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Re:Is mathematics about to enter the conservatory? by dofm on Sunday September 06, 2026 @08:58PM (#49592572)
> Our society does not support classical musicians in the same way that we support ‘popular’ musicians.

It really really does. Popular/rock/folk/classical musicians all earn much the same way now: a blend of teaching, occasional performance fees, functions performances like weddings and galas, music-related side-gigs (composition, arrangement and recording for commercial music), and non-music-related side gigs — teaching non-musical things, gardening, painting and decorating, bar work, office temp work, even full time jobs (doctors and lawyers, accountants). I know a couple of classical musicians whose actual money-making music is playing other instruments in funk/rock functions bands.

Even the "best" or most famous musicians, popular or classical, have side gigs. Approximately nobody makes their money only from performing or from recordings; that ended twenty-five or thirty years ago.

Elite soloists, maybe — but that is actually a pretty expensive life to live. I would be surprised if many of them risked a life where they had no other job.

The idea that a "conservatory" system exists that meaningfully supports classical musicians is nonsense almost anywhere in the world, I would think. Even the first-chair musicians and conductors have side gigs.

(ETA: I can't believe this is a workable model for mathematicians, either. Maybe for a couple of dozen the world over. But there is no performance, no regionality, little in the way of public dissemination, little in the way of reflected glory for benefactors. No, the "conservatory" will perhaps be the intelligence agencies, as it was before.)

Re:Is mathematics about to enter the conservatory? by encomiast on Sunday September 06, 2026 @09:42PM (#49592852)
> Even the first-chair musicians and conductors have side gigs.

A principal player (I don't think anyone beyond high school band calls them 'first-chair') in a major symphony orchestra in the United States makes $250k-400k a year. These are extremely competitive jobs and they are paid well. Certainly enough to live on if you wanted to.

These people often teach, but not really because they need a "side-gig." If you ask them, they will likely tell you they feel a certain duty to prepare the next generation, they like teaching, and their rehearsal/performance schedule affords them the time.

Re:Is mathematics about to enter the conservatory? by dofm on Sunday September 06, 2026 @09:46PM (#49592883)
There are about twenty of these people, though.

I said "approximately nobody".

At a first approximation, no musician who does it for money makes a living out of it. Classical, pop, rock, whatever.

Nobody in music, basically, makes real money. Fifty, maybe a hundred violinists in the entire world do earn a pure living. Perhaps another twenty five of each other instrument. A few international soloists in other instruments. But musicians in those jobs are often burning as much money as they are making. (Even Anouskha Shankar has a portfolio career).

This is essentially nobody. Everyone else in classical music is earning just the same way as popular musicians — and society doesn't "support" popular musicians at all! The perception that rock musicians make money touring, for example, is just that: perception. The vast majority of tours either just break even or lose money. Working in music production and staging makes better money than musicians make.

Everyone else, essentially, has another job.

> (I don't think anyone beyond high school band calls them 'first-chair')

Snark noted, though I have no earthly idea why you felt it necessary

Re:Is mathematics about to enter the conservatory? by pclmulqdq on Sunday September 06, 2026 @10:01PM (#49592984)
Most of the major orchestras have a union and they negotiate salaries in the $100-200k range for everyone. It’s a lot more people than you might think (70-150 people on payroll in each orchestra). There are also a lot of touring soloists in the world compared to what you expect. It’s a very stressful life, but it yields somewhere between $100k and $1M per year, and many of your living expenses are fully paid for on top of that.

There are at least 20 such orchestras in the US alone, not to mention all the orchestras in Europe and Asia. There’s also a very long tail with compensation down to $50k for players.

The US BLS has 35,000 paid musicians listed, with another 10,000 music directors (a lot of church organists are in this category). Median wage of $40/hour, mean of around $52.

Re:Is mathematics about to enter the conservatory? by dofm on Sunday September 06, 2026 @10:14PM (#49593064)
> The US BLS has 35,000 paid musicians listed, with another 10,000 music directors (a lot of church organists are in this category). Median wage of $40/hour, mean of around $52.

So. Not a living then, for most.

Re:Is mathematics about to enter the conservatory? by pclmulqdq on Sunday September 06, 2026 @10:29PM (#49593172)
$40/hour is not bad. Aside from the few thousand tenured orchestra/chorus musicians, none of them are going to be making 6 figures from one job, but a number of musician-musician households pull in over $100k between two incomes built around relatively unstable gig work without either one having a high-prestige job.

