Vasovagal syncope is a transient loss of consciousness, with neurological, metabolic, psychiatric, and cardiac causes. Palpitations are characterized by abnormally rapid or irregular heartbeats and in some cases fainting. Determination of cause may be determined by patient history and physical examination including an ECG and head-up tilt testing (HUTT). However, HUTT bears some risks such as fainting and arrhythmia in syncope patients as well as being uncomfortable, and does not distinguish between palpitations and vasovagal syncope. Alternative diagnostic tools are therefore of interest, and this work examines the usefulness of Heart Rate Variability (HRV) obtained from 24-hour ECG recordings. The study included 98 females (21 syncope, and 72 palpitations) and 49 males (7 syncope, 23 palpitations). All patients had a normal sinus rhythm. A range of entropy measures were calculated for each recording and Mann-Whitney tests were used to compare syncope and palpitations groups. Rényi entropy provides a significant result for positive exponents, where the 2-group comparison has a p-value as low as 0.00031. Tsallis entropy showed similar results. Gamma entropy provides evidence of separation with a p-value as low as 0.000239. Out of other entropy measures, the Beta entropy provided a low p-value of 0.000246. SNorm entropy provided a low p-value of 0.000301. These entropies are associated with a parameter that was varied in order to investigate the robustness of the group separation. Generally these low p-values were maintained over a range of the parameter for each measure. These results suggest that short heart rate recordings, possibly during a clinic visit, can differentiate between syncope and palpitations and hence not requiring HUTT. Further research is required including determining the diagnostic accuracy for individual patients with unknown syncope or palpitation based on HRV and entropy analysis.