Second, it literally has a chapter on Popular Music and another on Jazz Theory, and "Classical" is not found in its chapter titles. So I don't think your critique is accurate.
Third, history and time matter. "Theory" came first in "classical" contexts, with codified rules pre-dating even Bach. Jazz was a much later invention that built upon these and other traditions. Both of the Jazz theory books I used in my BA in Music Theoryhad many elementary topics already covered in Classical contexts.
If programming is an analogy, it's said that once you've learned your first language, you can learn any other language in a jiffy. Also, a lot of higher level learning is "learning how to learn." Maybe it's better to have a standardized "first language" that students can learn in depth, and then let them move into other areas at their own discretion.
I don't have a college degree, but for me, classical music lessons were a great preparation for learning jazz, and I've picked up pop, rock, and folk music on my own. In fact, on the instrument that I play, the double bass, gaining proficiency and experience in jazz without that background is a brutal learning curve.
Where this ties in to your point is that part of the reason they really don't want experts is that they rarely have someone whose job it is to teach middle eastern music. They might have a guitar teacher with some experience with oud, a flute teacher who can passably play ney (usually with awful intonation), etc. For most schools, these other types of music are "add-ons" that they have their existing faculty teach.
To me, that above ^ looks like the biggest gap.
To be fair, the book doesn't claim to demonstrate theory of the "world music" (sic, a phrase as bad as it sounds).
My (brief and shallow) understanding is that most scholars of music in the western world just do not have enough knowledge to talk intelligently about non-western genres. Exceptions exist, of course, but they are quite rare.
[Other reason is that there is a lot of gate-keeping. I've seen that in Hindustani/Carnatic classical studies, FWIW, which is one my areas of interest]
Example: memorize the major scale as a series of whole and half steps but we won’t provide you with any context or motivation for why this is so.
Similar: in a major scale all notes are played and none are skipped or repeated. Except if your scale goes D–E–F#–G, in which case you skip F. The only way for this to be correct is apparently we consider F and F# to be the same note for purposes of scales even though this directly contradicts a previous section.
I was expecting a “21st century” music theory reference to have an emphasis on building intuition. Music theorists are apparently allergic to good pedagogy.
I recommend "What Makes Music Sound Good?" by Prof. Dmitri Tymoczko: https://dmitri.mycpanel.princeton.edu/files/pdfs/MUS105hando...
There is a part near the beginning where he derives the diatonic scale from first principles. (There is a sequel as well, and a book if you prefer to read it in book form)
It's the culmination of years spent chasing an explanation of where all this stuff came from.
Highly informed by Tymoczko, who was mentioned in a sibling reply, and a bunch of other thinkers on the topic.
[1] I understand ancient scales were 3-limit instead of 5-limit scales, and that modern equal temperament has thirds which significantly deviate from 5:4 and 6:5, but once polyphony became a thing, 5-limit temperament made a lot more sense because they reduce beating.
Recommending The Jazz Theory Book to someone starting from scratch, especially someone self studying, is like recommending CLRS or TAOCP to someone who asks "I'm curious about learning the basics of algorithms and data structures, any good books for self study?" And of course that happens all the time too. Chapter 1 is "here's what intervals like major 3rd and perfect fifths are", Chapter 2 is "here's the major scale and all its diatonic modes and ii-V-I progressions", Chapter 3 is "here's how you might use the Phyrigian mode to play over a Sus flat-9 chord" (pg 48).
Recommending Schoenberg and Messiaen as steps to get a sufficient surface of topics covered for "music theory" is performance art in its own regard. Bravo!
I IV V chord progressions and major scales are basic enough I can explain them in a 400 word post from first principles (where no music theory exists except the assertion that the human ear finds the pitch ratios of 2/1, 3/2, 4/3, 5/4, and 6/5 pleasing to the ear, that the human ear wants at least three notes in a chord, and that the human ear wants at least three chords in a progression).
Those books get very complicated very quickly, and cover music that only a relatively few people actually listen to. It was pure gatekeeping, and I’m disappointed people pointing that out were voted down. Not a good moment for Hacker News. It would be like me recommending Lisp or Forth for one’s first programming language.
[1] https://www.abrsm.org/sites/default/files/2023-09/music-theo...
Ah, well, that makes sense. I come from the "music theory is a quintessentially rigid, British-Schoolroom-coded subject that emphasizes rote memorization over actual understanding" school of thought. The musical equivalent to Americans requiring their children to recite the Pledge of Allegiance before they can even understand what the words mean.
The student seeking to build their understanding asks: why is the order of sharps FCGDAEB? Why is the mode with a sharp 4th note the Lydian mode?
Music theory responds: Because fuck you, that's why.
Same with many activities. Pedagogy and real-world use are different goals. Result is a confusing and horrible learning curve.
Some people are okay with being told "memorize this list of arbitrary factoids" and there's nothing wrong with that, I'm just not one of those people who can pretend that that's good pedagogy.
I don't think rote memorization is super useful for me as a player- I've heard a lot of analysis that sounds "accurate" but often it doesn't follow my own thoughts and understandings.
