We could be teaching notes to children objectively like how we teach colors, but we're not.
We could be teaching notes to children objectively like how we teach colors, but we're not.
Mapping twelve letters onto a piano keyboard would then look something like this:
B D G I K
A C EF H J LA
Which means an A major scale in this notation would be ACEFHJLA, which is actually less intuitive than understanding the circle of fifths etc. and arriving at ABC#DEF#G#A (to use this universe's notation)Well, there is a number of "objective" factors which play a significant role. For example, see: https://www.youtube.com/watch?v=tCsl6ZcY9ag
In my system (A though L, or more simply, 1 through 12), you simply add 2 to each note. It's easier to work about and isn't as rigidly defined by the culture it came from.
And that's before even getting into completely alternate approaches, or how strongly harmonics affect perception: https://www.youtube.com/watch?v=VAgXpCK_4gA or https://www.youtube.com/watch?v=AZ8qZCGg4Bk
(maybe to clarify: there are objective aspects, in that sound is measurable. but there is nothing like a "grand unified theory" that covers all music, nor are roughly any of the popular ones internally consistent - it's far, far too varied for that, and physics often doesn't allow the desired consistency, causing more variety)
Sure, if path dependency was were not a thing, this might make more sense. But it takes an extraordinary amount of time to really get good at music and you don't want to be the only person who speaks a completely different language to the people around you. So it makes sense to stick with what everybody speaks.
I've found that engineer types tend to immediately bristle at the weird parts of how notes are named because the system seems really kludgy until you realize that there's actually a utility in the weirdness - namely, that scale patterns look roughly similar in any given key and so sight reading is counterintuitively easier with the current system than it would be in a system which assigned a different position on the staff (or a different name) to each note.
Furthermore - we have seven note names because there are seven notes in the major scale, so changing this count would definitely not make sense.
To be clear there are definitely warts in the current system, lots of confusing stuff around enharmonics. But there's definitely babies in the bathwater and any alternate system would not want to toss them out.
The first-approximation engineer realization about music (which I suspect the GP is going off of) is "okay, there are 12 notes in the chromatic scale, each octave doubles frequency, therefore the frequency ratio between two adjacent notes is the 12th root of 2 and we should just have 12 names for the notes". This is what's called an "equal-tempered scale"; the gap between each note is the same ratio, and you have a simple geometric progression upwards.
Except we don't actually have an equal-tempered scale. If you try to play on an equal-tempered scale, it'll sound subtly "off", and certain chords will result in "beats" (pulsing) where the frequency ratios are off just enough to cause an unpleasant modulation in loudness.
The modern diatonic scale is based on the circle-of-5ths [1], where the fundamental ratio is the 5th at 3/2 the frequency. It works like this because now chords are an even multiple of frequencies, while you would get an irrational number with the equal-tempered scale. Going up from the root (C), the next 5th up is G at a ratio of 3/2. Then you go up to D (9/4); when you reduce this to lowest terms because you've ascended a full octave, it gives a ratio of 9/8, which is one whole tone above. Next 5th up is A (27/16), which is the ratio in frequencies of a 6th. And then you get E (81 / 32 = 81/64), a major 3rd. And so on. The frequency ratios of the diatonic scale come from repeatedly reducing powers of 3/2 to lowest terms after dividing out the octave.
On a side note, both Wikipedia entries reinforce my original point that the mathematics of this is fascinating.
>That's why symphony orchestra players will often have a different flute, clarinet, or oboe for different tunings. Not sure what you are referring to here? Clarinets don't come in different "tunings" unless you mean different keys - like Eb or Bb clarinet, but those aren't there for intonation, they play in different ranges of pitch than one another.
Edit: in addition, you don't HAVE to equally temper a guitar. You can choose just intonation. The problem is that you can only have just intonation on a single KEY for that instrument. So if you tune justly to C major, a key like B major, will sound horrendous!
Wikipedia has an entry for well tempered as well https://en.wikipedia.org/wiki/Well_temperament
There's a lot to hate about musical score, but the A-G notes and sharps and flats aren't all that bad once you realize that everything is based on the 7 note diatonic scale. In C major, it's just the names of the letters with no sharps or flats. On the piano, C major is just the white keys, which will get you pretty far--tons of songs are in C major. You have to remember B-C and E-F are the short intervals, and memorize the 2-2-1-2-2-2-1 semitone pattern, but after that, a lot follows. Then minor is just starting a different note in this pattern, as are all the other modes. There are other scales too, but this one main pattern is going to cover 98% of all music you run across.
There's a huge amount of stuff that gets unlocked when you just give up fighting the standard and instead learn to go with it. Music is a language, and the way we write it down is maybe a little suboptimal, but then again, the "optimal" way to write it down has a maximum on how much better it could possibly be.
I do have a beef with the notation for rhythm, because as it is, the standard musical notation is just a shorthand form for fitting more music horizontally. For computer-based music, I find it a lot easier to follow a display where horizontal length is proportional to time. We've got infinite screen space, so no need to compress anymore.
