*By swing I mean more than just syncopate with the rest of the band. “To swing” in a jazz context means to be able to play exactly in time with the rest of the band, except when you don’t (but you are in control). A very confused concept, read wikipedia for more info.
https://en.m.wikipedia.org/wiki/Swing_(jazz_performance_styl...
A great deal of European jazz (represented by, for example, ECM) does not have have the concept of rhythmic swing. Unfortunately, there’s a tendency to talk about jazz as if the genre is purely the music of the New Orleans-Chicago corridor in early 20th century America, and jazz now has far too many subgenres in order for a claim about one to hold true for others. (Even improvisation is no longer de rigeur, and an artist may well perform from a written score.)
...which since the 1970s has had a huge amount of Norwegian and Swedish (and more) musicians recording for the label, and recording sessions are often held in Oslo or Lugano. German headquarters, but more than just a German label.
Although, I'm not sure that I agree that dynamics and tone aren't as important in jazz.
I'm only half joking here. I'm a guitarist, and was having a conversation with a trumpet-playing friend once. I was talking about the technical struggle of legato playing at speed, something hard for trumpet players as well, but easy for saxophones. My friend was like "Yeah, but they have to play the saxophone". Few players can get a beautiful sound out of it, and only after years of struggle. Brass and guitars, on the other hand, have naturally beautiful tone, and are easy to get to sound nice.
The importance of melody over tone, and the melodic advantages of the saxophone, explain its popularity in jazz.
Jazz doesn't have a fixed ideal of timbre. The saxophone has immense timbral versatility and expressiveness, which is integral to it's role in jazz. The saxophone emphasises every nuance of breathing and embouchure. The smoother, sweeter-sounding clarinet disappeared from jazz with the dawn of bebop. The clarinet will still do those silky legato runs, it's only marginally more difficult to finger, but it just doesn't speak with the same expressiveness. A similar argument could be made about the use of brass mutes, especially plungers - they don't make a particularly pretty sound, but they're tremendously expressive.
The obvious example here would be Albert Ayler, whose playing is either exquisitely expressive or grotesquely ugly depending on your perspective. Compare his tone with Ben Webster or Johnny Hodges and you'll see my point.
Mildly cantankerous sidebar: if classical musicians really cared about quality of tone, they would have adopted the cornet a century ago. British brass bands rightly revile the trumpet as the vulgar, shrill cousin of the cornet.
I think part of the reason classical saxophone is reviled is because the "correct" tone for saxophones in a classical setting is kind of bad (with apologies to my old saxophone professor). In classical music you are expected to play with a particular tone that sounds kind of harsh and honky to me. In jazz, on the other hand, having a unique and identifiable tone - especially on saxophone - is extremely important. At least, it used to be. Compare the sounds of Ben Webster [1] (breathy, rich vibrato, almost cello-like sound in the upper register, as around 2:32 in the linked video), John Coltrane [2] (harder-edged, brighter, more pure), Stan Getz [3] (light, airy, "pretty").
But yes, you have to work at it. Unlike, say, guitar, where you just pluck the string and that's that ;)
[1]: https://www.youtube.com/watch?v=meNK2rnXDFg
As an aside, I've been intensely practicing a particular Miles Davis three-note riff (seven, if you count sounded notes rather than pitches), in part as a tonal exercise. The quarter notes need to be as intense and snappy as possible; the sixteenth notes need to be smooth and flowing. It's a really difficult shift to get the pick from "I'm gonna KILL this note" to "I'm going to gracefully flow these notes" - especially at fast tempos. I have no idea how Miles pulled it off on trumpet.
Not sure why you think trumpet is vastly easier to get a beautiful sound from than saxophone. That's silly.
The importance of melody over tone? Wow, never heard of that. All you say sounds like you are judging jazz by classical (I imagine) criteria, and of course it doesn't do well.
Historically, "jazz" started in the 1890s in New Orleans, when black performers were first allowed to play music in public. They played what was available to them - marching band instruments. Saxophones, brass, bass drums and snare drums. String bass and piano were added as the music moved indoors. Banjo dominated the string section until the electric guitar was invented, as guitars aren't loud enough to compete with all the horns and drums.
And yes, saxophones have a great deal of tonal expressiveness available, especially once overblowing is brought into play. It's just not pretty tonal expressiveness, compared to other instruments.
It can be done, and I certainly do it. But it can't be all that's done, or your sound falls flat.
Look at it another way... would you rather listen to doves, or geese? Tonal beauty is objective.
I've put in a couple of solid decades trying to improve my tone, and practice regularly to work on tonal issues. I appreciate the difficulty that any instrument represents.
On the other hand, classical music has tone and dynamics written into the score itself. The entire point of the conductor is to anthropomorphize these features of the music, so you know when she is flailing violently you should play differently than when she is shushing you. Additionally, the tone/timbre of the whole piece is set in stone by the composer; A classical orchestra would never think it was ok to let the flutes take a melody written for the trumpets, etc.
The other great lesson came from the jazz/rock drummer, Steve Smith. He describes "swing" as the simplest possible polyrhythm - a diminishment of three against two. Once you have three against two, you can start stripping out duplicates, until your down to ding ding da-ding ding da-ding ding... sound familiar? You get a strong backbeat (2 and 4), and an anticipation note at the very end of a bar before starting the next. Now, that anticipation note can be shifted earlier or later within its own beat, making things tighter or looser.
That's swing.