missing fundamental

There's a blurb on pg 22 of the 9/8 issue of Electronic Engineering Times,
about a company Wave Ltd. that is using pycho-acoustic trickery to produce
the illusion of deep bass sound out of small/cheap equipment.

"...the algorithm identifies fundamental frequencies that are present, but
that will not be reproduced by the speaker. It then synthesizes a set of
harmonics - both odd and even - with just the right amplitude relationship to
fool the ear into thinking it has heard the fundamental. These harmonic
signals are then added into the audio stream.

"'It is very important to get the harmonics to decay at just the right rate,'
Shashoua said. 'Too fast, and you will not create the illusion. Too slow, and
you will create a buzzing effect, like listening to a square wave.'"

Jim



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To Bill Alves,
Could you give us the ratios of your complete Pelog scale?
Thanks,

Manuel Op de Coul coul@ezh.nl



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Manuel Op de Coul asked me:

>Could you give us the ratios of your complete Pelog scale?

Pelog:
Pitch Successive Cents be- Ratio rel- Cents Frequency
# Ratio tween steps ative to 1 from 1 (hz)
1 1/1 0.00 293.33
8/7 231.17
2 8/7 231.17 335.24
21/20 84.47
3 6/5 315.64 352.00
35/32 155.14
4 21/16 470.78 385.00
8/7 231.17
5 3/2 701.96 440.00
16/15 111.73
6 8/5 813.69 469.33
35/32 155.14
7 7/4 968.83 513.33
8/7 231.17
1' 2/1 1200.00 596.67

And, just for completeness sake...

Slendro:
Pitch Successive Cents be- Ratio rel- Cents Frequency
# Ratio tween steps ative to 1 from 1 (hz)
1 1/1 0.00 282.86
8/7 231.17
2 8/7 231.17 323.27
7/6 266.87
3 4/3 498.04 377.14
7/6 266.87
5 14/9 764.91 440.00
8/7 231.17
6 16/9 996.08 502.86
9/8 203.91
1' 2/1 1200.00 565.72

I hope I haven't made any more errors:)

Bill

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
^ Bill Alves email: alves@hmc.edu ^
^ Harvey Mudd College URL: http://www2.hmc.edu/~alves/ ^
^ 301 E. Twelfth St. (909)607-4170 (office) ^
^ Claremont CA 91711 USA (909)607-7600 (fax) ^
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^



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