  Using data from the Helioseismic Magnetic Imager, we report on the amplitudes
and phase relations of oscillations in quiet-Sun, plage, umbra and the polarity
inversion line (PIL) of an active region NOAA$\#$11158. We employ Fourier,
wavelet and cross correlation spectra analysis. Waves with 5-minute periods are
observed in umbra, PIL and plage with common phase values of
${\phi}(v,I)=\frac{\pi}{2}$, ${\phi}(v,B_{los})=-\frac{\pi}{2}$. In addition,
${\phi}(I,B_{los})=\pi$ in plage are observed. These phase values are
consistent with slow standing or fast standing surface sausage wave modes. The
line width variations, and their phase relations with intensity and magnetic
oscillations, show different values within the plage and PIL regions, which may
offer a way to further differentiate wave mode mechanics. Significant Doppler
velocity oscillations are present along the PIL, meaning that plasma motion is
perpendicular to the magnetic field lines, a signature of Alv\`enic waves. A
time-distance diagram along a section of the PIL shows Eastward propagating
Doppler oscillations converting into magnetic oscillations; the propagation
speeds range between 2$-$6 km s$^{-1}$. Lastly, a 3-minute wave is observed in
select regions of the umbra in the magnetogram data.
