In the UK copyright law was amended in 2014, in Statutory Instrument SI2014/2361 "COPYRIGHT: RIGHTS IN PERFORMANCES: The Copyright and Rights in Performances (Personal Copies for Private Use) Regulations 2014" to say:
The making of a copy of a work, other than a computer program, by an individual
does not infringe copyright in the work provided that the copy—
(a) is a copy of—
(i) the individual’s own copy of the work, or
(ii) a personal copy of the work made by the individual,
(b) is made for the individual’s private use, and
(c) is made for ends which are neither directly nor indirectly commercial.
A link to the legislation is below so you can see the full text:http://www.legislation.gov.uk/uksi/2014/2361/pdfs/uksi_20142361_en.pdf
and the original Act of Parliament it affects (the Copyright & Patents Act, 1988): http://www.legislation.gov.uk/ukpga/1988/48/enacted
This legislation came into force on 1 October 2014. It isn't a fascinating read, but does clarify the situation for UK residents. It should be noted that this right to copy applies to UK residents regardless of whether the copyright holder is based in the UK or not. As usual, the title (mentioning 'Performances') is entirely misleading & maintains Westminster's position as the most obtuse and confusing legislature on the planet.