In what order do you play the flute notes on mythology island?

Other than the music lesson from Euterpe in the Temple of Muses*, there are only two times you use the reed pipe (Flute). One is to open the door to the Minotaur's lair in the Garden of the Sphinx. The order (blue-blue-green-yellow-yellow-red-blue-green) is shown on the circular pattern on the door. The second use is to lull the dog-beast Cerberus in the realm of Hades. Playing the tune ( blue-green-yellow-blue-red-green) will make him snooze and you can grab a whisker from him (one of the 5 sacred items).

*The reed pipe comes from inside the Temple of Muses (Temple to Apollo).