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I've been playing around with a new kind of isomorphic music keyboard that uses a base-12 notation, and wanted some sheet music to learn some new music for it.The idea is to represent each note in 12-TET as a number, so N ∈ (0,1,2,3,4,5,6,7,8,9,X,Y).I used codex to build a music score rendering backend based on MuseScore with custom note heads that display the pitch class of each note.I've found it pretty helpful for learning how to play my own instrument, so wanted to share in case anyone else was interested.

39 points by jmole - 28 comments

28 Comments

munch-o-man [3 hidden]5 mins ago
I like the technical fun of it, but no musician is ever going to give a crap about this. We have hundreds of years of the evolution of music notation and it is pretty comprehensive. Just because there are only 12 unique notes in western music doesn't mean base-12 to notate it makes sense....that completely strips out context of what you are playing.

For example...in the key of aminor when you make the five chord major to create a resolution back to i (aminor) you raise the 7th scale degree. That means the G becomes G#...Ab is the same pitch but writing it that way is wrong. An EMajor chord is spelled E G# B, not E Ab B. Now if you spell that as 9 0 4 you have stripped all context out of the music. Musicians aren't just player pianos, they analyze the harmonic structure of the music the inform phrasing, shape, tone, volume, and pacing (acelarando, decelerando, ritardando, etc).

Whenever I see something like this trying to reinvent standard notation I feel like it is usually from somebody who can kind of play an instrument but can't read music or can't read it well because they haven't put the years of work it takes to be a proficient sight reader and they haven't studied harmony/music-theory.

One of the most important things about musical standard notation is that it is - standard - you can hand it to any musician on any instrument and they can make sense of it quickly. It is a skill that takes a lot of practice but it is what allows musicians who have never met each other to be hired for a gig and show up and play together without ever rehearsing.

This approach won't teach you to "see" music either. It forces pure mechanical number memory....you won't see harmony and be able to quickly notice that - for example - a line is just moving the chord up in inversions and since you know harmony and your chords you can sight read that part without ever even reading every individual note.

But still a cool idea from a hobby perspective.

throwforfeds [3 hidden]5 mins ago
I actually was typing up a similar response -- as a very basic example, if I'm playing and I see a ii-V coming up, that's communicating information about what scale I'm likely going to be choosing from to inform my playing. By just giving me tuples of data disconnected from key centers I'm losing all the harmonic information about a tune, which honestly is the most important information for me as a piano player.

The notation isn't just showing me what buttons to press and when -- that's almost the least important part of the notation. What it is showing me is how everything is moving in a tune, which allows me to make decisions inside of it, and I'm not sure a base-12 notation like this is even capable of expressing that.

It's totally understandable for a beginner to want to make something like this though, because that context of harmonic analysis doesn't really come into play until years later.

cush [3 hidden]5 mins ago
I think about this any time a software engineer thinks they're helping Deaf people when they build some AI thing to see/speak finger spelling thinking they're interpreting ASL. Like just ask your customers what they want
InsidiousWombat [3 hidden]5 mins ago
> For example...in the key of aminor when you make the five chord major to create a resolution back to i (aminor) you raise the 7th scale degree. That means the G becomes G#...Ab is the same pitch but writing it that way is wrong. An EMajor chord is spelled E G# B, not E Ab B. Now if you spell that as 9 0 4 you have stripped all context out of the music. Musicians aren't just player pianos, they analyze the harmonic structure of the music the inform phrasing, shape, tone, volume, and pacing (acelarando, decelerando, ritardando, etc).

I feel like those are idiosyncrasies that feed into eachother i.e. you need to have 2 notations for same sound just because other decisions made it so there is no extra info passed other than in b vs #

So alternative notation could still make it clearer/"mathematic" but would essentialy need to include all of that, and for that as you said, you need people with wide experience about music and for them, they already are fine with standard notation so for them it wouldn't be an improvement because nicer learning curve doesn't matter once you learned it.

Classical keyboard layout is kinda similiar in opposite way here; beginner can just slap some white keys and get something musical and they can learn from there, while various chromatic keyboard layouts might have some nice benefits (chords being "same shape" regardless of where you play them), it is harder to start on it.

mrob [3 hidden]5 mins ago
>An EMajor chord is spelled E G# B, not E Ab B. Now if you spell that as 9 0 4 you have stripped all context out of the music.