He’s product lead at MuseGroup developing notation software and his expertise lies at the intersection of music composition, UX design, and programming.
Western notation makes sense once you know the circles of fifths, but the specifics of the notation is not really what is holding people musically.
Do you mean trying to teach all children perfect pitch even though society has no expectation of that? Unlike knowing at least your primary colors which is expected of everyone. I suspect that could be unnecessarily stressful for many.
Or do you mean as some kind of metaphor or analogy? If the latter, I think it would be quite confusing as there are aspects of vision and hearing that are quite different. Pitch classes have no analog in vision that I can think of. Color vision is roughly 3 dimensional but sound is not. The aspects of timbre don't map to color.
I think that understanding music theory does require work. It emerges from physics and physiology and a very long history including a bunch of culturally specific things. Did your ancestors make music with long skinny strings or pipes with nice integer-ish overtones? Here are some tuning systems for you (among them the set of C-D-E-F-G-A-B you mentioned). Did they use bells or gongs with decidedly non-integer ratio overtones? Here's a set of different systems for you!
Anyway, if you have a mapping/analog/metaphor you think is useful between music or sound and color I would be interested to hear it / see it!
The problem as others have pointed out is that most musicians in the west already know some degree of western notation, so if you're collaborating, you'll have to translate back to western notation at some point. Even if you invent the perfect notation, it's like asking everyone to switch to esperanto because english grammar is flawed. And you'll still get people defending english "well actually, it's like that because the greeks blah blah blah".
My favorite music notation flaw is C flat. It's a hack. It's an ugly fucking hack and anyone who defends it is defending an ugly hack. The only reason it and double flats exist is because there are some key signatures (this happens with hungarian minor sometimes) where you end up needing to define 3 notes in the span of one space and one line on the staff, and you can't, so you have to borrow from an adjacent space or line. And so sometimes that C is actually a B. It's super annoying but uncommon enough that it's not worth everyone learning a new notation.
Anyway, don't let the nay sayers stop you from learning music however makes the most sense to you. Have fun
American teachers were horrified by this idea when I was a kid. But the Suzuki method has been successful, and I think it has raised the level of playing overall. Many famous musicians self-identify a "Suzuki kids." On the other hand, many of them admit to not being the strongest readers, but reading takes practice. You can also pick up repertoire by following the sheet music while listening to a recording. Like many skills, it fades if it isn't used. I'm fortunate to be a fluent sight-reader, but not a virtuoso.
In my view the notation is what it is. Changing it would be hard. "Standard" notation creates a kind of symbiosis between composers and players. If a composer uses a nonstandard notation, nobody will play their stuff. And the standardization is why musicians can learn the skill of reading.
https://en.wikipedia.org/wiki/Solf%C3%A8ge might be easier for some people.
Haven't heard about CDEFGAE up until I was in my mid 20s trying to learn guitar (after 7 years of music school and musical calsses in regular school)
As for your point about A->B being a larger interval than B->C. There are two half-steps in the white keys (B->C and E->F) because there are two half steps in the major scale! This way, you can play C to C with all white keys and get a major scale.
A major scale is probably one of the most fundamental building blocks in western music theory and it's encoded right onto the keyboard layout itself.
The oddities of music theory are no more strange than all of the strange things in the English language that we just shrug about and move on once we learn it.
For example: 12 tone equal-temperament was chosen/invented (nearly) (by Bach) over just intonation because of 'musical gags' like https://en.wikipedia.org/wiki/The_Musical_Offering (also written by Bach).
Music making neat, orderly, mathematical sense is the struggle, and reality doesn't play nice with harmonics like we would like... (much like with irrational numbers throwing a wrench with Pythagoras' ideals) so stop being a Pythagoras :p
Music IS weird: no matter how you try to quantify it.
You can tell that this wasn't equally tempered because composers talked about the "color" of each key, a concept that doesn't make sense unless the keys sound different.
Also, in your own color analogy: we have a small number of main color names, then a bunch of in betweens.
Western music theory has evolved over literally thousands of years. You can put a very rough start of it to Pythagoras, around 550BCe ish, which gives us 2,500 years of evolution and refinement.
But even if you want to start with the popularity and adoption of the major scale, that was around 1500CE ish, which gives us a solid 500 years. It handles many, many corner cases quite gracefully.
It undoubtedly has its quirks, but any notational system for this will also have its quirks (cf, the difference between systems of intonation). There is just no way around it.
I tried many times to "understand" music rationally, because I kept people use the term "music theory". I reached a conclusion that there is no "theory" whatsoever: music notation is a hodgepodge of various traditions stacked one on top of the other (we started with 8 notes but then realized that 12 would be better, for example, hence all the mess with flats and sharps). I actually feel better now knowing that you just have to accept it for what it is and go with the flow :-)