For Aural Tuners only

Jim Coleman, Sr. pianotoo@imap2.asu.edu
Sat, 04 Dec 1999 01:23:33 -0700 (MST)


Hi to all the faithful:

Many have asked about tuning small spinets like the Acrosonics. When I
worked for the company, I developed a method which always gave satisfactory
results in the temperament area. This involved carefully setting the
temperament between A3 and A4. Of course this involves listening to 
higher beat relationships is helpful. It helps to stretch this octave as 
much as possible. I found using the 6-3 type octave matching where the 
minor 3rd A3-C4 would beat the same as the M6th C4-A4. This can even be 
stretched a little more, so that the minor 3rd is just barely slower than 
the M6th.

In tuning downward from this area, the next two notes need to be especially
lowered so that their 5ths are pure (would you believe I have even tuned
them on the wide side occasionally?). This helps to keep the M3rds G-B and
Ab-C4 from slowing down too much due to their greater inharmonicity.

Then when tuning the F#3 which is the highest wound string on an Acrosonic,
it may be necessary to tune this with its octave F#4 as a pure 6-3 octave.
This keeps its M3rd from being too fast. There may be a resultant 5th
which is a bit narrower than you would like, but rejoice, the M3rds will
fit better. Follow this same procedure on down into the Bass, trying to
keep the M3rd decreasing in speed as you go, but giving some attention to
the 5ths that they not be too busy. It's a compromise all the way, but give
more attention to the overall sound of the octaves, letting the 3rds and
10ths guide you.

Tuning the treble of the Acrosonic is a dream, one of the nice 
compensations in life and this is what has made the piano the most popular
of all spinets.

Below is a list of inharmonicity readings taken with the TuneLab program.
In it you can see why so much juggling is necessary.

partials     2     3     4      5      6      7      8      9     10
C3   0.00   0.6	  0.75  0.35   1.72   2.80   4.21   5.95  11.06  14.76

C#3  0.00   2.59  2.01	5.02   7.20  10.21  13.09  16.53  24.01	 33.44
D3   0.00   2.17  4.08	4.62   7.29  10.21  13.31   4.93  24.76	 34.80
D#3  0.00   2.76  4.69  6.20   8.73  11.64  14.69  18.15  26.42	 36.20
E3   0.00   2.26  2.88  4.49   5.41   8.37  10.37  13.91  20.26	 ?
F3   0.00   2.77  3.57	4.81   6.33   8.53  10.94  13.00  19.79	11.99
F#3  0.00   4.10  4.81  5.95   7.44   9.20  11.33  14.03  ?	 ?

G3   0.00   2.27  5.71  9.38  14.73  20.90  28.42  ?	  ?	 48.43
G#3  0.00   0.83  4.57  8.12  13.18  19.05  26.12  33.99  30.65	 32.10
A3   0.00   1.57  3.90  7.34  11.92  17.17  23.72  30.99  48.19	 68.96
A#3  0.00   0.48  2.77  6.53  10.91  16.50  21.63  30.26  47.52	 -8.25
B3   0.00   1.85  3.86  7.23  11.31  16.40  22.25  28.90  44.30	 -12.07
C4   0.00   0.78  2.83  6.40  10.53  15.63  21.79  28.62  45.87	 64.74
C#4  0.00   1.55  3.86  7.54  11.77  17.07  23.31  30.44   5.34	 -7.28
D4   0.00   1.90  4.70  8.62  13.14  18.68  25.52  32.65  50.60	 45.12
D#4  0.00   1.10  5.03  8.33  12.85  18.14  24.62  30.49  48.92	 69.20
E4   0.00   0.30  4.00  7.83  12.35  17.89  24.54  32.07  49.80	 -8.34
F4   0.00   2.01  4.81  8.65  13.62  19.34  26.49  34.14  52.94	 38.55
F#4  0.00   2.26  5.04  9.14  14.80  21.07  28.79  37.34  57.94	 29.03
G4   0.00   3.51  6.72 11.18  16.84  24.03  32.06  41.64  ?	 ?
G#4  0.00   4.32  8.11 12.87  19.61  27.02  36.41  46.38  -2.35	 23.31
A4   0.00   1.06  4.87  9.31  15.72  22.86  31.78  41.64  -5.44	 ?

The lower partials of the notes around the break display quite a bit of
irregularity. Wound strings were placed in the Tenor section in order to
keep the tension level up. This was at the cost of a big jump in
inharmonicity going from the wound to the plain wire. I put a space in
the chart above to indicate the break between the wound and the plain
strings and between the Bass and the Tenor.

Other spinets which have wound strings in the Tenor have similar
problems, but using the general rule that the lowest plain strings are
to be tuned a little flatter and in some cases the highest wound strings
to be tuned a little sharper usually will help in smoothing out the
temperament area across the break.

Jim Coleman, Sr.


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