Log24

Saturday, January 2, 2016

The Beethoven Midrash

Filed under: General — m759 @ 3:33 am

From Commentary  magazine on Dec. 14, 2015

"Three significant American magazines started life in the 1920s.
The American Mercury , founded in 1924, met with the greatest
initial success, in large part because of the formidable reputations
of its editors, H.L. Mencken and George Jean Nathan, and it soon
became the country’s leading journal of opinion."

— Terry Teachout, article on the history of The New Yorker  

A search for "American Mercury" in this  journal yields a reference from 2003
to a book containing the following passage —

As Webern stated in "The Path to Twelve-Note Composition":

"An example: Beethoven's 'Six easy variations on a Swiss song.'
Theme: C-F-G-A-F-C-G-F, then backwards! You won't notice this
when the piece is played, and perhaps it isn't at all important,
but it is unity ." 

— Larry J. Solomon, Symmetry as a Compositional Determinant ,
     Chapter 8, "Quadrate Transformations"

This is the Beethoven piece uploaded to YouTube by "Music and such…"
on Dec. 12, 2009. See as well this journal on that same date.

Friday, May 19, 2023

Der Schlußstein des Gewölbes

Filed under: General — Tags: — m759 @ 10:41 am

From a search in this journal for Beethoven

Thursday, December 17, 2020

Just 17

Filed under: General — Tags: — m759 @ 2:27 am

On February 10, 2004 (Beijing time), classical pianist
Yuja Wang turned 17.

Meanwhile . . .

Wednesday, October 18, 2017

Bach for String Quartet

Filed under: General — m759 @ 1:37 pm

See also Bach + Quartet in this  journal.

Sunday, April 23, 2017

A Small Model Composition…

Filed under: General — m759 @ 9:29 pm

…  A Scottish Play  suggested by  …

  • A passage quoted here Friday night

    "The Hegel action is applied to understand creative processes
    in two classical compositions — Beethoven’s Hammerklavier
    Sonata op. 106, and Liszt’s Mephisto Walzer — but also to
    the creation of a small model composition."

— From the abstract of  "Hegel’s Conceptual 
Group Action on Creative Dynamics in Music
," by 
Guerino Mazzola and Maria Mannone

  • A news story from today about a death yesterday —

  • An informative weblog post from Shakespeare's Birthday
    (today's date, April 23) three years ago 

http://toomuchhorrorfiction.blogspot.com/
2014/04/go-waltzing-mephisto-with-me.html

Illustration —

Saturday, February 1, 2014

Art

Filed under: General — Tags: — m759 @ 4:00 pm

See also the above upload date.

Monday, December 16, 2013

Quartet

Filed under: General,Geometry — Tags: — m759 @ 12:00 pm

IMAGE- Four quadrants of a Galois tesseract, and a figure from 'Lawrence of Arabia'

Happy Beethoven's Birthday.

Related material:  Abel 2005 and, more generally, Abel.

See also Visible Mathematics.

Saturday, December 14, 2013

Beautiful Mathematics

Filed under: General,Geometry — Tags: , , , , — m759 @ 7:59 pm

The title, which I dislike, is taken from a 2011 publication
of the MAA, also sold by Cambridge University Press.

Some material relevant to the title adjective:

"For those who have learned something of higher mathematics, nothing could be more natural than to use the word 'beautiful' in connection with it. Mathematical beauty, like the beauty of, say, a late Beethoven quartet, arises from a combination of strangeness and inevitability. Simply defined abstractions disclose hidden quirks and complexities. Seemingly unrelated structures turn out to have mysterious correspondences. Uncanny patterns emerge, and they remain uncanny even after being underwritten by the rigor of logic."— Jim Holt, opening of a book review in the Dec. 5, 2013, issue of The New York Review of Books

Some relevant links—

The above list was updated on Jan. 31, 2014, to include the
"Strangeness" and "Hidden quirks" links.  See also a post of
​Jan. 31, 2014.

Update of March 9, 2014 —

The link "Simply defined abstractions" is to the construction of the Steiner
system S(5, 8, 24) described by R. T. Curtis in his 1976 paper defining the
Miracle Octad Generator. It should be noted that this construction is due
to Richard J. Turyn, in a 1967 Sylvania research report. (See Emily Jennings's
talk of 1 Nov. 2012.) Compare  the Curtis construction, written in 1974,
with the Turyn construction of 1967 as described in Sphere Packings, Lattices
and Groups , by J. H. Conway and N. J. A. Sloane (first published in 1988).

Thursday, December 16, 2010

Finale

Filed under: General — m759 @ 1:00 pm

Finale of Beethoven's String Quartet No. 16, Opus 135

        Related material — Posts in this journal on The King and the Corpse .

Wednesday, May 19, 2010

Blue Note à Quatre

Filed under: General — Tags: , — m759 @ 3:00 am

The Concert à Quatre  "was Messiaen's last work, left unfinished on his desk at his death. His widow undoubtedly followed his wishes and style in completing the orchestration." —Leslie Gerber

Related material:

http://www.log24.com/log/pix10A/100519-Loriod.jpg

See also yesterday's Stone Junction, this morning's note on Heidegger 's Geviert, and Moulin Bleu from Beethoven's birthday, 2003—

Juliette Binoche in "Bleu"

Thursday, August 6, 2009

Thursday August 6, 2009

Filed under: General — Tags: , — m759 @ 6:00 am

The Running

"Budd Schulberg, who wrote the award-winning screenplay for 'On the Waterfront' and created a classic American archetype of naked ambition, Sammy Glick, in his novel What Makes Sammy Run?, died on Wednesday. He was 95…."

