Artist pigment tinting test scale calculator

Calculate scaled recipe masses and scale factor with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use scaled recipe masses and scale factor to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

JSON Test components [pigment ID,mass g]
[["A",2],["B",3],["white",5]]
Desired total batch mass (g)
100
Scaled recipe masses (g)
[["A",20],["B",30],["white",50]]
Scale factor
10

Try another scenario

JSON Test components [pigment ID,mass g]
[["A",2],["B",3],["white",5]]
Desired total batch mass (g)
175
Scaled recipe masses (g)
[["A",35],["B",52.5],["white",87.5]]
Scale factor
17.5
Calculation method

Calculation method

Scaled recipe masses (g)

J([[r[0],r[1]*b/sum(q[1] for q in a)] for r in a])

Scale factor

b/sum(r[1] for r in a)

Symbols and units
a
JSON Test components [pigment ID,mass g]
b
Desired total batch mass (g)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Calculation steps and notation

sum(list) adds all entries in the list.

Assumptions & limits

Assumptions & limits

  • Linear mass recipe scaling from a user-tested mixture, positive test total. No pigment compatibility or colorimetric equivalence claim. Supported limits: All numeric inputs must be finite. Only the explicitly described mathematical scenario is supported.
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