Playing that exudes a real joie de vivre, compositions that unfailingly get the synapses firing, fearless soloing, and a textural density and rhythmic punch that deliver a powerful emotional jolt. It's rare to hear music-making of this calibre, which is why this final piece of the magisterial Loose Tubes triptych – following Dancing on Frith Street (2010) and Säd Afrika (2012) from the same valedictory residency at Ronnie Scott's in September 1990 – is to be given the warmest of welcomes.

Freedom Festival, a new event curated by vibes player and electronicist Orphy Robinson and vocalist Cleveland Watkiss, is all about bringing improvised music out of the shadows and into the limelight. All the same, it felt strange going to the Vortex in broad daylight. Gigs here don’t usually get started much before 9 pm (I’d always assumed that improvising musicians only came out at night), and darkness seems to lend itself to the free jazz atmosphere.

With slowly chiming piano chords, an impossibly high sustained note on the accordion, and a melody of the utmost loveliness on alto clarinet, the achingly beautiful “Walking by Flashpoint”, the opening track of The Thompson Fields, welcomes you into a sound-world of rare eloquence.

While much of Hexadic is a blast, the first album from Six Organs of Admittance since 2012’s Ascent offers much that’s familiar: the snail’s pace heaviosity and shifts between bone-crushing density and desiccated sparseness of Dylan Carlson’s Earth, spaghetti-western guitar interludes (also favoured by Carlson), an approach to malformed riffing and guitar mangling blending Bad Moon Rising-era Sonic Youth, Harry Pussy and early Pussy Galore.

Ever wondered what being a psychic would be like? Not the "being a fraudulent, cheap-trick magician drunk on the mere suggestion of power over a willing and eager mark" thing – but really being able to know people’s thoughts as they think them. In reality, hearing the insipid mind-screams of strangers would be spirit-crushingly dull, like watching Question Time without the mute button, but there is a less prosaic window into the mind that music offers us – improvisation.

French actress Marie Rivière had a specially close relationship with director Eric Rohmer. After seeing his work for the first time in the early 1970s, Rivière expressed her admiration in a letter, which led to a succession of parts and culminated with her appearing as heroine Delphine in Rohmer’s 1986 The Green Ray (Le rayon vert): the part was in some way centred on the experiences of the actress, who was allowed to develop the story through almost total improvisation.

It's day five of the EFG London Jazz Festival, and Snarky Puppy's show at the Roundhouse has sold out weeks in advance. And, as the crowd sings the gorgeous main theme of “Thing of Gold” in perfect unison, one of the reasons for the band's huge success becomes apparent. Yes, there's brilliant musicianship, spirited improv, blazing energy and the kind of impressively vast textures that only a band this size can achieve. But there's something else, which trumps all of these things. There's melody.

Initiated in the latter part of 2011 by Jazz Warrior and multi-instrumentalist Orphy Robinson and pianist/sound sculptor Pat Thomas, I saw the shape-shifting ensemble Black Top play an incredible gig as a sextet at its spiritual home, Café Oto, as part of the 2012 London Jazz Festival. It was my favourite performance of that year's edition, by a country mile.

The third Emulsion Festival, curated jointly this year by Trish Clowes and Luke Styles, turned out to be more of a collage of original colours, when the second day of programming concluded at Village Underground last night. Yet the varieties of performance all shared a commitment to novel combinations of sound, technique and feeling, and drew collectively on inspiration from Rihanna’s “Only Girl in the World” to the classical chamber ensemble to create an absorbing spectacle of multi-genre music that was both emotionally and technically compelling.  

Crazed magnificence, off the cuff improv, pinpoint timing. And that was just MC and trombonist Ashley Slater's on-stage banter. In one of the most hotly anticipated jazz gigs of 2014, the return to the Ronnie Scott's stage for the seminal and utterly singular big band Loose Tubes – almost a quarter of a century after their valedictory residency in September 1990 – surpassed all expectations.