Edinburgh’s hotel scene has been a slow burn. Long-standing staples have secured the Scottish capital’s place on the hospitality map, setting a tone that’s both old-world and wonderfully warm. These classic stays have always matched the Scottish capital’s more measured, thoughtful rhythm—grand yet accessible, historic but deeply hospitable. Recently, a new wave of openings and renovations has joined them, in step with Scotland’s creative pull. Chefs, makers, and artists have been moving in, opening craft bakeries, destination restaurants, and shop-meets-galleries in fast-rising neighborhoods—and the hotels, well, they’re responding.…