Description
fineMass = grossMass*fineness; gap = fineMass-referenceFineMass.
Coin mass, fine-metal content, face value and market value are different historical quantities. Weight and fineness can yield metal content, but metal ratios alone do not establish official standards, authenticity or purchasing power.
fineMass = grossMass*fineness; gap = fineMass-referenceFineMass.
When to use this tool
Use Coinage Face Fine Weight Gap when checking supplied coin or precious-metal quantities.
How to use the tool and how it works
- Enter grossMass, fineness, suppliedReferenceFineMass. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read fineMass, gap. Use the output convention below.
Require nonnegative grossMass and suppliedReferenceFineMass and fineness in [0,1]. fineMass = grossMass*fineness; gap = fineMass-referenceFineMass.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| grossMass | Gross Mass | Required. Finite number; minimum 0. |
| fineness | Fineness | Required. Finite number; minimum 0; maximum 1. |
| suppliedReferenceFineMass | Supplied Reference Fine Mass | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| fineMass | Fine Mass | Required. Finite number. |
| gap | Signed difference from the stated reference, using compatible units. | Required. Finite number. |
{
"input": {
"grossMass": 10,
"fineness": 0.8,
"suppliedReferenceFineMass": 7
},
"output": {
"fineMass": 8,
"gap": 1
}
}Limitations and assumptions
- Use one mass unit and raw fineness fraction. The title's face reference does not introduce face-value arithmetic; authenticity, assay accuracy and official coin standards are not checked.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use appropriate archival and numismatic evidence for denomination, assay, legal standard and historical market interpretation.
References
Similar or alternative tools
- Coin Metal Content Fineness Term
fineGrams = (grossGrams-wearGrams)*fineness.
- Historic Currency Debasement Metal Ratio
metalRatio = newWeight*newFineness/(oldWeight*oldFineness); metalLossFraction = 1-metalRatio.