I started my exploration on the main island of Madeira. This is part of the same volcanic chain as Porto Santo, and certainly feels topographically adventurous.
Its vertical cliffs and gullies were immediately evident on the short drive from the airport into capital Funchal. There was barely enough flat space for a bowling alley, the land erupting from the sea with dramatic fervour and scant regard for coastal niceties such as promenades and beaches.
That evening, as I sat on a terrace sipping rum-and-honey ponchas, I gazed at the city lights pitching down the hillside. I rather fancied a few days of hiking in the wild interior, but my date with Madeira's sandier little sister couldn't wait.
Sailing out of Funchal at first light, I stood on the deck as the ship curled east, around the rugged Ponta de Sao Lourenco peninsula as it trailed off Madeira like a dinosaur's tail.
It's not uncommon to see species such as sperm whales or bottlenose dolphins on this two-and-a-half-hour inter-island journey, but I wasn't in luck. Instead I watched as squadrons of red-blue flying fish burst out of the waves.
Approaching Porto Santo by boat, you get a good sense of the place: the way it's bookended by knobbled peaks, the highest looming in the north, and descending to a central saddle and the lovely long south-coast beach.
The main "town", Vila Baleira, is the biggest hub behind the sand; otherwise there's an appealing lack of development, especially at the island's southern tip.
Soon (nothing's far in Porto Santo) I'd left the docks, passed through Vila Baleira, and was ensconced in my comfortable hotel, planning the first adventure. This came courtesy of Andre, who relished in off-roading a 4x4 around the island's highlights.
First he drove up to Miradouro das Flores, a lookout conspicuously lacking in namesake flowers, but with fine views over to the islet of Ilheu de Baixo ou da Cal (Lime Island), where locals once excavated the dangerous cliffsides.
We carried on, past the Seve Ballesteros golf course - an incongruously vibrant green - to the basalt columns of Ana Ferreira peak and the sea stack that looks like King Kong.
"Look right," Andre instructed at a turn in the road.
"There's nothing there, but it's better than what's on the left!"
The desalination plant is not a must-see.
There are, in truth, few major sights on Porto Santo - though the hillier north-east, bevelled into conical peaks reaching up to 516m, is wilder. But Andre's commentary added charm, and in just a few hours I'd had an excellent overview.
Next, I was going to investigate at a gentler pace. I hired a bicycle and pedalled down to Ponta da Calheta, the south-west tip of the island. Here, a weathered cliff and boulders smooth as bones put an abrupt end to the seemingly endless stretch of beach.
Terns paddled in the rock pools, alongside a Portuguese Adonis, tensing his abs to impress his girlfriend. They were the only others around.
The whole of Porto Santo's sand strip (reputedly rich in minerals that are good for rheumatism) was uncrowded. Down at Calheta, where there are no resorts, just a beach bar and a ripple of dunes, it felt positively deserted.
"We used to swim from Calheta to Lime Island, to collect crabs," my guide Idalino told me the next day as we drove up to Pico Castelo.
The slopes of this 437m peak once boasted 12 cannons, mounted in the 17th century to defend against marauding Spaniards. Now, just one heavy gun remains; fortifications have been replaced by flora.
We hiked up through pine trees, tentacled aloe vera and prickly pear cacti to a hut, where a caretaker was weeding and sweeping.
As we walked, Idalino talked.
"We need to be more self-sustaining," he lamented.
"People used to grow crops, keep chickens; now everything is imported."
As we continued up Castelo and on around Pico do Facho (Beacon Peak, the island's highest), we saw the remains of what used to be agricultural terraces; a few cherry tomato plants poked through the soil.
"The rabbits don't like them," he explained.
No one else was out walking - most people come to Porto Santo for the beach. From our vantage we could look across that lovely strand, over the terracotta rooftops of Vila Baleira, and also into the rugged valleys and geological folds of the north, where streams sneaked down to tiny pebbled coves, where a little tavern offered wine-tasting.
Off the distant west coast sat Ilheu de Ferro - Iron Island.
"There's a blowhole in the rock," Idalino explained, "but my mother used to tell me the sea spray was smoke from the fire of an old lady, baking bread for her many children."
The talk of freshly baked bread was making me hungry, so we headed for Pe na Agua ('Feet on the Water'), a chic shack-cum-restaurant on the sandy southern beach, and favoured spot of Ronaldo when he's in town. Happily, its delicious caldeira de peixe (fish soup) doesn't require a footballer's wage.
On my final evening I wandered down to the sea. Porto Santo looks prettiest at night, a twinkle of lights adrift in the Atlantic.
I dug my feet into the therapeutic sand and smiled.
Columbus and Cristiano might just be on to something here.
Further information: See visitmadeira.pt.
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