How do you save in the Legend of Zelda link's awakening?

In Majoras mask, there are special owl statues that you have to hit with your sWord (these statues also act as warp points, when you use the song of soaring). After you hit one of these statues, you press A to 'talk' to them, and it will give you the option to save and quit.

Or you can play the song of time, and the game will ask you if you wish to save, and return to the first day.