Has the great ballerina Tamara Rojo ever done a more nerveracking performance than she did last night in Milton Keynes? On her first night as player-manager of English National Ballet, both its new artistic director and its chief ballerina, she had to inhabit the skin of a dewy 16-year-old discovering the world - all the while watching the stage with the steel gaze of a boss to see if her employees were doing their job to standard.

The Royal Ballet’s autumn season began on Monday, but this was the eagerly awaited Swan Lake. Natalia Osipova, ex-Bolshoi, now principal with American Ballet Theater and the Mikhailovsky in St Petersburg, was making her debut as a guest with the Royal Ballet, partnered by Carlos Acosta.

For Darcey Bussell it’s Baryshnikov in The Turning Point; for Carlos Acosta it’s The Red Shoes. No one at last week's starry premiere of Love Tomorrow at the Raindance Film Festival, when I asked them for their favourite dance film, mentioned Black Swan. Films about the ballet life are rareties - are the memorable ones those that are realistic about their strenuous world or are they the expressionistic shockers that let rip with the curtains and OTT fantasies?

I’ve seen Akram Khan’s Desh twice. The first time I sat in my favourite spot – the front row – close enough to smell the sweat drenching his shirt as the demanding physicality of this ambitious solo work became evident. But I could also see him apparently lip syncing to recordings of his own voice and, despite the potency of his close physical presence, this created a profound sense of disjunction, as though he were emotionally disengaged from the recollections and stories being told. 

It's been eight years since San Francisco Ballet were last here, charming us with their finesse and their smiles - welcome back. They offer a boost of spirit to the gloomsters of ballet over here. This small city which punches many times above its weight in the cultural world owes a vast amount of its self-confidence and charisma to its mixed ethnic roots, so the range of dancers from the Far East via North Europe and the Latino Americas is representative.

You now have two choices when you roll down to the bottom of the Turbine Hall's slope.

The bells ring out for creativity in the Royal Ballet’s final production under its outgoing director, Monica Mason, and the ambition at least of the enterprise is hugely to be cheered, even if asking seven choreographers to work together is on a hiding to nothing.

Sound the trumpets triumphantly - Matthew Bourne’s most original masterpiece has come out of hiding into full view, a giddy, sexy, diabolical confection that hovers on the edge of hellish, and deserves to become a global smash. Play Without Words is everything that any sex comedy could aspire to, everything that a film noir could aim for, and much more dangerous than either theatre or film can be, because it’s what bodies do, not what mouths say, that is leading you into your own sinful nature.

Stonehenge, the monumental mystery of Britain’s past, decked out like a laundry yard with drying white vests and flowerpots scattered among its gigantic monoliths. It makes a most disconcerting image, and it is the precursive tableau that the public should not miss if they make the trek out to Salisbury Plain tonight or tomorrow for one of the Cultural Olympiad’s stranger installations. Get there before it all starts.

Let us conclude, after London’s season of World Cities - 10 dance shows - that Pina Bausch was not a choreographer. She began 50 years ago in Essen as a ballet dancer and like so many dancers in that field got bored with the rules. When she took over ballet in Wuppertal in 1973, she clearly had rule-breaking in mind but also had something inside her head very different from what one might identify as the geometry of dance.