Chris,
Your new P2S would be fine. To get the new effective length it is more useful to also take 307 * sine 16.8, as this gives the linear offset, which is a constant for any particular alignment, and doesn't change when using integrated headshell cartridges. Not that it makes much difference to the calculation, except to illustrate the change in cartridge offset as the effective length increases. You can get more of a sense of this if you imagine an elongated SPU with stylus at say 200mm. The headshell offset of the arm doesn't change -it is still 16.8 - but the angle between the plane of the cantilever and the arm pivot would be much much reduced as the effective length increases.
In your case, 307* 0.289 = 88.73mm. Together with your new extended third side at 295.9 this gives (by Pythagoras) the new effective length of 308.9mm and an effective offset of 16.69 degrees. A 12mm overhang would be a good choice. To maintain the original alignment it should be trifle less, but it is neither here nor there. As you say this gives a P2S of 296.9mm /297mm.
Halcro,
If one were to do the calculations as you suggest......with and SPU or FR-7 type of fixed headshell......surely the Off-Set angle cannot be changed?
Nor can the Overhang or Effective length.
The only parameter able to be changed is the Pivot to Spindle distance?
The offset changes as the effective length increases, and overhang is simply what is left after P2S is set, or vice versa.
Ideally, you are correct in saying that one should measure the actual effective length if you wish to set an exact P2S for a particular alignment. Alternatively with a sliding base this is not necessary, as the P2S will be correct when the cartridge is aligned with the arm's two original nulls.
One would imagine that the FR-7 series (because they are made by the same manufacturer as the tonearm) would be spot-on the specified 12mm?
One would hope so, though I don't know, in which case altering the P2S would not be a good move.
The problem that Jazzdax poses
The length of the SPU is 52 mm instead of the 50 mm recommended by Ikeda.
does not necessarily indicate a 2mm difference in stylus Overhang?
One would need to accurately measure this as I describe..... before plugging those figures into the Vinyl Engine Calculator to ascertain the new P to S distance and the consequent new Null Points with the accompanying distortion figures.
The thing to realise is that it is effective length that increased by 2mm if that is the case. The overhang is the effective length minus the P2S, whatever it is. With a slotted headshell, if effective length varies, then because P2S is fixed, overhang varies. With a sliding base, if P2S varies, then because effective length is fixed, overhang varies.
Unoear,
Thanks for that.
John