[PST Home]
Precision Strobe Tuners
PST-3
Operation Manual
PST-3 Operation Manual
Index:
Operation Summary
General Operation
Filter Modes
Auto Mode
Programable Temperament
Operations
Ref Out
Other Uses
Power Up Modes
Tuning Notes and Tips
Applications
Guitar Tuning
Guitar Intonation
Piano Tuning
Background
Piano Tuning Operations
Manual Stretch Curve
Automatic Stretch Curve
Appendix A, The Equal Tempered Scale
Appendix B, Alternative Temperaments
Appendix C, Cents to A Frequency Conversion Table
Appendix D, Further Reading
Specifications
Download Entire PST-3 Operation Manual pdf:
PST-3
Operation Manual
PST-3 Operation Summary
Strobe Display
The outside ring of LEDs form the Strobe Display. When the Input
Pitch is within about a semi-tone of the internal Reference Pitch, a two
group pinwheel of LEDs opposite each other will appear to rotate in the
Strobe Display. The rotation direction indicates whether the input
tone is sharp or flat and rotation speed indicates degree of error. The
speed of rotation decreases as the Input Pitch is brought in tune and
appears stationary when the Reference Pitch is exactly matched.
Sharp/Flat Indicator Display
Indicates course tuning error, much like a needle type tuner. Use this
for course tuning when the Strobe Display pattern rotation is to fast to
be perceptible.
Note/Octave Display Rings
Read the Reference Pitch Note Setting from Note Indicator Ring and the
Octave Setting from Octave Indicator semi-circle. These are
visible from a distance, like reading a clock.
Numeric Display
[5 A ]: Note Setting, A, 5th Octave.
[ 00.0]: Calibration Setting Display
[F BP]: All pass Filter Mode
[b 1]: Temperament Bank 1 select
Adjust Knob
In Manual Mode, rotate to change Note Setting. In Calibrate mode rotate
to change the tuner calibration as indicated in cents. In other
modes rotate to index the displayed parameter.
Cal Button
Press to change to Calibration Display Mode. Calibration is
displayed in cents with flat designated -. Rotate the Adjust Knob
to change selected digit, which is flashing. Click the Cal Button to
select the digit. When a Temperament Bank is enabled, holding the Cal
Button down displays and allows adjustment of the Calibration Offset.
Disp Button
Press the Disp button to return to Note Display mode from Calibrate
Mode. Click the Disp button to change to Octave Index mode. In
Octave Index Mode the octave number in the display flashes and the
Adjust Knob will index the Note Setting by octaves. Click again to
return to Chromatic Index mode.
Filter Modes
To set the filter mode, press and hold the Disp Button until [F BP]
shows in the display. Rotate the Adjust Knob to cycle through the
filter modes:
[F A] All Pass
[F L] Low Pass
[F B1] Band Pass
[F B2] Band Pass,
Extended Dynamic Range
Click the Disp Button to return to Note Display mode.
Auto Button
Press the Auto Button to enable Auto Track Mode. The Auto Indicator
light will turn on, and the PST-3 will automatically track the dominant
input note. Press again to disable.
Programmable Temperament Operations
The Programmable Temperament allows the user to preset a Temperament
into the PST-3 by making a separate Calibration Adjustment for each of
the 88 notes. The Temperament is defined in terms of cents deviation
from the Equal Tempered scale. This can be setup however a user
desires, for example, a Just Toned scale can be set, or the stretch of a
piano can be programmed. 40 pages of temperament memory are provided,
each containing 88 notes.
Select Temperament Bank
Hold the Temp Button down, the display will show:[b 1]. Rotate
the Adjust Knob while holding the Temp button down to index through, and
select one of the 40 temperament banks. Release the Temp button, The
Temp indicator LED will be lit to signify a bank is active. As the
Note setting is changed, the corresponding calibration value from the
selected Bank will be updated to the Cal display. These banks must be
programmed by the user.
Pitch Offset
Pitch Offset is used to shift the entire Temperament Bank Sharp or
Flat. The Offset is displayed while the Cal Button is held down.
To adjust the offset, turn the Adjust Knob while holding down the Cal
Button. When the button is released, the Calibration setting for
the current note will be restored to the display.
