The next few days see, among other things, a Bach-jazz mashup, a new septet, and the chance to see one of the UK’s leading young players for nothing.

New York pianist Dan Tepfer – a regular musical partner of Lee Konitz’s – makes a couple of appearance as part of Glasgow Concert Halls’ “Piano” season. On Tuesday night (the 20th) he’s playing solo, performing what he calls the Goldberg Variations Variations. The original Goldberg Variations consist of 31 short keyboard pieces by Bach, an aria followed by 30 variations on it. Tepfer will be expanding this by playing the Bach, then after each of the sections adding his own improvised variation on it. Since Bach himself was a famed improviser, this isn’t as strange an idea as it might first seem. On Wednesday, he’s playing a more conventional trio set with bass player Joe Sanders and drummer Ted Poor. Both concerts are in the City Halls Recital Room, start at 8pm and cost £10.

Also on Tuesday, Slouch Jazz, who’ve been putting on a lot of interesting informal gigs mainly featuring young local talent, have a real scoop: an appearance by pianist Kit Downes, playing in a trio with local stalwarts Euan Burton and John Lowrie. Slouch Bar is at 203 Bath Street. Doors open at 9pm (although the main bar is open before then) and if it follows the usual pattern, the band will be on about 10. Admission is free. Yep, free.

On Thursday night, a couple of blocks nearer the city centre, Bridge Music have their regular gig at Glasgow Art Club. This time round, it’s the turn of bassist Brodie Jarvie’s new septet, a three-sax ensemble, with Adam Jackson (alto sax), Michael Butcher (soprano sax), Brian Molley (tenor sax), Davie Dunsmuir (guitar), Pete Johnstone (piano) and Neil Paton (drums). They’ll be playing a set of Jarvie’s compositions, and it will be interesting to hear what he can do with a band slightly larger than the ones we normally hear performing contemporary music. The concert starts at 8pm and admission is £6 (£5 concessions).

There are also a couple of decent things to watch out for at the weekend, most notably Liane Carroll playing the opening gig in a new series of concerts in Renfrewshire. More on that soon.