I was struck by the beauty of this film of the twelfth Paris Quartet Chaconne by Telemann, as performed here by Il Giardino Armonico. Simply lovely.
I love all these Paris Quartets, and look forward to playing this Chaconne, which I hadn't heard before. I've got The American Baroque Ensemble recording, which doesn't include this No. 12. Just had to share! Jen :>)
And while I'm admiring how well the Mobius strip works for this purpose, I have a confession of either great genius or great whackiness.
About two years ago, I had an epiphany about the Mobius strip, and how easily it might be overlooked in mathematics and quantum theory, because it is just too darn simple.
Additionally as it only has "one side, one face" it is capable of great complexity, but perhaps, somehow [1 x 1] shapes are geometrically too simple to cause much of a stir. As we all know, when you multiply anything in math by the number 1, you hardly notice the result.
Yes, that made me laugh indeed. Invisible due to its one-ness. hahhahaa.
But the mobius strip's physical attributes of one side and one face, may just make it one of the most flexible shapes in the universe.
Imagine the mobius strip as a possible description of the motion of an electron around a nucleus. Imagine that a mobius formula could describe solar system's recycling of energy. What if the mobius formula is a possible definition of Pi? Afterall, even Pi when written out as 3.14......has that endless quality, doesn't it?
And with the mobius strip, its great flexibility allows you to create any and all possible shapes out of single construct. Try making a paper one, just to cut it apart and see all the permutations.
Or if you want to confound yourself just with office supplies, simply wrap a thick rubber band around a cylinder, like a pencil, and have a look for yourself at all the shapes that are possible:
Notice how the mobius configurations look different from every side at once (one side of the pencil has two wraps crossed with a third one on the diagonal, in the above pink pencil example, while the other side of the pencil has three parallel wraps).
It was after toying with a paper mobius strip and cutting it apart, just as we show children to do, that I realized that at the same time it can look like multiple loops, when compressed, and yet when elongated, it can look like a single strand.
Perhaps we need only improve our microscopes to fully understand the double helix of DNA or the single strand RNA, with their incredible power to remain unchanged as they stretch during cellular division and then shrink back to their original size.
That made me think of string theory vs. particle theory (yes I've watched a ton of documentaries on these topics) and that made me think that it's just possible (not likely, but at least a tiny bit possible) that the universal mathematical mystery that Stephen Hawking (yes, the Stephen Hawking) needed to spend more thinking time on, was indeed the Mobius strip.
So... ha ha....I'm so bold that ...ha ha....I emailed Mr. Hawking the theory. I couldn't quite put my finger IN the theory, but I waved my hand in that direction, anyway.
Oh sure...laugh.
I did laugh. I assure you; everyone I tell has a wee chuckle.
And I did receive a very polite automatically generated email from his lab student saying: "Thank you for your email. Mr. Hawking is far too busy to read most email. Reminder: Kindly do not send mathematical theories".
Sigh. Well so much for that. I'm at one with it (ho ho oh ho!)
But I want to at least put this confession of my own radical self-confidence in the Mobius strip down in history with a blog date on it. Just in case it turns out to be useful. I bet the entire Universe is in the shape of the Mobius, and that's why we find it so confusing to study.
And, of course, the Bach canon above only makes it more fun to contemplate.
Best, (and please don't send any more crazy mathematical theories. hahahhaha!)
Back to practising Opera Arias (arranged for two flutes and piano by moi for upcoming comedy-flute show.) Jen
Dear Flutists, I see from my "search box" that someone out there in flute land is seeking the photos of James Galway's hand callouses. See: Photos of Galway's hands here.
In the past, some flute teachers have actually said "You must build up some finger callouses, like Galway", and many other flute teachers have hotly disagreed.
You must decide for yourself, but I believe that the lighter the touch, the better the pads seal, the faster the technique (finger motions).
Having recovered from pretty acute left hand and arm pain from playing a leaking flute with inadequate muscle freedom, I tend to believe in the non-callous school.
So for interest's sake please do see the lightness and ease of hand position that I use for speed in this video.
The above video was in answer to a query today from a flute teacher who had difficulty getting beginners to balance the flute in the hands without strain. Best, Jen
A great new voice in the music business world: David Cutler has written a new book about how to market yourself as a musician, and this is information that's always desperately needed by music graduates. There are also links to musically informative videos and articles:
The articles are great (and I've got the book on order, so will read it and send more info. in future posts). Two of my favourite quotes are below. DO read the articles (great stuff on orchestral auditions and the reality of preparing for them too.) Enjoy! Jen
======================= College Music Teaching - The Scoop
"Some people decide to teach college because they cannot imagine another music career for themselves. It can be argued that someone incapable of survival as a musician outside of academia should think twice before entering a field where they are responsible for training future professionals. If deciding upon this route, hopefully it is because you are passionate about teaching and have a valuable perspective to offer."
"The problem is that too many of us are trying to become the best doing exactly the same thing as everyone else. Our categories are too broad, and creativity too narrow.
Instead of asking "which steps must I take to outshine the competition?" try another approach: "With my unique personality, interests, talents, training, background, and skills, what could I potentially do better than anyone on the planet?" This is a very different kind of question, eliciting a very different response." Read the rest of this article....