True, but it's not a fatal flaw of the notation, because you can annotate it with written chord names above the notes. This is common in guitar tabs (which are almost isomorphic in standard tuning, and fully isomorphic in regular tunings).

ta2112 [3 hidden]5 mins ago
I give a crap about it. It looks like tablature for an isomorphic keyboard, which seems kind of useful for learning, assuming you have like a Lumatone or a Janko Piano keyboard. There's similar keyboard challenges for instruments like Bandoneon that benefit from learning apps like, like https://bandoneon.app/. For my own current work, I've switched from Classic to Modern Notation in Dorico because there are so many alterations in jazz voicings with a constant stream of key changes that it just seems easier to wipe the key signature clean and alter everything. Also, I've heard that's what they do in movie scores where it's important to get things right in as few takes as possible. Blargh, now I'm rambling. I'll allow it.
analog31 [3 hidden]5 mins ago
Does modern notation just mean no key signature and all accidentals?
sublinear [3 hidden]5 mins ago
You also unintentionally made a very compelling argument against vibecoding and treating software as a means to an end!
functionmouse [3 hidden]5 mins ago
yes but perhaps we should improve society somewhat
munificent [3 hidden]5 mins ago
So many software nerds get nerd-sniped into trying to invent their own music notation. I have almost succumbed to that temptation myself. Someone should make a version of https://www.mcmillen.dev/language_checklist.html for this.
altruios [3 hidden]5 mins ago
This is a system that indicates the lack of information about why the current system (which, admittedly is a mess) is the way it is. This is removing Chesterson's fence without understand why it's there.

A point: one improvement to this system is if the tonic note is always 1. I don't hate the idea of number inside the notes, but as it is currently, its not only useless, but actively making things more difficult to parse.

Having the tonic, the 3rd, the 5th, the 7th... that might make things easier to sight-read. Might.

The current notation is a hodge-podge of compromises of rhythm, legibility, page to music ratio (efficiency of page turns), pitch range, and dynamics. Nothing in music can ever be 'perfect' (the cosmic joke). And without the history of how any why the current system came to be, 'disrupters' are just people who don't know their own ignorance. Even still, sometimes there is value added. Rare as that is.

SwellJoe [3 hidden]5 mins ago
People who know Nashville system are gonna struggle with that.

Am I understanding correctly that it always starts on C (C==0)? Seems like key changes will be hard without computer assistance, I mean, you could have your chart update on the fly if you're using a tablet, but paper charts will be hard to transpose on the fly.

I do think now is a prime opportunity to get away from traditional notation for folks that want it, since transcription to a new notation is trivial now, even for paper charts, where it once required a lot of human effort. And, isomorphic is very appealing.

But, this feels like it doesn't come from the perspective of a musician who plays from charts? Musicians think in relationships, not absolute notes, and this kind of obscures those relationships. I'm not really arguing that traditional notation is optimal, it takes a lot of knowledge and practice, and I've never invested enough time to be good at it, but I don't think this really resolves the pain (you still have to know traditional notation to be able to read it) and adds something that isn't based on musical relationships and maybe even makes those relationships harder to see for a trained musician. To a musician the numbers they know are scale intervals; a "7" here is a "5" (perfect fifth) to a trained musician and a "4" is a "3" (major third), but only in the key of C, otherwise it's...not anything you can memorize, you gotta do math.

It's fun to tinker, of course, and I'm not trying to shit on your idea. Just pointing out why I wouldn't find it helpful. As a musician, who isn't all that great at reading traditional music notation, I find the numbers distracting. It adds to an already noisy and difficult to read thing, one more thing my brain is trying to translate into something my fingers know how to do.

mrob [3 hidden]5 mins ago
I like the use of base 12, but IMO it's somewhat wasted on a diatonic staff. This is basically just traditional notation with special coloring to make it easier to read. To better match the keyboard, I'd rather use an isomorphic staff (a.k.a. "chromatic staff", although I dislike that name because it implies diatonic music as a default).

