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Posted by aanet 17 hours ago

Music Theory for the 21st-Century Classroom(musictheory.pugetsound.edu)
227 points | 97 commentspage 2
IvanK_net 16 hours ago|
Am I the only one who thinks that the classic music notation is 3x harder to learn than the basic music theory (without the rules of notation)?

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

Hunpeter 15 hours ago||
This is a bit off topic, but since you mentioned your guide: I hope this doesn't come off as hostile, but the guide you linked contains a number of inaccuracies and oversimplifications - it's kind of naive in an endearing way, but also leaves the reader with the impression that it covers all there is to music. I guess what I'm saying is it's fine to restrict yourself in what you include in the guide, or even simplify things, but it should be clear that the topic (i.e. music) is far richer and more complex.
tracnar 15 hours ago||
To give an example, this it of course not true:

> Only a limited set of frequencies is used in music. All these frequencies (that exist in music) can be played by a piano.

strenholme 11 hours ago|||
Yeah, I think a good discussion on music theory is starting from first principles, explaining Pythagorean tuning, then explaining 5-limit just intonation, the explaining we compromised on 12-tone equal temperament because it made tuning and changing keys a lot simpler, at the expenses of some notes being slightly out of tune (e.g. the minor and major thirds deviate by about 15 cents from their 5-limit just intonated “ideal” tunings).
PaulDavisThe1st 15 hours ago|||
You're saying its not possible to tune a piano to an arbitrary set of 88 pitches?
organsnyder 15 hours ago|||
Of course you can, but that's not what's implied by the quote.

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.

BigTTYGothGF 14 hours ago||
Also quarter step bends in guitar and vibrato in general.
BigTTYGothGF 14 hours ago||||
That's clearly not what was meant, even without the context of this following bit:

> 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).

jpitz 15 hours ago|||
there are absolutely pitches that an arbitrary piano cannot be tuned to. it is also non-trivial to tune a piano.
waffletower 13 hours ago||
https://www.modartt.com/pianoteq_overview :) Very high quality and affordable software modeled piano. It is rather easy to tune via Scala KBD formatted files.
totallymike 10 hours ago||
Not a piano, and not relevant to the parent remark.
bonzini 16 hours ago|||
https://youtu.be/Eq3bUFgEcb4 explains why music notation is the way it is. There are very good reasons for it.

The parts that are really weird (like the C clef) have mostly been obsoleted, unless you play the viola I guess.

jerf 14 hours ago|||
It kind of reminds me of the periodic declaration someone makes on HN that textual programming sucks and we all need to switch to something else, usually visual programming in this case.

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.

TheOtherHobbes 14 hours ago|||
Exactly. Music theory is a programming language for musical composition and performance.

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.

jaggirs 14 hours ago|||
Have a look at http://terpstrakeyboard.com/about/ and the janko keyboard

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)

song_synth 15 hours ago||||
love that video, it made me lol so hard the first time I saw it :D

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)

https://monictheory.com/project-templates

PaulDavisThe1st 15 hours ago||
Note that in historical Byzantine musical culture, there are no absolute pitches at all. Their notational form is entirely intervals from some arbitrary root note.

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).

aanet 14 hours ago||
^^ THIS

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...

song_synth 13 hours ago||
much love for the Just Intonation in the house
bitbckt 10 hours ago||||
As a semi-professional trombonist, C clefs are very important to me. Alto and tenor as-written, tenor as a means of transposing Bb treble, mezzo-soprano as a means of transposing F parts… they are not obsolete.
bonzini 6 hours ago|||
Yes, I did write "mostly". Sometimes the bassoon uses the C clef as well. Still, overall it can be safely ignored in most cases.
totallymike 10 hours ago|||
My favorite genre of hacker news comment is when someone lacks sufficient imagination to wonder why something that’s commonly used by many people is still in use
bonzini 6 hours ago||
FWIW, there's no real need for imagination here. The comment says "mostly", and added a parenthetical comment that was simply meant to name the viola as a prominent remaining use.

