SAT3 octaves

Jim Coleman, Sr. pianotoo@imap2.asu.edu
Thu, 23 Jan 2003 23:37:49 -0800 (PST)


>From Jim Coleman, Sr.

Since several did not write me personally but requested my notes from the 
pianotech list, I decided to include the notes here. There may be some 
application to the use of other ETDs, but none of the others have the
convenience of Double Octave Beat control (DOB) on the fly.

Custom SAT 3 Tunings
	Only one inharmonicity sample (A4) is taken. Double Octave Beat 
(DOB) is used
to control the Midrange, Treble and Bass stretch. During classes at PTG 
Conventions, the author has
discovered that the audience preferred melodically stretched triple 
octaves that are much wider than
harmonically stretched octaves. Since melodically stretched triple 
octaves are intolerable, harmonically
speaking, a balance between single, double, and triple octaves is 
suggested.
	FAC tunings work just fine for large, well scaled pianos. They are 
predicated upon the idea that a
double octave should have approximately 1/3 beat stretch and that the 
Bass 6-3 type octave should have a
similar stretch. Custom Tuning allows the technician to control the 4-1 
Double Octave Beat according to
his/her own preferences. The author's preference is to have a balance 
between the single , double, and triple
octaves in the treble section and to have cleaner 6-3 type octaves in the 
Bass except in large pianos which may
tolerate even more stretch than the FAC type.)
Here is one way to do it:

Turn on SAT 3 then press Tune button
TUNE A4 to stop LEDs
Change to OCT 6
Press MSR button and Up/Dn Cents buttons to stop LEDs
Multiply the value in Cents window by 0.8 to get the resultant Stretch 
Number
Hold down blue SHIFT and touch STO-Stretch to store this Number.
Accept the Stretch numbers of F3 = 8.0 and C6 = 6.0 as defaults. (DOB 
will control this).
Press PAGE-Up once to select page 1.
Hold down STRETCH, hold down MEM, release STRETCH, release MEM.
A complete tuning will be calculated in 5 seconds when A0 appears.
Set OCT = A3, Play A4 which was already tuned. If LEDs drift to left,
	add Double Oct Beat control until the LEDs stop by holding down
	Blue SHIFT and touching CENTS-Up. Then change Note Up/Dn to
	make the DOB apply. Repeat this process until the LEDs stop.
If you wish to have a half beat stretch in the A3-A4 (4-2) octave 
relationship,
	add another 0.5 DOB. This will make the F3-A3 M3rd 1/2 beat slower
	than the F3-A4 M10th after the A3 is finally tuned. If you wish only
	a 0.3 difference in the Octave, then add only 0.3 DOB.
Tune downward from A4 to the break, making use of aural test intervals 
like
	M3rds, P5ths, and M6ths as they become available for ease of tuning.
	Try to keep the octaves below F3 as 6-3 type octaves on medium
	sized pianos.  After tuning the E3, play previously tuned E4 (set 
SAT 3
	to B5 in TUNE mode and stop LEDs with CENTS buttons). Play E3.
	If the LEDs are stopped, you have a perfect 6-3 type E3-E4 octave.
	Use the aural test E3-G3 = G3-E4. The E3-G3 beats will be the same
	as the G3-E4 beat rate. If the E3-G3 beat rate is slower, then the 6-3
	octave relationship is stretched and the LEDs at B5 (Tune mode) will
	be moving to the left when E3 is played. If this occurs, then possibly
	the DOB could be reduced gradually at this point. Don't forget to get
	back into MEM mode after any checking in TUNE mode. It is much
	easier to do this than to write about it.
Tune from A4 to C5 in the original DOB value.
After tuning C5, change to C6 temporarily to check how the intervals 
(octave,
	double octave, 12ths and 19ths)  will come out by the time you get
	to tuning C6. Ie. when playing C5, C4, F4, and F3. The LEDs will 
probably  				
be moving to the left while playing octaves or double octaves. the
	LEDs will probably be moving right or be stationary for the 12ths and
	19ths. Try to get a balance between the 12th and the 19th in order to
	get a reasonable triple octave (C3) unless the single octave C5-C6 will
	be too wild. Use DOB to accomplish this balance.
	If in using the 12ths or 19ths, the LEDs are moving right, the 12th or
	19th is narrow. If the LEDs are moving left, the 12ths or 19ths are
	widened. It is usually best if the 12th is widened only slightly and the
	19th is narrowed slightly. In most cases this will make the triple octave
	about right.
Tune all notes from C5 through C6 with this DOB setting.
After tuning C6 change the Octave to C7 to see how things will be when 
you finally
	get to C7. Play  C6, C5, C4, F5, F4, to check the single, double, 
and triple
	octaves, as well as the 12th and 19th relationships. If balancing 
out these
	intervals requires a different DOB, then plan to gradually change DOB
	through the next octave C6 to C7 to accomplish what the C7 will require
	for best balance when you get to C7. These settings will accomplish
	smooth graduations of the 10ths and 17ths, and provide a good 
balance in
	the single, double and triple octaves.
After tuning C7, change to C8 to see how the current DOB setting will 
manage the
	single, double, and triple octave relationships as well as managing the
	12ths and 19ths. Again, try to balance out all of these intervals by 
adjusting
	DOB gradually in the 7th octave to meet the repquirements of C8 if
	necessary. Most people can tolerate up to 5 bps in the single octave in
	this area since the duration of these notes is very short


Bass tuning in MEM mode is quite simple. For MEDIUM and SMALL pianos, it 
is
	best to maintain pure 6-3 octaves. This can be controlled with DOB
	by playing the upper (pretuned) note and stopping the LEDs with DOB.
	If while playing the upper note the LEDs move to the right, you need
	less DOB or possiby negative DOB to stop the LEDs. Then tune the
	lower note of the octave to this setting. About every 4 or 5 notes
	going down the scale you may need to revise the DOB to maintain pure
	6-3 type octaves.
Bass tuning for larger pianos may sound better with 8-4 type octaves. For
	example, while tuning C2 to (previously tuned) C3, you could set the
	SAT3 to F2 (its 6th partial will be displaying C5). Play C3 and stop the
	LEDs with DOB changes which its 4th partial requires. Play and tune C2
	to stop the display with its 8th partial. An aural test for this 
would be
	to play C2-G#2 = G#2-C3.  8-4 tuning is usually wider than 6-3 tuning.
	On very large grands even 10-5 tuning can be used. An
	example might be in tuning C1 to C2, one could set the SAT 3 to A1
	(its 6th partial would be at E4  which is the 10th partial of C1). With
	either Cents resets or DOB control one can stop the LEDs while playing
	C2 and then tune C1 to stop the LEDs. The aural test for this would be:
	C1-A1 = A1-C2. 

Jim Coleman, Sr.

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