Squeezing nearly 300 events into the 10-day dash that is the London Jazz Festival, which has just ended required dozens of venues – many not regular presenters of jazz – to open their doors. From the 606 Club in the west to Oliver’s Bar in Greenwich in the east, the Finchley Arts Depot in the north to the Hideaway down south in Streatham, it is in the pubs, clubs and community venues of London that the jazz festival’s heart beats.

Just occasionally an artist hits the truth of the song in such spectacular fashion that it makes you feel with ever greater intensity what it means to be human. Last night, vocalist Sheila Jordan's performance of the Jimmy Webb standard, “The Moon is a Harsh Mistress”, a song she recorded on her 1999 album Jazz Child, achieved exactly that: a shatteringly personal account, bookended by an improvisation on a native American theme, both the pathos and power of the song were extraordinary. I'm sure I wasn't the only one who was wiping away tears.

At the beginning of last night's show, Herbie Hancock looked like he was going to perform with the dignity and serenity befitting a 72-year-old with some 50 years playing experience. The improvisation that launched from a base of Wayne Shorter's “Footprints” was elegant, charming, tasteful and often very beautiful. The synthetic instrumental loops that he triggered via a couple of iPads mounted on his grand piano as backing were unobtrusive to begin with and had a delightfully loose groove.

For the way it combined mercurial, on-the-fly interplay, seismic textural shifts and listening of the highest order, this gig was remarkable. In the space of two continuous sets there wasn't a longueur to be found, such was the incredible union of Black Top #5's boundary-pushing improv and fine-tuned musicianship.

Saxophonist Steve Williamson, trumpeter Byron Wallen and vocalist Cleveland Watkiss joined Black Top founders, pianist Pat Thomas and vibist/sampler Orphy Robinson, to explore the intersection of live instruments and the technology of dub, reggae and dance floor.

Bill Withers: The Complete Sussex and Columbia Albums

Kieron Tyler

It's sad, isn't it, that we still live in a world where the more something sounds like a great party, the less “serious” it is considered? Think about how much deep meaning is attached by how many to, say, the portentous mitherings of Thom Yorke, then try to imagine that degree of beard-rubbing analysis being given over to this non-stop blast of joyous grooves that have rocked festival stages, dance clubs and hip hop shows over the summer. Not gonna happen, is it?

Tigran Hamasyan is a brilliant jazz pianist who is clearly on the rise – for one thing, like many a star before him, he has dropped his surname, and is now, according to his latest record The Fable, simply Tigran. When I meet him in London, he tells me one reason he became addicted to the acoustic piano as a child was that there were so many blackouts in his native Gyumri in Armenia, and it was something he could play by candlelight. When he was 18 months old, in December 1988, there was a terrible earthquake in the region.

Herbie Hancock has never stood still. He hit the ground running, joining Miles Davis's second great quintet on piano in 1963 at the age of just 23, and from that moment on demonstrated a Stakhanovite work ethic and appetite for the new which saw him on the crest of wave after wave of revolutionary music.

Ennio Morricone: In Colour

Kieron Tyler

Jazz pianist and singer Diana Krall has won two Grammys and sold more than 15 million albums worldwide. Born in 1964 in Nanaimo, British Columbia, Canada, she attended Berklee College of Music in the early 1980s and had her major breakthrough with the 1995 album, All for You: A Dedication to the Nat King Cole Trio. Produced by T Bone Burnett and featuring Marc Ribot on guitar (and a cameo from Howard Coward, a.k.a.