Description
Return hatching spacing and reciprocal density ratios.
Artwork measurements distinguish physical dimensions, projected regions and scale conventions. Length, area and volume change with different powers of a scale, while frame overlaps and crop geometry depend on which boundaries were measured. A numerical fit does not identify an artwork or establish its historical interpretation.
Return hatching spacing and reciprocal density ratios.
When to use this tool
Use Engraving Hatching Line Spacing Ratio when checking the stated artwork dimension, crop, frame or scale relation.
How to use the tool and how it works
- Enter firstSpacing, secondSpacing. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read spacingRatio, densityRatio. Use the output convention below.
Return hatching spacing and reciprocal density ratios. Require both spacings > 0; spacingRatio = first/second, densityRatio = second/first.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| firstSpacing | First Spacing | Required. Finite number; strictly above 0. |
| secondSpacing | Second Spacing | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| spacingRatio | Spacing Ratio | Required. Finite number. |
| densityRatio | Density Ratio | Required. Finite number. |
{
"input": {
"firstSpacing": 0.5,
"secondSpacing": 1
},
"output": {
"spacingRatio": 0.5,
"densityRatio": 2
}
}Limitations and assumptions
- This assumes comparable regular line families; no image measurement, tonal value or historical technique is inferred.
- 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
Inspect the original object, measured boundaries and appropriate complete geometry or catalog record for physical or historical conclusions.
References
Similar or alternative tools
- Color Reproduction Crop Scale Factor
Return horizontal/vertical crop reproduction scales.
- Painting Grid Transfer Square Size
Return drawing-grid scale from source and target widths.