Golden Ratio Calculator
Split a total length into two parts whose ratio is the golden ratio φ.
Description
Split a total length into two parts whose ratio is the golden ratio φ.
Split a total length into two parts whose ratio is the golden ratio φ.
When to use Golden Ratio Calculator
Use this calculator to verify a hand calculation, normalize a value before another tool, or make the exact arithmetic convention explicit in a reproducible workflow.
- Total
- Total length to divide.
How the calculation works
The formula below determines the tool output. Larger part: Larger part, equal to total divided by φ. Smaller part: Smaller part, equal to total minus the larger part.1
φ = (1 + √5) / 2; larger = total / φ; smaller = total − larger Limitations and assumptions
Calculations use JavaScript number arithmetic. Binary floating-point representation can make some decimal results inexact, and values outside the supported numeric range can overflow or lose precision. Round only for presentation unless the selected rounding tool is itself the intended operation.
Alternative or Complementary approaches
Use the inverse operation to check a result when one exists: addition pairs with subtraction, multiplication with division, and powers with roots. For rounding or normalization tools, retain the unmodified value when later calculations still require full precision.
References
-
Golden ratio — Wikipedia contributors
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