Harvard Square rings with a psychedelic edge on Friday. For starters, Aussie psych-rockers King Gizzard and the Lizard Wizard  (above) invade the Sinclair with their heavy, head-swirling energy in support of Nonagon Infinity — supposedly the first album to infinitely loop back to the beginning of its opening track. Then, over at the Lizard Lounge, guitarist/singer Roger Miller’s Trinary System shows its own heady, jagged growth in the vein of Miller’s longtime band Mission of Burma while transcending post-punk with spacey, bluesy and even British Invasion-inspired changeups. It’s evidenced in the five songs on Amplify the Amplifiers, a sharply evolved new EP from that Trinary trio, completed by drummer Larry Dersch and bassist Andrew Willis.

Other Friday options include the rootsy rock ‘n’ roll of the Old 97’s (fronted by Rhett Miller) Heartless Bastards at Royale, Brooklyn’s experimental electro-rockers Yeasayer at the Paradise Rock Club, and local ’60s heroes Barry & the Remains plus garage-rockers the Lyres and Muck & the Mires at Cuisine en Locale’s Once Ballroom.

Saturday sports local electro-pop veterans Freezepop (with co-founder the Duke joining in) at the Sinclair on a bill that includes the Static Dynamic and Casey Desmond’s synth-steeped project CMB, Three Women and the Truth (seasoned former Bostonian singer-songwriter Mary Gauthier, Gretchen Peters and Eliza Gilkyson) at Harvard Square landmark Club Passim, and Canadian alt-rockers Wintersleep at Allston’s Great Scott.

Then Sunday caps the weekend with Harvard Square’s Mayfair (including the Sheila Divine and Weakened Friends on the schedule), the blues-punk mashups of the Kills (with singer Alison Mosshart, also of the Dead Weather) at the Paradise, and the even more psychedelic, sludgy rock of Dead Meadow at the Once Ballroom.