Programming the Temperament
Select the desired Bank to be programmed. Unlock the selected Bank by
clicking the Cal Button while holding down the Temp Button. The
Temp and Unlocked indicator should both be lit. Each of the notes
in the selected Bank can now be changed. Press the Disp button and
select the first note to be programmed, next press the Cal button and
adjust the calibration for the selected note. Repeat, setting each note
to the desired temperament. When done, click the Cal button while
holding the Temp button down to disable the Unlocked Mode.
General Operation
Plug the power cord in and hold the On/Off Button down
until the display becomes active. Plug the instrument into the
Signal In Jack, or play directly into the built in Microphone. The PST-3
default power up note setting is the fifth octave of A (440 Hz).
The display will indicate this as [5 A ]. This is also
indicated in the Octave and Note Display Indicator Rings. Rotate
the Adjust Knob to select the Reference Pitch to be tuned (use [3 A ]
for the guitar A string). Play the note on the instrument being tuned
and watch the Indicator Bar at the top of the tuner, it indicates sharp
and flat much like a needle type tuning indicator.
When the instrument pitch is within about a note of the Reference
Pitch, a two group “pinwheel” pattern of lit LED's will appear, opposite
each other across the Strobe Display. This pinwheel will rotate left if
the instrument is flat, and right if sharp. Use the Strobe Display
rotation for final tuning, adjusting the instrument until the rotation
is stopped. The instrument is now exactly matched to the tuner
Reference Pitch.
Filter
Modes
The PST-3 provides several Filter Modes which can be changed to
optimize the tuner for different tuning situations. To change the
filter mode, press and hold the Display button for about one second,
until the Display changes to [F B2]. With this in the display,
rotate the Adjust Knob to index through the filter Modes:
[F A ] – All Pass
[F L ] – Low Pass
[F B1] – Band Pass
[F B2] – Band Pass, Hi Dynamic Range
The Band Pass Modes B1 and B2 are best for general tuning to give the
sharpest display. B2 provides a wider dynamic range than B1 and under
room noise conditions may display a fundamental pattern when one is not
present, but provides higher sensitivity to very low level signals.
Experiment to see which is best for a given tuning situation. Low Pass
Mode rejects frequencies above the Reference Pitch. All Pass Mode
applies the full bandwidth input signal to the display, and is useful
for intonation training where good tone quality is conveyed in the
Strobe Display as a crisper display pattern.
To understand the Filter Modes better, consider the how the Strobe
Display works. In operation, only one LED in the Strobe Display is lit
at a time. The tuner electronically rotates the Strobe Display by
enabling one LED at a time, around and around the circle. The
speed of this rotation is setup by the selected Reference Pitch so that
the display rotates once for every two cycles of the Reference
Pitch. The brightness of the enabled LED is controlled by the
instantaneous level of the positive portions of the input signal. If the
input pitch is the same as the Reference Pitch, the effect is a display
of the positive peaks of two cycles of the input pitch, hence two groups
in the pinwheel display. Input tones which are sharp or flat generate a
strobe display which is rotating, as the phase between the Reference
Pitch and the Input Pitch changes. This is just like in a movie,
when the spokes on a wagon wheel can appear to stand still, or even go
backwards!
When the filter Mode is set to All Pass, and tones much sharper or
flatter than the tuner setting are input, other patterns are
possible. The harmonic relationship of the input pitch to the
reference frequency determines these patterns:
With the PST-3 set in All Pass filter mode, instruments producing tones
with high harmonic content will produce a Strobe Display with all these
harmonics superimposed. The resulting display may be very garbled
looking and difficult to interpret. For example, a guitar string
plucked near the bridge will produce a complex display, which settles to
the two group fundamental pattern as the overtones decay. A guitar
gently plucked in the center produces a two group display from the
start. The filter modes are used to obtain a clear two group pinwheel
display right from the note attack. Try tuning a guitar string in
All Pass, Low Pass and the Band Pass Modes. Experiment to see which is
best for a given tuning situation.
Using the Band Pass Mode it is possible to individually measure the
harmonics of a tone. This is useful for measuring string
inharmonicity. For example, to measure the octave harmonic (2nd
partial) of 3A, set the PST-3 to 4A and make sure the Band Pass filter
mode is on. The string fundamental will be filtered out, leaving only
the 2nd partial in the display. Adjust the Calibration to stop the
rotation and read inharmonicity of the partial from the Calibration
display. Higher partials can be measured similarly, or a partial of one
string can be tuned to a partial of another string. More on this
in piano tuning applications.
