Training your ear is the first step in music education, as it is very valuable for all musicians as more advanced repertory is learned. When your ears are well-trained, it's much easier to memorize music, and to know exactly where you are and what might have gone awry in a memory slip if you understand how the parts relate to each other and to what has gone before and comes after. The most basic ear training is recognizing the relationships between two notes, also called intervals. See how well you can recognize these intervals in our interval game! To advance further in music education, it’s recommended that you obtain a formal education from a teacher.
From a mathematical standpoint, the musical possibilities remaining are incomprehensibly vast. There is so much music of explosive caliber left to be made. What has been created so far is just the tip of the iceberg, and we must study and respect the history of music. The underlying compositional power that fueled the best musical works in musical history is still intact in people today.