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Harmony Explained: Progress Towards a Scientific Theory of Music (2012)

arxiv.org

11–20 of 122 posts

Re: Harmony Explained: Progress Towards a Scientific Theory of Music (2012)

#11
Nice. But, is there a less “conversationally” written piece on the subject? In any event, this stuck with me: > Most music theory books are like medieval medical textbooks: they contain unjustified superstition, non-reasoning, and funny symbols glorified by Latin phrases

Re: Harmony Explained: Progress Towards a Scientific Theory of Music (2012)

#12
post #5
post #3

A good overview on the topic. My general issue with things like these is the simple fact, that as a lifelong musician I find the "less worse" harmonic combinations (to quote the abstract) often very boring. Aside from great composers like Bach et al I find the harmonic relationship of the notes played one of the least interesting aspects of the music, and expression, timbre, rhythm, phrasing much more important and n…

Do you have any examples of "a single note for minutes and get it to sound amazing"? I'm finding this difficult to imagine. A lead voice doing this while some accompaniment is changing chords underneath makes sense to me, but then you're back to harmonic relationships.

Half joking, but Berlin techno :)

You can have a whole set developing motifs, then multiple minutes of a single note being played in the middle, and somehow that sounds awesome (if you’re into it)

Re: Harmony Explained: Progress Towards a Scientific Theory of Music (2012)

#13
Harmony has always been a principle that refers to more than music, let alone chords. Here is a recent review: https://www.sciencedirect.com/science/article/pii/S240587262...

It also refers to the “first” scientific experiment: an empirical test of the generalization of a mathematical model of harmony — from ratios of string lengths to ratios of chime thickness (as recorded by Aristotle’s student Aristoxenus)

Re: Harmony Explained: Progress Towards a Scientific Theory of Music (2012)

#14
I have to highly recommend the book 'Fundamentals of Musical Acoustics' for mathematical/physical explanations of sound and music. Bells having multiple resonant modes, tuning kettle drums, how string materials and plucking methods changes harmonic profiles, why having lots of high frequency harmonics sounds bright (and electric guitars, pianos optimise for this), why sounds without high frequency harmonics sound hollow (nylon strings), virtual pitch, acoustics of rooms, etc.

My impression is that most sounds have their effect on us due to psychological association with familiar sources of those sounds, and that melody and harmony are fundamentally more subjective - they depend on looser associations with motion, mood, the human voice, the changes and developments of sounds in our environment.

Re: Harmony Explained: Progress Towards a Scientific Theory of Music (2012)

#15
The slight of hand in standard Western European music theory is that stacking 5ths gives you Lydian and its tritone as the foundational seven pitch scale. Major/Ionian is the fourth mode of this scale.

Not that there’s anything wrong with that…except when it comes to science as a basis for an argument from authority.

Like all music, people like what they like.

Re: Harmony Explained: Progress Towards a Scientific Theory of Music (2012)

#16
I personally consider this to be a better intro, albeit in video form:

https://www.youtube.com/watch?v=tCsl6ZcY9ag

This is a more recent paper (2019) that I think is better constructed and more aware of the in-field work than TFA:

https://pmc.ncbi.nlm.nih.gov/articles/PMC7006947/

Re: Harmony Explained: Progress Towards a Scientific Theory of Music (2012)

#17
post #5
post #3

A good overview on the topic. My general issue with things like these is the simple fact, that as a lifelong musician I find the "less worse" harmonic combinations (to quote the abstract) often very boring. Aside from great composers like Bach et al I find the harmonic relationship of the notes played one of the least interesting aspects of the music, and expression, timbre, rhythm, phrasing much more important and n…

Do you have any examples of "a single note for minutes and get it to sound amazing"? I'm finding this difficult to imagine. A lead voice doing this while some accompaniment is changing chords underneath makes sense to me, but then you're back to harmonic relationships.

I'm finding this difficult to imagine

Maybe go on Youtube and listen to music that you might not be familiar with?

Cage, Schaffer, Stockhousen, Boulez are some composers in the tradition of European classical music.

If you go outside that tradition, there’s even more. Endlessly more.

Re: Harmony Explained: Progress Towards a Scientific Theory of Music (2012)

#18
post #10
post #8

The logic that something sounds worse simply by combining dissonant notes is questionable, because music constantly combines elements—notes, chords, even different rhythms—without that necessarily implying displeasure for the listener. Convincing.

"Worse" is definitely a subjective appreciation influenced by culture and personal taste.

That's why it's questionable, because it's subjective. It would be factual to find the keys to determine what sounds "worse" across the majority of subjective opinions, independent of culture and personal taste.

Re: Harmony Explained: Progress Towards a Scientific Theory of Music (2012)

#19
I don't find this convincing at all. The actual interesting attempt at scientific theory of harmony in this could be distilled to a couple of lines, yet the author rambles endlessly in ways that don't add to the piece at all. I already knew his additions from traditional music theory already, so I can't really see what the purpose of this is.

Re: Harmony Explained: Progress Towards a Scientific Theory of Music (2012)

#20
I was wondering whether this might have an explanation for why I don't really like major music, preferring minor / modal / non-functional harmony... it does:

> Throughout this derivation of different chords, you will note that a gradual progression or degradation from high-theme/low-complexity (Major Triad, Harmonic Series chords) to low-theme/high-complexity (Minor and Ambiguous chords). This progression is suggested by our measure of interestingness from Section 2.4 "Interestingness: Just Enough Complexity". That is, as we progress, more and more of the theme of the Harmonic Series is lost and more and more complexity is introduced. Notice that this progression seems to mirror that of musical sophistication as well: musically untrained listeners like Major chords while more musically trained listeners are more tolerant to loss of theme and more interested in complexity. (I met a signal processing engineer who had played piano for something like 18 years and who simply did not like Major chords at all.) Other fields seem to progress similarly: white wine is preferred by new wine drinkers, whereas more "complex" red wines are an acquired taste.

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