10 o Simpósio Brasileiro de Computação Musical3 a 6 de Outubro de 2005 SONORITY “CHALUMEAU”...

10o Simpósio Brasileiro de Computação Musical 3 a 6 de Outubro de 2005

SONORITY “CHALUMEAU” OF THE CLARINET

Empirical Study Using Factorial Design

Luís Carlos de OliveiraRicardo Goldemberg

Jônatas ManzolliIA - NICS - UNICAMP

http://www.unicamp.br/


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Experimental Equipments

• Compressor;• Acrilic Box;• Clarinet;


Experimental Scheme

1. Inlet of Air2. Compressor3. Gate4. Flow meter5. Empty Volume

6. Pressure meters7. Plate8. Material for Acoustic Absorption9. “Mordedura”10. Reed11. Clarinet


Detail of the “Mordedura”


We propose...

• 1. To eliminate the human corrections (Musician) in the Production of Sound

• 2. To analise a bigger number of independent variables (factors)

• 3. To use a Factorial Design of Experiments


Factors (Independent Variables)• VOLUME OF THE BOX (F1)• HARDNESS OF THE REED (F2)• POSITION IN THE REED (F3)• OPENING OF THE MOUTHPIECE (F4)• CONTACT AREA OF THE REED (F5)• QUANTITY OF MATERIAL (F6)


RESPONSES

1.Amplitude (dB)2.Frequency (Hz)


Level of the Factors

FACTORS -1 0 +1

F1:Volume of the Box (%) 60 65 70

F2:Hardness of the Reed (#) 2 2,5 3

F3:Position in the Reed Int Cen Ext

F4:Mouthpiece A B C

F5:Contact Area (m2) 3x10-5 1x10-4 1,4x10-4

F6:Quantity of Material (kg) 0 0,015 0,030


Fractional Factorial Design(Sound: D3)

Exp. Vol. Box

Hard. of Reed

Pos. in Reed

Mouthpiece Area Material Order of Runs

1 -1 -1 -1 +1 +1 +1 7

2 +1 -1 -1 -1 -1 +1 8

3 -1 +1 -1 -1 +1 -1 11

4 +1 +1 -1 +1 -1 -1 4

5 -1 -1 +1 +1 -1 -1 1

6 +1 -1 +1 -1 +1 -1 3

7 -1 +1 +1 -1 -1 +1 2

8 +1 +1 +1 +1 +1 +1 10

9 0 0 0 0 0 0 5

10 0 0 0 0 0 0 9

11 0 0 0 0 0 0 6


RESULTS:1. The contact area was the most important factor for the intensity andfrequency of the sound;2. To increase the volume reduce the intensity of the fundamental and the8th harmonic but increase the intensity ofthe 5th, 6th, 10th and 12th harmonics;3. To increase the contact area diminishthe frequency of the harmonics;4. To increase the hardness of the reedincrease the frequency of the harmonics.

10 o Simpósio Brasileiro de Computação Musical3 a 6 de Outubro de 2005 SONORITY “CHALUMEAU”...

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