 - Can't Touch This
    "rbxassetid://609246843",  -- 3 - Take on Me
    "rbxassetid://1100823134", -- 4 - At Dawn
    "rbxassetid://681266896",  -- 5 - Safety Dance
    "rbxassetid://323743169",  -- 6 - Working for the Weekend
    "rbxassetid://442656036",  -- 7 - Don't you (Forget About Me)
    "rbxassetid://706699539",  -- 8 - Beat it
    "rbxassetid://838691861"   -- 9 - Hey you, you better keep walking!
}

local currentSong = 1 -- the 1st song plays
local sound = Instance.new("Sound") -- Creates a sound object
sound.Parent = game.SoundService -- Puts it in sound service so all players can hear it.


while true do
	print(currentSong)
	sound.SoundId = musicTable[currentSong]
	sound:Play()
	if currentSong~=#musicTable then -- Shuffles through the song now
		currentSong = currentSong+1
	else -- Resets the playlist.
		currentSong = 1
	end
	repeat wait() until sound.Playing==false 
end