Day 1 Rosyth, Scotland

Edinburgh is to London as poetry is to prose, as Charlotte Brontë once wrote. One of the world's stateliest cities and proudest capitals, it's built—like Rome—on seven hills, making it a striking backdrop for the ancient pageant of history. In a skyline of sheer drama, Edinburgh Castle watches over the capitalcity, frowning down on Princes Street's glamour and glitz. But despite its rich past, the city's famous festivals, excellent museums and galleries, as well as the modern Scottish Parliament, are reminders that Edinburgh has its feet firmly in the 21st century. Nearly everywhere in Edinburgh (the burgh is always pronounced burra in Scotland) there are spectacular buildings, whose Doric, Ionic, and Corinthian pillars add touches of neoclassical grandeur to the largely Presbyterian backdrop. Large gardens are a strong feature of central Edinburgh, where the city council is one of the most stridently conservationist in Europe. Arthur's Seat, a mountain of bright green and yellow furze, rears up behind the spires of the Old Town. This child-size mountain jutting 822 feet above its surroundings has steep slopes and little crags, like a miniature Highlands set down in the middle of the busy city. Appropriately, these theatrical elements match Edinburgh's character—after all, the city has been a stage that has seen its fair share of romance, violence, tragedy, and triumph. Modern Edinburgh has become a cultural capital, staging the Edinburgh International Festival and the Fringe Festival in every possible venue each August. The stunning Museum of Scotland complements the city's wealth of galleries and artsy hangouts. Add Edinburgh's growing reputation for food and nightlife and you have one of the world's most beguiling cities. Today the city is the second most important financial center in the United Kingdom, and the fifth most important in Europe. The city regularly is ranked near the top in quality-of-life surveys. Accordingly, New Town apartments on fashionable streets sell for considerable sums. In some senses the city is showy and materialistic, but Edinburgh still supports learned societies, some of which have their roots in the Scottish Enlightenment. The Royal Society of Edinburgh, for example, established in 1783 "for the advancement of learning and useful knowledge," remains an important forum for interdisciplinary activities. Even as Edinburgh moves through the 21st century, its tall guardian castle remains the focal point of the city and its venerable history. Take time to explore the streets—peopled by the spirits of Mary, Queen of Scots; Sir Walter Scott; and Robert Louis Stevenson—and pay your respects to the world's best-loved terrier, Greyfriars Bobby. In the evenings you can enjoy candlelit restaurants or a folk ceilidh (pronounced kay-lee, a traditional Scottish dance with music), though you should remember that you haven't earned your porridge until you've climbed Arthur's Seat. Should you wander around a corner, say, on George Street, you might see not an endless cityscape, but blue sea and a patchwork of fields. This is the county of Fife, beyond the inlet of the North Sea called the Firth of Forth—a reminder, like the mountains to the northwest that can be glimpsed from Edinburgh's highest points, that the rest of Scotland lies within easy reach.

Day 2 Stromness, Orkney Islands, Scotland

Day 3 Scrabster, Scotland

Day 5 Trondheim, Norway

One of Scandinavia's oldest cities, Trondheim was the first capital of Norway, from AD 997 to 1380. Founded in 997 by Viking king Olav Tryggvason, it was first named Nidaros (still the name of the cathedral), a composite word referring to the city's location at the mouth of the Nidelva River. Today, it's Central Norway's largest (and Norway's third largest) city, with a population of 150,000. The wide streets of the historic city center remain lined with brightly painted wood houses and striking warehouses. But it's no historic relic: it's also the home to NTNU (Norwegian University of Science and Technology) and is Norway's technological capital.

Day 6 Brønnøysund, Norway

Sitting just below the Arctic Circle, a visit to Bronnoysund guarantees a journey of culture and extraordinary scenery. Bronnoysund is quintessential Norway, and encompasses everything you'd expect from this stunning country - along with plenty of surprises along the way. Raking fjords, scattered islands, and roaring rivers provide a huge natural bounty - but it's the Torghatten Mountain that's Bronnoysund's true crowning glory. Torghatten Mountain rises like a colossal castle of sheer granite, and is particularly striking because it's punctured right through the centre by a giant hole. Line up the view just right, and you can see sunlight bursting through the hole, as if illuminated by a massive spotlight. It's hard to imagine how such a striking phenomenon would form naturally, and indeed the local folklore has a persuasive explanation – that it was created when an arrow ripped through the troll king's hat, which was thrown into the air to protect a fleeing girl. The hat turned to stone, and the arrow's hole is preserved there to this day. If you care to climb Torghatten Mountain, you can walk through its cavernous interior, to look down over the red wooden barns and glistening lakes below.

Day 7 Reine, Lofoten Archipelago, Norway

Lofoten Islands are considered to be in “another world” and for good reason. The archipelago with its jagged coastline is a majestic setting of high alpine summits, sandy beaches, green prairies and spectacular fjords. Many of the fjords are UNESCO listed, so whichever you manage to see will be a treat.Reine is a picture-perfect village surrounded by blue waters, lush greenery and speckled colour from the fishermen's cottages. Enjoy hiking, whale-watching and birdwatching from this idyllic setting.

Day 8 Svolvær, Norway

Day 9 Harstad, Norway

Day 10 Tromsø, Norway

With its centre located on the island of Tromsø, the municipality of Tromsø is more than five times the size of Norway's capital, Oslo, and is the world's northernmost university city. Lying 200 miles inside the Arctic Circle, it is known as the 'Gateway to the Arctic' because it was used as a starting point for hunters looking for Arctic foxes, polar bears and seals. In the 19th century it was a base for explorers on Arctic expeditions – a history that is remembered in the city's Polar Museum, which you can visit on an excursion. Also commemorated in the area is the history of Norway's indigenous people, the Sami. Visitors can learn about the traditions, heritage and modern preservation of the Sami culture at the Tromsø Museum. Nowadays, Tromsø is a charming mix of old and new, with wooden buildings sitting alongside contemporary architecture such as the impressive glacier-like Arctic Cathedral, which features one of the largest stained glass windows in Europe. Looking down on the city is Mount Storsteinen, and a cable car runs to the top, giving wonderful views over the surrounding countryside of forested peaks and reindeer pastures.