Jim: Would you mind posting the formula for your Coleman 11 temperament. Thanks, David Love ----- Original Message ----- From: "Jim Coleman, Sr." <pianotoo@imap2.asu.edu> To: <pianotech@ptg.org> Sent: April 18, 2001 7:43 PM Subject: class notes on SAT III > Here are my notes, slightly revised since Convention: > > Reno PTG Institute SAT III Class Jim Coleman, Sr. > ( Notes slightly expanded) > Harmonics vs partials. Showing exponential increase of higher partials. > > OLD STYLE F4 TUNING - ONLY ONE MEASUREMENT. Play F4, Tune, stop dots > (LEDs) at F5, Stop dots at A6 with cents buttons. This displays Stretch > Number. > Hold down SHIFT, press STO-Stretch. Press Stretch again to get into > Stretch Mode > TUNING. Left window will show C3, Rt window will show cents value for > this note. > Start tuning at A4. When that is good change SAT to A3 to see how the 4-2 > octave > relationship looks. When you play the A4 and look at the display, you can > see how > much sharper the A4 is compared to what the A3 will be when it is tuned. > When the > SAT is at A3 it will be listening at A5, its 4th partial. When playing > A4, its 2nd partial > will display showing the dots moving to the Rt. usually. An aural test > will show the > F3-A4 (10th) beating just slightly faster than the F3-A3 (M3rd). Most of > us like a little > additional stretch of the A3-A4 octave so that the 10th will beat a half > beat per second > (bps) faster than the 3rd. At the listening pitch of A5 you need the A4 > note to display > about 1.0 cents higher than the A3 when it is tuned. Old style F4 Stretch > tuning only > goes from C3 to F6. If one prepares some FAC tunings ahead of time on 10 > pages > of memory, one can select a page of memory which has a similar value to > the value > of F6 of this present tuning in order to continue on up to note 88. > Likewise, one can > select a page of memory which has a value the same as the note C3 for > tuning down > into the Bass. > > LISTENING TO BEATS. As you tune down the scale from A4, you can listen > to M3rds > beginning 4 half steps down. 7 half steps down, you can listen to the > 5ths. I like to > follow both of these intervals down while tuning. There is no law saying > that an > electronic tuner-technician cannot listen while he tunes. If in the > process he notices > that the 3rds are slowing down too fast, he can incorporate the Double > Octave Beat > (DOB) to stretch out the octaves a little more. In the Bass, if one likes > tighter octaves, > negative DOB can be incorporated to make the 6-3 octave relationship > pure. I like to > begin this at B2 going down into the Bass, or wherever the wound strings > begin. > > ACCUFORK II With 2 Accuforks one can hear beats of many speeds. When > listening to beats at A4, one can hear a beat an octave higher which can > be a > problem in aurally setting the A4. Be sure to listen to the Fundamental. > Tune a one octave temperament with the A3, A#3, B3, C4 of the AccuFork > Test or > correct it with contiguous 3rds, 4ths and 5ths. > > SIMPLE FAC TUNING *** ONLY ONE MEASUREMENT ***. In the SAT III the > default > stretch numbers are 8.0, 7.0, 6.0 for the 3 notes which we normally > measure. Measure > ONLY THE A4 and use the defaults of the other two. Select a page of > Memory. Hold > down STRETCH, hold down MEM, release STRETCH, release release MEM. > In general the F3 Stretch number controls the additional stretch of the > Bass and the C6 > number controls the additional stretch of the High Treble, especially the > top octave. > This additional stretch or shrink of the octave can be controlled by the > DOB on the fly > as you go. This will work for the SAT I, II if you just put in the dummy > stretch numbers > 8.0 for F3 and 6.0 for C6. Then instead of using DOB which you don't > have, you can > do gradual resets as the beats indicate more stretch is needed in either > direction. > > GETTING THE A440 FUNDAMENTAL RIGHT ON! Now you can start tuning immed- > iately, you don't have to do a lot of measuring before tuning. TUNE the > A4 immediately > after turning on the SAT III and getting out of Calibrate mode. Play and > tune A4 very > accurately, then with the OCT button, jump up to A6, measure the > sharpness of A4's > 4th partial by stopping the dots with the MSR or cents buttons. Multiply > this figure by > 0.8, adjust the cents window to this value and hold down > SHIFT-STOStretch. > Assume the default stretch values for F3 and C6. Select your page of > Memory and > do the STRETCH to MEM rollover to compute the tuning. Set SAT III to A3 > to view the > octave relationship even before tuning A3. Add DOB if it is indicated. > For SAT I or II > users, you can increase the A4 Stretch value to widen the center octaves > as > explained in the May '97 Journal articles. Just remember to add the same > amount to > reset as you added to the A4 Stretch number when you go from B4 to C5. > Keep this > reset up to C8 unless you like even more stretch in the treble. > > AUTO NOTE STEPPING. Hold down SHIFT and press NOTE/Up to use automatic > note changing in the up direction. You can also hold down SHIFT and > NOTE/Dn to > progress in the downward direction. You may toggle each direction on or > off. You > may have both directions turned on. > > USING SEQUENCING TO PRACTICE YOUR AURAL TEMPERAMENT. Hold down > the SHIFT button and press the OCT/Up once to bring up the 1st sequence > which is > the Baldassin/Sanderson