Running man with blue background on the cover of 'Eye of Cat,' by Roger Zelazny

Log24, Dec. 16, 2003:

See, too, Blue Matrices, and
a link for Beethoven's birthday:

Juliette Binoche with musical score from Kieslowski's 'Blue'

Song for the
Unification of Europe

Sunday, November 23, 2008

Sunday November 23, 2008

Filed under: General,Geometry — m759 @ 9:00 am
The Idea of Identity

“The first credential
 we should demand of a critic
 is his ideograph of the good.”

— Ezra Pound,
  How to Read

Music critic Bernard Holland in The New York Times on Monday, May 20, 1996:

The Juilliard’s
Half-Century Ripening

Philosophers ponder the idea of identity: what it is to give something a name on Monday and have it respond to that name on Friday regardless of what might have changed in the interim. Medical science tells us that the body’s cells replace themselves wholesale within every seven years, yet we tell ourselves that we are what we were….

Schubert at the end of his life had already passed on to another level of spirit. Beethoven went back and forth between the temporal world and the world beyond right up to his dying day.

Exercise

Part I:
Apply Holland’s Monday-to-Friday “idea of identity” to the lives and deaths during the week of Monday, Nov. 10 (“Frame Tales“), through Friday, Nov. 14, of a musician and a maker of music documentaries– Mitch Mitchell (d. Nov. 12) and Baird Bryant (d. Nov. 13).

Part II:
Apply Holland’s “idea of identity” to last week (Monday, Nov. 17, through Friday, Nov. 21), combining it with Wigner’s remarks on invariance (discussed here on Monday) and with the “red dragon” (Log24, Nov. 15) concept of flight over “the Hump”– the Himalayas– and the 1991 documentary filmed by Bryant, “Heart of Tibet.”

Part III:

Discuss Parts I and II in the context of Eliot’s Four Quartets. (See Time Fold, The Field of Reason, and Balance.)

Sunday, May 25, 2008

Sunday May 25, 2008

Filed under: General,Geometry — Tags: — m759 @ 6:30 pm
Hall of Mirrors

Epigraph to
Deploying the Glass Bead Game, Part II,”
by Robert de Marrais:

“For a complete logical argument,”
Arthur began
with admirable solemnity,
“we need two prim Misses –”
“Of course!” she interrupted.
“I remember that word now.
And they produce — ?”
“A Delusion,” said Arthur.

— Lewis Carroll,
Sylvie and Bruno

Prim Miss 1:

Erin O’Connor’s weblog
“Critical Mass” on May 24:

Roger Rosenblatt’s Beet [Ecco hardcover, Jan. 29, 2008] is the latest addition to the noble sub-genre of campus fiction….

Curricular questions and the behavior of committees are at once dry as dust subjects and areas ripe for sarcastic send-up– not least because, as dull as they are, they are really both quite vital to the credibility and viability of higher education.

Here’s an excerpt from the first meeting, in which committee members propose their personal plans for a new, improved curriculum:

“… Once the students really got into playing with toy soldiers, they would understand history with hands-on excitement.”

To demonstrate his idea, he’d brought along a shoe box full of toy doughboys and grenadiers, and was about to reenact the Battle of Verdun on the committee table when Heilbrun stayed his hand. “We get it,” he said.

“That’s quite interesting, Molton,” said Booth [a chemist]. “But is it rigorous enough?”

At the mention of the word, everyone, save Peace, sat up straight.

“Rigor is so important,” said Kettlegorf.

“We must have rigor,” said Booth.

“You may be sure,” said the offended Kramer. “I never would propose anything lacking rigor.”

Smythe inhaled and looked at the ceiling. “I think I may have something of interest,” he said, as if he were at a poker game and was about to disclose a royal flush. “My proposal is called ‘Icons of Taste.’ It would consist of a galaxy of courses affixed to several departments consisting of lectures on examples of music, art, architecture, literature, and other cultural areas a student needed to indicate that he or she was sophisticated.”

“Why would a student want to do that?” asked Booth.

“Perhaps sophistication is not a problem for chemists,” said Smythe. Lipman tittered.

“What’s the subject matter?” asked Heilbrun. “Would it have rigor?”

“Of course it would have rigor. Yet it would also attract those additional students Bollovate is talking about.” Smythe inhaled again. “The material would be carefully selected,” he said. “One would need to pick out cultural icons the students were likely to bring up in conversation for the rest of their lives, so that when they spoke, others would recognize their taste as being exquisite yet eclectic and unpredictable.”

“You mean Rembrandt?” said Kramer.

Smythe smiled with weary contempt. “No, I do not mean Rembrandt. I don’t mean Beethoven or Shakespeare, either, unless something iconic has emerged about them to justify their more general appeal.”

“You mean, if they appeared on posters,” said Lipman.

“That’s it, precisely.”

Lipman blushed with pride.

“The subject matter would be fairly easy to amass,” Smythe said. “We could all make up a list off the top of our heads. Einstein–who does have a poster.” He nodded to the ecstatic Lipman. “Auden, for the same reason. Students would need to be able to quote ‘September 1939[ or at least the last lines. And it would be good to teach ‘Musee des Beaux Arts’ as well, which is off the beaten path, but not garishly. Mahler certainly. But Cole Porter too. And Sondheim, I think. Goya. Warhol, it goes without saying, Stephen Hawking, Kurosawa, Bergman, Bette Davis. They’d have to come up with some lines from Dark Victory, or better still, Jezebel. La Dolce Vita. Casablanca. King of Hearts. And Orson, naturally. Citizen Kane, I suppose, though personally I prefer F for Fake.”

“Judy!” cried Heilbrun.

“Yes, Judy too. But not ‘Over the Rainbow.’ It would be more impressive for them to do ‘The Trolley Song,’ don’t you think?” Kettlegorf hummed the intro.

