Most indigenous music all over the world are far more interesting rhythmically with syncopation being the norm. Syncopation makes music interesting by introducing dissonance that resolve into consonance to release the built up tension. Classical music with some few exceptions has no syncopation instead relying on melodic and harmonic variations for creating tension and release.
Pop music also used to have a lot of rhythmic variations (with changes and breaks if not syncopation) but the emergence of disco killed it where pop music became background music for dancing primarily and not for sit down listening. That influence still persists.
Latin, African and Asian Indian rhythms are far more complex and aurally interesting (and challenging) than Western Classical.
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There is far more to melody than if it is catchy. Making something catchy actually requires a lot of simplification and a single dimension. Classical music tends to get its melodic richness from layers and contrasting voices even when it restricts itself to the simple well-tempered diatonic scales (although it was a lot more interesting in its origins in medieval times with use of modal scales). And because classical music tends to mix melody with rich harmonic content, it is difficult to hum most of them to make it catchy for an average person. Can’t keep humming Fur Elise all the time.
Other indigenous music in the world are far more complex in scales but usually linear rather than layered. But the scales again like syncopation in rhythm rely on dissonant notes in passing more than classical.
In pop music, progressive groups like Steely Dan or King Crimson have dissonance as well as layers to create interest. But the European composers were really geniuses in weaving voices together that is very unique.
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Classical music has a much richer harmonic construction than most music from its origins in harmonic church music voices of the medieval era translated into instruments. The richness comes from the brilliant layering and juxtaposition of instruments sometimes reinforcing, sometimes as a counterpoint. This is what probably contributes most to the appeal of classical music along with layering of melodies. Most other music with a few exceptions tend be far less complex in harmonic structure but more adventurous in going out of the diatonic scales. Anyone who has tried to play Steely Dan probably understands the complexity of their harmonic structures and yet it sounds deceptively simple. Most pop music is very limited in harmony.
A wide variety in all forms to generalize or compare. Classical music can go from a single instrument to a full size orchestra. Maturing at a time with no amplification contributed to use of large orchestral ensembles for impact.
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The bottom line is that each type of music has different type of appeal and function and while it can be analyzed academically like the above, the perception and enjoyment depends a lot on familiarity and exposure to variety. Nobody likes every form of music and there are devoted fans for every type of music.
I know I'm bumping this thread, but just wanted to say that this is an exceptionally perceptive comment not only about classical music, but about different genres of music generally and the differences between them. This aligns completely with my own views, as someone who appreciates (and occasionally performs) music ranging from classical to various kinds of indigenous music to contemporary pop music. But I would never have been able to express it this clearly. It is rare to meet people with such an insight into so many different musical genres. I stand enlightened.