Also note that churches, which are a hub for working-class musicians, are exempt from BLS reporting.

Re:Is mathematics about to enter the conservatory? by rowanG077 on Sunday September 06, 2026 @10:28PM (#49593168)
$40/hour is $83,000 per year, that is more then livable in the US, and by definition of the median half make more. So I can't agree that it's not a living wage for most.
Re:Is mathematics about to enter the conservatory? by frikskit on Monday September 07, 2026 @02:00AM (#49594424)
Assuming they work 40 hours a week. Do they?

Maybe I’m just off the mark but this doesn’t seem like the kind of job you clock in at 9 and stay till 5.

Re:Is mathematics about to enter the conservatory? by rowanG077 on Monday September 07, 2026 @08:02AM (#49597323)
I would expect much more hours when performing and less when not. I would expect it indeed would be approximately a fulltime job.
Re:Is mathematics about to enter the conservatory? by adgjlsfhk1 on Monday September 07, 2026 @11:38AM (#49599598)
it's nowhere close. Most orchestras are playing 1-2 nights a week (max) and each performance has 0 or 1 rehearsal (1 if it's a new program, 0 otherwise). Average when performing is maybe 20hr a week
Re:Is mathematics about to enter the conservatory? by encomiast on Sunday September 06, 2026 @10:01PM (#49592982)
I understand your point. Music is one of those careers, like professional athlete, that make parents cringe when optimistic children announce an intention to pursue it. Your numbers are off (the base pay of the Chicago Symphony Orchestra last time I checked was around $200k) and there ~30 violinists in that orchestra alone. But it's not an order of magnitude.

But just because the numbers are small doesn't mean society does not support them. There just isn't a need for a lot of them. It would be like saying society does not support professional athletes. Clearly it does, but only at the highest level. And at that level, it supports the very well.

> Snark noted, though I have no earthly idea why you felt it necessary

I apologize. I come from this world, have close friends in major orchestras and experience on the world's opera stages. This culture is full of shibboleths: referring to works as "songs", clapping in the wrong place, hell, even pronouncing 'Don Giovanni' the same way you pronounce "Don Draper" lets people know you are not from around here.

Re:Is mathematics about to enter the conservatory? by dofm on Sunday September 06, 2026 @10:13PM (#49593058)
But society in general does not really support professional athletes in any directed “conservatory” sense, beyond the weird obsession with college sports in the USA.

Corporate sponsorship pays the bigger amounts: that is a side job with its own commitments. Prize money: by definition not available to most.

Directed pay is a tiny fraction of it (stipend level), even at the highest levels.

Athletes have other jobs.

Again: a bad model for mathematicians. None of them are going to be signing merch deals. Most aren’t winning prizes. I am afraid that mathematicians are just going to have to keep doing all the other jobs they already do.

Re:Is mathematics about to enter the conservatory? by Someone on Monday September 07, 2026 @03:48AM (#49595233)
> But society in general does not really support professional athletes in any directed “conservatory” sense, beyond the weird obsession with college sports in the USA.

At least some countries have programs where (candidate) Olympians get professional support and a stipend.

See for example https://www.uksport.gov.uk/our-work/investing-in-sport/how-u..., https://www.dosb.de/en/themen/athletes/services-for-athletes

Re:Is mathematics about to enter the conservatory? by contubernio on Monday September 07, 2026 @03:58AM (#49595316)
A country like Spain has a formal system of grants and awards for athletes designated as "elite" and supports them roughly at the same pay as it supports junior university professors.
Re:Is mathematics about to enter the conservatory? by analog31 on Monday September 07, 2026 @01:57AM (#49594399)
Oddly enough I'm one of those parents. Yes, I cringed, but at the same time I would also have cringed at watching them go into something they hate just for the money. I've seen that too.

An observation I made is that the tournament career system is supported by the entire cadre of players and families, of the kids who won't win one of the prize jobs. One reason is we just don't know which 18 year olds will rise to the level needed to win a symphonic audition a decade later. I've always been ambivalent about this, but don't have a good idea for how to reform it.

