Regulations as to the fineness, denomination, and weight of riders.
A marc of fine gold struck into riders circulates for 374 florins. This is the regulation as to the weight.
The standard is exactly 11⁄12 fine, or 22 carats, without any remedy.
The denomination is 14 florins for every rider, the half rider in proportion. To discover therefore the quantity of fine gold in a rider, we must first divide 374 by 14, which will give the number of riders in the marc fine, viz. 26.714 riders; then we must say, if 26.714 riders contain a marc of fine gold, or 5120 aces, how much will one rider contain? The answer is 5120⁄26.714 = 191.65.
Quantity of fine gold in a florin of riders.
Divide this by 14, and you have the number of aces of fine gold contained in a florin of this currency, 191.65⁄14 = 13.69.
Here then is the exact weight of the fine gold contained in one florin of the currency in riders.
To put the ducat upon a par with riders it should circulate for 5 florins 4⅛ stivers.
Let us now examine how much a ducat ought to pass for, in order to be upon a par with the currency of the riders.
We have seen that a marc of fine gold is coined into 71.687 ducats. That number of ducats, therefore, to be upon a par with the riders, should be worth 374 florins. Divide, therefore, this last number by the first, you have 374⁄71.687 = 5.217 florins, which is a little more than 5 florins 4⅛ stivers.