Abstract Seven years data from underground muon telescopes are analyzed for components of 24h00m, 23h56m, 23h52m, 24h04m, and 24h08m mean solar time. Repeatable daily time-count profiles are obtained for the first two periods. Their count amplitudes are respectively 0.187 and 0.098 per cent. Both components have standard errors of 0.002 per cent. The last three periods gave amplitudes less than 0.02 per cent. The 24h00m period has a sharp maximum near 16 hour local time. The 23h56m period has a broad maximum at about 0700 right ascension which is split into two peaks at 0430 RA and 0900 RA. Suggestions are outlined for future development. It is recommended that the harmonic dial representation be abandoned in favor of true celestial surveying.