I majored in math and physics. My parents didn't cringe, at least quite so much. I became, quite honestly, a mediocre physicist at a time when you had to be a research superstar to apply for a tenure track job at a third rate college. The consolation for me was that a mediocre physicist could still earn a decent living doing something in industry, and I'm now at a late stage of a satisfying career.

I also work on the side as a jazz bassist.

Re:Is mathematics about to enter the conservatory? by glimshe on Monday September 07, 2026 @07:56AM (#49597281)
>at a time when you had to be a research superstar to apply for a tenure track job at a third rate college.

Is it any less competitive now?

Re:Is mathematics about to enter the conservatory? by analog31 on Monday September 07, 2026 @10:22AM (#49598805)
Possibly more competitive. I got my degree in the early 90s. Good point.
Re:Is mathematics about to enter the conservatory? by vintermann on Monday September 07, 2026 @08:27AM (#49597557)
Conservatory kid parent reporting here too. At least I live in a country where there is likely a job for him, even if he shouldn't win out against all the other extremely determined classical piano students.
Re:Is mathematics about to enter the conservatory? by bananaflag on Monday September 07, 2026 @02:06AM (#49594471)
> There are about twenty of these people, though.

In Germany every small town has a (state-funded) orchestra. I know someone who plays the violin in such an orchestra, he has a solid salary, big house etc.

He has a side gig, he has a quartet with some friends of his, but it's for fun, not for money.

Re:Is mathematics about to enter the conservatory? by groestl on Monday September 07, 2026 @02:32AM (#49594658)
> Fifty, maybe a hundred violinists in the entire world do earn a pure living

Coming from Vienna, that can't be right. This city alone breaks that assumption with it's largest 4 orchestras combined.

Re:Is mathematics about to enter the conservatory? by bjelkeman-again on Monday September 07, 2026 @03:01AM (#49594863)
It is still a very small number compared to all that practice music, and which they could live of it.
Re:Is mathematics about to enter the conservatory? by StilesCrisis on Monday September 07, 2026 @09:09AM (#49598008)
So if I go and see Hamilton or something at the theater, your claim is that the orchestra, to a man, each of them has a second job?

What sort of job would that even be? It's a traveling show so they can't even work a normal job--they're in a new town every week.

Re:Is mathematics about to enter the conservatory? by bad_haircut72 on Monday September 07, 2026 @09:49AM (#49598437)
when the show finishes they lose their gig and go back to tending bar or whatever until they get their next one.
Re:Is mathematics about to enter the conservatory? by losvedir on Monday September 07, 2026 @11:07AM (#49599265)
This is confidently presented, but seems incorrect based on other commenters.

> Snark noted, though I have no earthly idea why you felt it necessary

I think it's useful if you are, in fact, talking out your ass. It's hard to tell given your confident phrasing, but saying something which gives away that you don't actually have meaningful experience in the subject is worth calling out. It sounds like your interlocutor has a better sense of the state of the music world, and that was a way for them to indicate it.

Re:Is mathematics about to enter the conservatory? by 1718627440 on Monday September 07, 2026 @01:36PM (#49600807)
You need hundreds of them to make an orchestra and every big city want's an orchestra to be competitive.
Re:Is mathematics about to enter the conservatory? by Kon5ole on Monday September 07, 2026 @02:35PM (#49601451)
>Fifty, maybe a hundred violinists in the entire world do earn a pure living.

This has to be off by at least two orders of magnitude.

The Reykjavik symphonic orchestra in Iceland alone employs some 30 full time violinists. The nation's population is less than El Paso, tx - which also employs some 80 musicians in their symphonic orchestra.

Your main point might still have merit, but this forum is one where missing the numbers by so much will distract many readers. It distracted me, at least. :)

Pop musicians have fewer options and need to chase gigs, but the payoffs are also larger if they make it. One-hit wonders drive Ferraris.

Re:Is mathematics about to enter the conservatory? by anon291 on Sunday September 06, 2026 @09:03PM (#49592605)
Modern 'classical' music is a myth. In their day, classical composers were essentially pop performers. Women used to throw their undergarments at mozart...

Today classical music is filled with people who want to pretend to be superior to pop musicians because they keep their repertoire confined to academically acceptable areas.

And then the LARPers that want to make new music make complete and utter arhythmic and atonal trash that demands humans subdue our own aural feelings of beauty.

You'll find classical musicians who complain about this stuff are usually incompetent musicians who really stretch the definition of artist.