Guernica,” said Kramer. “Robert Capa.” Eight-limbed asterisk

“Edward R. Murrow,” said Lipman.

“No! Don’t be ridiculous!” said Smythe, ending Lipman’s brief foray into the world of respectable thought.

“Marilyn Monroe!” said Kettlegorf.

“Absolutely!” said Smythe, clapping to indicate his approval.

“And the Brooklyn Bridge,” said Booth, catching on. “And the Chrysler Building.”

“Maybe,” said Smythe. “But I wonder if the Chrysler Building isn’t becoming something of a cliche.”

Peace had had enough. “And you want students to nail this stuff so they’ll do well at cocktail parties?”

Smythe sniffed criticism, always a tetchy moment for him. “You make it sound so superficial,” he said.

Prim Miss 2:

Siri Hustvedt speaks at Adelaide Writers’ Week– a story dated March 24, 2008

“I have come to think of my books as echo chambers or halls of mirrors in which themes, ideas, associations continually reflect and reverberate inside a text. There is always point and counterpoint, to use a musical illustration. There is always repetition with difference.”

A Delusion:

Exercise — Identify in the following article the sentence that one might (by unfairly taking it out of context) argue is a delusion.

(Hint: See Reflection Groups in Finite Geometry.)

A. V. Borovik, 'Maroids and Coxeter Groups'

Why Borovik’s Figure 4
is included above:

Euclid, Peirce, L’Engle:
No Royal Roads.

For more on Prim Miss 2
and deploying
the Glass Bead Game,
see the previous entry.

The image “http://www.log24.com/log/images/asterisk8.gif” cannot be displayed, because it contains errors. And now, perhaps, his brother Cornell Capa, who died Friday.

 Related material: Log24 on March 24– Death and the Apple Tree— with an excerpt from
George MacDonald, and an essay by David L. Neuhouser mentioning the influence of MacDonald on Lewis Carroll– Lewis Carroll: Author, Mathematician, and Christian (pdf).

Friday, March 28, 2008

Friday March 28, 2008

Filed under: General — m759 @ 2:14 pm
Being and Nothingness

“From this I reach what I might call a philosophy; at any rate it is a constant idea of mine; that behind the cotton wool [of daily life] is hidden a pattern; that we– I mean all human beings– are connected with this; that the whole world is a work of art; that we are parts of the work of art. Hamlet or a Beethoven quartet is the truth about this vast mass that we call the world. But there is no Shakespeare, there is no Beethoven; certainly and emphatically there is no God; we are the words; we are the music; we are the thing itself.”

— Virginia Woolf, “A Sketch of the Past,” 1939-40, in Moments of Being

“And I a maid at your window,
To be your Valentine.”

— Ophelia, Hamlet IV. v.

“Ophelia’s story becomes the Story of O– the zero, the empty circle or mystery of feminine difference, the cipher of female sexuality to be deciphered by feminist interpretation.”

— Elaine Showalter, “Representing Ophelia: Women, Madness, and the Responsibilities of Feminist Criticism.” Hamlet. Ed. Susanne L. Wofford. Boston: Bedford Books of St.Martin’s Press, 1994. 220-238.

Saturday, December 16, 2006

Saturday December 16, 2006

Filed under: General — m759 @ 8:48 pm
For Beethoven’s birthday:

Da Capo.

Wednesday, August 2, 2006

Wednesday August 2, 2006

Filed under: General — m759 @ 6:23 pm

In memory of Wallace Stevens,
Presbyterian saint,
whose feast is today


Agon of the Critics:
Christian vs. Jew


The following are extracts from recent reviews of On Late Style, a book by Edward Said.

John Updike on Adorno and Said:

“‘The Tempest,’ like Beethoven’s late compositions, refuses, in Adorno’s phrase, to ‘reconcile in a single image what is not reconciled.’ Said wrote, ‘What I find valuable in Adorno is this notion of tension, of highlighting and dramatizing what I call irreconcilabilities.'”

Edward Rothstein on late style:

“Late style, Said suggests, expresses a sense of being out of place and time: it is a rejection of what is being offered. But listen to Beethoven or Strauss or Gould: the music is more like a discovery of place. That place is different from where one started; it may not even be what was once expected or desired. But it is there, in resignation and fulfillment, that late works take their stand, where even exile meets its end.”

The Jew wins.

Friday, January 27, 2006

Friday January 27, 2006

Filed under: General — m759 @ 8:25 am

Mozart, 2006

Mozart, 1935

Poet, be seated at the piano.
Play the present, its hoo-hoo-hoo,
Its shoo-shoo-shoo, its ric-a-nic,
Its envious cachinnation.

If they throw stones upon the roof
While you practice arpeggios,
It is because they carry down the stairs
A body in rags.
Be seated at the piano.

That lucid souvenir of the past,
The divertimento;
That airy dream of the future,
The unclouded concerto . . .
The snow is falling.
Strike the piercing chord.

Be thou the voice,
Not you. Be thou, be thou
The voice of angry fear,
The voice of this besieging pain.

Be thou that wintry sound
As of the great wind howling,
By which sorrow is released,
Dismissed, absolved
In a starry placating.

We may return to Mozart.
He was young, and we, we are old.
The snow is falling
And the streets are full of cries.
Be seated, thou.

— Wallace Stevens, Ideas of Order (1936)

From the center:

“‘Mozart, 1935’ immediately discloses a will to counter complaints of pure poetry, to refute that charge heard regularly from Stevens’s critics, to find ‘his particular celebration out of tune today’ on his own if necessary; and, in short, to meet the communist [poet and critic Willard] Maas’s ‘respect for his magnificent rhetoric’ at least halfway across from right to left.”

