This is, not to put too fine a point on it, a masterpiece – but it could easily have been a bloody mess.

The Human League are one of the brightest lights in the history of electropop. They have had many incarnations over the years but since late 1980 the core of the group has been frontman Philip Oakey (b 1955) and singers Joanne Catherall (b 1962) and Susan Sulley (b 1963). The group bloomed out of Sheffield's electronic underground in the late Seventies, releasing the seminal electropop single "Being Boiled" in 1978. They signed to Virgin but success was not quick in coming and by 1980, with two albums under their belt, they split. Synthesiser wizards Martyn Ware and Ian Craig Marsh went on to form Heaven 17 but singer Oakey retained the band name.

The Human League are one of the brightest lights in the history of electropop. They have had many incarnations over the years but since late 1980 the core of the group has been frontman Philip Oakey (b 1955) and singers Joanne Catherall (b 1962) and Susan Sulley (b 1963). The group bloomed out of Sheffield's electronic underground in the late Seventies, releasing the seminal electropop single "Being Boiled" in 1978. They signed to Virgin but success was not quick in coming and by 1980, with two albums under their belt, they split. Synthesiser wizards Martyn Ware and Ian Craig Marsh went on to form Heaven 17 but singer Oakey retained the band name.

Let's get the obvious out of the way: yes, this is incredible. Not just the sounds, nor the ambitious staging of Hans Christian Andersen's last story as a ballet, but the fact that, 30 years since they met, Neil Tennant and Chris Lowe are still making music that's both relevant and gloriously excessive to a frankly crackerdog mental degree. They've tinkered with classical themes before, of course, from setting “Che Guevara and Debussy to a disco beat” in 1988's “Left to My Own Devices” to their 2004 live soundtrack to Battleship Potemkin, but this is something else. Piling on romantic themes and electronic beats of various flavours, it leaves no stone unturned in finding the most over-the-top fairytale themes, then ornamenting them and ornamenting the ornamentation of the ornaments until the whole thing is a kaleidoscope of whirling, twirling synaesthesic madness.

Cologne label Kompakt has been home to a plethora of very fine electronic dance music over the last decade. They also occasionally develop acts, as in proper bands rather than professorial Teutonic sorts standing behind laptops with intense, funereal expressions, pale-lit by console glow. Los Angeles couple Danny and Tiffany Preston don't look professorial. In the only publicity shots I've seen they traipse through the desert dressed in Arab garb, carrying synthesisers and machine guns. It's a good look and bodes well.

Halfway through last night’s show, as songs segued and smooshed into each other, it became clear that Robyn has perfected a high-concept pop that’s impossible to place geographically. She might be Swedish, but bloopy Chicago house, Euro electro and synthetic Japanese new wave are in the mix. A human blender, she’s at a peak – visibly fizzing.

Two lots of abiding electropop royalty, classicist Slovenian techno, an indie band who play electronica, a hyper-synthetic R&B superstar, Irish-Mancunian disco-boogie, "buzzsaw fuzz" meets Phil Spector, Paris-Bordeaux-Alabama-Berlin rock chaos, Welsh psychdelic dreams, a post-dubstep crooner and a novelty song about Gillian McKeith - (almost) all human life is here in Thomas H Green and Joe Muggs's round-up of tracks of interest out to buy now.

Heaven 17 are an underrated group. Sidelined by electro-pop festishists and too egg-headedly wordy to be embraced by Eighties kitsch afficionados, they're easily best known for their 1983 hit "Temptation". Last night they played this late in their set - of course - but before the encore. Not the recognisable single, mind, but a percussive work-out redolent of pumping Italo-house.

Luxembourg's musical landscape has few claims to represent the Grand Duchy itself. Most of Luxembourg's Eurovision entries weren't actually from the Duchy, as there was little local music to draw on. So Belgium's cod punk-gone-blando Plastic Bertrand became 1987's entry (with “Amour, Amour”). In 1965 Luxembourg won Eurovision with France's France Gall's “Poupée de Cire, Poupée de Son”, a song written by her countryman Serge Gainsbourg.

Unlikely cool. It’s what unites LCD Soundsystem and Hot Chip. They’re the geeks and outsiders who made it to being hip on the dancefloor. These improbable, subversive electro-pop heroes have united this autumn for what for fans has been a dream double-headline tour. Both bands have had albums out this year and both albums have been well received. But for James Murphy the rumours are that this may be the last tour he does as LCD Soundsystem. And last night he sure was playing as if saying a long goodbye to the ones he’d loved.

Andy McCluskey (b 1959) is singer and frontman of Orchestral Manoeuvres in the Dark, one of the most successful groups of the late Seventies and early Eighties electro-pop boom. They reformed five years ago but have been in no rush to dive into things, finally releasing a new album, History of Modern, this autumn.