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Bryce Canyon

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

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Bryce Canyon

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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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