United States calculator
Analyze a pitch-class set, prime form and interval vector
Analyze a pitch-class set using modulo-12 arithmetic to find unique pitch classes, normal order, transposed form, inversion, prime form and interval-class vector.
Normal order • inversion • interval classes
Calculator inputs
Pitch-Class Set Calculator results
How this Pitch-Class Set Calculator works
The set is deduplicated modulo 12. Rotations are compared by compact span and left packing to obtain a normal order. The original and inverted normal forms are transposed to zero and compared for prime form.
Important: Set-theory conventions can differ in edge-case tie breaking. This calculator uses a transparent compact-span and lexicographic comparison method.
What assumptions should I verify?
Verify every entered quantity, rate, unit, product specification and local requirement before relying on the estimate. U.S. conventions are primary where location matters.
Is information sent anywhere?
No. Calculations run locally in the browser and this calculator sends no entered information to a remote service.