All services should now be available again.
A fault with our primary authoritative DNS server (causing our primary and most of our secondary DNS servers to be unable to serve our DNS zones) has been rectified. Most of our authoritative DNS servers are now operational. Two third-party secondary servers are not, due to a possible configuration issue, and we have contacted the operator - though we suspect that this may resolve itself within an hour. However we have sufficient DNS servers that this partial outage should not cause any noticeable problems.