Jamie Cullum's sixth studio album is about as good a pop record as you'll hear all year. Newly signed to Island Records, the singer-songwriter has seemingly raided ideas from the entire history of pop music, such that low-fi vintage synth lines and jazzy piano breaks rub shoulders with heart-on-sleeve soul belters and subtle electronica. The kind of stylistic pluralism that directly reflects Cullum's own musical loves, in other words.

Cheltenham is the Dubai of the Cotswolds: a modestly populated town of 100,000 with sufficient wealth and influence to attract disproportionately lavish art and sport to its genteel Georgian streets every summer. Its jazz festival, in its 18^th year, has the added advantage of a founder (Jim Smith) and artistic director (Tony Dudley-Evans) with real love and commitment for the music.

Born just a year apart in the 1950s and having both clocked up almost 40 years' work in their respective scenes, it's surprising that it's taken quite so long for fellow trailblazers Pat Metheny and John Zorn to work together. It's certainly been worth the wait, as this collection is a real barn-burner.

Jazzfest has managed to succeed as a mainstream rock festival. The first weekend’s headliners on the main Acura Stage included John Mayer, Billy Joel and Dave Matthews, while this weekend promises Fleetwood Mac, Maroon 5 and The Black Keys. If the aforementioned suggest a festival devoted to AOR chart-topping US rock, then understand that the festival’s organisers allow the superstars to drag in suburban rock fans, thus underwriting the rich regional music flavours that dominate most of the other 11 stages.

Some vocal jazz can be so anodyne that it barely registers on your consciousness, as anyone who's ever heard a jazz wannabe dusting down “My Funny Valentine” will know. A Liane Carroll gig, on the other hand, offers a roller coaster ride of emotions: joy, pain, hope, loss. With the ability to make every song sound like a personal experience, Carroll is one of the few singers who can make your spine tingle for an entire set.

The CD booklet note by NASA astrobiologist Daniella Scalice is just the first of many striking features on this third Basho CD by the Mercury Prize-nominated pianist Kit Downes. Joined by his core trio of bassist Calum Gourlay and drummer James Maddren (both fellow alumni of the Royal Academy of Music), plus reeds player James Allsopp and cellist Lucy Railton, Light From Old Stars sees Downes really getting into his compositional stride.

Art Ensemble of Chicago: A Jackson in Your House/Message to Our Folks/Reese and the Smooth Ones

OK, so you've given your copies of Rod's It Had To Be You and Robbie's Swing When You're Winning a few listens (released many, many years ago, the latter is still top of the iTunes jazz albums chart in a gazillion countries). You've memorised the words and now you quite fancy giving “Summertime” a bit of a go. A touch of rubato here, a judicious tweak of the melody line there and, hey, you're singing jazz! Er, not quite.

Any conductor who ends a concert with only one leg on the ground, as if engaged in the Highland fling, is either a little fanciful or has been utterly carried away. In Keith Lockhart’s case last night, it was probably a bit of both. No-one can take charge of Duke Ellington’s big band tone poem Harlem by impersonating a lamp-post, especially at its roaring end, the epitome of jubilation in sound. But the BBC Concert Orchestra’s transatlantic Principal Conductor is also a conscious showman. Sometimes his hands trace such sensuous curves that you feel he’s stroking a Ming vase.

Suddenly, it's raining Duke Ellington homages. Stateside, there's Terri Lyne Carrington's Money Jungle: Provocative in Blue, a brilliant reimagining of Ellington's classic 1963 trio recording with Charles Mingus and Max Roach that recently hit the top spot on the JazzWeek radio chart. Here in the UK, the Scottish National Jazz Orchestra's latest release In the Spirit of Duke – recorded on tour during October 2012 – features an all-Duke programme which captures the Ellington Orchestra sound down to the tiniest detail.