1. Symmetry in Music
By: Nandini Nair

2. Instruments
Piano
Guitar
88 keys ≈12 Octaves C12
C1V

3. Frieze Symmetries in Musical Score
Claude Debussy
Impressionist music
Famous piece: Clair de Lune
Several mathematical patterns have been seen in his works including the Fibonacci sequence
All 7 frieze symmetries can be seen in Claude Debussy’s Three Nocturnes

4. Frieze Symmetries in Musical Score Debussy's Three Nocturnes
S2n / 4X
D4 / 224
C2h / 2*
D4d / 2*4
C4V / *44
D11h / *2211

5. Frieze Symmetries in Musical Score Bach’s Canon
Johann Sebastian Bach, a composer from the Baroque period, happened to be particularly fond of glide symmetries
Canon’s were Bach’s specialty
Describe what exactly a canon is… example frere Jacques
14 Canons

6. Bach’s Canon 5 into a Mobius Band

7. Circle of Fifths

8. D♭ E♭ G♭ A♭ B♭ D♭ E♭ G♭ A♭ B♭ C# D# F# G# A# C# D# F# G# A#

9. Circle of Fifths
Explain intervals

10. Thank you D♭ E♭ G♭ A♭ B♭ D♭ E♭ G♭ A♭ B♭ C# D# F# G# A# C# D# F# G# A#