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Bob
Local user
(4/23/00 9:22:46 am)
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Moving ahead . . .
Sure is quiet here. You can almost hear the e-tumbleweed blowing through this place. However much the kids bash this board, I hope that at least a few of us will come here to enjoy tranquility and rational discussion. For starters, there's Tim's excellent, provocative interview with Mantel in the latest newsletter. Mantel has obviously put a great deal of thought into the mechanics of cello playing, and, I'll say right off, most of the ideas expressed in the interview conform to mine (independently, I might add; I tried to skim his book years ago, but got bogged down and gave up). He's especially good in describing the functions of the right arm & hand. But let me pick some of this apart and y'all see what you think:

"In addition to my work on systematizing cello technique, I have been trying to understand artistic issues, like why is one interpretation more compelling than another, or how is it that two equally competent cellists can sound completely differently on the same instrument?"

[Is it just me, or is this guy naive? Since when, in the history of art, has anyone, ever, been able to "bottle" creative genius? We can all say, after the fact, "this prelude of Bach's is superior to this prelude of Telemann's for these reasons . . ." but of what use is that? Has anyone ever become a greater artist upon adoption of a set of rules? And is it not patently obvious that the true spark of creativity in a work is at precisely the point where the creator BENDS "the rules"? This, to me, points up certain recurring shortcomings I've noticed in German aesthetics; that things can be reduced to little more than engineering standards if one simply studies them hard enough. Finally, as to this point, his premise seems to be that there would be general agreement about which interpretation is "more compelling," and thus we should study that artist to find out what he does differently. Excuse me? Does he ever read Cello Chat? Have we EVER agreed on whose interpretation of the Bach Suites, the Dvorak Concerto, etc., etc is "more compelling"??? Ridiculous! What might be the more worthwhile study would be the study of different LISTENERS hearing the same 4 interpretations, to see what personality characteristics people have who like Slava as opposed to those who like Ofra. Kind of like the Myers-Briggs for musicians. Maybe he and I can collaborate on the Battey-Mantel test!!!
As to his second question, I am mystified that someone who has dissected the physical actions of cello playing to the detail he has, and noted the antatomical differences between players, could even ask such a question. DUH!]


"{in response to a question about sitting}: When you do something with your hands, like peeling a potato or carving a piece of wood, it is natural to lean over what you are doing. The same thing applies to cello playing, particularly in the higher positions, where you need to move your body closer to the left hand's activity in order to maintain the necessary leverage."

[What is he talking about? I don't lean forward when I peel vegetables, and if I carved wood I would lean forward only if I needed to see something up close. And what is this "necessary leverage"? Has anyone noticed any particular weakness in their left hand when playing up high but sitting normally? Lord have mercy, Starker's been playing wrong ALL THESE YEARS!!!]


"{on the left hand}: I use a changing amount of thumb counter-pressure in order to have what amounts to a pair of tongs between my fingers and thumb. I release the thumb for shifts or when I am playing a series of fast notes, when fluidity is necessary."

[This "pair of tongs" image is the most gruesome in all of cello pedagogy. How can he think this? Does he really keep these "tongs" clenched when, for example, vibrating on the pinky in a singing passage? If so, this may be one reason why we don't see a lot of Mantel recordings in the CD stores.]


"A string does not vibrate from side to side, but between the bridge and the nut. {. . .} Imagine holding a laundry rope in your hand, whose other end is attached to the wall of your home. If you now start quickly moving your end of the rope up and down, the wave that arises by this movement travels to the wall and back. The vibration does not incite all points of the rope to move simultaneously in the same direction, up and down. This is also the way a string vibrates. The movement occurs along the length of the string."

[This, I feel, is wrong too. The correct analogy is not a limp rope along which we send small waves, but a TAUT rope, which, when "plucked," vibrates in one large cycle. How could the string move visibly from side to side if it was doing what he claims? It's a little disconcerting to see such an error from someone so thoughtful.]


