A teacher plays two musical notes: Note X has a frequency of 400 Hz, and Note Y has a frequency of 800 Hz. Which statement about their pitches is correct?
Note Y has a higher pitch than Note X
Pitch is the characteristic of sound by which the ear judges it as shrill (high) or flat (deep). It is determined by the frequency of the sound: the higher the frequency, the higher the pitch.
Note X has a frequency of 400 Hz and Note Y has a frequency of 800 Hz. Since 800 Hz is greater than 400 Hz, Note Y is shriller, that is, it has the higher pitch.
In fact, Note Y has exactly double the frequency of Note X, which in music corresponds to the same note one octave higher.
Check: frequency ratio Y : X = 800 : 400 = 2 : 1, so the pitches cannot be equal, pitch clearly depends on frequency, and X, with half the frequency, is the lower note.
Hence, Note Y has a higher pitch than Note X.
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