MATH 5: COMPOSITION Michael Blum

MATH 5: COMPOSITION Michael Blum

Organ Pedal

Ratio to f 0 HzdBn from A440n/12Roundedn from nearest ANoteDegreeNote Frequency G#1A C#2A# F2B A2C D2C# F#3D A3D# B3E C#4F D4F# E4G F#4G# G G# A A# B C# D E F# G G# A B C# D D# E F F# G G# A B C C# D D# E F# B7

Motif A Variation on Motif A Relationship to Organ Pedal f 0 = 55 Hz (A 1 ) A – 1f, 2f, 4f, 8f, 16f, 32f B – 4.6f, 9f, 18f, 36f, 72f C# - 1.3f, 5f, 10f, 20f, 40f D# f, 40.4f E – 6f, 12f, 24f, 48f F# - 3.4f, 6.8f, 13.6f, 27f G# - 1f, 7.6f, 15.2f, 30.3f

Relationship to Organ Pedal f 0 = 55 Hz (A 1 ) A – 1f, 2f, 4f, 8f, 16f, 32f B – 4.6f, 9f, 18f, 36f, 72f C – 38f C# - 1.3f, 5f, 10f, 20f, 40f D# f, 40.4f E – 6f, 12f, 24f, 48f F# - 3.4f, 6.8f, 13.6f, 27f G – 7.2f, 14.3f, 28.6f G# - 1f, 7.6f, 15.2f, 30.3f Motif B

Dissonance in Motif B

Strongest Partials (above 25dB) Frequency (Hz)Intensity (dB)% Relative to Previous Partial n/a % % % % % % % % % % % % % % % % % Dissonance: ≤15%

Melodic Transformation (Reflection in the X axis)

Instrumentation Vibraphone Percussive; bell-like; the long sustain of the 1 st, 2 nd and 3 rd partials create beats Has partials at f 0, 3.26f 0, 7f 0, 12f 0, 18.5f 0, 26.23f 0

Instrumentation Harp Evenly spaced partials, mellow timbre Has partials at f 0, 2f 0, 3f 0, 4f 0, 5f 0, 6f 0, … (decrease in intensity as they increase in frequency)

Instrumentation Pizzicato (Plucked) Strings Percussive, evenly spaced partials Strong partials at f 0, 2f 0, 3f 0, 4f 0, 8f 0

Conclusion What is the tone created by the organ pedal and the dissonances in the melody? What impact does the timbre of the instruments have on the piece? What does this piece communicate to you? What is the contour of the piece?