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In this paper, we present an analysis of the pulsating behavior of Keplertarget KIC 9845907. Using the data from Kepler, we detected 85 significantfrequencies, including the first overtone $f_{1}$ = 17.597 day$^{-1}$ as thedominant frequency, the non-radial independent frequency $f_{3}$ = 31.428day$^{-1}$ ($\ell$=1), as well as two modulation terms $f_{m1}$ = 0.065day$^{-1}$ and $f_{m2}$ = 1.693 day$^{-1}$. We found fourteen pairs of tripletstructures with $f_{m1}$ or $f_{m2}$, four pairs of which can further formquintuplet structures. We note these are the most intriguing featuresdiscovered in this study and they were recognized for the first time in$\delta$ Scuti stars. We discussed several possible explanations, i.e.,beating, the Blazhko effect, combination mode hypothesis, nonlinear modecoupling, large separation, and stellar rotational splitting for theseequidistant structures. Our asteroseismic models indicate this modulation with$f_{m1}$ might be related to the rotational splitting. The study of more$\delta$ Scuti stars with triplet and/or quintuplet structures usinghigh-precision space photometry would be helpful to further explore its origin.

KIC 9845907: A $\delta$ Scuti star with the first overtone as the dominant frequency and with many equidistant structures in its spectrum