Sorry spent almost a decade of my young life in a somewhat competitive music school environment. Lots of the other kids were upset I played what I wanted to and people liked it.

Actual modern composers in the classical tradition (I.e. people alive today who compose music that is similar in feel to older composers) are well compensated because they're often hired to score films, video games, and other capitalist interests that the supposedly 'real' classical musicians would scoff their noses at.

Re:Is mathematics about to enter the conservatory? by boothby on Sunday September 06, 2026 @09:23PM (#49592735)
> Today classical music is filled with people who want to pretend to be superior to pop musicians because they keep their repertoire confined to academically acceptable areas.

As somebody with classical training and a brother in the industry, it pains me to read this misinformed opinion of yours. Top-tier symphonies world round are doing crossover concerts with pop artists, play pop songs, modern and experimental music, and regularly feature works by living composers. In my high school orchestra, circa '98, we played stuff like music from Star Wars and West Side Story -- not just the ancients.

Down the foodchain, it gets even weirder. The favorite gig I played involved interpretive dance featuring waterboarding, gallons of fake blood, a live chicken race, and more.

Where you certainly will find a subset of afficionados of any genre who scoff at anything but their extremely narrow definition of "good music," if you take the time to rub elbows with mature classical musicians you'll find many to most of them quite open minded.

Your experience with young artists, finding them to be idealistic and purist, does not extend to the whole field. I know people who only listen to a single narrow genre or decade of pop music. How are they different?

Edit to add:

> And then the LARPers that want to make new music make complete and utter arhythmic and atonal trash that demands humans subdue our own aural feelings of beauty.

Oh, no. No, no no. I've been to a circuit-bent punk show. I recently went to an ambient music festival. I've heard glitch pop. Angine de Poitrine is blowing up because they use a semitonal guitar (though as a bit of a noise snob, I find their use of semitones milquetoast and rather uninspired).

Here you are, narrowly defining music, and excluding what you dislike. But it's not just "classical" living composers doing this.

Re:Is mathematics about to enter the conservatory? by lokar on Sunday September 06, 2026 @09:52PM (#49592926)
> Top-tier symphonies world round are doing crossover concerts with pop artists

And they have been for a long time:

https://en.wikipedia.org/wiki/Concerto_for_Group_and_Orchest...

Re:Is mathematics about to enter the conservatory? by TFNA on Sunday September 06, 2026 @10:00PM (#49592975)
As classic as that collaboration now is, the RPO was not top-tier at the time of it.
Re:Is mathematics about to enter the conservatory? by AlotOfReading on Sunday September 06, 2026 @10:32PM (#49593191)
My understanding is that many of the classical-heavy orchestra schedules are driven by donor expectations.
Re:Is mathematics about to enter the conservatory? by analog31 on Monday September 07, 2026 @02:10AM (#49594504)
One thing I've observed is that a subset of that weird and interesting music is only possible due to the availability of musicians who have gone through the classical training. Having access to players who are capable of doing anything you ask, is what allows composers to be even more adventuresome, for two reasons. One is the sheer ability to play the stuff, and the other is the efficiency of doing it with a minimum of rehearsal.

The same has been true to some extent in the past for popular music. Up through maybe the 70s and even 80s, a lot of the instrumental parts for the "hits" were recorded by trained jazz musicians.

Re:Is mathematics about to enter the conservatory? by anon291 on Monday September 07, 2026 @06:07PM (#49603492)
> I know people who only listen to a single narrow genre or decade of pop music. How are they different?

No one mistakes a pop artist or afficianado for some great connoisseur of culture.

Re:Is mathematics about to enter the conservatory? by skew-aberration on Sunday September 06, 2026 @10:28PM (#49593165)
I've heard this argument many times, there's a grain of truth and I strongly agree RE 'arhythmic and atonal trash', but it strikes me as disingenuous.

Classical music was somewhat elitist even at the time, coexisting with popular/folk music traditions. The Romantic period definitely saw music and art break away for traditional forms and conservative mores, but it wasn't a free for all.

The people who enjoy classical music today are largely the same people who enjoyed it at the time. Educated and 'enlightened' upper/middle classes, who sought music celebrating their aspirations. Freedom from political oppression and aristocratic control. A world where people could succeed based on talent, hard work, intelligence, and propriety. Where the middle class would have the power to reshape government and social institutions to advance their interests rather than those of the nobility. A personal experience of the religious rather than state ordained. The music pivots to natural, romantic, mystical themes as these people lost faith that industrialization will deliver for them.

