Ge-rich Ge 1-x Si x alloys have been investigated using spectroscopic ellipsometry and photoluminescence at room temperature. Special emphasis was placed on the compositional dependence of the lowest-energy interband transitions. For x ≤ 0.05, a compositional range of particular interest for modern applications, we find E 0 = 0.799(1)+3.214(45)x+0.080(44)x 2 (in eV) for the lowest direct gap. The compositional dependence of the indirect gap is obtained from photoluminescence as E ind = 0.659(4)+1.18(17)x (in eV). We find no significant discrepancies between these results and extrapolations from measurements at higher Si concentrations. Such discrepancies had been suggested by recent work on Ge 1-x Si x films on Si. An accurate knowledge of the interband transition energies is an important requirement for the design of devices incorporating Ge-rich Ge 1-x Si x alloys and for the understanding of more complex systems, such as ternary Ge 1-x-y Si x Sn y alloys, in terms of its binary constituents.