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We present results obtained from full-disk, 1000$\times$1024 pixel, Ca II intensity images of the Sun collected with the High-L Helioseismometer (HLH). Our measurement of $p$- and $f$-mode oscillation frequencies over the frequency range 1.8$\le$$\nu$$\le$5.0 mHz and the spherical harmonic degree range 100$\le$$l$$\le$1200 from 22-25 June 1993 data represents an improvement over previous measurements. We are able to differentiate among the predictions of several solar models, thus constraining physical models of the solar convection zone. We also include recent splitting and frequency results from data collected during the entire month of June 1994. The purpose of the HLH research program is to measure high-degree solar oscillation parameters for the remainder of this decade in support of the Solar Oscillations Investigation - Michelson Doppler Imager collaboration, which is part of the Solar and Heliospheric Observatory, a joint ESA-NASA satellite mission.
