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From the Canyons to the Stars: Exploring Musical Symmetry in Modern Music

Dive into the intriguing world of musical symmetry and scales in modern compositions, supported with images and videos. Learn about translatory symmetries in musical scales, including the significance of frequency variations and different scale systems. Discover how composers like Oliver Messiaen, Claude Debussy, and Arnold Schoenberg utilized unique tone symmetries to create music rich in depth and complexity. Explore the concept of the Diminished Scale and propose your own scale subset using the Virtual Piano tool.

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From the Canyons to the Stars: Exploring Musical Symmetry in Modern Music

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  1. Bryce Canyon

  2. CalPerformances, Jan 31, 2016 St. Louis Symphony performs: Oliver Messiaen (1908-1992) “From the Canyons to the Stars” (1971-74) modern music supported with images and videos

  3. CS 39R Translatory Symmetries (Regularity) in Musical Scales What is this ?

  4. (One Octave of) Today’s Piano Scale Who defines the frequencies?

  5. Many Different Scale Systems ! Twelve equal-ratioed steps: 12th root(2)

  6. Equal Tempered Piano Scale Twelve equal-ratioed steps: 12th root(2) Johann Sebastian Bach

  7. How Well Does This Work? Frequency Mismatch (%)

  8. Who Defines Which Tones to Use? Many Scales:

  9. Some Select Scales: Which ones have the best translatory symmetry?

  10. Whole-Tone Music Let’s use mostly full steps! Claude Debussy

  11. 12-Tone Music Let’s use all the tones equally! Arnold Schoenberg

  12. Other “Tone Symmetries”? … inspired me to look at scales with high translatory symmetry.Found: “Diminished Scale” Oliver Messiaen

  13. What Scale Do YOU Propose? Select a subset of tones … Check it out: http://virtualpiano.net/

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