This from the Lyon Office website:
The Public Register is open to personal inspection in the Court of the Lord Lyon, HM New Register House, Edinburgh, EH1 3YT.
A search fee is charged for each entry inspected.
The office is open to the public from Monday to Friday between 10am and 12.30 pm and between 2 pm and 4 pm.
The Index and Entries in the Public Register of All Arms and Bearings in Scotland, from 1672 up to about 100 years ago, may also be viewed on the ScotlandsPeople website. While searching the Index is free of charge, there is a fee to view the image for each entry.
The ScotlandsPeople site is
http://www.scotlandspeople.gov.uk and the fee for Lyon Register is £10 per document viewed.
Much of the Canadian register is also online, free, at
http://archive.gg.ca/heraldry/pub-reg/main.aspOn the question of letters patent vs. letters close, I believe York is mistaken about the "destroy after reading" nature of letters close. The seal would of course be destroyed in opening the document, but since the purpose of letters close was often to confer some privilege or give authority for carrying out some action, destroying the document would be destroying one's proof of entitlement.
As to LPs, it seems to me that who is entitled to see them is defined in the salutation. English grants of arms begin with "To all and singular to whom these presents shall come," which is just about the most public formulation imaginable. If the document is intended only for the eyes of the grantee and those with whom he chose to share it, I would expect a salutation more along the lines of "To all whom these presents do or may concern," or even "To John Dexter Doe, Esquire" by name.