We calculate the redshift-space power spectrum of the Sloan Digital Sky Survey ( SDSS ) Luminous Red Galaxy ( LRG ) sample , finding evidence for a full series of acoustic features down to the scales of \sim 0.25 h \mathrm { Mpc } ^ { -1 } . This corresponds up to the 9. peak in the CMB angular power spectrum . The acoustic scale derived , ( 107.8 \pm 4.3 ) h ^ { -1 } \mathrm { Mpc } ( k \lesssim 0.2 h \mathrm { Mpc } ^ { -1 } ) , agrees very well with the “ concordance ” model prediction and also with the one determined via the analysis of the spatial two-point correlation function by . This is not only an independent confirmation of results made with different methods and software but also , according to our knowledge , the first determination of the power spectrum of the SDSS LRG sample . By calculating the two-point correlation function using the smooth cubic spline model fitted to the observed bandpowers and comparing with the results of the direct determination we demonstrate the consistency of our results .