Compare modern popular music which deals with universal themes - love, loss, sex, money, partying. You can enjoy pop music and still feel that these themes are not important to you.

People don't fake enjoying classical music to convince you that they're smart and cultured. They just gravitate to music which represents their idea of smart and cultured. The same is true for a lot of art.

Re:Is mathematics about to enter the conservatory? by TFNA on Sunday September 06, 2026 @09:41PM (#49592846)
The idea that classical composers (before about Liszt) were the "pop music" of their day is uninformed. Consider 1) the size of the venues that Mozart or Haydn's secular music was performed in, and 2) the fact that the bulk of the population was peasantry who wouldn't be admitted to such venues in a time of strict class distinctions.

Outside church settings, classical music of the Baroque, Classical and early Romantic eras was for the elites, and the masses had their own musics. This only changed gradually over the 19th century.

It's also weird to still be hung up on atonality in the contemporary classical world, when the pop-music world has for decades now had acts like Merzbow that are often farther out into noise.

Re:Is mathematics about to enter the conservatory? by mrob on Monday September 07, 2026 @06:08AM (#49596373)
Merzbow is not pop music, or arguably even music at all.

>I threw all my past music career in the garbage. There was no longer any need for concepts like 'career' and 'skill'. I stopped playing music and went in search of an alternative. — Masami Akita

Pulse Demon is the only Merzbow album with any cultural importance, and that's mostly because the eye-catching cover art let it replace Lou Reed's Metal Machine Music as the default "check out how extreme this is" meme album. Only a tiny minority of music listeners will enjoy listening to it, and there is no establishment pushing it as the future of music.

Re:Is mathematics about to enter the conservatory? by TFNA on Monday September 07, 2026 @06:41AM (#49596630)
Merzbow gets booked for popular-music festivals regularly, and plenty of other artists have credited him. The Japanese noise scene even inspired a Detroit noise scene through the 1990s and early millennium.

I don't care for the genre myself, but having been to events and seen pleasurable crowd reactions and met people who traveled some distance for it, I can't deny it has at least some real following. Who cares if it isn't discussed as the future of music? There are punk, metal, and hardcore subgenres that draw the same narrow audiences and don't aim to shake the world, but claiming that disqualifies them as part of the popular-music world would be silly.

Re:Is mathematics about to enter the conservatory? by anon291 on Monday September 07, 2026 @06:09PM (#49603511)
Pop music is also mostly trash too, but no one pretends otherwise. At least they have the decency to use auto tune.
Re:Is mathematics about to enter the conservatory? by kashunstva on Monday September 07, 2026 @04:55AM (#49595816)
> Today classical music is filled with people who want to pretend to be superior to pop musicians because they keep their repertoire confined to academically acceptable areas.

What an incredibly cynical take. I’ve done several chamber music collaborations with a violist who also plays pop music gigs on keyboards.

There are arrogant pricks in classical music. And in software engineering and every other discipline. Personality is orthogonal to field of interest.

Anyway you complain that classical musicians look down on pop music while you yourself do the same about modern composers.

Re:Is mathematics about to enter the conservatory? by anon291 on Monday September 07, 2026 @06:10PM (#49603519)
> while you yourself do the same about modern composers.

I literally gave several examples of modern genres in which classical composers still produce good work. I just said they're unlikely to be found in academia

Re:Is mathematics about to enter the conservatory? by analog31 on Monday September 07, 2026 @02:28AM (#49594620)
>>> Elite soloists, maybe — but that is actually a pretty expensive life to live. I would be surprised if many of them risked a life where they had no other job.

Yes, they really did. Getting to that level requires training at an intensity that closes off the option of training for an alternative career.

Re:Is mathematics about to enter the conservatory? by lordnacho on Monday September 07, 2026 @05:27AM (#49596068)
I think he's alluding to having family money.

So, even though you try hard to become a pianist, if you don't become famous, you're ok.

A friend of mine did this, he lives in a massive house and just enjoys his music, teaches occasionally.

