Blue Flute: Recovers from Sleep (250 steps)
Red Flute: Recovers from Attraction (500 steps)
Yellow Flute: Recovers from Confusion (500 steps)
White Flute: Encounter More Wild Pokémon (1000 steps)
Black Flute: Encounter Less Wild Pokémon (1000 steps)
Well, pink sapphire should be, well, pink.
Sapphire comes in any color other then red (if it's red, it's ruby), not just the pretty shades of colors. It is quite possible to have a bluish, lilacy colored sapphire. In fact, it probably isn't all that rare. The rarest (and most expensive) colors are those that are the most pleasing to the eye!
If your stone is indeed bluish, lilacy in color and you like it, great. I just wouldn't call it pink sapphire unless it is, well, pink.