The Frequency of Maximum Power as a Surface-Gravity Meter: Scaling Values and the Precision TESS Needs

Stellar oscillation power is not spread evenly across the spectrum. This paper computes, from stated assumptions and published stellar values, a quantitative budget for the frequency of maximum power using surface gravities and temperatures across the giant and dwarf range. The headline results are: numax logg25 = 39; numax logg35 = 365; logg err 5pct dex = 0.022; numax solar check = 3090. Every number in the abstract and the results section is produced by the deposited computation script from the inputs stated in the Methods, with no fitted parameters beyond those declared. The study is simulated and computed from stated assumptions; it is not a measurement, and its value lies in making the size, sensitivity and failure conditions of the effect explicit enough for observation to confirm or refute.