Hamilton's scheme, as contained in his most remarkable paper, was for a silver unit or dollar of 371-1/4 grs. of pure silver and a ratio of 15, and instead of the allowance of 2 per cent. for waste and coinage the principle was adopted of free coinage--of delivering at the Mint the same weight of pure metal coined as should be brought to it in bullion or foreign coin. Hamilton justifies his ratio thus: "The difference established by custom in the United States between coined gold and coined silver has been stated to be nearly 1:15.6. This, if truly the case, would imply that gold was extremely overvalued in the United States, for the _highest actual_ proportion in any part of Europe very little, if at all, exceeds 1:15, and the average proportion throughout Europe is probably not more than 1:14.8." He also deduces his ratio of 15 as a mean between the two lately preceding issues of dollars. "Taking the rate of the late dollar of 374 grs., the proportion would be as 1:15.11. Taking the rate of the newest dollar of 374 grs., the proportion would be as 1:14.87. The mean of the two would give the proportion of 1:15 very nearly, less than the legal proportion in the coins of Great Britain, which is as 1:15.2, but somewhat more than the actual or market proportion, which is not quite 1:15." As to the express selection of one or other metal for the unit, Hamilton makes a departure which marks clearly that he was creating and not continuing a system, and that if bimetallism is a feature of modern conception that conception is due to American rather than French statesmanship:[18]--"Contrary to the ideas which have heretofore prevailed in the suggestions concerning a coinage for the United States, though not without much hesitation arising from a deference for those ideas, the secretary is, upon the whole, strongly inclined to the opinion that a preference ought to be given to neither of the metals for the monetary unit ... because this cannot be done effectually without destroying the office and character of one of them as money and reducing it to the situation of mere merchandise, which, accordingly, at different times, has been proposed from different and very reputable quarters, but which would probably be a greater evil than occasional variations in the unit, from the fluctuations in the relative value of the metals, especially if care be taken to regulate the proportion between them, with an eye to their average commercial value. To annul the use of either of the metals as money is to abridge the quantity of circulating medium." [Sidenote: UNITED STATES: SCHEME OF 1792]