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Hi all,
I thought more about how to time sustain while taking my morning shower =
(ordinarily a very productive time for me). It occurs to me that the =
best way to do it is electronically -- with a simple circuit made just =
for that purpose. Many of you work at universities, and you could =
probably find a departmental electronics technician who could put =
together such a circuit on a breadboard in no more than an hour or two. =
Some of you may know enough about electronics to do it yourselves. As =
for myself, I once maintained an electonics test bench and =
designed/built these sorts of circuits, but I've been downsizing, and =
most of that stuff is either given away or stored in boxes. I won't be =
able to do this in the forseeable future.
Anyway, here's a description of the circuit. This is very elementary =
stuff, and any electronics tech should know how to put these circuits =
together out of no more than a few dollars in parts (not counting the =
breadboard, which you would borrow):
There would be two op-amp circuits with 100-fold (40 dB) differences in =
gain. Inputs to both would be capacitively coupled from the same =
microphone. (An adjustable-gain preamp circuit would be nice here.) =
Outputs from the two amps would be capacitively coupled to two unity =
gain op amps ("voltage followers." Outputs from the voltage followers =
would then be quarter-wave rectified and low-pass filtered, so as to =
yield an approximately DC output. (i.e. diode, serial with resistor, =
feeding to one lead on a capacitor, with the other lead grounded). =
Although this voltage wouldn't be RMS, it would be "similar" and would =
summate energy not only only from the fundamental but also from the =
harmonics. Those who want true RMS can possibly find specialized V^2 =
amplifiers, but that's a bit expensive/weird/exotic. Feed the outputs =
of those circuits to two comparator circuits that would detect a voltage =
threshold. (Assuming the 100:1 gain is accurate, the threshold voltage =
should be the same for both the high- and low-gain circuits.) Finally, =
feed the outputs of the comparators to logic circuit that would output H =
when the high-gain circuit's output is H and the low-gain circuit's =
output is L. This could be done with an XOR chip, I think. Use this =
output to trigger a millisecond timer (e.g. an old Hunter, probably =
available for loan from the junk pile of any dept of psychology).
How to use it:
(1) Hook a soundboard mic to the circuit's input. To avoid =
constructive/destructive interference effects, mute two of the three =
unisons of the note being tested, both in the main *and* duplex =
sections.
(2) Play a note loudly enough to exceed the low-gain circuit's threshold =
(loudly enough that the timer won't run immediately.
(3) As the amplitude falls, the output signal of the low-gain circuit =
will fall below threshold, and the timer will start running. The sound =
may "warble" a bit over the threshold, resulting in the timer starting, =
stopping, starting, stopping, and then running. That's OK, because the =
same thing will happen when the timer shuts off.
(4) As the amplitude falls further, the output signal of the high-gain =
circuit will also fall below threshold, cutting off the timer -- again =
probably with some warbling, which is OK.
(5) The 40 dB decay time can then be read in ms. Assuming a linear =
falloff (and I don't know if this is a valid assumption), the 6 dB =
falloff (i.e. amplitude half-time) would the 40 dB decay time divided by =
6.67. If decay is nonlinear, then just report the 40 dB decay and try =
to reference it to some initial SPL value. With regard to SPL, 99% of =
the world has no clue that an SPL reading is utterly useless unless it =
is referenced to a distance from the sound source. Owing to the "large" =
sound producing area of the piano and the complex nature of its =
acoustics, I would probably put the meter on a soft blanket on the floor =
beneath the midpoint of the "strip" of soundboard immediately under the =
string, with the mic pointed straight up and the piano lid closed. =
That's probably as reproduceable as you're going to get.
For those who aren't knowledgeable in electronics, don't worry. This =
isn't neary as comlicated as it sounds. It's a very easy project for =
some electronics technician. Look in the following departments: =
physics, any engineering, neurobiology, psychology, RTF, possibly even =
music (???).
Peace,
Sarah
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