Computes the interval between two fractions and returns the result as a simplified fraction.
This function calculates the ratio between two fractions, which is essential for
determining musical intervals in just intonation and other tuning systems.
The result is automatically simplified using the Greatest Common Divisor.
Mathematical formula: (c/d) / (a/b) = (c * b) / (d * a)
Parameters
firstFraction: string
The first fraction in "numerator/denominator" format (e.g., "3/2")
secondFraction: string
The second fraction in "numerator/denominator" format (e.g., "4/3")
Returns string
The interval as a simplified fraction string
Example
// Calculate interval from 3/2 to 4/3 computeFractionInterval("3/2", "4/3") // Returns "8/9" (the simplified result of (4*2)/(3*3))
Example
// Calculate interval from 5/4 to 6/5 computeFractionInterval("5/4", "6/5") // Returns "24/25"
Computes the interval between two fractions and returns the result as a simplified fraction.
This function calculates the ratio between two fractions, which is essential for determining musical intervals in just intonation and other tuning systems. The result is automatically simplified using the Greatest Common Divisor.
Mathematical formula: (c/d) / (a/b) = (c * b) / (d * a)