I have more to say, but I need to get to a gig. My rhetoric is somewhat biting because I respect so much of what this man has done. Indeed, I'm envious; he has publicly elucidated many concepts that I found on my own but now will be seen as simply following his. Early bird gets the worm, I guess. So what do you all (and I hope there ARE some of you out there) think?

Edited by Bob at: 4/23/00 9:34:05 pm
quarles
Global user
(4/24/00 6:19:04 am)
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Re: Moving ahead . . .
Re the comments about tempo and the Dvorak Concerto. Harold Schonberg the noted piano critic and author of many books on pianist's and performing practice says as regards choice of tempo that as a rule he finds that almost all of the older pianist's adopt tempi that are far brisker then their younger collegues. Listen to any of the great's Hofmann, Rachmaninov, Horowitz, Petri, Arrau (early in his career), Bachaus, Cortot, Ignaz Friedmann, Josef Lhevinne, Emil von Sauer and Gieseking. A random list, but it tends to prove Mr. Schonberg's point particularly when contrasted with the under fifty-five crop of today.

Feuermann, Casals,(until his very late year's)tended to move thing's along, They both in very different ways played expressivly but, and this is important, didn't moon (or swoon) over phrases .They just got on with it. Not a bad idea, and one would be hard pressed to call either a cold player!

Peter Schenkman, Toronto, Canada

Edited by quarles at: 4/24/00 9:52:13 am
PatWhite
Global user
(4/24/00 8:38:02 am)
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Re: Moving ahead . . .
Dear Bob,
In all honesty, I think you are thinking like a lawyer when you read the interview. Which is not a bad thing, per se, but the extreme analysis doesn't allow forgiveness for the idiosyncrasies of a live conversation. Mr. Mantel was in a conversation with Tim Finholt and may not have chosen his analogies the way he would have were he able to write and edit his remarks...? I know when I am in the midst of an explanation and fumbling for an analogy, sometimes I come up with a real winner and other times not!
At any rate, I was disappointed to hear that Fournier likens the daily playing of scales to the brushing of one's teeth because I use that one and now know it is an older idea from a wiser cellist!
You quoted, "In addition to my work on systematizing cello technique, I have been trying to understand artistic issues, like why is one interpretation more compelling than another, or how is it that two equally competent cellists can sound completely differently on the same instrument?" and then you asked, "Is it just me, or is this guy naive?"
I have to say, his remark would have been read by myself with no comment on his naivete. Yet, I am the one who marvels at the fact every human being has a face approximately the same size as the next human being, with two eyes, two ears, a nose, and a mouth -- yet how do we all look so different from each other? I think Mantel was just marvelling at the abstract nature of creativity, and the question was more rhetorical... except for the fact he proceeded to get analytical on the subject in the next breath.
Using the word analytical brings me to the crux of my problem with the man. I am not prone to minute analysis. I never could be, and do not have patience for it. I read the entire interview and as always, enjoyed Tim's skill at asking interesting questions quite a lot. However, the idea of such detailed analysis of what to me should come naturally left me cold.
However, Bob, I will say that I do lean forward over the counter when I am slicing and dicing. I cannot imagine you mean to suggest you stand up straight as an arrow when in that occupation? I must confess, I round my shoulders to play in thumb position (upper register), and find that my upper back & shoulders lean forward about 5 degrees or so. Again, I cannot imagine someone who does not. I always try to get my students more physically aware of themselves when playing. Those who are doing their best to imitate statues are asked to throw a frisbee, using only their hand. They quickly realize that it is impossible to throw something without also using the arm, shoulder, back, and momentum. I think Mantel was getting at this adaptibility of the body when playing, n'est-ce pas?
I must claim ignorance in never having previously heard of Mr. Mantel, but I did not find his ideas so absurd as did you. (Except the string vibration and the tongs. You got me there)

Patricia White

Tim Finholt 
Global user
(4/24/00 3:40:44 pm)
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String Physics
Go ahead and pick on Mantel about "tongs," but he is right about the physics of the string. The following link shows a picture of the waveform of the "fundamental" on the string, though its amplitude is exaggerated for clarity. It is taken from a book on the physics of music.

