How to set iTunes 11 in shuffle or repeat mode via applescript

Question

According to http://dougscripts.com/ setting shuffle and repeat modes via applescript is broken in iTunes 11.

According to this stackoverflow answer shuffle is now a

Answer 1

It looks like many of these scripts are broken in the newest iTunes. Here are two the work:

tell application "System Events" to tell UI element "iTunes" of list 1 of process "Dock"
    if not (exists) then return
    perform action "AXShowMenu"
    click menu item "Shuffle" of menu 1
end tell

That one toggles shuffle via the Dock. You can watch the Dock menu animate when you use it.

This one toggles shuffle via the menu, invisibly:

tell application "System Events"
    tell application process "iTunes"
        tell menu 1 of menu item "Shuffle" of menu "Controls" of menu bar 1
            if (value of attribute "AXMenuItemMarkChar" of item 1 of menu items as string) = "✓" then
                click menu item 2
            else
                click menu item 1
            end if
        end tell
    end tell
end tell

Both of these will work even with iTunes is in the background.