Six Cardinal Directions

Scored for flute & piano
Duration: 3′ 00″
PDF Score here.

C4 < G#5 > C7 (approx. flute range) : Central point = G#5

This piece combines the runsums (n+1+2…) & (n+5+6…)

Pitches ascending from G#4 (n+1+2…):
G#4 (+1) A4 (+2 ) B4 (+3) D5 (+4) F#5 (+5) B5 (+6) F6 (+7) C7 (+8) G#7…
Pitches ascending from G#4 (n=+5+6…):
G#4 (+5) C#5 (+6 ) G5 (+7) D6 (+8) Bb6 (+9) G7…
Combinatory ascending scale:
G#4 (+1) A4 (+2 ) B4 (+2) C#5 (+1) D5 (+4) F#5 (+1) G5 (+4) B5 (+3) D6 (+3) F6 (+5) Bb6 (+2) C7 (+7) G7 (+1 ) G#7…

Pitches descending from G#4 (n+1+2…):
G#4 (+1) G4 (+2 ) F4 (+3) D4 (+4) Bb3 (+5) F3 (+6) B2 (+7) E2 (+8) G#1 (+9) B0…
Pitches descending from G#4 (n=+5+6…):
G#4 (+5) Eb4 (+6 ) A3 (+7) D3 (+8) F#2 (+9) A1 (+10) B0…
Combinatory descending scale:
B0 G#1 (+1 ) A1 (+7) E2 (+2) F#2 (+5) B2 (+3) D3 (+3) F3 (+4) A3 (+1) Bb3 (+4) D4 (+1) Eb4 (+2) F4 (+2) G4 (+1) G#4

IC [1,7,2,5,3,3,4,1] = Decimal expansion of 20th root of 2.
Corresponds to unique integer sequence: https://oeis.org/A010782

IC [1,2,2,1,4,1,4,3,3]
Corresponds to unique integer sequence: https://oeis.org/A286582