Sound waves can deeply influence our emotional state and certain combinations of waves sound particularly appealing. Chords in general are composed of three separate frequencies. A major chord is composed of a fundamental tone, a tone a major third above the fundamental and a tone a major fifth above. If the fundamental tone is of frequency 1 , the major chord consists of frequencies 1:1.25:1.5. A minor chord is likewise 1:1.2:1.5.

\[\delta=A \exp \left[i\left(2 \pi \omega_{i} t-k_{i} x\right)\right] \quad k_{i}=\frac{2 \pi}{\lambda_{i}}\]

Sum up the amplitudes for a major chord assuming \(A\) is the same for each, the fundamental frequency is \(220 \mathrm{~Hz}\), the speed of sound is \(343.2 \mathrm{~m} / \mathrm{s}\) and plot the waveforms you observe at \(x=0 ; 1\).