Auto Track Mode
In Auto Track Mode the PST-3 tracks the input Note, allowing hands free
operation for many tuning operations. Press the Auto Button to
enable or disable Auto Track Mode, the Auto LED indicates mode. In
Auto Track Mode, the PST-3 tracks the input note and displays it in both
the Note/Octave Display Rings and the Digit Display. Play or sing
a slow scale and the PST-3 will follow the notes and display what they
are. This mode is useful for intonation training. In some
situations with very high harmonic content, such as the very low
end of the piano, Auto Mode may note track well and jump between
octaves, in this case, manually set the Reference Pitch.
Programmable
Temperament Operation
Basic Programmable Temperament operations are explained in the
Operation Summary section. There is also a Bank Copy feature to
allow you to copy a Temperament Page into another Bank. To use
this function:
1. Hold down the Temp Button while turning the power on.
Keep it down until the PST-3 is running.
The Copy Bank Mode is now enabled.
2. Next, press and hold the Disp button until the display changes
to [CS 1], which signifies Copy Source Bank parameter
setup.
3. Notice that at this point you can momentarily press the
Disp Button to index through the parameters:
[CS n] – Copy Source Bank n
[CD n] – Copy Dest n
[CE 0] – Copy Enable
4. Use the Disp Button to index to Copy Source display [CS x]
and rotate the adjust knob to select the source Bank.
5. Use the Disp Button to index to Copy Dest display [CD x] and
rotate the adjust knob to select the source Bank.
6. Use the Disp Button to index to Copy Enable display [CE 0]
and rotate the adjust knob to show [CE C], (0, 1, 2,
C).
7. Initiate the copy operation by pressing and holding the Disp Button
down until the display shows [coPy]. When the
display shows
[donE] the copy is complete
8. Turn the Power off, and then on, to return to normal operation mode.
To zero out a previously programmed bank, follow the above procedure
using bank zero as the Source Bank, and the bank to be zeroed as the
Dest Bank. Use this function very carefully so you don’t copy over or
zero the wrong bank.
Reference Pitch
Output
The internally generated Reference Pitch can be output to an external
amplifier through the Ref Out jack to generate an audible reference tone
for tuning.
Other Uses
The Reference Pitch Output can also be used to verify the correct
speaker phase connection of sound systems. To do so, plug the Ref
Out signal into the amplifier input and set the volume so that the
reference frequency is audible. Hold the PST-2 a fixed distance
from one of the speakers and note the position of the two group display
pattern. Hold the PST-2 the same distance in front of the other
speaker. If the phase connection is correct, the two group pattern
will be in the same position. If it is not, the pattern will be
rotated 90 degrees from the first reading. Notice that the pattern
rotates as the PST-2 is moved further from the speaker. A 180
degree rotation of the display corresponds to a movement of one
wavelength of the reference frequency.
Power Up Modes
The PST-3 default settings on power up are: [5 A ] (440 Hz), with the
filter setting in Band Pass Mode. The PST-3 can be configured to
retain the last note and mode setting on power up. It can also be
configured to automatically turn off after some period of time. To
enable Save Settings Mode or Power Down Timer Mode:
1. Hold down the Disp Button while turning the power on.
Keep it down until the PST-3 is running, then
release.
The Settings Mode is now enabled.
2. Press and hold the Disp button until the display changes to
[SS d], which signifies Save Settings Mode set to
disabled.
3. Notice that at this point you can momentarily press the
Disp Button to index through the parameters:
[SS x] – Setting Save
[Pd x] – Power Down
4. To change the Settings Save Mode, use the Disp Button
to index so the display shows[SS d], rotate the
Adjust Knob
to change between Enabled (E) and disabled (d).
5. To change the Power Down Time Mode, use the Disp Button
to index so the display shows[Pd 0], rotate the
Adjust Knob
to change between None (0), five (5) and thirty (30)
minutes.
6. Turn the Power off, and then on, to return normal operation mode.
Tuning Notes and
Tips
It is recommended that an external microphone with good low frequency
response be used for piano tuning, especially for tuning the lowest
piano octave. Placing the microphone close to the string being
tuned also helps with the highest piano octave.
Use a clip on transducer type microphone for dulcimer and harp
tuning. This is also useful when tuning while the other
instruments are tuning or in the presence of background noise.
