number of symbols per zone with the number of rings or circles incorporated in each predominant symbol. The special symbols in Zone 5 are assigned the value of 38, as indicated by their number. Example Zone 12 is dominated by 20 repetitions of punched symbol No. 14, a circular disc symbol surrounded by 5 concentric circles. Thus, the symbol has the value of 20 × 5 = 100. The smaller ring symbols placed between the larger repetitions of No. 14 are considered as mere ornaments and thus not counted. Through this system, the Hats can be used to calculate a lunisolar calendrical system, i.e. a direct reading in either lunar or solar dates, as well as the conversion between them. The table can be used in the same way as the original Golden Hats. To determine the number of days in a specific time period (yellow fields), the values of the coloured fields above are added, reaching an intermediate sum. If any of the red intercalary zones are included, their sum has to be subtracted. This allows the calculation of 12, 24, 36, 48, 54, and 57 synodic months in the lunar system and of 12, 18, 24, 36, 48, 54, and 57 solar months (twelfths of a tropical year). Example To determine a 54 month cycle in the lunar system, the numerical values of the green or blue Zones 3 to 21 are added, reaching a sum of 1,739 days. From this, the values of the red intercalary fields 5, 16, and 17 are subtracted, The result is 1739 − 142 = 1597 days, exactly 54 synodic months of 29.5305 days each. The overall discrepancy of 2 days to the astronomically accurate value is probably the result of a slight imprecision in the Bronze Age observation of synodic and solar month. Provenance and find history The Berlin Gold Hat was put on sale in the international arts trade in 1995. In 1996, the Berlin Museum für Vor- und Frühgeschichte bought it as an important Bronze Age artefact. The seller claimed that the object came from an anonymous Swiss private collection that had been assembled in the 1950s and 1960s. It is assumed that the object was found in Southern Germany or Switzerland. No further details are known. The good preservation of the cone suggests that, like the Schifferstadt example, it must have been carefully filled with soil or ashes