— Alan Filreis, Modernism from Right to Left: Wallace Stevens, the Thirties, and Literary Radicalism (Cambridge: Cambridge University Press, 1994), p. 211

From the left:

Norman Lebrecht on this year’s celebration of the 250th anniversary of Mozart’s birth (January 27, 1756):

   “… Mozart, it is safe to say, failed to take music one step forward….
   … Mozart merely filled the space between staves with chords that he knew would gratify a pampered audience. He was a provider of easy listening, a progenitor of Muzak….
   …  He lacked the rage of justice that pushed Beethoven into isolation, or any urge to change the world. Mozart wrote a little night music for the ancien regime. He was not so much reactionary as regressive….
   … Little in such a mediocre life gives cause for celebration….
   … The bandwaggon of Mozart commemorations was invented by the Nazis in 1941….
   …  In this orgy of simple-mindedness, the concurrent centenary of Dmitri Shostakovich– a composer of true courage and historical significance– is being shunted to the sidelines, celebrated by the few.
    Mozart is a menace to musical progress, a relic of rituals that were losing relevance in his own time and are meaningless to ours. Beyond a superficial beauty and structural certainty, Mozart has nothing to give to mind or spirit in the 21st century. Let him rest. Ignore the commercial onslaught. Play the Leningrad Symphony. Listen to music that matters.”
     
The left seems little changed since 1935.

Sunday, November 13, 2005

Sunday November 13, 2005

Filed under: General,Geometry — m759 @ 6:40 am
Structure

“Sunrise–
Hast thou a Flag for me?”
— Emily Dickinson

From a
Beethoven’s Birthday entry:

  

Kaleidoscope turning…
Shifting pattern
within unalterable structure…
— Roger Zelazny, Eye of Cat

Related material:

Blue
(below),

The image “http://www.log24.com/log/pix05B/051113-Blue.jpg” cannot be displayed, because it contains errors.

Bee Season
(below),

The image “http://www.log24.com/log/pix05B/051113-Scope1.jpg” cannot be displayed, because it contains errors.

Halloween Meditations,
Aquarius Jazz,
We Are the Key,
and
Jazz on St. Lucia’s Day.

“Y’know, I never imagined
the competition version involved
so many tricky permutations.”

— David Brin, Glory Season

Saturday, June 11, 2005

Saturday June 11, 2005

Filed under: General — Tags: — m759 @ 2:25 pm

Evil

Some academics may feel that a denunciation of an essay by one of their fellow academics as "evil" (see this morning's entry The Last Word) goes too far.

Here is a followup to that entry.

From the Riviera Presbyterian Church, a sermon quoting Madeleine L’Engle's classic A Wrinkle in Time:
 

For a moment there was the darkness of space, then another planet. The outlines of this planet were not clean and clear. It seemed to be covered with a smoky haze. Through the haze Meg thought she could make out the familiar outlines of continents like pictures in her Social Studies books. "Is it because of our atmosphere that we can't see properly?" she asked anxiously. "No, Meg, yyou know thattt itt iss nnott tthee attmosspheeere," Mrs. Which said. "Yyou mmusstt bee brrave."

"It's the Thing!" Charles Wallace cried. "It's the Dark Thing we saw… when we were riding on Mrs. Whatsit's back!" "Did it just come?" Meg asked in agony, unable to take her eyes from the sickness of the shadow which darkened the beauty of the earth. Mrs. Whatsit sighed. "No, Meg. It hasn't just come. It has been there for a great many years. That is why your planet is such a troubled one." "I hate it!" Charles Wallace cried passionately. "I hate the Dark Thing!" Mrs. Whatsit nodded. "Yes, Charles dear. We all do." "But what is it?" Calvin demanded. "We know that it's evil, but what is it?" "Yyouu hhave ssaidd itt!" Mrs. Which's voice rang out. "Itt iss Eevill. Itt iss thee Ppowers of Ddarrkknessss!" "But what's going to happen?" Meg's voice trembled. "Oh, please, Mrs. Which, tell us what's going to happen!" "We will continue tto ffight!" Something in Mrs. Which's voice made all three of the children stand straighter, throwing back their shoulders with determination, looking at the glimmer that was Mrs. Which with pride and confidence. "And we're not alone, you know, children," came Mrs. Whatsit, the comforter. "All through the universe it's being fought, all through the cosmos… and some of our very best fighters have come right from your own planet, and it's a little planet, dears, out on the edge of a little galaxy." 

"Who have some of our fighters been?" Calvin asked. "Oh, you must know them dear," Mrs. Whatsit said. Mrs. Who's spectacles shone out at them triumphantly, "And the light shineth in darkness, and the darkness comprehended it not." "Jesus!" Charles Wallace said. "Why, of course, Jesus!" "Go on, Charles, love. There were others. All your great artists. They've been lights for us to see by." "Leonardo da Vinci?" Calvin suggested tentatively. "And Michelangelo?" "And Shakespeare," Charles Wallace called out, "and Bach! And Pasteur and Madame Curie and Einstein!" Now Calvin's voice rang with confidence. "And Schweitzer and Gandhi and Buddha and Beethoven and Rembrandt and St. Francis!" "Watch!" the Medium told them. The earth with its fearful covering of dark shadow swam out of view and they moved rapidly through the Milky Way. And there was the Thing again. Suddenly there was a great burst of light through the Darkness. The light spread out and where it touched the Darkness the Darkness disappeared. The light spread until the patch of Dark Thing had vanished, and there was only a gentle shining, and through the shining came the stars, clear and pure. No shadows. No fear. Only the stars and the clear darkness of space, quite different from the fearful darkness of the Thing. "You see!" the Medium cried, smiling happily. "It can be overcome! It is being overcome all the time!"