Applications
Guitar
Tuning
Use Auto Track Mode to tune each string to the following note settings:
[2 E ] Low E String
[3 A ] A String
[3 D ] D String
[3 G ] G String
[4 B ] B String
[4 E ] High E String
Plug an electric guitar directly in the Signal In Jack. Hold an
acoustic close to the Mic input. If background noise causes Auto
Track Mode to jump around, use manual mode with the above settings for
stability.
Guitar
Intonation Adjustment
Guitar Intonation setup involves adjusting the length of the strings at
the tailpiece such that a note played on the twelfth fret of each string
is a true octave of the open string. If the fretted octave is sharp, the
length is increased. All Pass filter Mode can be used for this
adjustment. In which case, set the PST-3 to the open string note,
and pluck lightly in the string center to view it’s fundamental.
Then, play at the twelfth fret, and read the four group octave display
pattern in the Strobe Display.
Piano
Tuning Background
It is possible to tune the middle C string of a piano to a tuning fork,
and then tune the strings within an octave surrounding it to the middle
C, and to do this entirely by ear. This process is known as tuning
the temperament octave. It is done by listening to the beats
produced between the partials of certain intervals and tuning that
interval by tuning the beat to the proper rate. Once the
temperament octave has been tuned, the remaining strings are tuned to
it. This is done by progressively playing octave intervals up and
down the keyboard, while tuning to remove the beat. The origin of
the beats, and how they are used in this process is explained in detail
in many books on the subject. See Appendix D.
Once a piano has been tuned by this method, if you measure all of the
notes against an equal tempered scale and plot the data, you will find
an interesting result. Toward the high end of the piano, the notes
will progressively get sharper, with the highest note perhaps 30 cents
sharp, there is also a similar flattening of the lowest notes, although
not as pronounced.
Why is this? First you must understand about inharmonicity of
ringing strings. A string can ring in several modes of vibration,
the fundamental, and a series of harmonics over integer division
subsections of the string.
For note 3A, these produce the approximate harmonic series of 110 Hz,
220 Hz, 330 Hz etc. The frequencies are determined by string length,
mass, tension and stiffness. The harmonics ring on
shorter sections of string than the fundamental which have a higher
thickness to length ratio, and are therefore stiffer. This extra
stiffness causes the harmonics to ring slightly sharper than the ideal
harmonic. The actual frequencies which ring are know as partials.
The fundamental is called the 1st partial, and the first harmonic the
2nd partial etc. Just how much sharper the partials are than ideal
harmonics depends on the string geometry. When a tuner is tuning
the octave intervals up the keyboard, they are generally listening to
the beat produced between the fundamental of the higher string, and the
2nd partial of the lower string. This generates a slightly sharp
octave when comparing the fundamentals, which accumulates up the
keyboard, resulting in the stretch curve for a given piano. This
stretch curve varies from piano to piano, depending on the geometry of
the string arrangement.
Piano Tuning
Operations
Pianos have groups of up to three strings per note, which are known as
unisons. When tuning the temperament only the center string of
each unison is tuned at a time. This is done using rubber wedges
to damp out the two outside strings while tuning the middle
string. Then these can be removed one at a time while tuning the
outside string to the center string. A length of felt can also be folded
and tucked into the space between unisons to damp the outside strings
over an interval. This is handy when setting the temperament octave.
Final tuning of the unisons is best performed by ear while listening to
the beat and tuning to remove it. When playing two strings at
once, the rotation of both notes are displayed, superimposed, giving a
pulsing display, settling to a stable two group pinwheel when the beat
is stopped. Alternatively, the outside strings of a unison can be
tuned independently by damping the center and opposite string.
Manual
Piano Stretch Curve Construction
The stretch curve for a given piano can be tuned using a series of
string partial measurements. The temperament octave is first tuned
directly to 0.0 cents. Then the strings are tuned up the keyboard
by tuning each string fundamental to the 2nd partial of the string an
octave lower. This curve can be stored in one of the PST-3
Temperament Banks, and used for directly tuning the string
fundamentals. The following procedure is based on the one given
by Reblitz. See Appendix D.
1. Using a felt strip, damp out the outside strings from 3E to 4E.
2. If saving results in a Temperament Bank, select which one,
and zero it out.
3. Verify Cal set to 0.0 and tune the center strings of the
temperament octave unisons from 3F to 4E.
