Observations on Tune and $\beta$ Functions at the ATF Damping Ring

The precise measurement of the transverse tunes and their spectra is a basic demand in accelerator commissioning. It provides a simple access to lattice characterisation and validation of the optical model. This contribution describes recent improvements of the tune monitor system at the Accelerator Test Facility Damping Ring (ATF-DR) and the performance achieved. We present preliminary measurement results of beta functions, chromaticity, and dispersion on a relaxed optics with 90 degree horizontal phase advance per cell and compare these with the theoretical predictions.