The meaning in Scotland is wider than England and Wales. I don't think most farmland is included south of the border.
Yes , as I alluded to above , here in Scotland one can roam pretty much wherever one likes , with only a few specific exceptions . ( The OP didn't state where he was ) .
A summary of your access rights
1. Everyone, whatever their age or ability, has access rights established by the Land
Reform (Scotland) Act 2003. You only have access rights if you exercise them
2. You can exercise these rights, provided you do so responsibly, over most land and
inland water in Scotland, including mountains, moorland, woods and forests, grassland,
margins of fields in which crops are growing, paths and tracks, rivers and lochs, the
coast and most parks and open spaces. Access rights can be exercised at any time of
the day or night.
3. You can exercise access rights for recreational purposes (such as pastimes, family
and social activities, and more active pursuits like horse riding, cycling, wild camping and
taking part in events), educational purposes (concerned with furthering a person’s
understanding of the natural and cultural heritage), some commercial purposes (where
the activities are the same as those done by the general public) and for crossing over
land or water.
4. Existing rights, including public rights of way and navigation, and existing rights on
the foreshore, continue.
5. The main places where access rights do not apply are:
houses and gardens, and non-residential buildings and associated land;
land in which crops are growing;
land next to a school and used by the school;
sports or playing fields when these are in use and where the exercise of access
rights would interfere with such use;
land developed and in use for recreation and where the exercise of access rights
would interfere with such use;
golf courses (but you can cross a golf course provided you don’t interfere with any
games of golf);
places like airfields, railways, telecommunication sites, military bases and
installations, working quarries and construction sites; and
visitor attractions or other places which charge for entry.
6. Local authorities can formally exempt land from access rights for short periods. Local
authorities and some other public bodies can introduce byelaws.
7. Access rights do not extend to:
being on or crossing land for the purpose of doing anything which is an offence, such
as theft, breach of the peace, nuisance, poaching, allowing a dog to worry livestock,
dropping litter, polluting water or disturbing certain wild birds, animals and plants;
hunting, shooting or fishing;
any form of motorised recreation or passage (except by people with a disability using
a vehicle or vessel adapted for their use);
anyone responsible for a dog which is not under proper control; or to
anyone taking away anything from the land for a commercial purpose.
8. Statutory access rights do not extend to some places or to some activities that the
public have enjoyed on a customary basis, often over a long period of time. Such
access is not affected by the Land Reform (Scotland) Act 2003 and will continue.http://www.snh.org.uk/pdfs/access/approvedcode0506...
And for more detail , see the full Acthttp://www.legislation.gov.uk/asp/2003/2/contents