And it is. Lift up your hearts, lift up your heads, catch the ball, practice Advent, see in the dark. You are a city set on a hill, whose light cannot be hid. said Jesus, and he believed it.

 

Amen.

Saturday June 11, 2005

Filed under: General — m759 @ 3:11 am

The Last Word

Beethoven Week on the BBC ended at midnight June 10.

“With Beethoven, music did not grow up, it regressed to adolescence. He was a hooligan who could reduce Schiller’s Ode to Joy to madness, bloodlust, and megalomania.”

Arts and Letters Daily, lead-in to an opinion piece in The Guardian of Tuesday, June 7, 2005:

Beethoven Was a Narcissistic Hooligan

“If Beethoven had dedicated his obvious talents to serving the noble Pythagorean view of music, he might well have gone on to compose music even greater than that of Mozart. You can hear this potential in his early string quartets, where the movements often have neat conclusions and there is a playfulness reminiscent of Mozart or Haydn. If only Beethoven had nourished these tender shoots instead of the darker elements that one can also hear. For the darkness is already evident in the early quartets too, in their sombre harmonies and sudden key changes. As it was, however, his darker side won out; compare, for example, the late string quartets. Here the youthful humour has completely vanished; the occasional signs of optimism quickly die out moments after they appear and the movements sometimes end in uncomfortably inconclusive cadences….

In A Clockwork Orange it is the fourth movement of Beethoven’s Ninth Symphony that echoes in the mind of Alex whenever he indulges in one of his orgies of violence. Alex’s reaction may be rather extreme, but he is responding to something that is already there in this dark and frenzied setting of Schiller’s Ode to Joy; the joy it invites one to feel is the joy of madness, bloodlust and megalomania. It is glorious music, and seductive, but the passions it stirs up are dark and menacing.”

The image “http://www.log24.com/log/pix05A/050611-Clock.jpg” cannot be displayed, because it contains errors.

Dylan Evans, former Lacanian psychotherapist (pdf) and now head of the undergraduate robotics program at the University of the West of England.

Speak for yourself, Dylan.

“Evil did not have the last word.”

—  Richard John Neuhaus, April 4, 2005

Evil may have had the last word in Tuesday’s Guardian, but now that Beethoven Week has ended, it seems time for another word.

For another view of Beethoven, in particular the late quartets, see the Log24 Beethoven’s Birthday entry of December 16, 2002:

Beethoven’s Birthday

“Ludwig van Beethoven’s String Quartet in A Minor, Opus 132, is one of the transcendent masterworks of the Western classical tradition. It is built around its luminous third movement, titled ‘Holy song of thanksgiving by one recovering from an illness.’

In this third movement, the aging Beethoven speaks, clearly and distinctly, in a voice seemingly meant both for all the world and for each individual who listens to it. The music, written in the ancient Lydian mode, is slow and grave and somehow both a struggle and a celebration at the same time.

This is music written by a supreme master at the height of his art, saying that through all illness, tribulation and sorrow there is a strength, there is a light, there is a hope.”

—  Andrew Lindemann Malone

“Eliot’s final poetic achievement—and, for many, his greatest—is the set of four poems published together in 1943 as Four Quartets…. Structurally—though the analogy is a loose one—Eliot modeled the Quartets on the late string quartets of Beethoven, especially… the A Minor Quartet; as early as 1931 he had written the poet Stephen Spender, ‘I have the A Minor Quartet on the gramophone, and I find it quite inexhaustible to study. There is a sort of heavenly or at least more than human gaiety about some of his later things which one imagines might come to oneself as the fruit of reconciliation and relief after immense suffering; I should like to get something of that into verse before I die.'”

— Anonymous author at a
Longman Publishers website

“Each of the late quartets has a unique structure, and the structure of the Quartet in A Minor is one of the most striking of all. Its five movements form an arch. At the center is a stunning slow movement that lasts nearly half the length of the entire quartet…

The third movement (Molto adagio) has a remarkable heading: in the score Beethoven titles it ‘Hymn of Thanksgiving to the Godhead from an Invalid,’ a clear reflection of the illness he had just come through. This is a variation movement, and Beethoven lays out the slow opening section, full of heartfelt music. But suddenly the music switches to D major and leaps ahead brightly; Beethoven marks this section ‘Feeling New Strength.’ These two sections alternate through this movement (the form is A-B-A-B-A), and the opening section is so varied on each reappearance that it seems to take on an entirely different character each time: each section is distinct, and each is moving in its own way (Beethoven marks the third ‘With the greatest feeling’). This movement has seemed to many listeners the greatest music Beethoven ever wrote. and perhaps the problem of all who try to write about this music is precisely that it cannot be described in words and should be experienced simply as music.”

—  Eric Bromberger,
Borromeo Quartet program notes 

In accordance with these passages, here is a web page with excellent transcriptions for piano by Steven Edwards of Beethoven’s late quartets:

The 16 String Quartets.

Our site music for today, Beethoven’s String Quartet No. 15 in A Minor, Opus 132, Movement 3 (1825), is taken from this web page.

See also the previous entry.
 

Friday, June 10, 2005

Friday June 10, 2005

Filed under: General — Tags: — m759 @ 5:01 am
All in the Timing

Posted in USA TODAY
6/9/2005 11:40 PM:

Schwarzenegger Timeline

A look at the job approval rating
of California Governor
Arnold Schwarzenegger
since his election in Oct. 2003.

The image “http://www.log24.com/log/pix05A/050610-Terminator2.jpg” cannot be displayed, because it contains errors.