If folks are playing, that raises questions about "why this here" and it's nice to have vocabulary for to understand. But I see a lot of folks (there are several in this thread) who think that is a bit backwards- that somehow folks could start with an abstract rule set and learn much. If that's the view on what is happening then I agree that "teaching theory is impossibly hard".
But if learning to play comes before the theory about why we play what we play the situation is a lot easier.
Almost all the theory I have comes from applying the stuff from "theory" books to what I do.
I learned what a secondary dominant sounds like by learning I should stay in an A chord instead of an Am in the turn around in G major blues songs long before I got the concept of what that C# might do to the local tonicity of the tune from whatever theory book.
And I think that's a reasonable way to learn: start playing whatever, try to pick up something you can read for (I read double bass and clarinet pretty well) take up a lot of piano (weather you read it or not), play a bunch with musicians, and eventually the arbitrary facts about your practice sort themselves out.
Ableton's teachings are far more interesting in my opinion, even if extremely more limited.
D major: D E F♯ G A B C♯
D minor: D E F G A B♭ C
Db major: D♭ E♭ F G♭ A♭ B♭ C
Db minor: D♭ E♭ F♭ G♭ A♭ B♭♭ C♭
My point was not to showcase my confusion, rather to reinforce the fact that music theory texts are just generally low quality, and music theory as a field seems to be okay with that.
88 keys (usually) and unlimited notes.
I think that you can learn music theory (to play an instrument or to compose music e.g. in a "piano roll tool" / MIDI editor) much faster if you skip the classic notation. And I think that it is even better to learn the notation AFTER you understand the music theory.
I even made my own guide to music :D https://www.jampea.com/learn
> Only a limited set of frequencies is used in music. All these frequencies (that exist in music) can be played by a piano.
In addition to microtonality, many instruments (and the human voice) are capable of infinite tuning, and musicians will deviate from the "correct" note (as played by an even-tempered instrument) based on chord structure, voice leading, etc.
> To describe tones that exist in music, we can describe tones that exist on a piano. There are only two rules:
> the first key must play a tone of 27.5 Hz each next key must play a tone 6% higher than the previous key
(This is not to mention that at a 1.06x increase per half step you're going to be sharp by 1 cent / octave which starts to add up).
The parts that are really weird (like the C clef) have mostly been obsoleted, unless you play the viola I guess.
If someone takes time to deeply understand the advantages of the textual approach and then builds an alternative, I'll listen.
But at this point, anyone who is doing this and their criticism of the original approach is shallow and uninsightful, where it's basically just "it's old and it must therefore suck", is unlikely to produce a good answer.
I think that applies to the music notation case too. "Conventional" music notation isn't just a staff and a couple of types of notes. By the time you handle all the use cases that conventional notation handles, or even just a solid subset of it, your brand new notation is probably a lot less elegant than it started out as in someone's head.
Unlike most languages it's inherently two dimensional because music includes both horizontal (time, rhythm) and vertical pitches (chords/colours, harmony) information.
And - especially important - melody is an element that needs both.
You can't represent the same information with text without losing a lot of important content, which is why toys like Sonic Pi are more limited than they seem.
You can kinda sorta represent the same information on a piano roll, but it's not any easier to read than dots - in some ways harder, because you're not going to see the relationship between a bass line and chords as clearly.
Is it a good programming language? It's quite dense, but not denser than some code idioms. The 2D element is unique, and hard to represent in other ways.
The learning curve is steep, but it's probably as good as it can be given the requirements and constraints.
I know neither is about music notation per se (but about fixing the piano), but it is analogous: Music notation has exactly the same problem as the piano -> it defaults to C, which makes everything else relative to C and overly complicated.
For the record, I don't think this means we should switch to a new system, but it is usefull to recognize that it is suboptimal, if only to be able to accept it and continue (because nobody is going to translate everything to some new notation)
Classical composer and software engineer here. One of my goals is to help update score notation. I use something called "harmonic coloring" which is like a reduced MIDI notation: You color a note by its functional role (harmonic value) rather than an arbitrary hue in 0-11.
What this view shares with MIDI: Long rectangles representing the applied durations. How it is different: Occupies a minimal amount vertical space.
The color palette I'm using is intended to support people with colorblindness. The shades/hues of a color encodes the functional harmony. The root key signature (origin) is always the same color; and chords some distance r away on the circle of fifths is the shade/hue at that offset r.
There is a similar concept described in the Tantacruel video towards the end.
You can explore it here on Monic Theory. (mobile view should be fixed within 48 hours)
Similarly, in Carnatic and Hindustani classical traditions, the note names (Sa, Re, Pa etc) do not denote pitches - Sa is always the root, whatever it is, and the rest have a somewhat well defined intervallic relationship to it.
I personally would not use "harmonic value" to describe this, since it occurs in music that (broadly speaking) lacks harmony. The key point, IMO, is that what matters are sets of intervals (ratios, if you prefer) rather than actual pitches (as frequencies).