There's a web site you might be interested in with many examples of isomorphic notation at:

https://musicnotation.org/

amavect [3 hidden]5 mins ago
Wow, I wish I had this when I learned to play. Keys, clefs, and accidentals felt like a hazing ritual, completely accidental (hah!) complexity. I always hated that I couldn't read the treble instrument parts at sight-reading speed simply because the sheet music used a different clef.
TonyTrapp [3 hidden]5 mins ago
Great video by Tantacrul about all the other previous attempts at "fixing" music notation, well worth a watch: https://www.youtube.com/watch?v=Eq3bUFgEcb4
PCChris [3 hidden]5 mins ago
Looks like you've either come across or independently reinvented pitch classes! https://en.wikipedia.org/wiki/Pitch_class
bennettnate5 [3 hidden]5 mins ago
It took me a while to understand what the numbers were actually trying to indicate (in part because I'm used to numbers in sheet music being suggestions of which finger should play the given note). If I understand correctly now, are you numbering zero-indexed with C as the beginning (0) and B as the end (Y), as a proxy for remembering which key notes are meant to be played in?
jmole [3 hidden]5 mins ago
That's right - so a major triad in C would be (0-4-7), or a B-flat minor triad would be (X-1-5).

It's not required that the pitch notation is absolute though, e.g. you can transpose the numeric notation to any key (e.g., use A == 0 instead of C ==0)

skybrian [3 hidden]5 mins ago
I think you’d be better off with something compatible with an existing system. Perhaps start with nashville numbering and add accidentals?

https://en.wikipedia.org/wiki/Nashville_Number_System

sfpk [3 hidden]5 mins ago
I was working on a similar idea, I grabbed 2x PartyKeys and I was going to map each key to a finger ( left-pinky = orange ), but the API is such that -- if you have two boards (72 keys) and send a msg to a single board ( 1st key = orange ) -- it lights up both 1st keys (there's no way to address a single board). Was disappointing.
erelong [3 hidden]5 mins ago
relatedly does anyone have a tool to generate piano synthesia videos from sheet music, maybe with or without AI? They seem fun to play along with. (I'll just look it up, commenting to share the idea too though)
archonis [3 hidden]5 mins ago
Site is illegible on mobile.
jmole [3 hidden]5 mins ago
Sorry about that, it's fixed now.
BalinKing [3 hidden]5 mins ago
What does "isomorphic" mean?
jmole [3 hidden]5 mins ago
Iso - same, morphic - shape.

Basically it uses a regular pattern of keys, instead of staggering keys into pentatonic and diatonic scales, like a piano does.

This makes it harder to "find" the diatonic scales, but easier to transpose between different keys.

You can see an example here: https://www.youtube.com/shorts/kMD1qXtDAdg

mrob [3 hidden]5 mins ago
It's also easier to learn because there's one consistent mapping between notes on the page and the sound, instead of many different irregular mappings specified by "key signatures".

But traditional notation is more compact, and for music based around diatonic scales, implies information about the harmonic function of notes that could be useful for interpretation.

TheOtherHobbes [3 hidden]5 mins ago
It's harder to learn because fingerings are based on key notes and transpositions around that.

If the key is G you don't start with your hand on C and move it up to G, you start on G and move it relative to that root.

This matters because over/under moves usually happen at certain scale points. So if you learn the scale you have good chance of defaulting to the most efficient movements with muscle memory.

If you're referencing everything to C you'll never understand the scales and their different fingering patterns.

Anyway, here's Martha Argerich playing Prokofiev's Toccata. (What happens around 3:14 may be illegal. But here we are.)

https://www.youtube.com/watch?v=v0fv5HKYn7k

mrob [3 hidden]5 mins ago
But on an isomorphic keyboard you can just move your hand up or down and use the exact same fingering. You only have to learn how to play the scale once, not a different way for each key. You don't reference it to "C", you reference it to the first degree of the scale, and the key doesn't matter. IMO, the traditional keyboard has been obsolete ever since the Jankó keyboard was invented:

https://en.wikipedia.org/wiki/Jank%C3%B3_keyboard