What's YOUR opinion?
________________________

Update of 2:29 PM:

Austrian Wins
Kyoto Prize

The image “http://www.log24.com/log/pix05A/050610-Clockwork.jpg” cannot be displayed, because it contains errors.

From today's New York Times:

Austrian conductor Nikolaus Harnoncourt, 75,
was recognized for his ''exceptional creativity.''

Background:

For a sample of Harnoncourt conducting
Beethoven's "Ode to Joy,"  from the film
"A Clockwork Orange," see
The CMT Shop,
Simply the Best Movie Themes.

Peter Bates, Audiophile Audition:
"Harnoncourt's sense of drama is intense."

Monday, February 28, 2005

Monday February 28, 2005

Filed under: General — m759 @ 1:23 am

Terrain

On the 77th annual Academy Awards:

“… in the Sarabande of Suite 6 Ma’s phrasing suggests we are in the same spiritual terrain as Beethoven’s late quartets.”

Thomas May

Amen.

For more on Bach, quartets, and film, see Eight is a Gate and 8/8/04.

Sunday, February 27, 2005

Sunday February 27, 2005

Filed under: General — Tags: — m759 @ 3:00 pm

Necessity

The image “http://www.log24.com/log/pix05/050227-Tie4.jpg” cannot be displayed, because it contains errors.

Above: Detail from an editor’s necktie
on the New York Times  obituary page
of Sunday, Feb. 27, 2005:

The image “http://www.log24.com/log/pix05/050227-Obits.jpg” cannot be displayed, because it contains errors.

“The form, the pattern”
T. S. Eliot

“We symbolize logical necessity
with the box (box.gif (75 bytes))….”
Keith Allen Korcz

“4 x 4 = 16”
Anonymous

“Es muss sein!”
Beethoven

Saturday, February 26, 2005

Saturday February 26, 2005

Filed under: General — m759 @ 1:23 pm

Four Quartets

"The form, the pattern"
— T. S. Eliot

"4 x 4 = 16"
— Anonymous

The image “http://www.log24.com/log/pix05/050226-Quartets.jpg” cannot be displayed, because it contains errors.

Related material:
The Form, the Pattern
and
  1. Opus   18 no. 1:
    String Quartet No.  1 in F major
  2. Opus   18 no. 2:
    String Quartet No.  2 in G major
  3. Opus   18 no. 3:
    String Quartet No.  3 in D major
  4. Opus   18 no. 4:
    String Quartet No.  4 in C minor
  5. Opus   18 no. 5:
    String Quartet No.  5 in A major
  6. Opus   18 no. 6:
    String Quartet No.  6 in B flat major
  7. Opus   59 no. 1:
    String Quartet No.  7 in F major "Rasumovsky 1"
  8. Opus   59 no. 2:
    String Quartet No.  8 in E minor "Rasumovsky 2"
  9. Opus   59 no. 3:
    String Quartet No.  9 in C major "Rasumovsky 3"
  10. Opus   74:        
    String Quartet No. 10 in E flat major "Harp"
  11. Opus   95:        
    String Quartet No. 11 in F minor "Serioso"
  12. Opus 127:        
    String Quartet No. 12 in E flat major
  13. Opus 130:        
    String Quartet No. 13 in B flat major
  14. Opus 131:        
    String Quartet No. 14 in C sharp minor
  15. Opus 132:        
    String Quartet No. 15 in A minor
  16. Opus 135:        
    String Quartet No. 16 in F major

Friday, February 25, 2005

Friday February 25, 2005

Filed under: General — Tags: — m759 @ 10:53 am

Mr. Holland’s Week,
continued

“Philosophers ponder the idea of identity: what it is to give something a name on Monday and have it respond to that name on Friday regardless of what might have changed in the interim. Medical science tells us that the body’s cells replace themselves wholesale within every seven years, yet we tell ourselves that we are what we were.

The question is widened and elongated in the case of the Juilliard String Quartet.”

Bernard Holland in the New York Times,
    Monday, May 20, 1996

“Robert Koff, a founding member of the Juilliard String Quartet and a concert violinist who performed on modern and Baroque instruments, died on Tuesday at his home in Lexington, Mass. He was 86….

Mr. Koff, along with the violinist Robert Mann, the violist Raphael Hillyer and the cellist Arthur Winograd, formed the Juilliard String Quartet in 1946….”

Allan Kozinn in the New York Times,
    Friday, February 25, 2005

“One listened, for example, to the dazed, hymnlike beauty of the F Major’s Lento assai, and then to the acid that Beethoven sprinkles all around it. It is a wrestling match, awesome but also poignant. Schubert at the end of his life had already passed on to another level of spirit. Beethoven went back and forth between the temporal world and the world beyond right up to his dying day.”

Bernard Holland in the New York Times,
    Monday, May 20, 1996

Words move, music moves
Only in time; but that which is only living
Can only die. Words, after speech, reach
Into the silence. Only by the form, the pattern,
Can words or music reach
The stillness, as a Chinese jar still
Moves perpetually in its stillness.
Not the stillness of the violin, while the note lasts,
Not that only, but the co-existence,
Or say that the end precedes the beginning,
And the end and the beginning were always there
Before the beginning and after the end.
And all is always now.

T. S. Eliot, Four Quartets

Related material: Elegance and the following description of Beethoven’s last quartet.

Program note by Eric Bromberger:

String Quartet in F major, Op. 135
LUDWIG VAN BEETHOVEN

Born December 16, 1770, Bonn
Died March 26, 1827, Vienna

This quartet – Beethoven’s last complete composition – comes from the fall of 1826, one of the blackest moments in his life. During the previous two years, Beethoven had written three string quartets on commission from Prince Nikolas Galitzin, and another, the Quartet in C-sharp minor, Op. 131, composed between January and June 1826. Even then Beethoven was not done with the possibilities of the string quartet: he pressed on with yet another, making sketches for the Quartet in F major during the summer of 1826.

