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Frequency Modulation Chord Generator Plug-in

How to get there

  1. Select two successive, single notes in one staff with the Selection tool . The notes can be of any duration, but must be in layer 1, voice 1.
  2. Choose Plug-ins > Scoring and Arranging > Composer’s Assistant > Frequency Modulation Chord Generator.

What it does

The Frequency Modulation Chord Generator plug-in creates a new staff with a sequence of chords, each of a whole note duration. A process called Frequency Modulation determines the notes that make up the generated chords. This plug-in was designed to be a compositional tool capable of automatically generating a series of chords with increasing complexity and texture.

Frequency Modulation, in terms of keyboard synthesizers, begins with a simple oscillator called the Carrier (frequency A). The Carrier is then altered in frequency by another oscillator called the Modulator (frequency B). A sound results, with a complex spectrum. This spectrum has energy at certain frequencies:

… A - 3B, A - 2B, A - B, A, A + B, A + 2B, A + 3B …

In this series, frequencies may become negative. In these cases, the absolute (positive) value of the frequency is taken.

 

The Modulation Index indicates which frequencies from the energy spectrum will be kept.

Index = 1: A

Index = 2: A - B, A, A+B

Index = 3: A – 2B, A - B, A, A+B, A + 2B

Index = 4: A – 3B, A – 2B, A - B, A, A+B, A + 2B, A + 3B

Etc.…

The Frequency Modulation Chord Generator Plug-in converts the two input notes into frequency, based on an equal temperament pitch table (pitches from one octave to the next have a 1:2 ratio, such that any note’s frequency is twice the frequency of the note one octave below; e.g. A4=440Hz and A3=220Hz):

MIDI Note Number

Pitch

(where middle C equals C4)

Frequency (Hz)

60

C4

261.626

61

C#4/Db4

277.183

62

D4

293.665

63

D#4/Eb4

311.127

64

E4

329.628

65

F4

349.228

66

F#4/Gb4

369.994

67

G4

391.995

68

G#4/Ab4

415.305

69

A4

440

70

A#4/Bb4

466.164

71

B4

493.883

The frequency of the first input note becomes the Carrier, and the frequency of the second input note becomes the Modulator. These frequencies are entered into the index synthesis algorithm and returned again as MIDI notes. It is these MIDI notes that make up the chords generated.

 

 

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