Hindustani (and Carnatic) music indeed do not denote pitches for a very sound (pun intended) reason: They let singers choose the root note (Sa), and thereupon the melody is built. Most (all?) of Hindustani music is melody-based, not harmonic based (like Western music). And the melodies are themselves created within the Raga framework. Raga is like a mode (but not exactly that), and is hard to explain within the constraints of Western music theory precisely because that concept does not exist in western music per se. Which is why most Indian classical theorists call a raga a "melodic framework", and leave it at that (or expound on it, as the case may be).
A great reference for Indian classical music is [1] and and more recent one [2]
[1] The Ragas of North Indian Music, N.A. Jairazbhoy, https://archive.org/details/dli.ministry.26725
[2] Rāgs Around the Clock, A Handbook for North Indian Classical Music, with Online Recordings in the Khayāl Style, https://www.openbookpublishers.com/books/10.11647/obp.0313#r...
But it, and the piano black keys with it, are definitely not optimal. It makes playing in C easy, and playing in anything else hard. I've picked up a new instrument since ~2 months, and 1 month in I could already play all scales by by deliberately staying away from music notation, learning the raw distances/steps that make up a scale and how to play them, rather than the 'delta from C', which is how classical training taught me to think. (Same story for chords etc)
I don't think this is true—I was under the impression that, at least on piano, keys other than C major are sometimes chosen specifically to make things easier on the fingers.
... or is it geek, i can never remember the difference ...
Our 12 tone scale with the major scale note names and notes not in the major scale marked with dots looks like this:
C.D.EF.G.A.B
CDE.FGAB....
C.D.EF.G.A.BC.D.EF.G.A.B
X.X.XX.X.X.X
Let's do the same 7 tone transposition for the aliens. Their major scale pattern is XXX.XXXX..., so we get
CDE.FGAB....CDE.FGAB....
XXX.XXXX...
At first that seems very different from our 7 tone transposition. We only need one sharp and they need 23 flats! But wait...mod 12 we have -23 = 1.
It turns out for all transpositions if you count sharps in your key signature as +1 and flats as -1, the key signature for a transposition by N tones will have 7N sharps or flats mod 12 in both our systems.
In general if you have a T note equal temperament scale with an M note subset major scale, transposing the major scale up N tones gives a key signature with NM mod T sharps/flats.
I'll leave it as an exercise to prove that. Hint: you can think of a transposition as a two step operation: (1) a shift that keeps the same letters and just adds sharps or flats to move the notes, and (2) a renaming that changed the name you use to name the first note of the transposed scale. Think about what each of those operations does to the number of sharps and flats needed.
Only in 12TET.
Almost all sheet music that you play uses 5 or 7 unequal subdivisions of the octave, and occasionally the rest. Sure, sometimes you'll have one or two of the rest on a regular basis (blues, harmonic/melodic minor), but still most music won't use all twelve.
I don't really know a thing about music, so I could be wrong here - but that mental model at least made some sense to me when I tried to map all the concepts I've heard about into some sort of a mental system.
At least in western music you pick the seven basic notes on the scale, and that gives you the sharps and flats you place at the beginning of each line. That choice, from the point of view of notation, is even more important than the exact scale. And the choice is constrained to 15 sets of sharps and flats because it implicitly tells the player (veeeery roughly) to expect some patterns that probably will occur.
It doesn't always work great, for example if you want to write the Simpsons theme the set of notes in the scale doesn't fit any of those 15 sets. But it uses an unfamiliar scale in any case, so there's not much to gain and as a player you just deal with it.
See around 32:30 in https://youtu.be/Eq3bUFgEcb4?t=1950
Nope! Just the same old, well beaten, rotting corpse of a horse in the form of a musical theory that entirely exists to prop up schenkerian analysis. The one that that racist, elitist music programs have been teaching since well before the 21st-Century. (The way you can tell is because it includes figured bass, which is totally irrelevant to any discussion that isn't about the harmonic style of 18th century european musicians.)
God forbid I want to, oh I don't know, make music that's similar to the kind that I actually listen to on a regular basis? Better understand its underpinnings and what makes it work in the ways that it does? No. Figured bass.
Are you this guy? https://youtu.be/u2NKodxRO4A?si=xdOd7I1f_rnFN85C&t=255
“Writing about music is like dancing about architecture.”
This seems like a great resource to me, a classically trained pianist who is now playing different types of music.
Example: https://musictheory.pugetsound.edu/mt21c/DiatonicChordsInMaj...
I'm sympathetic to that view; I spent all evening writing electronic music by programming it into a sequencer and spent a lot of my early career (starting in about 1999) programming using a piano roll.
But "easier for what purpose"? It'd be really tough to read at a gig off a piano-roll.
It took a long time to become comfortable with the fact that standard notation is mostly a suggestion that doesn't contain the years of context I need to get through a big band gig on double bass... but once I realized that my ability to sight read got good enough that I stopped wishing there were some other kind of notation to read.
Same with staff notation: If you want to communicate music to other people, learning the slightly clunky but universally-known written language is generally the way to go.