Set Theory Calculator vs SetClass

Set Theory Calculator is a musical set theory analysis tool and compositional aid. Using the app, you can define pitch class sets, then analyze and perform various musical set theory operations on the sets. For pitch sets you define, the app will: * Calculate Normal Form and Prime Form * Display the Forte Number * Calculate the interval class vector * Show transposed and inverted sets * Display a set matrix * Sort, invert or complement the set * Play the notes of the set as a melody or chord The app also includes a comprehensive written overview of musical set theory. Composers like Arnold Schoenberg, Alban Berg and Anton Webern employed set theory techniques to organize the pitch content of their works.

Explore the building blocks of modern harmony. This app lets you see, hear and manipulate pitch class sets, the foundation of post-tonal and atonal music theory. EXPLORE • Tap notes on the pitch wheel to build any chord or scale. • See the Forte number, prime form, normal form and interval vector. • Check transpositional and inversional symmetry. • Open the K/Kh complex of any set to see which set classes include it or its complement. FIND • Tap notes on a keyboard, or type a Forte number (3-11, 6-Z44) or pitch-class numbers (0 4 7). • Browse all 224 Forte set classes, with Z-relations, filtered by size. TRANSFORM • Transpose, invert and multiply (M5, M7) any set. • Morph smoothly from one set to another. CREATE • Generate sets by cardinality, symmetry and density. • Arrange sets into rhythmic sequences using P, T, I, R and RI operations, with every inversion level. • Build a serial matrix from rows of 2 to 12 notes. • See each set as geometry in tonal space, with symmetry axes. • Export to MIDI and MusicXML. LEARN • A built-in theory guide. • Analysis examples from Debussy, Schoenberg, Stravinsky, Berg, Messiaen and more, with links to scores. Built for students, composers and theorists, from first-time learners to advanced analysis.