two octave temperament. I have stored the > Baldassin- > Sanderson-Kimbell-Tremper temperament as Se-2 (second sequence). To bring > this up, I hold down the SHIFT button and press OCT/Up once more. SE-2 > will > appear in the Rt. window. Touching the NOTE/Up button once will start the > sequence > at A4. It is more convenient to use a footswitch or thumb switch. Regular > computers > do not have this capability. Begin demo of BSKT using eyes and ears. > > STORING YOUR OWN SEQUENCES. Holding down PAGE/Up, go beyond page > 198 to Sequence page SE-1. Select your 1st note and octave. With the > CENTS > button, select 1 (no decimals will appear in the Rt window at this time). > Hold down > SHIFT, press MEM to store this first sequence note. Select your next > note/octave, > then with CENTS button, enter 2, then SHIFT-MEM. Continue in like manner > selecting > Note/OCT 1st then entering the sequence number in the Rt window. It is > good to > have this sequence written down first before you start so you don't get > confused > (you ask how I know?). > > CONVERTING A MEMORY TUNING INTO AN HISTORICAL TEMPERAMENT. There > are 2 pages of memory above 198 and the 4 Seq. pages which can contain 14 > historical temperament deviations from ET. These 12 note deviations can > be applied > or added to any complete tuning in memory. They will affect the 12 notes > in each of > the 7 1/4 octaves. For example: the 12 deviations stored from C1 to B1 on > page 1-7t > will be added to each of their respectivel notes from A0 to C8 of a > selected page of > memory. Each octave of this page 1-7t will hold a separate group of 12 > deviations. > The next page above the one titled 1-7t is titled 1-14 which will hold 7 > more sets of > historical deviations. These are input at the factory for you if you care > to use them. > You may overwrite them with your own preferences. The Kirnberger III is > stored in > octave C1-B1 of page 1-14t. To use this temperament, you would first > select the page > of memory for this particular piano you are tuning. Then hold down the > SHIFT button > and press the PAGE/Up button until 8t appears in the Rt window. This > immediatley > adds the Kirnberger deviations to each note as you tune the piano. I > stored the > Coleman XI on my page 1-7t in octave 3. I set 3.0 cents for C3 and > pressed > SHIFT-MEM to store, then 0.0 for C#3, etc. through B4 at -3.0. Here are > all the values > from C through B: 3.0, 0.0, 0.0, 0.0, -3.0, 4.0, -2.0, 2.0, 0.0, -1.0, > 2.0, -3.0. This is a > very mild Well Temperament which has no bad 5ths or 4ths, but has > graduated beat > rates in the M3rd progressing evenly from no sharps or flats to 6 sharps > or flats. > When I wish to use this temperament, I calculate my tuning on a page of > Memory, > then hold down SHIFT and press PAGE/Up 3 times to get to 3t in the Rt. > window. > This incorporates the temperament deviations on my selected page of > memory. > > GIVING YOURSELF A SIMULATED PTG TUNING TEST, PART 1. First, put your > very > best FAC tuning on a good quality piano. Write down the values for the > notes C3 to > B3. Then press the PAGE/Dn button to locate the EEE page, then the POI > page, then > stop at the SUP1 page. Input the values of C3 to B3 by holding down the > SHIFT > button and pressing the MEM button for each of the written values. At C4 > it will be > necessary to play the tuned C4, adjust the Cents to stop the dots and > store this > values as the previous values were stored (this is due to the fact that > the exam uses > 2nd partials instead of 4th partials which the FAC tuning uses in this > octave). Store > each values similarily through B4. Select page UUU by holding down the > PAGE > button until it stops a UUU. Detune the piano to these values. Next, tune > the piano > aurally in the area of C3 to B4 the very best you can without looking at > the SAT III. > Turn on SAT III, press PAGE/Dn to get to page EEE. At each note from C3 > to B4, > play the note and stop the dots with the MSR or CENTS buttons, hold down > SHIFT, > press MEM and advance until all tuned notes are recorded. Change note to > the > lowest note of your temperament (usually F3), hold down Green SHIFT2 > button and > press NOTE/Dn. This records your temperament octave. Then hold down the > Green > SHIFT2 button and press OCT/Dn to score any penalty points. which you may > have > incurred. These will show up as a plus or minus number in the Rt window > as you hold > down the NOTE/Up or NOTE/Dn. If you have 8 or less penalty points you > pass the > temperament. If you have 13 or less penalty points from C3 to B4, you > pass the > Midrange. > > > If time permits: Pitch Raising anyway you like, Battery check, Tuning to > different pitches, > adding S/N Zero Reset, copying FAC #'s to another page of memory, > recalling Stretch > numbers, Warm stop or start, audio in and out, MIDI in & out, 4 light > readings for greater accuracy Octave compromises. > > > Jim Coleman, Sr. > > PS I have removed myself as a distributor of SAT IIIs. Yes, we are still > good friends. I did this to remove any criticism of bias because I was > selling SATs. I can now give my unbiased opinion of the SAT III. It is > still my favorite electronic tuning instrument and I expect it to > continue to be for some time. I am primarily an educator not a salesman. > You have questions? Write me privately.
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