4. Beginning with note 3F, measure the string 2nd partial,
and tune string 4F to this value.
1. Set the Note Setting to [4 F].
2. Play note 3F and measure its 2nd partial by
adjusting the
Calibration until rotation
is stopped.
3. Play note 4F and tune it’s fundamental to stop
rotation.
4. Program this value into Bank Setting [4 F] if
desired.
5. Repeat step (3) for each progressive note up the keyboard until
you have tuned up to [8 C].
6. Beginning with [3 Eb], tune it such that it’s 2nd partial is matched
to the fundamental of the string one octave higher,
[4 Eb].
1. Set the Tuner to [4 Eb].
2. Play the 3 Eb note and tune it’s first partial to
stop rotation.
3. Set the Tuner to [3 Eb].
4. Play the 3 Eb note, and adjust the Tuner
Calibration to stop
rotation. This is the
Cal Setting to tune the 3 Eb fundamental to.
Program this value into the
[3 Eb] Bank if desired.
7. Repeat step (5) progressively down the keyboard until you have
tuned to [1 A ]. The stretch curve for the piano has
been set into
the Temperament Bank.
8. Tune all of the remaining strings of the unisons buy damping out one
side string and tuning the other outside string to
stop the beat.
9. Done.
PST-3
Automatic Stretch Curve Construction
The stretch curve for a given piano can also be determined directly
from a set of differential measurements, without actually tuning the
piano. This can be done by measuring the fundamental and the 2nd
partial of each string, then taking the difference to find the 2nd
partial inharmonicity of that string. These values can then be
used to construct the stretch curve. This can be done by hand, using a
spreadsheet, or by using the PST-3 special functions.
The PST-3 has a special Bank Copy Mode which will construct a stretch
curve from two sets of measurements. The first is a set of
measurements of the fundamental of strings 0A up to 7C. The second
is a set of measurements of the 2nd partial of each of these
strings. These two measurement sets are stored in special purpose
Banks. Bank 41 is used for the fundamental measurements. Bank 42
is used for the 2nd partial measurements. The stretch curve is
then figured from these data Banks, and is stored in Bank 43.
1. Measure the fundamental of stings 1A to 7C and store into
Temperament Bank 41.
1. Select Temperament Bank 41 and Unlock the Bank.
2. Set the PST-3 to note 1A. Play note 1A and adjust
the
Calibration Knob until
Strobe Display rotation is stopped.
3. Repeat step (1.2) up the keyboard to Note
7C. The tuning
of the fundamental note of
all but the high Octave is now stored
in Temperament Bank 41.
2. Measure the 2nd partial of strings 1A to 7C and store as
notes 2A to 8C in Temperament Bank 42.
1. Select Temperament Bank 42 and Unlock the Bank.
2. Set the PST-3 to note 2A. Play note 1A and adjust
the
Calibration Knob until
Strobe Display rotation is stopped.
3. Repeat step (2.2) up the keyboard to Note 7C
ending with
this partial being stored
into Note 8C. The tuning of the
2nd partial of the lower 7 octaves are now
stored into
Temperament Bank 42,
starting at note 2A up to note 8C.
3. You are now ready to use the PST-3 to develop the stretch
curve and put into Temperament Bank 43.
4. Enable the Copy Bank Functions: Turn the PST-3 off. Hold
down the Temp button while turning the power on,
keeping it
held down until the PST-3 becomes active, then
release.
5. Perform the differential copy to generate the stretch curve.
The
PST-3 must first be turned on with the Temp Button
held down
to enable the Bank Copy functions.
1. Press and hold the Disp Button until the display
changes to [CS 1].
2. Press and release the Disp Button and index until
the display shows [CE 1].
3. Rotate the Adjust Knob to index to [CE d], which
signifies differential
Copy Mode.
4. Press and hold the Disp Button until the display
changes to [dstr].
The process is complete when
the Display flashes [donE].
6. The stretch curve is now stored in Temperament Bank 43. You
can
copy it down to some other Bank for permanent
storage, and use it to
tune the fundamental of each note to the stretch
curve.
