The calculation method for the optimal position l
There is currently no consensus among modern violin makers regarding the exact position of the bass beam relative to the center of the panel. Usually, the upper end of the bass beam is located slightly to the right in the center of the panel, while the lower end of the bass beam is located further away from the upper end. Isaak Vigdorchik attempted to find the optimal position for placing the bass beam in his research, in order to achieve the best sound quality of the instrument.
Based on the above research, Isaak Vidorchik has developed his method for determining the optimal position of the bass beam relative to the center of the panel through measurement and calculation. The following is the specific calculation formula, taking the calculation of the position of the bass beam on the upper half of the panel as an example:
Assuming that the width of the widest part of the circle on the panel is 168mm, the width of the widest part of the circle on the panel is 168mm divided by 2.4, which equals 70mm. The width of the bass beam is 5.5mm divided by 2, which equals 2.75mm. The sum of 70mm and 2.75mm equals 72.75mm. The result of 72.75mm is the distance from the outer edge of the widest part of the semicircle on the panel to the side of the bass beam near the center of the panel.
Similar calculations can be performed using the data at the widest point of the lower circle of the panel to determine the exact position of the bass beam in the lower half of the panel. Connect this point with the low-frequency beam obtained in the previous example at the semi-circular position on the panel and draw a line to provide guidance for the installation of the low-frequency beam. It must be noted that the horizontal line at the widest point of the upper and lower semicircles of the panel is not the end of the bass beam length.
This calculation formula can help determine the position of the bass beam on the panel. By dividing the width of the upper and lower segments by 2.4, the optimal position of the bass beam relative to the center of the panel can be determined. According to this calculation method, the position of the bass beam should vary depending on the instrument, and the specific position should depend on the size obtained through actual measurement.
Of course, there are other methods to determine the position of the bass beam. The currently common method is:
The first method is to connect the middle line of the two f-hole incisions, with the intersection point of this line with the center line of the panel as the center, and use a compass to draw the actual width of the piano horsefoot 41mm. Mark the widest point of the horsefoot on the bass side of the panel, 1.5mm inward. This is the positioning point at the foot of the bass beam.
The second method is to mark the widest part of the semicircle on the panel, from the centerline to the outer edge of the side panel, in an average of 7 equal parts, and mark the first equal part from the centerline. Perform the same task at the widest point of the lower half of the panel. Connect the two points of the upper and lower semicircles to determine the direction of the bass beam.
The third method is that when the line dividing the upper and lower semicircles into seven equal parts cannot coincide with the positioning point at the foot of the horse, the position of the bass beam must be moved parallel to the positioning point at the foot of the horse.
The distance between the two ends of the modern violin bass beam and the upper and lower outer edges of the panel is basically equal. The length of the bass beam is determined by subtracting the length of the bass beam from the length of the panel, and then dividing by 2 to obtain the relative position and distance between the two ends of the bass beam and the upper and lower outer edges of the panel.