In the faint star KIC 9700322 observed by the Kepler satellite , 76 frequencies with amplitudes from 14 to 29000 ppm were detected . The two dominant frequencies at 9.79 and 12.57 d ^ { -1 } ( 113.3 and 145.5 \mu Hz ) , interpreted to be radial modes , are accompanied by a large number of combination frequencies . A small additional modulation with a 0.16 d ^ { -1 } frequency is also seen ; this is interpreted to be the rotation frequency of the star . The corresponding prediction of slow rotation is confirmed by a spectrum from which v \sin i = 19 \pm 1 km s ^ { -1 } is obtained . The analysis of the spectrum shows that the star is one of the coolest \delta Sct variables . We also determine T _ { eff } = 6700 \pm 100 K and \log g = 3.7 \pm 0.1 , compatible with the observed frequencies of the radial modes . Normal solar abundances are found . An \ell = 2 frequency quintuplet is also detected with a frequency separation consistent with predictions from the measured rotation rate . A remarkable result is the absence of additional independent frequencies down to an amplitude limit near 14 ppm , suggesting that the star is stable against most forms of nonradial pulsation . A low frequency peak at 2.7763 d ^ { -1 } in KIC 9700322 is the frequency difference between the two dominant modes and is repeated over and over in various frequency combinations involving the two dominant modes . The relative phases of the combination frequencies show a strong correlation with frequency , but the physical significance of this result is not clear .