Hourly determinations of the power spectra of the ULF geomagnetic disturbances in the period band of ∼30–512 sec have been made from data obtained at conjugate points near L = 4 on 3 consecutive days during the December solstice when Σ Kp = 2−, 0, and 1 (January 7, 8, and 9, 1971, respectively). The data from January 8 (Σ Kp = 0) are presented in detail in order to study ULF geomagnetic conditions during a time interval defined as ‘quiet’ by current measures of geomagnetic activity (i.e., the K index). The slope s of the frequency dependence of the power density log β ∝ −s log f is found to vary from ∼−1.0 to ∼−2.5 during the day for both the H and D components. The magnetic power at the conjugate points shows a diurnal dependence with higher intensities during local day at both conjugate stations. The power densities β are most conjugate during local day; during local night, when the southern station (Siple, Antarctica) is in continual daylight, the power density is largest at Siple. This relationship holds on the average for all 3 quiet days. A portion of the diurnal dependence of the conjugacy of the power may be associated with the Sq current system through field‐aligned currents, even though the Sq fields at the conjugate stations are observed to be strongly nonconjugate.