Rhythm and structure, algebra and arithmetic, concreteness and abstraction

Erica Sipes of Beyond the Notes is rolling around an interesting topic on Twitter at the moment, that of why in her experience so many people seem to have problems connecting with rhythm and are almost fearful of it. I’ve been mulling it.

I tend to compare music to math and language a lot, so it’s natural I guess that I’d see this in that light. Both math and language have structure underlying the actual words and numbers.

For example, you can diagram a sentence — illustrate the grammar underlying the words by putting the words into a tree structure. It turns out that when you do that, you reveal that there’s far more to any sentence than just the words themselves. There’s a whole tinkertoy structure underneath the whole thing, invisible but essential. You can diagram a sentence and then erase the words, and still have something vital sitting there that will tell you way more about that language than just whatever that one sentence was talking about.

Same with math — start out with simple arithmetic, something like 7+4=11. When you erase the numbers, you wind up with algebra: x+y=z. Again, it turns out that there was structure underneath those concrete numbers the whole time that is a vital part of the whole understanding, and the vast majority of mathematics lies in grasping that invisible structure — and many others!

I think that worrying so much, as classical musicians tend to, about the real, actual notes keeps students from seeing the underlying structure. Linguists and mathematicians are okay with putting their words and numbers on a tree structure, placing them relative to one another, and then wiping out the actual words and numbers and manipulating the structure itself. They seem to be more comfortable with a certain level of abstraction whereby the invisible structure is as real — or realer — to them than the actual words and numbers. They’re okay with that. Like Saint Exupery’s Little Prince, they regard what is invisible to the eye as more essential than the things you can stub your toe on. They (we, really — I know I’m like this) often regard the words and numbers as merely bits of lint the main function of which is to reveal to us the shape of the structure they attach themselves to.

Music students don’t have this attitude. They live and die by the notes. They are encouraged to live and die by the notes. Hence, making out the invisible structure behind the notes involves letting go of something that they have always seen as their one and only calibration point. As far as they’re concerned, their worth as a musician, and possibly their worth as a human being, relies on keeping a death grip on those notes.

The problem?

Rhythm lives on the invisible structure.

If the students can’t see that structure, they can’t sense the rhythm naturally.

And in order to perceive the structure, they have to relinquish their death grip on the notes.

(I think this is a big part of why improvisation is so useful — not just to get over fear of mistakes, but to help perceive the things that you can perceive in music once you do unclench your hand, rhythm being one of them.)

Now, there are up and down sides to these attitudes. I’ll never be a fussy soloist, and I was never qualified to be one. The notes mean less to me than the abstract structure, so a clinker every now and again is to be expected, as long as the abstract representation of the piece on paper is clean. This is part of why I’m going nuts with the recording process; the “who cares about a bum note here and there?” attitude is not acceptable once you plug something into AUX OUT. The audio recording now has to stand in for the sheet music, and well … the sheet music is 100% perfect, no clinkers, no pops or hisses, no skips or compression issues. As someone who regards abstraction as more real than reality, I resent having to be so detail-oriented about one transient representation of a piece. I will never be detail-oriented enough to make an acceptable performing classical musician.

And people who are concrete and very fussy about quality of the actual notes, who might have more trouble with the underlying structure or even dislike it (as many performing musicians dislike music theory), may make better actual performers since they are focused on the quality of the actual notes. (Although I reserve the right to go o_O at violinists who sound good and yet have no idea at all what key they are even in. Come on.)

Every person will probably lean more to one side than the other. An awful lot of professional orchestra musicians (who live and die by the notes) outright hate music theory, yet I’m reminded of Beethoven’s famous quote that a wrong note here and there means nothing, which indicates that composers may be more more worried about getting it right on paper; clearly composers are not likely to win auditions playing their own pieces.

And I think youngsters are more likely to focus on Getting The Notes Right as well, especially since they’ve spent their lives from the age of 6 immersed in an environment where grasping fine points of concrete detail matter far more than abstraction, and where authority figures will mark them down for getting the wrong answer no matter how well they grasped the broad strokes.

As we grow and mature, hopefully we all come to an appreciation of the side toward which we do not naturally incline. I’ve been made through my working life to realize that abstraction matters less if it’s not realized properly, and perhaps a more detail-oriented person will grow in awareness of the abstractions that surround us all.

Anyhow, there’s some babble for you.

Ah, a solution!

To notating at least dotted-rhythm music if not syncopated: Swung note

In other words, they just didn’t bother to write the dots. :-) It still doesn’t quite work for off-beat stuff, but let’s face it, most of the Haendel I’m working with anyway is swung.

Got stuff done plus a neat new scale mode

Nearing the bottom of the fourth page. A busy two weeks coming up (particularly next week), so I don’t know what will happen now, but it’s looking okay from here.

I think I’d like to finish one more piece and replace one very old one that I wrote that really doesn’t deserve to be on a compilation at all — although it might make a decent sort of bonus thing.

I’d also like to mess around with a scale that I became enamored of when I was piffling around on the Rodgers on Friday-ish, a natural minor with a major third. It’s not a diatonic key signature; it’s missing the second flat in all cases, I think. So not quite diatonic, but not too bad. And I’m fairly sure that one or two key sigs a fifth up and down from A are mixed signatures, with one flat and one sharp, or something. I need to work them out.