Re:Is mathematics about to enter the conservatory? by Gravityloss on Monday September 07, 2026 @06:18AM (#49596453)
I think often in families, if a generation is successful with money (for example as engineer or enterpreneur), then next generation often become artists or politicians etc.
Re:Is mathematics about to enter the conservatory? by IronyMan1 on Monday September 07, 2026 @03:58AM (#49595317)
i know some musicians, and it's how you describe it. They have multiple gigs all the time. Even 20-30 years ago. Most of the time one main job, one that pays the bills and is stable, like teaching, and more on the side. A conservatory is just a high-end agency for distributing classical live music.
Re:Is mathematics about to enter the conservatory? by babagan0ush on Monday September 07, 2026 @07:24AM (#49596990)
On a side note: It's not called a "conservatory" because we are conserving the art in it. The name seems to originate from a place where orphaned children were taken care off (i.e. conserved) and part of that was through musical education.
Re:Is mathematics about to enter the conservatory? by vintermann on Monday September 07, 2026 @08:17AM (#49597460)
I don't think fully employed opera singers, and professional orchestra musicians, tend to have side gigs. But it's also extremely difficult to get full employment in such jobs, and I think they're pretty intense: of the few people from my school days who succeeded in getting that, at least two of them quit/downshifted into teaching jobs after a decade or so.
Re:Is mathematics about to enter the conservatory? by NikolaNovak on Monday September 07, 2026 @08:40AM (#49597671)
My experience is different ; Somehow I befriended a bunch of professional opera and orchestra singers in my mid 20s. It is now 20 years later and they absolutely all have side gigs.

We need to distinguish "professional opera singer" and "professional orchestra player" vs Pavarotti though :). Just like there are hundreds and thousands of "professional singers" and one Jennifer Lopez (though one could argue she's a perfect example of side gigs:).

My musician friends teach, do social networks, do all kinds of gigs, and are usually "multi barely employed". Not a single one of them, and two are fairly successful, are "full time employed" in the same sense a corporate professional is :-/.

Re:Is mathematics about to enter the conservatory? by vintermann on Monday September 07, 2026 @09:02AM (#49597926)
I think it's a lot about which country you live in. I live in Norway, and went to a music oriented high school (I'm not terribly talented myself, but only half the places were set aside for people doing well on audition, the rest of us got in on grades). A good deal of my classmates became professional musicians of various sorts, two got orchestra jobs. But Norway isn't the best country to be a full time classical musician at all - apparently there are far more positions in Russia and Eastern European countries.
Re:Is mathematics about to enter the conservatory? by saberience on Monday September 07, 2026 @11:39AM (#49599614)
As someone who's been close to several opera singers (long story), I would say that the amount of opera singers who don't have side gigs in teaching or otherwise is very, very small.

Yes, if you're one of the few world famous sopranos you don't need to teach, but most singers are not world-famous. I knew one singer who toured internationally, had sung in front of thousands of people, had sung with world famous people, etc. But who lived in shared accomodation and worked several other part-time jobs to make ends meet.

Re:Is mathematics about to enter the conservatory? by luxcem on Monday September 07, 2026 @10:48AM (#49599037)
I think you are talking about the US. In Europe (at least France & Germany) most professional classical musicians are doing it exclusively (we might be an outlier but it's the norm here), competition is fierce though but at that level it's a full time job. In France we have prestigious ensembles (Orchestre de Radio France, Opéra de Paris, Orchestre de Paris), roughly 20+ subsidised regional orchestras and opera houses, military and police ensembles. That's for full-time permanent job. Underneath that there's the intermittence regime (roughly 100k people) freelance entertainment professional. Between gigs, the government provides a special unemployment insurance program to maintain a steady income. Germany is the same story, on an even bigger scale (100+ state-funded ensembles) but no intermittence equivalent.

But even in the US, are you sure that musicians from the big 5 need side gigs? It seems that the salary in those orchestra are in the $100k-$200k range annually. Enough to live even in the most expensive cities, right?

Re:Is mathematics about to enter the conservatory? by viccis on Monday September 07, 2026 @01:10PM (#49600546)
>I can't believe this is a workable model for mathematicians, either.

It already is. Pure math departments are largely service oriented. They exist to teach engineers calculus. They are already spending a great deal of time doing non-research tasks, just like musicians you described. The exceptions would be the very top researchers at R1 schools, and even then they often spend time advising students and teaching occasional courses. It's not super common to have people do nothing but research in a pure math department.