His analogy is not really that far off because the physics of the string and waves does not change just because the rope is under much less tension (i.e. not tight like a string on the cello). By waving the end of the rope, one is merely exciting the string in a different way than "plucking" or bowing. But the wave that results is still the same.

www.cello.org/stringwave.htm


Bob
Local user
(4/24/00 5:17:00 pm)
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Re: String Physics
There's a wave, but it's still one large side-to-side wave. While I may not have described it exactly correctly, Mantel's analogy is still wrong.

Tim Finholt 
Global user
(4/24/00 5:59:32 pm)
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You are both right.
He is right that the wave travels up and down the string. You are right that his analogy is off.

Tom Flaherty
Global user
(4/25/00 1:53:32 am)
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Re: Moving ahead . . .
Bob, I agree that a study of Slava vs. Ofra lovers would be interesting, but I wonder if Mantel really meant "more compelling" to refer to a concensus opinion. I often use such language to get students to intently focus on "what is there" rather than "what is good." In the end, a heightened sensitivity to what is there is rewarding in itself; there is generally more "there" than we ever completely perceive. It is sometimes worth the effort to discover in some detail what it is that WE find compelling in a performance, even if our friends think we should just get a good night's sleep and feel better in the morning.

And Pat, I'm also a great believer in "what should come natural", but not everything that should does, at least not for everyone. Sometimes minute analysis can help solve a problem for a student when more intuitive analogies and the like will not. Frankly, I prefer the less anaalytical approach, in teaching cello or composition or in learning or composing a piece myself, but I do often find the analytical approach helpful in all endeavors.

MsCheryl 
Global user
(4/25/00 5:41:32 am)
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Physics
Correct me if I am wrong, but I think you are talking about two different "waves". The string itself moves side to side, whereas a wavegraph of the soundwave created by this side to side vibration would look up and down (amplitude and frequency). Rocket science, anyone?

OyOy
Global user
(4/25/00 8:40:51 am)
Reply
Re: Physics
I think Bob & Mr. Mantel are both talking about the physical path of the string, but you may have indentified one reason why there's dispute & confusion.

Tim Finholt 
Global user
(4/25/00 9:17:43 am)
Reply
Waves
None of us are talking about the sound wave as far as I know. We are all talking about the behavior of the string itself. If you limit yourself to only looking at a single point on the string, it will appear to be only moving up and down, but when you look at the string as a whole, you will get a much different and much more accurate picture of what is really going on, as is shown in the graphical depiction posted. The picture clearly shows that a wave bounces back and forth between the ends of the string. The wave is traveling back and forth several hundred times per second, so none of us can see what's really going on with the naked eye.

tada
Global user
(4/27/00 9:08:34 pm)
Reply
waves and strings
Recent research about which there was an article in the Strad magazine recently would indicate that Bob and Gerhardt are both WRONG, rather than both right on this subject. I won't claim to have any answers myself, despite once writing a 10000 word dissertation on the subject. Aparently all the sources I used for that assignment have been proved wrong. The sticking point seems to be the fact that if you bow the string exactly in the centre, no sound is produced.

Although this is definitely no closer to the truth than any other simplistic analogy, I like to believe that it is precisely the rather more chaotic nature of the bowed string than might be expected that gives sting instruments their warmth.

Bob
Local user
(4/28/00 6:40:04 am)
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Re: waves and strings
"The sticking point seems to be the fact that if you bow the string exactly in the centre, no sound is produced."

The sticking point in this analysis is that the above sentence is wrong. I have no scientific instruments and cannot prove what I'm saying about the shape of the string vibration. But I CAN, and have, bowed the string in the center, to make a point about how the bow speed has to increase drastically the farther away from the nodes you get. Anyone disbelieves me, try it yourself.

Having said that, I nonetheless welcome "tada" to our board and hope she/he will return.

