Geometry for pivot tonearms - calculation errors??


During several threads in Audiogon's Analog forum the question of pivot tonearm geometry was discussed widely and wildly the past weeks. There seems to be a great confusion about the interelation - and interaction - between overhang, offset, effective length, mounting distance and the position of the 2 zero-error points on the arc over the LP's grooved area.
However - the correct tonearm geometry is paramount for the performance of any analog sourced High-end system.

Do we need a new calculation of these parameters?
Is mounting distance a variable factor in a given pivot tonearms geometry?
Can overhang serve as the fixed parameter for a pivot tonearm?
Is effective length a variable or a fixed parameter in pivot tonearm geometry?
Is there anything like an optimum geometry for a given cartridge/pivot tonearm set-up?

I invite all interested in this complex and very important topic to contribute their thoughts. If possible please do include the geometrical derivation for any given theory and opinion.
This might be difficult in some examples, but please try.
By doing so, - this will keep this thread on terms and will make it more valueable for all.
dertonarm

Showing 2 responses by johnbrown

Wow-you need to spend more time at VA. This stuff has been widely discussed, and thanks to some kindly VA members virtually anyone willing to put in a little study can be an alignment expert. But here's a good start:

John Elison has an excel spread sheet that allows you to extrapolate null points for any pivot-to-spindle and effective tonearm length for both Lofgren A (Baerwald) and Lofgren B. The link below gives you instructions, and there is a link at the bottom of that page to the actual Excel file. (BTW, JE's on a crusade to call Baerwald 'Lofgren A', since his studies have shown that Lofgren published an identical geometry long before Baerwald)

http://www.avhub.com.au/Features.aspx?MagazineID=5&FeatureID=85

Conrad Hoffman (old nuff 2 no better) has produced an arc protractor calculator that allows you to input custom spindle-to-pivot lengths, null points, etc. to print out an arc protractor of your own design. A boon for those of us with several makes of tonearms, and it's fun exploring differing alignment configurations (it has inputs for Lofgren A (Baerwald), Lofgren B, and Stevenson) to determine which alignment you prefer. For you Mint, or other custom, protractor buyers, this will allow you to dictate to the custom builder the parameters that *you* enjoy, from actual experience.

http://www.conradhoffman.com/chsw.htm

Then, of course, there's the great Cartridge Data Base produced by 'EdAInWestOC' that has a wealth of data on specific cartridges, along with a calculator to allow you to match your cart's compliance and mass to an arm with the correct effective mass. Thanks again Ed for all your hard work.

http://www.cartridgedb.com/

Plus, the Vinyl Engine has several good articles exploring pivot tonearm geometry, and searching the archives at VA will provide a great deal of discussion and added knowledge. But the three links above make the whole deal so, so much easier.
Raul-thanks, and maybe all the info and links I presented-*in one post*-will help others to start studying the issue.

Dertonarm-Well, for me-I'm no math wizard-the combination of the JE and CH programs allow me to take alignment theory as far as I want to go. When you've got one program that will allow you to manipulate any of the parameters of the pivot-arm geometry, display the null points in graph form, and then show the percentage of distortion of the stylus through that arc, and *then* use the CH program to immediately print out a protractor that displays that alignment-that's as far as I can go. I'll leave it to others smarter than I to come up with 'new' interpretations and methodology for tracing a pivot stylus over an LP. Saying that, I'll keep reading this thread and to see at what you arrive. (-: