At their best, the Smashing Pumpkins represent a captivating dichotomy of tranquil and thunderous, delicate and pulverizing. Step into Siamese Dream cold and see if you don't agree.

From the volcanic intro to "Cherub Rock" onward, the Pumpkins' performances are ferocity incarnate: Billy Corgan's overwhelming bramble of overdubbed, Big Muffed guitars, Jimmy Chamberlin's jazz-like flow undergirding it all. But while Corgan screams, he also cooes. Yes, the music flirts with brutal metal, as it does on "Quiet" and "Geek U.S.A." But it closes with "Luna," the polar opposite — a gossamer ballad. In highlights like "Soma" and "Mayonaise," both these streams of feeling run concurrently.

Try to find another record with these simultaneous qualities, dialed up to 10. (Corgan's direct inspiration, My Bloody Valentine's Loveless, is the exception that proves the rule.)

From there, investigate the two-time GRAMMY winners' entire catalog; this duality is everywhere. It's all over their 1991 debut, Gish — and reached a peak of extremity in 1995's Mellon Collie and the Infinite Sadness, where whimsical baubles like "Lily" and "Cupid de Locke" sit next to hair-on-fire death-metal meltdowns like "Tales of a Scorched Earth" and "X.Y.U."

A litany of beefs, breakups and make-ups haven't compromised that essential core. Their 2023 conceptual triple album, Atum: A Rock Opera in Three Parts, by the mostly reunited original lineup — bassist D'arcy Wretzky didn't return — is just as clear a window into Corgan's dark-and-light psyche as any. The rawk is there, as on singles "Beguiled" and "Empires," but so is an innocent air of sci-fi fantasia.

Pull up any interview with Corgan, and it will be many, many things: tempestuous, braggadocious, humble, vengeful, funny, conciliatory. After all these decades, it's impossible to truly get a read on the guy — other than that his mind is a freight train. And by the sound of the epic, ambitious, narrative-freighted Atum, that train isn't slowing down anytime soon.

With all that in mind, here's a quick trip through the Pumpkins' singular catalog, divided into three epochs.

The Original Run (1988-2000)

Five years after the Smashing Pumpkins disbanded, Corgan fired a missile that's almost jarringly revealing. 

"I was into Black Sabbath and it just wasn't cool, but I didn't give a s—," he seethed to Pitchfork in 2005, while promoting his debut solo album, TheFutureEmbrace. "My band was going to sound like Black Sabbath because I f—ing wanted it to and I didn't give a s— what some idiot f— thought."

As quaint as it seems now, it was gauche in early-'90s alternative circles to bear a classic rock influence: punkness was the platonic ideal. To Corgan, a tormented and talented child who grew up to assume an alt-rock platform, this was a call to arms.

Vibey and paisley-patterned, Gish was a contrarian move, seamlessly blending his beloved Sabbath with goth, shoegaze, dream pop, and other disparate influences.

Even looking at a photo of them at the time — Corgan looking like a Boston roadie; workaday, mulleted Chamberlin; boy and girl next door James Iha and Wretzky — it's clear they arrived in this sphere like space invaders.

Any number of Gish tunes, from "Siva" to "Rhinoceros" to "Tristessa," remain Pumpkins classics, but the album arguably served as a ramp-up to Siamese Dream — one of the all-time "Guy loses his mind in the studio under the guise of a band" classics.

The jury's still out on how much, or even if, Iha and Wretzky even appeared on it. The interpersonal drama behind the scenes has been public knowledge for decades.

"Cherub Rock" is that infamous Sabbath quote turned into a raging anthem; when Corgan screams "Let me out!", he means the fetters of hipsterdom. Watch Corgan when they debuted the song on "Saturday Night Live" in 1993; each crashing chord at the end is a hammer striking down his enemies, and at song's end, he throws up devil horns for good measure.

The eggshell-fragile hit single "Today" is mostly remembered for the video with the ice cream truck, which belies that it's about suicidal ideation. "Mayonaise," a heavy, windswept ballad co-written with Iha, is a thing of uncanny beauty.

Mellon Collie and the Infinite Sadness represents the culmination of Corgan's classic rock dreams, at least until Atum. It's their Wall, their Sandanista!, their White Album. (Indeed, it ends with a song called "Farewell and Goodnight.")

And on top of an already impressive 28 songs, it spawned an entire boxed set of outtakes — The Aeroplane Flies High — that are just as good as the album.

As for the double album proper, "Tonight, Tonight" conjures a strain of longing and awe that's oddly specific to the Pumpkins; the magnificent video cemented it as an all-timer. The whimsical title of "Jellybelly" belies that it's one of the heaviest metal songs they ever recorded. Corgan's paint-peeling scream at the climax of the already over-the-top "Bullet With Butterfly Wings" is unforgettable.

Crucially, Mellon Collie's epic feel is due to far more than the sheer length of the album: in "Here is No Why," when Corgan proclaims "May the king of gloom/ Be forever/ Doomed!", and Chamberlin answers him with a galactic snare fill, the effect is of your body lifting a few inches in the air.

The new-wavy side of Planet Pumpkin came to the forefront with "1979," their most well-known song by some margin. But as rightly adored as that hit single and its video are, it's an outlier. At their mid-'90s commercial peak, the Smashing Pumpkins were seemingly capable of anything, and Mellon Collie and the Infinite Sadness put all their cards on the table.

In the pantheon of great "everything's crumbling" records, 1998's muted, gothy Adore deserves a seat at the table. Corgan was clearly grappling with the loss of his mother, who died in 1996: the piano ballad "For Martha" is named for her. The skulking industrial-pop single "Ava Adore" represents Corgan at his most Gary Numan-eque.

Other highlights — "Perfect," "The Tale of Dusty and Pistol Pete," "Behold! The Night Mare" — capture a particular rapprochement between gloominess and pop appeal that Corgan never repeated. He would later call the experience of making Adore "one of the most painful experiences of my life."

The still-underrated Machina/The Machines of God brought the Pumpkins' original run to a halt. Chamberlin was back, but Wretzky had been replaced by Melissa Der Auf Maur. Among some critics, the pushed-to-the-red production did Machina no favors.

Machina continues a somewhat opaque sci-fi tale that began with Mellon Collie and culminates with Atum. While strange-yet-tantalizing concoctions like "The Crying Tree of Mercury" might be for Pumpkins diehards rather than neophytes, Machina contains one of the greatest songs Corgan ever wrote: "Stand Inside Your Love." If you're wired a certain way, this arena-rocking monument to longing and devotion might make your heart leap into your throat.

A scattered sequel, Machina II/The Friends and Enemies of Modern Music, was freighted with legal issues. Released as three EPs for free on the Internet, it's an essential addendum, with terrific deep cuts like "Home" and Iha's "Go."

As with The Aeroplane Flies High and their phenomenal 1994 outtakes and B-sides collection, Pisces Iscariot, which contains a borderline definitive version of Fleetwood Mac's "Landslide," Machina II is an essential companion piece to the Book of Billy.

The Transitional Years (2007-2016)

After Corgan's short-lived yet beloved supergroup Zwan made one sunny album and flamed out, the Smashing Pumpkins reunited in the mid-2000s. Kind of. It was just Corgan and Chamberlin, with guitarist Jeff Schroeder and bassist Ginger Pooley filling them out. 

The reconstituted band's first offering was 2007's Zeitgeist — the band's heaviest album by some margin, and one that fixated on a topic that the band had never broached before: U.S. politics. (Underlined by an almost 10-minute-long think called "United States.")

Despite a so-so critical reputation, Zeitgeist has aged well, especially given the current 2000s boom — despite the fact it's disappeared from streaming. "Tarantula" was and is a satisfying comeback single, and idea-rich tunes like "7 Shades of Black" and "Neverlost" are further proof that Corgan's songwriting chops remained in fine form during the break. They followed Zeitgeist with an acoustic EP, American Gothic, that same year.

It's no criticism of the Pumpkins to say that what happened next is all over the place. Partly because the next chapter resulted in a slew of great songs.

Chamberlin then exited, leaving Corgan as the sole original Pumpkin. After hiring Mike Byrne as Chamberlin's replacement, Corgan fired up another one of his hallucinogenically ambitious conceptual projects: Teargarden by Kaleidyscope, Conceived as a 44-song project themed around the tarot, the songs would be rolled out via an unconventional method: one by one, as he recorded them, in real time. While Teargarden didn't make it to completion, some of the tunes rank among Corgan's prettiest, like "Tom Tom" and "Spangled."

2012's Oceania hinted at the band continuing in a new form — Corgan, Schroeder and Byrne, filled out with bassist Nicole Fiorentino. But it didn't last. Still, approach this fan favorite not for the drama, but for the tunes, like the barreling "Panopticon," which recaptures that Siamese Dream fire, and the quiet-to-loud banger "The Celestials."

Corgan consolidated for 2014's Monuments to an Elegy, where the lineup is the grand total of himself, Schroeder and Mötley Crüe's Tommy Lee. Pop-radio-pointed singles have looked good on Corgan from the jump; for an obscure one, check out their strummy, end-credits farewell single "Untitled." "Being Beige" is another jewel in that crown.

While this period may have reflected a sense of uncertainty, it turned out to be temporary: in 2018, three original Pumpkins got back together — for real this time.

A New Era (2018-Present)

Despite having more original members today than at any point in nearly two decades, the Smashing Pumpkins have refused to make a reheated Siamese Dream. Rather, the band's recent creative moves have been quixotic and unpredictable in the most Pumpkinesque way.

It started in 2018 with a mouthful of a title: Shiny and Oh So Bright, Vol. 1 / LP: No Past. No Future. No Sun., a spirited Rick Rubin-produced mini-album to gas up fans for the reunion tour. 

If you thought we were getting a Vol. 2, though, think again: what came next was Cyr, a double album of austere synth-pop with almost zero deviation. That aesthetic blossomed into 2023's Atum: A Rock Opera in Three Parts, where Corgan and company deftly incorporate those analog synths into their old guitar-heavy template — updated with modern rock production.

Out of the entire set of '90s-rock royalty, the Smashing Pumpkins could be the most flat-out entertaining and transportive. A writer once summed up Corgan's two greatest strengths as a musician: "symphonic grandeur and needling intimacy." Partly thanks to Corgan's mastery in both departments, there was nobody like them when they arrived, and there will never be again. Believe in them, as they believe in you.

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