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The module contains the results of the Project Treble Maker system being run on a complex input.

Complex input

Once the program was successfully developed, it was run on a recognizable tune: the first four measures of “Twinkle Twinkle Little Star.” Again, the traditional spectrogram, the reassigned spectrogram, and the MATLAB output are shown below. Each note of the song was correctly identified and output by the system.

Traditional spectrogram

ttn

Fig 1 The traditional “smeared” spectrogram of “Twinkle Twinkle Little Star”

Reassigned spectrogram

ttr

Fig 1 The reassigned spectrogram of “Twinkle Twinkle Little Star”

System output

Again, the system correctly identified all of the notes of the input signal without error. The first four measures of “Twinkle Twinkle Little Star” are as follows:

Here is the MATLAB output:

ttresult

Fig 3 The MATLAB output accurately identifying each note

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Source:  OpenStax, Music transcription through frequency reassignment. OpenStax CNX. Dec 19, 2011 Download for free at http://cnx.org/content/col11393/1.1
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