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Color Swatch Pigment Mass Fraction Tool

Dry fraction assumes all solvent evaporates and all pigment and binder remain.

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Description

Dry fraction assumes all solvent evaporates and all pigment and binder remain.

Studio measurements translate a design into lengths, areas, volumes, angles, proportions, and material quantities. Consistent units and an explicit geometric model make the calculation interpretable. Real materials, fabrication allowances, visual judgments, and installation conditions require information beyond a geometric term.

Dry fraction assumes all solvent evaporates and all pigment and binder remain.

When to use this tool

Use Color Swatch Pigment Mass Fraction when you need a geometric or material-budget term for a supplied studio design before checking real material and installation conditions.

How to use the tool and how it works

  1. Enter pigmentMass, binderMass, solventMass. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read wetFraction, dryFraction. Use the output convention below.

Return wetFraction=pigmentMass/(pigmentMass+binderMass+solventMass) and dryFraction=pigmentMass/(pigmentMass+binderMass). Require nonnegative masses with a positive pigment-plus-binder sum.1

Input fieldMeaning and unitsAccepted input
pigmentMassPigment MassRequired. Finite number; minimum 0.
binderMassBinder MassRequired. Finite number; minimum 0.
solventMassSolvent MassRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
wetFractionWet FractionRequired. Finite number.
dryFractionDry FractionRequired. Finite number.
json
{
  "input": {
    "pigmentMass": 2,
    "binderMass": 3,
    "solventMass": 5
  },
  "output": {
    "wetFraction": 0.2,
    "dryFraction": 0.4
  }
}

Limitations and assumptions

  • The dry-basis formula assumes solvent alone is omitted. It does not model retained solvent, binder volatility, density, color strength, curing, or material safety.
  • The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
  • 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. Signed zero is exported as zero.

Alternative or Complementary methods

Use measured material allowances and a complete drawing or fabrication model when physical behavior matters. The supplied geometric term can be one input to that separate process.

References

  1. Calculation and input contract: visual-arts/color-swatch-pigment-mass-fraction — tool.io

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