Appendix A, The Equal
Tempered Scale
N
|
Oct
|
Note
|
f
|
N
|
Oct
|
Note
|
f
|
0
|
1
|
A
|
27.500
|
48
|
5
|
A
|
440.00
|
1
|
1
|
Bb
|
29.135
|
49
|
5
|
Bb
|
466.16
|
3
|
1
|
Bb
|
30.868
|
50
|
5
|
Bb
|
493.88
|
4
|
1
|
C
|
32.703
|
51
|
5
|
C
|
523.25
|
5
|
1
|
Db
|
34.648
|
52
|
5
|
Db
|
554.37
|
6
|
1
|
D
|
36.708
|
53
|
5
|
D
|
587.33
|
7
|
1
|
Eb
|
38.891
|
54
|
5
|
Eb
|
622.25
|
8
|
1
|
E
|
41.203
|
55
|
5
|
E
|
659.26
|
9
|
1
|
F
|
43.654
|
56
|
5
|
F
|
698.46
|
10
|
1
|
Gb
|
46.249
|
57
|
5
|
Gb
|
739.99
|
11
|
1
|
G
|
48.999
|
58
|
5
|
G
|
783.99
|
12
|
1
|
Ab
|
51.913
|
59
|
5
|
Ab
|
830.61
|
13
|
2
|
A
|
55.000
|
60
|
6
|
A
|
880.00
|
14
|
2
|
Bb
|
58.270
|
61
|
6
|
Bb
|
932.33
|
15
|
2
|
Bb
|
61.735
|
62
|
6
|
Bb
|
987.77
|
16
|
2
|
C
|
65.406
|
63
|
6
|
C
|
1046.5
|
17
|
2
|
Db
|
69.296
|
64
|
6
|
Db
|
1108.7
|
18
|
2
|
D
|
73.416
|
65
|
6
|
D
|
1174.7
|
19
|
2
|
Eb
|
77.782
|
66
|
6
|
Eb
|
1244.5
|
20
|
2
|
E
|
82.407
|
67
|
6
|
E
|
1318.5
|
21
|
2
|
F
|
87.307
|
68
|
6
|
F
|
1396.9
|
22
|
2
|
Gb
|
92.499
|
69
|
6
|
Gb
|
1480.0
|
23
|
2
|
Gb
|
97.999
|
70
|
6
|
G
|
1568.0
|
24
|
2
|
Ab
|
103.82
|
71
|
6
|
Ab
|
1661.2
|
25
|
3
|
A
|
110.00
|
60
|
6
|
A
|
880.00
|
26
|
3
|
Bb
|
116.54
|
61
|
6
|
Bb
|
932.33
|
27
|
3
|
Bb
|
123.47
|
62
|
6
|
Bb
|
987.77
|
28
|
3
|
C
|
130.81
|
63
|
6
|
C
|
1046.5
|
29
|
3
|
Db
|
138.59
|
64
|
6
|
Db
|
1108.7
|
30
|
3
|
D
|
146.83
|
65
|
6
|
D
|
1174.7
|
31
|
3
|
Eb
|
155.56
|
66
|
6
|
Eb
|
1244.5
|
32
|
3
|
E
|
164.81
|
67
|
6
|
E
|
1318.5
|
33
|
3
|
F
|
174.61
|
68
|
6
|
F
|
1396.9
|
34
|
3
|
Gb
|
185.00
|
69
|
6
|
Gb
|
1480.0
|
35
|
3
|
G
|
196.00
|
70
|
6
|
G
|
1568.0
|
36
|
3
|
Ab
|
207.65
|
71
|
6
|
Ab
|
1661.2
|
36
|
4
|
A
|
220.00
|
72
|
7
|
A
|
1760.0
|
37
|
4
|
Bb
|
233.08
|
73
|
7
|
Bb
|
1864.7
|
38
|
4
|
Bb
|
246.94
|
74
|
7
|
Bb
|
1975.5
|
39
|
4
|
C
|
261.63
|
75
|
7
|
C
|
2093.0
|
40
|
4
|
Db
|
277.18
|
76
|
7
|
Db
|
2217.5
|
41
|
4
|
D
|
293.66
|
77
|
7
|
D
|
2349.3
|
42
|
4
|
Eb
|
311.13
|
78
|
7
|
Eb
|
2489.0
|
43
|
4
|
E
|
329.63
|
79
|
7
|
E
|
2637.0
|
44
|
4
|
F
|
349.23
|
80
|
7
|
F
|
2793.8
|
45
|
4
|
Gb
|
369.99
|
81
|
7
|
Gb
|
2960.0
|
46
|
4
|
G
|
392.00
|
82
|
7
|
G
|
3136.0
|
47
|
4
|
Ab
|
415.30
|
83
|
7
|
Ab
|
3322.4
|
|
|
|
|
84
|
8
|
A
|
3520.0
|
|
|
|
|
85
|
8
|
Bb
|
3729.3
|
|
|
|
|
