Successful tests of χ² goodness of fit between the eigenfunctions of the 1D oscillating string system (blue crosses, observations) and the eigenfunctions of the 1D system using a coronal model for the density and magnetic field distribution (solid orange line, prediction). Our models have a χ² critical value of χ_crit² = 14 at α = 0.05 (95% significance level) with seven degrees of freedom. Bottom panels: Purely coronal system. Top and middle: Full-length 1D system. Shown are observations fit with the first harmonic of our predicted 1D model (left column) and the second harmonic (right). The first, second, third, and sixth harmonic are used as observations. The predicted scale height, magnetic field, scaling parameter, and χ² test result are included in each panel.