Let’s see, I know that D in this funky scale is mixed — an F# and a Bb. E is probably what … F# and G#. Okay. So at least D is a mixed key signature. The other ones are probably just missing a flat.

Anyhow, it should be fun to mess with it and see what happens. The chords you get from it are really cool: a Major, two diminished, two minors, an augmented, and another Major. So kind of cool. A neat new set of toys to play with. :-)

ETA: I need to write out the key sigs of this weird natural minor/mixolydian hybrid. It’s becoming very weird in my head as I work it out.

ETA2: You know what, that key sig isn’t missing the second flat. It’s missing the second flat from the end — the penultimate flat. Here’s the signatures:

Click to Enlarge

Click to Enlarge

(BTW, I created this starting with the image found here.)

Obviously not diatonic as there isn’t a single transposition of it that’s all white keys, and the half-steps aren’t maximally distant. Sometimes I just get off on saying this junk out loud. :-)

So you start with A natural minor, and add a sharp. Add a sharp to each minor key signature (or remove the penultimate flat), starting with C# (that would have been there had it been major) and then adding them in the normal order.

Another way to think about it is that it’s Mixolydian, plus a flat, starting at D Mixo and adding them in the normal order from Bb.

I think I’ll do it in C just to keep from getting totally turned around.

I hope I can make some neat music with this. It looks cool and it’s fun, and I had some fun finding pretty things in it on the Rodgers, but if I can only write stinky music in it, it won’t be worthwhile. There isn’t something cool hiding under every rock, after all.

I found it — Mozart on the importance of music theory

This is for all of those airheads who think that composers write “by feeeeeel, man!”

“It is a mistake to think that the practice of my art has become easy to me. I assure you, dear friend, no one has given so much care to the study of composition as I. There is scarcely a famous master in music whose works I have not frequently and diligently studied.”

Spoken by Wolfgang Mozart in Prague, 1787, to conductor Kucharz, who led the rehearsals for Don Giovanni, from Mozart: The Man and the Artist, as Revealed in his own Words by Friedrich Kerst, trans. Henry Edward Krehbiel (1906)

Okay, so does 12-tone music mean …

… that if you cut the piece up into sequential groups of 12 notes (whatever their length), that there will be one of every kind of note within each group?

I think that’s what it means. It sound somewhat fun to write — sort of like a tavern puzzle, but crap to listen to and vaguely pointless, to be honest. It sounds to me like making a meal based on using a tiny bit of 12 randomly chosen spices. Sure, it’d be sort of neat to give it a try, but I’d rather not eat the results.

I just wish that someone would explain it better, because I think that’s what it means. Take a piece of music by Schoenberg or one of those cacophonous dudes and a scissor, and cut the music into pieces every 12 notes. Within those little bits of staff, you should see one of every kind of chromatic note.

I don’t know if Schoenberg is up on IMSLP or not, but if he is, I suppose I could try it and see if it works.

Hm — blues, rock, and mixolydian mode

Veddy interesting — coming out of classical, I’m unfamiliar with what amount to non-diatonic modes. However, I’ve been mulling investigating blues scales after hearing Uli Jon Roth discuss them in the context of blues guitar a bit in a podcast with Rachel Barton Pine. (I thought Uli was spelled with two letter l’s … ? Anyway.)

So I’ve been poking around a bit and found some interesting things that I may need to play with at some point in the future. And I’ve been amused to learn that it’s got its similarities to what may be my favorite new peculiar mode: mixolydian, a major scale with that pretty flat 7th. I’m curious about modes that will give one a flat 6th as well, seeing as how I appear to be in love with iv, and a flat 6th will give me that.

I’ve never been a jazz fan and I still won’t be. I’m afraid I’ll always associate jazz with bebop, and bebop will always sound to me — which I’ve said repeatedly — as if someone had a mouthful of 32nd notes and sneezed into a trumpet. Random and hence irritating buzzing noises, like being attacked by a swarm of flies.

But I’ve loved too much rock not to like blues. I know blues has its own life and development as an independent form of music, but for me I may always see it as embryonic rock.

I like iv a little too much.

I’m not done with it yet, but I do need to keep in mind that I don’t have to use it all the time. I suppose I’ll fall in love with another strange-ish modulation in time, and then another, etc. And at some point, I’ll be able to use varied ones. But for now, I love IV-iv-I. And I seem to be enjoying mixolydian. There’s something nice and leisurely about a major scale without a raised seventh. You get all the yumminess of the nice fifth, fourth, and third, and all the laid-back quality of the whole step up into the tonic. It’s like the modal equivalent of sipping sangria while sitting in an Adirondack chair on a Sunday morning.

Okay, so what the hell IS basic plot structure?

Or the basic structure of a three-part trilogy or any multi-part work?

Let’s face it, it can’t be a coincidence that three-part works are sort of a go-to structure for many forms of storytelling, including film, music, and literature. The sonata. The trilogy. Even visual art has the triptych.

Sonatas often (but not always) tend to be sort of allegretto-andante-allegro:

  1. A part that goes at a decent clip and that sets up all the basic bits, followed by
  2. A part that takes its time more, and might be a little bit darker and slower, where things get more complex, followed by
  3. A whiz-bang last part that wraps up with fireworks.

Okay, if anyone can differentiate that from a typical trilogy story, I’d like to see how. I just pretty much described the whole “Star Wars” trilogy for you. (Forget the prequels. The prequels sucked.)