Chin Ting Chan | composer
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Fractals for violin and clarinet in B-flat (2016)
I.     Chaos Theory I
II.     Cantor Set
III.    Expanding Symmetry I

IV.    Canon
V.     Expanding Symmetry II
​VI.    Chaos Theory II


The term “fractal” was first used by mathematician Benoît Mandelbrot in 1975. It was based on the Latin term frāctus, meaning “broken” or “fractured.” Mathematically driven by recursion, a fractal is a never-ending pattern. It can evolve into complex patterns that are self-similar across all scales in an ongoing feedback loop. It serves as the basis for chaos theory, which examines the behavior of dynamic systems that are highly sensitive to initial conditions, causing a response popularly known as the butterfly effect. Fractals are also widely observed in nature in forms such as clouds, trees, mountains, seashells, etc. It is the imageries of such spectacular fractal designs and the theories behind them that inspired this composition.
Picture
(07/25/2021)
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  • Home。主頁
  • About。簡介
  • Music。音樂
    • Large Ensemble >
      • Deform and Reform
      • Qing Ming
      • Dust Devil
      • Untitled
      • Falling Stars
      • Shadow Play
      • time, unfolding
      • Veiled Light
      • Apparitions - a fantasy for chamber ensemble
      • Fanfare for Brass and Percussion
      • Symphonic Movements
    • Chamber >
      • Invisible Canvas
      • flying ink, fainting light
      • Fracture
      • fuse V
      • fuse IV
      • fuse III
      • fuse II
      • fuse
      • In-pulse
      • Don't Look
      • Ictus
      • (dif)fused
      • Double Exposure
      • Flying Ink
      • Fractals
      • Double Waves
      • Drift
      • reaching up, touching down
      • Friction
      • Cross-strings
      • Thread
      • Axis
      • Mirage
      • re[sou]nding
      • Crosswind
      • Anemoi
      • ...and see it vanish
      • Icebergs
      • Moments
      • Haengma
      • Acoustic Field
      • Five Songs of the Von Seggerns
      • Saxophone Quartet
      • Elegy for Clarinet and Piano
      • Transfiguration
      • Caprice for String Quartet
      • Duo for Two Flutists
      • Trio for Violin, Clarinet and Marimba
      • Trio for Horn, Cello and Piano
      • Woodwind Quintet in C
      • String Quartet in A minor
    • Solo >
      • Ripple
      • Insight I
      • Flare
      • Postcards
      • Central
      • ...remembering Glenn
      • Cross-currents
      • Flurry
      • Shape of Wind
      • Shattered Wind
      • Five Etudes for Solo Piano
      • Suite for Solo Cello
      • Fantasy for Solo B-flat Clarinet
    • Electroacoustic >
      • Water Dust
      • Glitchdrops
      • Resonant Collision IV
      • Resonant Collision III
      • Resonant Collision II
      • Resonant Collision
      • 52 Blue
      • Mirror Sculpture
      • Shadow Objects
      • Stutter
      • Reel
      • Elements
      • Moment Studies
      • Static
      • Rituals
      • tempora mutantur
      • Whispers of Time
      • time, forward
      • Katachi IV
      • Stargaze
      • Katachi III
      • Katachi II
      • Katachi I
      • Awakening
      • Improvisations
      • Oceanus
      • Zone 23
      • Of Metals and Electrons
      • Three Episodes
  • Listen。聆聽
  • software。程式
    • mapping
    • matrixes
    • multiplication
    • pitch sets
    • set variants
  • Contact。聯絡