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Music and The Human Ear!
 

offline Archrival on 2003-03-16 04:52 [#00597198]
Points: 4265 Status: Lurker



The Audio Spectrum.

"A major criterion of a good sound system is its frequency
response. The usual frequency range considered "hi-fi" is
20-20,000 Hz. Hear sample tones at 100 Hz (12 kb wav file)
and 10,000 Hz (44 kb wav file). Yesterday I did a test using
the very accurate signal generator built into my CLIO
system. I can clearly hear, and certainly can feel, a 10 Hz
tone. My sound system totally poops out below 10 Hz, so I
can't test any lower than that. The lowest notes on organs
and pianos are 16.4 and 24.5 Hz respectively. Testing at the
other extreme, as a 61 year-old male I can hear a 13,500 Hz
tone, but no higher. (It is generally agreed that women are
more sensitive to high frequencies). However, good high
frequency response is required to produce sharp transients,
such as a snap of the fingers. I performed a test using a Ry
Cooder CD, "Talking Timbuktu." Track 10 on this disk has
some very sharp transients that just leap out at you from a
good sound system. My pre-amp has a filter that cuts off
frequencies above 12,000 Hz. With this filter in, the
transients limp out rather than leap out. This shows that
even though I cannot hear a pure tone in most of the range
of frequencies cut out by the filter, I can clearly hear the
difference in the sound quality of the transients. I
recently recorded a segment of this cut as a .wav file, and
digitally processed it with a 12kHz filter. You can compare
the filtered and un-filtered sound yourself in the section
on sound demos.
James Boyk at Caltech has posted an interesting paper on the
frequencies generated by musical instruments between 20kHz
and 102 kHz! He also cites a paper that states that people
react to sounds above 26 kHz even when they cannot
consciously hear the sound. Jourdain (page 42) states that
sound can be heard up to 40 kHz if sufficiently loud
(Although a knowledgeable reviewer is skeptical).

The ear tends to combine the sound within critical
bandwidths, which are about 1/6 octave wide (historically
thought to be 1/3 octave). This


 

offline Archrival on 2003-03-16 04:53 [#00597199]
Points: 4265 Status: Lurker



This has led to the practice of averaging frequency response
over 1/3 octave bands to produce beautiful-looking frequency
response curves. In my opinion this is misleading. Suppose a
loudspeaker has a bad dropout (very weak response) over a
narrow frequency range; the dropout will be totally obscured
by averaging. But when a musical instrument plays a note
that just happens to fall in the dropout notch, you will not
be able to hear the note. See the example of a warts-and-all
response (28.2 kb) vs. a 1/3 octave smoothed response (24.5
kb) from my final system measurements section. Since we can
barely hear a 2-dB difference in sound level, it is
reasonable to accept ±2 dB as an excellent level of
performance for frequency response. In fact this is
impossible to achieve in the real world, due to room
acoustics. (see the section on room acoustics). Personally I
would say a more-or-less practical goal for a sound system
installed in a room is a frequency response ±5 dB from
200-20,000 Hz, and maybe ±10 dB from 10-200 Hz. It is also
worth noting that the ear itself has a quite variable
frequency response, as shown by measured data on
head-related transfer functions, and as discussed in the
next section.

What is the minimum audible change in frequency? I created
two .wav files: case #1 was a series of 1/2 second tone
bursts, all at a frequency of 800 Hz; for case #2 the bursts
alternated between 800 and 805 Hz. I can reliably
distinguish between these two cases in a double-blind test.
This difference in frequency is less than 1/100 of an
octave. I could also distinguish between 400 and 402 Hz.
According to Jourdain (page 18) this is about normal for a
young person; at age 61 I'm not supposed to be able to
detect a difference of less than about 8 Hz at 400 Hz. But I
can."





 

offline nlogax from oh, you must be the brains (Norway) on 2003-03-16 04:55 [#00597200]
Points: 4653 Status: Regular



interessting indeed


 

offline Archrival on 2003-03-16 04:57 [#00597206]
Points: 4265 Status: Lurker



Intresting reading:

http://www.silcom.com/~aludwig/EARS.htm



 

offline AMinal from Toronto (Canada) on 2003-03-16 17:07 [#00598440]
Points: 3476 Status: Regular



interesting... thanks

archrival, i didn't know you were 63!


 

offline xlr from Boston (United States) on 2003-03-16 18:22 [#00598524]
Points: 4904 Status: Regular



audio theory is always a fascinating subject.


 


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