HAAi is at her happiest playing in small rooms. “I was playing to 30 or 40 people in a tiny basement underneath a hairdressing salon,” she reminisces.

“It was for Record Store Day, and I think it was my favourite gig I’ve ever played. I was playing after Jasper James, and I had my residency at Phonox later that night. But that was the tiniest room I’d played to, and it was just the best vibe.

“Both [small shows and big shows] have their advantages, but a small show takes away all the bells and whistles that a big club or a festival has.

"All we had was a light hanging from the roof – then somebody found the dimmer switch and they were turning it on and off. With smaller rooms, you’re really relying on being in it with everyone, which I love.”

It’s a preference that will serve the Australian-born DJ Teneil Throssle, who performs as HAAi, well in Glasgow tomorrow night, when she headlines at The Berkeley Suite.

An artist of phenomenally diverse tastes, she specialises in Turkish psych and African records that she mixes with house, acid and techno. The North Street club is a dimly-lit, intimate space that’s perfectly suited to HAAi’s vibe, even if it is a little more upscale than a dungeon underneath a barber’s would tend to be.

HAAi (it’s pronounced “hi” and it’s the Dutch word for “shark,” by the way)’s own brand of slow-burning, immersive electronica rewards investment and a bit of concentration: this is music that’s best when you lose yourself in it for periods of time.

Her absorbing style works wonders during her all-night sets at Brixton’s Phonox, where she’s now a resident. But Glasgow’s arcane licensing laws, where clubs can’t stay open past 3am, have created a peculiar culture: one where DJs are aware they have to play curtailed sets brimming with bangers, lest punters get bored and go elsewhere.

It makes it harder to take an audience on an extended trip, but HAAi is unfazed about this barrier to her normal way of working. “I think that you can still apply the same kind of technique [to a shortened DJ set], but you have to be a little more concise in your mixing,” she says.

“I guess the difference between playing a six-hour set and [a shorter one] is that the long ones take you on a real journey, whereas with the others I’ll think about it a little more before I play. If you want your set to be really entertaining and dynamic, you’ve got to get to the point a little bit quicker.”

Her latest release is Be Good, a six-minute trip that fuses dark, droning synth bass with Middle Eastern-inflected melodies. A quite perfect vocal from Throssle herself – she used to be lead singer and guitarist for psych rockers Dark Bells – kicks in around the halfway mark, elevating the track to a level of bewitching brilliance that is properly rare.

It’s only the third song she’s released as HAAi, but a theme is already developing in her work. “I think [my time in Dark Bells] influences the music I’m making now more than I even think about,” she says. “We were heavily influenced by Anatolian music (a psychedelic fusion of traditional Turkish music and rock that emerged in the late ‘60s).

So I couldn’t help but be influenced by that now. But it’s more electronic, obviously. I do feel like it’s psychedelic, though, anyway: it’s a state of mind kind of thing.”

The Australian’s experimental style and exponential rise in popularity have drawn positive comparisons to Optimo, the legendary Glaswegian duo who recently marked 20 years in the game with a super-sized party at SWG3. “I kind of hate that comparison because they’re the masters,” she laughs, “but it’s very nice to be compared to them. I’m such a huge fan.

“I actually had Keith (aka JD Twitch) down as a guest for me, doing an Autonomous Africa set at Phonox. I was so nervous to meet him because he’s my hero, but he was awesome and so lovely. And he stayed for my set, which was one of those head-spinning moments.”

With her Coconut Beats parties going on tour and spawning a record label, is there an Optimo-esque empire in the offing for HAAi? “I hope I can build a dynasty the way Jonny and Keith have,” she says before a pregnant pause.

“Coconuts Beats is something that I would really like to build into something bigger and better over the years. Just now it’s a blog and a label and a series of parties, and I think it would be natural to keep that going.

“I’d be more than happy to still be playing in 20 years… hopefully I’ll be a little bit better by then. As long as people keep on dancing, I’ll keep on playing.”

• HAAi, tomorrow, The Berkeley Suite, 11pm – 3am, £5