Tim Finholt 
Global user
(4/28/00 10:08:36 am)
Reply
Whoa now!
I saw that article too, and, as I recall, there was no explanation for the alleged phenomenon, just a lot of head-scratching. Even if it is a real phenomenon (which Bob questions), I'm not sure it necessarily implies that current theories about string behavior can now be thrown out. There may be a way to explain it in a manner that is compatible with current theories, which I'd bet there is. Time will tell.

tada
Global user
(4/28/00 8:18:43 pm)
Reply
bowed strings
Thankyou very much for responding to my message, Bob. I have posted a number of times on Cello chat and usually feel invisible by the lack of replies to my posts!

Anyway, because it fascinates me so much, I want to mention a few details which are not often accounted for in the analysis of bowed strings. I didn't mean to tread on any toes in my last post, I just wanted to allude to the complexity of the issue.

One phenomena which, for the life of me I can't remember the name of (it was a good 6 years since I wrote that thing) is that the direction of the vibrations of a plucked or bowed string changes. i.e. the string goes around in a circle. This is easily observed on the cello. What I find most fascinating about this is that, as you would expect, when the string is vibrating in the direction of the bow, it applies a completely different force on the bridge from when it is vibrating perpendicular to the bow. I believe you can hear it, if you listen carefully.

The torque (turning force) which is applied to the string by the bow also affects, but is not responsible for, the previously mentioned phenomena. Each time the bow grips and releases the string, it also twists the string slightly and the string snaps back around when it is released. (hard to explain without diagrams) As you would expect, this twisting motion adds an extra "wobble" to the direction of the string vibration.

Is it getting more complicated?

Combine all issues with the vector forces perpendicular and parallel to the string as they change throughout the bow stroke. Believe it or not, a component of any bow stroke is a force parallel to the string which either pulls the contact point slightly away from or towards the bridge. You got it... the string is also stretched spring-like along its length.

And finally (for this post, but this is by no means all the components contributing to the action of a bowed string) the rate at which the bow repeatedly "plucks" the string needs to be investigated. I have not come across any research dealing with this issue but there is no reason to assume that the bow plucks the string at the same frequency as the string vibrates. This is the real part in which the "shaking a loose rope" analogy falls apart. Because in that analogy, the frequency is set by the rate at which you shake the rope. When bowing a taut string, the frequency is set by the length and tension of the string (and the thickness, material, construction etc etc you get the point) and not by the rate of grabbing and releasing by the bow. So the little wave travelling in a nice neat shape between the bridge and your finger ceases to exist for all practical purposes because there are simply so many of them.

Of course, none of these factors explains why you can not get a proper sound in the middle of the string (I will not challenge the claim of those intelligent people who have spent years investigating these things) so either it is all wrong or there is yet another important factor which needs to be considered.

:) Tada

Roland Siemons 
Global user
(6/23/00 3:52:09 am)
Reply
vibrating string
Tada wrote:
"And finally ... the rate at which the bow repeatedly "plucks" the string needs to be investigated. ... there is no reason to assume that the bow plucks the string at the same frequency as the string vibrates. "

Yes there is, and it does. The bow plucks the string at the same rate.

Why you cannot get a proper sound in the middle of the string: Then the waves send to the bridge and the nut extinguish eachother. If Bob experience some sound, I expect he will admit that sound is a lot less then away from the string centre. If he does: The theory is about a perfect physical model of the stringed instrument. Perhaps perfact instruments are not identical to perfect models?

I guess I will start reading Mantel's interview now ...

Roland

Tim Janof
Administrator
Posts: 262
(8/21/01 8:09:59 pm)
Reply
Mr. Mantel asked me to post this reply.
I would like to add a few remarks to the discussion of my interview with Tim some
time ago. My example of the rope does match the behavior of a string perfectly,
with the only difference of the string being more taut than the rope. Scientific
information can be obtained by looking up “violin acoustics” through “google” in
the internet. There is a very good animation picture, describing my point
(nothing new, really).

I would also like to explain the bow “plucking” at each vibration of the string.
If you bow faster, adding pressure accordingly, the distance between the two
extreme left and right string point positions AT THE POINT OF CONTACT WITH THE
BOW increases, and logically, so does the velocity of the string AT THIS POINT
(the frequency being the same, for instance, 1/440 of a second for a')). The
result is an accordingly larger amplitude. If you calculate a little bit, you can
sum up the string velocities of each vibration of a medium loud cello tone a'
(440 vibrations per second) to the bow speed. Just a very rough example: If you
bow at a medium velocity of, say, 44 cm per second, you cover 440 single
“plucks” of 1 mm each. The bow speed matches the “little velocities” pretty
exactly. If you play louder (using also more pressure), the distance between
those two points is increased, say, to 2 mm per vibration. Then you must have a
bow speed of 88 cm per second (at a given point of contact), otherwise the tone
is crushed. This is all very rough and does not consider the leeway which exists.
Just to explain the physical behavior of a vibrating string.

The fact that you don't see the string in its single vibrations does not mean
that
the string vibrates as our slow eyes can follow. The longitudinal vibration of
the string is also responsible for the well-known phenomenon, that a bow movement
which contains a movement PARALLEL TO THE STRING (non-perpendicular) destroys
these longitudinal waves immediately. If you try to move the bow (perpendicular
position) towards the bridge on a single bow stroke, you do just that: destroy
the sound. Or if you bow with a slant bow, but stay on the point of contact, the
same phenomenon arises. The string is being pulled ALONGSIDE ITS LONGITUDINAL
POSITION, the sound is destroyed. (If you move your bow in a TEMPORARILY slightly
slant position, by the way, you can move alongside the string without this
negative effect. The pulling direction stays perpendicular, even if the position
of the bow is not.)

There is another interesting consideration in this strictly physical field.
The overtones must be produced by the string - in reality, not virtually.
Therefore, In a given moment, let's say, in a picture taken at 1/1000 of a
second, a string is never a straight line nor a smooth curve, but always a
wiggling snakelike figure, in
order to be able to physically produce the overtones on top a the fundamental
vibration. The visible eye-picture of the vibrating string is a “shell”
of all the mechanical movements of the string. This is not an opinion.

All this has very practical and very teachable consequences: Anyone who knows WHY
the sound is unsatisfactory can do something about it instead of hoping or
despairing.

I would like to clarify the vibrato issue also: The pitch perceived is the
AVERAGE of all frequencies which change a little bit (up and down) during the
vibrato. (Scientifically speaking: We perceive the exact middle line of the
mathematical integral of ALL vibrations between the upper and the lower end of
the vibrato.) If the vibrato is an exact sinus curve, the pitch perceived is
exactly in the middle between the upper and the lower pitch. If the vibrato is
uneven (for instance, if one direction, up or down, is slower than the other,
producing a sort of “saw tooth” curve), the pitch perceived wanders again back
into the middle of the integral of the uneven curve, which then may not be
exactly identical with the middle between the upper and the lower point of the
finger. Try this experiment: If you slide rapidly up and down around a given
tone, you still have the perception of a pitch center through all the howl, even
if the finger slides between, say, half an inch above and half an inch below the
note.

And finally, when I said, it always was interesting for me to find out
differences (“more or less compelling”, which might not have been the best word
choice for some), I describe nothing else than what every professional musician
does from morning to night both in playing and in teaching. We always compare
different versions of a piece, of a passage, and evaluate them, then choose the
best (for the time being). We evaluate them in a way to have a reliable grasp on
our playing on stage, on the playing of our students in lessons and on stage.
This produces my question: WHY is this better than that, which I think is much
more valuable than just stating THAT this is better than that. It has helped me
in
all my concerts and recordings (there are plenty, btw.) through my life, anyway.
That is what I meant by the different degrees of “compelling”. It has nothing to
do with the fact that each and every artistic personality has and should have his
own personal style. Even in the highest class of playing one might prefer one
artist's interpretation to another one's. That is not what was meant. I did not
mean to compare Rostropovitch to Yo-Yo-Ma, but a beautifully shaped phrase to a
"correct" one which lacks profiel (even decribale profile!!).

The sympathy someone extends to an approach (“analytical” vs. “intuitive)” is
not a good argument in favor or against a physical fact. Talking about different
approaches, I would much rather use the term “descriptive” or "describing"
instead of the ugly term “analytical”. As teachers, we should use both
approaches, of course, the intuitive and the descriptive, which in so many cases
has proven extremely effective. Robert Schumann: “Head, heart, and hand” must go
together in art to reach the goal! There is no battle between soul and head, they
must work together. In modern thinking (psychology, brain neurology etc.), they
form a completely interwoven unit anyhow...Of course, I realize that there are
different completely legitimate approaches, as there are different people. The
completely intuitive approach is wonderful and indeed enviable, if rare, as long
as it does not make attempts to sell vague impressions and personal feelings and
associations as straight facts. This may prove harmful to other people with - or
without the more intuitive approach.

Personally, and I think most would agree, we should at least to some degree try
to explain to ouselves and to a student WHY one version is better than another.
In those not too frequent cases when I cannot do this, I leave the student's
version as it is. I don't want to pour my personal taste over him. In almost all
cases, however, we find a consensus. To me, the fact that there is such a huge
degree of esthetical consensus in comparing “more or less compelling” versions of
a passage, is even more astounding than the fact that there are differences in
taste.

There was also a misunderstanding about my “pair of tongues”. Of course, you can
squeeze your left hand “to death,” which really should not be insinuated as for
my own playing. No, it is just pretty simple. You can either “hang” your arm
completely relaxed to the fingerboard, so to speak, by a certain (minimal)
“tongues” pressure between playing finger and thumb, making the fingers stick to
the fingerboard (“static friction” again). Or does anyone seriously propagate to
have the thumb constantly hanging in the air in lower positions? Otherwise,
without this friction, you cannot “hang” your arm on the fingerboard, but you
must instead carry it by the shoulder muscles (no harm is done in either form,
nor do we have any additional options but these two actions).

In practical playing, these two forms change rapidly all the time with every good
cellist. Of course, if there is no more thumb for slight counterpressure in the
thumb positions, this is not possible any more. And there are a few situations
where the tumb leaves the fingerboard even in lower positions, large double stop
stretches for example. Of course, DURING shifts the thumb leaves the fingerboard.

And finally, unless I am handicapped, I would not peel a potato, indeed, with
arms stretched out. This is an opinion of course...lol

I am quite happy about this whole discussion, which also includes quite a few
positive and sensible appraisals of our interview. I would not mind to
continue, if only to clarify some misunderstandings. Don't we all try to learn
more?

<< Prev Topic | Next Topic >>

Add Reply

Replies
Moving ahead . . . Bob 4/23/00 9:22:46 am
    Mr. Mantel asked me to post this reply. Tim Janof 8/21/01 8:09:59 pm
    waves and strings tada 4/27/00 9:08:34 pm
       Whoa now! Tim Finholt  4/28/00 10:08:36 am
       Re: waves and strings Bob 4/28/00 6:40:04 am
          bowed strings tada 4/28/00 8:18:43 pm
             vibrating string Roland Siemons  6/23/00 3:52:09 am
    Re: Moving ahead . . . Tom Flaherty 4/25/00 1:53:32 am
    String Physics Tim Finholt  4/24/00 3:40:44 pm
       Re: String Physics Bob 4/24/00 5:17:00 pm
          You are both right. Tim Finholt  4/24/00 5:59:32 pm
             Physics MsCheryl  4/25/00 5:41:32 am
                Waves Tim Finholt  4/25/00 9:17:43 am
                Re: Physics OyOy 4/25/00 8:40:51 am
    Re: Moving ahead . . . PatWhite 4/24/00 8:38:02 am
    Re: Moving ahead . . . quarles 4/24/00 6:19:04 am



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