At that point his world collapsed. His twenty-year-old nephew Karl, who had become Beethoven’s ward after a bitter court fight with the boy’s mother, attempted suicide. The composer was shattered: friends reported that he suddenly looked seventy years old. When the young man had recovered enough to travel, Beethoven took him – and the sketches for the new quartet – to the country home of Beethoven’s brother Johann in Gneixendorf, a village about thirty miles west of Vienna. Here, as he nursed Karl back to health, Beethoven’s own health began to fail. He would get up and compose at dawn, spend his days walking through the fields, and then resume composing in the evening. In Gneixendorf he completed the Quartet in F major in October and wrote a new finale to his earlier Quartet in B-flat major, Op. 130. These were his final works. When Beethoven return to Vienna in December, he took almost immediately to bed and died the following March.

One would expect music composed under such turbulent circumstances to be anguished, but the Quartet in F major is radiant music, full of sunlight – it is as if Beethoven achieved in this quartet the peace unavailable to him in life. This is the shortest of the late quartets, and many critics have noted that while this music remains very much in Beethoven’s late style, it returns to the classical proportions (and mood) of the Haydn quartets.

The opening movement, significantly marked Allegretto rather than the expected Allegro, is the one most often cited as Haydnesque. It is in sonata form – though a sonata form without overt conflict – and Beethoven builds it on brief thematic fragments rather than long melodies. This is poised, relaxed music, and the finale cadence – on the falling figure that has run throughout the movement – is remarkable for its understatement. By contrast, the Vivace bristles with energy. Its outer sections rocket along on a sharply-syncopated main idea, while the vigorous trio sends the first violin sailing high above the other voices. The very ending is impressive: the music grows quiet, comes to a moment of stasis, and then Beethoven wrenches it to a stop with a sudden, stinging surprise.

The slow movement – Beethoven carefully marks it Lento assai, cantante e tranquillo – is built on the first violin’s heartfelt opening melody; the even slower middle section, full of halting rhythms, spans only ten measures before the return of the opening material, now elaborately decorated. The final movement has occasioned the most comment. In the manuscript, Beethoven noted two three-note mottoes at its beginning under the heading Der schwer gefasste Entschluss: “The Difficult Resolution.” The first, solemnly intoned by viola and cello, asks the question: “Muss es sein?” (“Must it be?”). The violins’ inverted answer, which comes at the Allegro, is set to the words “Es muss sein!” (“It must be!”). Coupled with the fact that this quartet is virtually Beethoven’s last composition, these mottoes have given rise to a great deal of pretentious nonsense from certain commentators, mainly to the effect that they must represent Beethoven’s last thoughts, a stirring philosophical affirmation of life’s possibilities. The actual origins of this motto are a great deal less imposing, for they arose from a dispute over an unpaid bill, and as a private joke for friends Beethoven wrote a humorous canon on the dispute, the theme of which he then later adapted for this quartet movement. In any case, the mottoes furnish material for what turns out to be a powerful but essentially cheerful movement. The coda, which begins pizzicato, gradually gives way to bowed notes and a cadence on the “Es muss sein!” motto.

Wednesday, August 11, 2004

Wednesday August 11, 2004

Filed under: General,Geometry — Tags: , — m759 @ 5:35 am

Battle of Gods and Giants,
Part II:

Wonders of the Invisible World

Yesterday at about 5 PM I added a section titled "Invariants" to the 3:01 PM entry Battle of Gods and Giants.  Within this added section was the sentence

"This sort of mathematics illustrates the invisible 'form' or 'idea' behind the visible two-color pattern."

Now, at about 5 AM, I see in today's New York Times a review of a book titled The Invisible Century, by Richard Panek.  The reviewer, David Gelernter, says the "invisible" of the title refers to

"science that is done not by studying what you can see…. but by repairing instead to the privacy of your own mind, with the shades drawn and the lights off: the inner sanctum of intellectual history."

The book concerns the research of Einstein and Freud.  Gelernter says

"As Mr. Panek usefully notes, Einstein himself first called his work an 'invariant theory,' not a 'relativity theory.' Einstein does not say 'everything is relative,' or anything remotely like it."

The reader who clicks on the word "invariants" in Battle of Gods and Giants will receive the same information.

Gelernter's conclusion:

"The Invisible Century is a complex book about a complex topic. Mr. Panek's own topic is not so much invisibility, it seems to me, as a different kind of visibility, centering on mind-pictures revealed by introspection, which are just as sharp and clear as (for example) the mind-music Beethoven heard when he was deaf.

Inner visibility is a fascinating topic…."

As is synchronicity, a topic in the work of a greater man than Freud– Carl Jung.  The above remarks may be viewed as "synchronicity made visible."

All of this was, of course, foreshadowed in my web page "A Mathematician's Aesthetics" of August 2000:

C. G. Jung on Archetypes
and Visible Reality:

"All the most powerful ideas in history go back to archetypes. This is particularly true of religious ideas, but the central concepts of science, philosophy, and ethics are no exception to this rule. In their present form they are variants of archetypal ideas, created by consciously applying and adapting these ideas to reality. For it is the function of consciousness not only to recognize and assimilate the external world through the gateway of the senses, but to translate into visible reality the world within us."

— Carl Gustav Jung, "The Structure of the Psyche" (1927), in Collected Works Vol. 8, Structure and Dynamics of the Psyche, P. 342

Paul Klee on Visible Reality:

"Art does not reproduce the visible; rather, it makes visible…. My aim is always to get hold of the magic of reality and to transfer this reality into painting– to make the invisible visible through reality. It may sound paradoxical, but it is, in fact, reality which forms the mystery of our existence."

