Histograms of the wave period detected from the decomposed fractional fluctuations of (a) the column density and (c) local density. In panels a and c, the counts for fast magnetoacoustic waves and slow magnetoacoustic waves are shown separately in addition to the total counts. Panels b, d: Comparison of the period histogram of the density fluctuations detected from the observations and the entire time series of the model. Panels b and d used the column density fluctuations and the local density fluctuations as the model data, respectively. In panels b and b, the observations are displayed in gray bins, and the models are shown in green bins. We use the observational data in the heliocentric distance range of 1.7−8.9 R_⊙ and the model data in the range of 2.0−8.9 R_⊙. The bin size is such that the whole range of 10¹ − 10⁴ is divided into 30 regular subintervals on a logarithmic scale.