86
|
8
|
B
|
3951.1
|
|
|
|
|
87
|
8
|
C
|
4186.0
|
Appendix B, Alternative Temperaments
Note
|
Equal
|
Just
|
Pathagorian
|
Mean
|
|
A
|
0.0
|
0.0
|
0.0
|
0.0 |
|
Bb
|
0.0
|
33.2
|
-9.8
|
17.6 |
|
B
|
0.0
|
3.9
|
3.9
|
-6.4 |
|
C
|
0.0
|
15.6
|
-5.9
|
10.4 |
|
Db
|
0.0
|
-13.7
|
7.8
|
-13.3 |
|
D
|
0.0
|
19.6
|
-2.0
|
3.6 |
|
Eb
|
0.0
|
31.3
|
-11.8
|
20.7 |
|
E
|
0.0
|
2.0
|
2.0
|
-3.3 |
|
F
|
0.0
|
13.7
|
-7.8
|
13.6 |
|
Gb
|
0.0
|
-15.6
|
5.9
|
-9.7 |
|
G
|
0.0
|
17.6
|
-3.9
|
7.0 |
|
Ab
|
0.0
|
-11.7
|
9.8
|
-17.0 |
|
Appendix C, Cents to A Frequency Conversion
Table
F(A)
|
Cents
|
f(A)
|
Cents
|
f(A)
|
Cents
|
F(A)
|
Cents
|
430.0
|
-39.8
|
435.0
|
-19.8
|
440.0
|
0.0
|
445.0
|
19.6
|
430.5
|
-37.8
|
435.5
|
-17.8
|
440.5
|
2.0
|
445.5
|
21.5
|
431.0
|
-35.8
|
436.0
|
-15.8
|
441.0
|
3.9
|
446.0
|
23.4
|
431.5
|
-33.8
|
436.5
|
-13.8
|
441.5
|
5.9
|
446.5
|
25.4
|
432.0
|
-31.8
|
437.0
|
-11.8
|
442.0
|
7.9
|
447.0
|
27.3
|
432.5
|
-29.8
|
437.5
|
-9.9
|
442.5
|
9.8
|
447.5
|
29.3
|
433.0
|
-27.8
|
438.0
|
-7.9
|
443.0
|
11.8
|
448.0
|
31.2
|
433.5
|
-25.8
|
438.5
|
-5.9
|
443.5
|
13.7
|
448.5
|
33.1
|
434.0
|
-23.8
|
439.0
|
-3.9
|
444.0
|
15.7
|
449.0
|
35.1
|
434.5
|
-21.8
|
439.5
|
-2.0
|
444.5
|
17.6
|
449.5
|
37.0
|
|
|
|
|
|
|
450.0
|
38.9
|
Appendix
D, Further Reading
Piano Servicing Tuning & Rebuilding
Arthur A. Reblitz (1993), The Vestal Press
PIANO TUNING, A Simple and Accurate Method for Amateurs
J. Cree Fischer (1907)
THE SEVENTH DRAGON: The Riddle of Equal Temperament
Anita T. Sullivan (1985), Metamorphous Press.
"The Endangered Piano Technician"
Essay, James Boyk, Scientific American December 1995
The Science of Sound
Thomas D. Rossing (1982), Addison-Wesley Publishing
The Acoustical Foundations of Music
John Backus (1977), W W Norton and Company
PST-3
Specifications
Dimensions: 4.25 x 5 x 2 inches
(excluding knob)
Power Supply: 7 - 12 Volts DC, 150 mA
(Center Pin Positive)
Accuracy:
Temperament (Note Spacing); better than .001 Cent
Absolute; .01 Cent.
Temperature
Drift: Less than .1 Cent over
0* C to 40* C.
Tuning Range: 1A to 8C
Calibration Range: * 80 Cents in
.1 Cent Increments
Temperament Memories: 40 Banks, 88 Notes Each
Software Version: 1.0
Jim Campbell
Ann Arbor, MI
(734)994-4074
US Pat 5777248
www.precisionstrobe.com
June 6, 2003