Multi-Clef Composition

Answer:

EDWIN OUTWATER

Written by Nicholas Cressman, Jack de Haan, and Nate Chinman.

The treble clef represents a bijection from notes to letters. The four clefs with crossword clues each represent a permutation of the alphabet, with each letter mapping uniquely to another letter. Each of these is composed with treble clef, collectively mapping notes to letters (using #s and ♭s placed as in treble clef, due to composition with treble clef).

The crossword clues for the first five clefs are:

Crossword ClueSolution
The English LanguageABCDEFGHIJKLMNOPQRSTUVWXYZ
Like the second half of a scaleDESCENDING
Circle of ____FIFTHS
Numerical PitchFREQUENCY
Portable PianoKEYBOARD

Each of these clues a permutation of the alphabet:

  • English: Assign letters to notes sequentially, with A first and Z last.
  • DESCENDING: Assign letters in reverse order, with Z first and A last.
  • FIFTHS: Assign letters by jumping in fifths, i.e. A first, A+5=F second, F+5=K third, etc.
  • FREQUENCY: Using Cornell as the canonical source, the frequency of letters in English text, assigning highest frequency letters first.
  • KEYBOARD: Assign letters via the QWERTY keyboard in reading order.

These permutations can be verified by checking that the notes given match the solution. The full permutations are:

ENGLISHDESCENDINGFIFTHSFREQUENCYKEYBOARD
AZAEQ
BYFTW
CXKAE
DWPOR
EVUIT
FUZNY
GTESU
HSJHI
IRORO
JQTDP
KPYLA
LODCS
MNIUD
NMNMF
OLSWG
PKXFH
QJCGJ
RIHYK
SHMPL
TGRBZ
UFWVX
VEBKC
WDGJV
XCLXB
YBQQN
ZAVZM

The final clef is a composition of all of the other clefs. Taking the notes and mapping them through the clefs in order (TREBLE → DESCENDING → FIFTHS → FREQUENCY → KEYBOARD) gives:

  1. D4:  C → X → L → C → E
  2. C5:  M → N → N → M → D
  3. E5:  Q → J → T → B → W
  4. G#4: I → R → H → H → I
  5. F#4: G → T → R → Y → N
  6. G5:  T → G → E → I → O
  7. C#4: B → Y → Q → G → U
  8. C#6: Z → A → A → E → T
  9. E5:  Q → J → T → B → W
  10. C4:  A → Z → V → K → A
  11. C#6: Z → A → A → E → T
  12. D4:  C → X → L → C → E
  13. F#5: S → H → J → D → R

Reading the fully composed letters, solvers obtain the answer EDWIN OUTWATER.