Raul, I'm not sure we're in complete agreement on all points.
I do agree that respecting the designer's geometry will result in the tracking they had in mind when creating a given arm. Most of the time, this is the geometry that will yield the lowest "worst case" tracking error.
The effective length, cartridge mounting angle and spindle-to-pivot distance are closely related. Designers must consider all of these variables for an arm. Changing the value of one changes the value of the others FOR A GIVEN GEOMETRY. (Not shouting, just emphasizing the point.) It's all about math / geometry.
For any given arm, when the cartridge mounting angle is fixed as designed and the effective length of the arm is as designed (this includes stylus overhang), there will be one position of spindle-to pivot length that will work for the designer's lowest "worst case" tracking error and null point across the swing of the stylus over the record surface. (sorry for the long sentence) Changing one parameter of the three will change the geometry. There will be different null points on the arc, the "worst case" tracking error may be higher.
To illustrate this, let's look at different arms from the same manufacturer. A VPI JMW-series 9" arm will have a designer's fixed effective length, spindle-to-pivot distance and cartridge mounting angle. Changing to a 12" wand changes EVERYTHING (for a given geometry). The designer's spindle-to-pivot distance and effective length increases, the cartridge mounting angle changes (decreases). The arc shallows across the record resulting in smaller "worst case" tracking errors FOR THE SAME GEOMETRY (fixed null points). The spindle-to-pivot distance is critical to the success of the geometry.
It is possible for a user to change the effective length of an arm by increasing the spindle-to-pivot distance and increasing both the overhang and slightly reducing the cartridge mounting angle. These variables are all closely related for a given geometry. Careful computation and positioning in this scenario could result in a smaller "worst case" tracking error (for a given geometry).
It's not difficult, it's not subjective, it's math (geometry).
HTH,
Bill
I do agree that respecting the designer's geometry will result in the tracking they had in mind when creating a given arm. Most of the time, this is the geometry that will yield the lowest "worst case" tracking error.
The effective length, cartridge mounting angle and spindle-to-pivot distance are closely related. Designers must consider all of these variables for an arm. Changing the value of one changes the value of the others FOR A GIVEN GEOMETRY. (Not shouting, just emphasizing the point.) It's all about math / geometry.
For any given arm, when the cartridge mounting angle is fixed as designed and the effective length of the arm is as designed (this includes stylus overhang), there will be one position of spindle-to pivot length that will work for the designer's lowest "worst case" tracking error and null point across the swing of the stylus over the record surface. (sorry for the long sentence) Changing one parameter of the three will change the geometry. There will be different null points on the arc, the "worst case" tracking error may be higher.
To illustrate this, let's look at different arms from the same manufacturer. A VPI JMW-series 9" arm will have a designer's fixed effective length, spindle-to-pivot distance and cartridge mounting angle. Changing to a 12" wand changes EVERYTHING (for a given geometry). The designer's spindle-to-pivot distance and effective length increases, the cartridge mounting angle changes (decreases). The arc shallows across the record resulting in smaller "worst case" tracking errors FOR THE SAME GEOMETRY (fixed null points). The spindle-to-pivot distance is critical to the success of the geometry.
It is possible for a user to change the effective length of an arm by increasing the spindle-to-pivot distance and increasing both the overhang and slightly reducing the cartridge mounting angle. These variables are all closely related for a given geometry. Careful computation and positioning in this scenario could result in a smaller "worst case" tracking error (for a given geometry).
It's not difficult, it's not subjective, it's math (geometry).
HTH,
Bill