In particular, trombones have almost entirely stopped using the tenor clef in jazz.

jaggirs 15 hours ago|||
I suppose it makes historical sense, and even ingeniously designed.

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)

BalinKing 14 hours ago|||
> 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 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.

jaggirs 14 hours ago||
Easier on the fingers - maybe (I don't know what you reference), but not easier on the mind: Instead of learning each chord once, you have to learn it 12 times (for each key).

See http://terpstrakeyboard.com/about/

PaulDavisThe1st 15 hours ago|||
I have some great news: you're a nerd ! :))

... or is it geek, i can never remember the difference ...

kian 14 hours ago||
It's all about the integers modulo 12. Classical notation obscures that (while making it easier to figure out which of the integers modulo 12 you're using, minus being able to assign them to integers in an obvious way).
tzs 10 hours ago|||
I fun little exercise is to work out what would be different if we found aliens that also used 12 tone equal temperament, and also used a subset of 7 of those 12 notes to make their major scale, and also followed the same convention that we do of naming the notes of the major scale C, D, E, F, G, A, B like we do and naming the other 5 by naming a major scale note and adding modifier to tell how far away the not is from that like our # and b modifiers, and we both have the convention that when naming the notes of a transposed major scale we use each letter exactly once--except they picked a different 7 notes to be their major scale.

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
Suppose the aliens have a very different idea of what makes a good sounding major scale, and their system is:

  CDE.FGAB....
Suppose we transpose ours up 7 tones. We can represent this graphically by drawing out major pattern for two octaves, and below that drawing our major scale pattern with names replaced by X (X.X.XX.X.X.X) shifted over by 7, then look above to see how to name the notes (remembering we can only use each letter once):

  C.D.EF.G.A.BC.D.EF.G.A.B
         X.X.XX.X.X.X
Our major scale transposed up 7 is G A B C D E F#.

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...
That's B Cbbbb Dbbbb Ebbb Fbbbb Gbbbb Abbbb.

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.

BigTTYGothGF 14 hours ago|||
> It's all about the integers modulo 12.

Only in 12TET.

kian 14 hours ago|||
24, 128, approach infinity -- I know there are microtonal systems, but if you want to understand them, choose the nearest multiple-of-twelve (or really, choose whatever TET contains the closest approximations to the exact notes) TET and look where their intervals land with respect to the symmetries (factors) within that TET, and where those symmetries are broken by a note moving by a perceptual 'slide' (one note 'moves' into the other position) rather than sounding like a new distinct voice.
bonzini 13 hours ago||
More like, only if you're playing Schoenberg it's about modulo 12.

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.

drdaeman 13 hours ago||
Isn't modulo-twelve (if we ignore microtonal) the core underlying structure, and then you pick scale (like 2 2 1 2 2 2 1) and a key as a mapping, and then use degree as an 1-based index into the scale?

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.

bonzini 12 hours ago||
The point is that to a player the mapping is more important than the core 12-note structure, because highly chromatic (12-note) passages happen but they are the exception.

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

Eduard 16 hours ago||
didn't find a single audio file; only links to unaffiliated YouTube videos which want me to watch ads first.

“Writing about music is like dancing about architecture.”

mcbuilder 15 hours ago||
I feel that quote more likely is pointed at "music appreciation" as a written work, versus understanding the theory. I know a few musicians who are happy to use terminology from theory, "I love to write songs with diminished and sustained chords".

This seems like a great resource to me, a classically trained pianist who is now playing different types of music.

aanet 15 hours ago|||
There are several music samples in there...

Example: https://musictheory.pugetsound.edu/mt21c/DiatonicChordsInMaj...

rc5150 15 hours ago||
skill issue.
larodi 14 hours ago|
Music theory for the 21st century with notation from several centuries earlier. Hmm.... sorry but tracker's table-like views are much easier. And so are most DAWs gantt-like editors. 100 times easier to comprehend than notation having the same not written in three different ways, and then some.
dfltr 14 hours ago||
The English language is messy as hell, and yet, here we are using it because it's a shared set of rules and symbols that pretty much everyone who wants to join in on this conversation already knows.

