We present evidence for the detection of low radial order (n < 10) acoustic
modes of low angular degree, l = 0-2, in the 759 day long Global Oscillati
ons at Low Frequency and Michelson Doppler Imager time series. We used Rand
om-Lag Singular Cross-Spectrum Analysis, which searches for simultaneous os
cillatory components in two or more time series. We have determined II mode
s in the range n = 3-9, of which eight modes confirm the previous measureme
nts by Toutain et al. and three modes of l = 0 and n = 3, 5, and 6 are reli
ably measured for the first time. The errors of frequency determination are
also significantly reduced for several previously identified modes. New so
und speed inversion results suggest that the effect of inhomogeneous initia
l composition of the Sun should be included in the standard solar model.