The first note of the Hermit Thrush's song with its higher harmonics written as separate notes on a musical staff. The bird sings 4 octaves higher than scored. The higher harmonics give a set of pitches that are naturally related to the fundamental. These pitches can then be heard by themselves. Sonogram of Song Sparrow song.
Time intervals are in seconds.
The beginning of the Song Sparrow's song. The bird sings 4 octaves higher than scored. Hear the song Song at half-speed How to incorporate these natural harmonics into a musical scale is the basic mathematical problem in music. In this column we will examine this particular case and the approximate solution, known as Equal Temperament, which is used in tuning pianos today. Natural harmony 2.