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.

nwatson 13 hours ago|||
The choir director at my church, Michael Dodds (UNCSA), covers the early development of musical notation, "From Modes to Keys in Early Modern Music Theory" [0]. Currently on sabbatical at Cambridge. Once in a while during rehearsal he will give an impromptu lecture on music history, always interesting.

[0] https://a.co/d/0bLcrlyE

larodi 1 hour ago||||
No, English language is easy as sh... as piece of cake. A lot of it is marginalized French tbh, sorry, no offense, and the English in the USA is further simplified. You think tis difficult, because you never tried Russian, French, or Mandarin - then we discuss again. Had it not for the simplicity of English Language, it wouldn't be so omnipresent. So you are so wrong on this account.

And I really want to see you communicate wobbling bass or fast random notes. Well you can - in Studel.cc - but is impossible in this notation. Same for complex drum sections (as in dnb, yes), and I can give you fair amount of other examples where medieval notation is useless.

odyssey7 13 hours ago|||
> learning the slightly clunky but universally-known written language is generally the way to go

A certain Amazon Web Services comes to mind…

Lio 2 hours ago|||
DAWs have been around for a few years now. If you were right and they really were 100 times easier to comprehend people would you not see people using printouts of piano rolls to read from?

What you’re suggesting is actually hundreds of years old from well before the existence of computers or DAWs but still no one is using it.

It turns out that judging the relative length of lines is difficult at speed compared to reading distinct symbols.

Also that 88 note piano rolls are a very space inefficient way of representing music on a page. Even a chromatic stave would be inefficient.

That really matters for people that want to sight read with other musicians and have as much viewable as possible in a compact area.

Finally, standard notation is very rich and evolved, as you’d expect for something in active use for so long. It has extensions for lots of instruments.

When people say notation can’t show X it’s usually that they just don’t know it can.

The only downside is that you have to learn it.

larodi 1 hour ago||
Because people doing piano have never seen DAWs, or never tried to use them? Because computers are bad, and piano is good. What a nonsense! And I've heard this argument hundred of times, and then at the end most music is produced/recorded/mastered using DAWs.

I have friends who have actual degree in music composition from actual conservatories, so most of them, professionals, who actually compose and produce actual music for movies, for games, for whatever you want - well all of them use DAWs and all of them are on Ableton or Logic or something along the line, and exactly ZERO of this nonsensical notation that takes more effort to master than music itself.

Most of the new music that gets composed is written in gantt charts or tracker rows, believe it or not. Dig around, and you'll find out.

Lio 38 minutes ago||
Haha! I've been using Ableton since 2007, it's not something new or secret.

You can use a scrollable chart to display notes on screen and still want printed music for live use.

I'll bet you that if your friends are professionals and using live musicians to play their their compositions then they are distributing music to them in notation form not screenshots of Logic gantt charts.

There's nothing "nonsensical" about notation, it just serves a different purpose to a DAW screen.

If you want to read from paper and play what you read in real time, a Gantt chart is harder to use not easier. Use the right tool for the job.

scarecrowbob 6 hours ago|||
It would be really hard for me to improvise a clarinet solo based on the melody line in that kind of notation, which is something I have to do pretty frequently in my old style jazz band using fake books.

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.

larodi 1 hour ago||
Sorry, brov, but improvisation is not "following a notation", but exactly the contrary. And perhaps you should try to once in a lifetime use a DAW, I bet you may find yourself amazed by how easy it is to actually read these squares.
odyssey7 14 hours ago||
I’m sympathetic to this viewpoint, but most music students in the classroom will be playing instruments or singing rather than working in DAWs.

The instruments, music, and notation all evolved together in a shared tradition that make them well-suited for one another.