— Paul Klee, "Creative Credo" from The Inward Vision: Watercolors, Drawings, Writings. Abrams, not dated; published c. 1958.

Wallace Stevens on
the Visibility of Archetypes:

"These forms are visible
     to the eye that needs,
Needs out of the whole
     necessity of sight."

— Wallace Stevens, "The Owl in the Sarcophagus," (first publ. 1950) in
Collected Poetry and Prose, Library of America, 1997

Friday, April 30, 2004

Friday April 30, 2004

Filed under: General,Geometry — m759 @ 5:24 pm

Notes

  

On “Notes Toward a Supreme Fiction,” by Wallace Stevens:

“This third section continues its play of opposing forces, introducing in the second canto a ‘blue woman,’ arguably a goddess- or muse-figure, who stands apart from images of fecundity and sexuality….”

Michael Bryson 

From a Beethoven’s Birthday entry:

Moulin Bleu

  

Kaleidoscope turning…
Shifting pattern
within unalterable structure…
— Roger Zelazny, Eye of Cat   

See, too, Blue Matrices, and
a link for Beethoven’s birthday:

Song for the
Unification of Europe
(Blue 1)

From today’s news:

PRAGUE, Czech Republic (AP) – Ushering in a bold new era, hundreds of thousands of people packed streets and city squares across Europe on Friday for festivals and fireworks marking the European Union’s historic enlargement to 25 countries from 15.

The expanded EU, which takes in a broad swath of the former Soviet bloc – a region separated for decades from the West by barbed wire and Cold War ideology – was widening to 450 million citizens at midnight (6 p.m.EDT) to create a collective superpower rivalling the United States.

“All these worlds are yours
except Europa.
Attempt no landing there.”

Tuesday, December 16, 2003

Tuesday December 16, 2003

Filed under: General,Geometry — Tags: , — m759 @ 2:24 pm

Moulin Bleu

  

Kaleidoscope turning…
Shifting pattern
within unalterable structure…

— Roger Zelazny, Eye of Cat   

See, too, Blue Matrices, and
a link for Beethoven's birthday:

Song for the
Unification of Europe
(Blue 1)

Thursday, July 17, 2003

Thursday July 17, 2003

Filed under: General — Tags: — m759 @ 6:23 am

A Constant Idea

"From this I reach what I might call a philosophy; at any rate it is a constant idea of mine; that behind the cotton wool [of daily life] is hidden a pattern; that we — I mean all human beings — are connected with this; that the whole world is a work of art; that we are parts of the work of art. 'Hamlet' or a Beethoven quartet is the truth about this vast mass that we call the world. But there is no Shakespeare, there is no Beethoven; certainly and emphatically there is no God; we are the words; we are the music; we are the thing itself."

— Virginia Woolf, "A Sketch of the Past," 1939-40, in Moments of Being

 

Monday, December 16, 2002

Monday December 16, 2002

Filed under: General — m759 @ 2:22 am

Beethoven’s Birthday

“Ludwig van Beethoven’s String Quartet in A Minor, Opus 132, is one of the transcendent masterworks of the Western classical tradition. It is built around its luminous third movement, titled ‘Holy song of thanksgiving by one recovering from an illness.’

In this third movement, the aging Beethoven speaks, clearly and distinctly, in a voice seemingly meant both for all the world and for each individual who listens to it. The music, written in the ancient Lydian mode, is slow and grave and somehow both a struggle and a celebration at the same time.

This is music written by a supreme master at the height of his art, saying that through all illness, tribulation and sorrow there is a strength, there is a light, there is a hope.”

—  Andrew Lindemann Malone

“Eliot’s final poetic achievement—and, for many, his greatest—is the set of four poems published together in 1943 as Four Quartets…. Structurally—though the analogy is a loose one—Eliot modeled the Quartets on the late string quartets of Beethoven, especially… the A Minor Quartet; as early as 1931 he had written the poet Stephen Spender, ‘I have the A Minor Quartet on the gramophone, and I find it quite inexhaustible to study. There is a sort of heavenly or at least more than human gaiety about some of his later things which one imagines might come to oneself as the fruit of reconciliation and relief after immense suffering; I should like to get something of that into verse before I die.'”

— Anonymous author at a
Longman Publishers website

“Each of the late quartets has a unique structure, and the structure of the Quartet in A Minor is one of the most striking of all. Its five movements form an arch. At the center is a stunning slow movement that lasts nearly half the length of the entire quartet…

The third movement (Molto adagio) has a remarkable heading: in the score Beethoven titles it ‘Hymn of Thanksgiving to the Godhead from an Invalid,’ a clear reflection of the illness he had just come through. This is a variation movement, and Beethoven lays out the slow opening section, full of heartfelt music. But suddenly the music switches to D major and leaps ahead brightly; Beethoven marks this section ‘Feeling New Strength.’ These two sections alternate through this movement (the form is A-B-A-B-A), and the opening section is so varied on each reappearance that it seems to take on an entirely different character each time: each section is distinct, and each is moving in its own way (Beethoven marks the third ‘With the greatest feeling’). This movement has seemed to many listeners the greatest music Beethoven ever wrote. and perhaps the problem of all who try to write about this music is precisely that it cannot be described in words and should be experienced simply as music.”

—  Eric Bromberger,
Borromeo Quartet program notes 

In accordance with these passages, here is a web page with excellent transcriptions for piano by Steven Edwards of Beethoven’s late quartets:

The 16 String Quartets.

Our site music for today, Beethoven’s String Quartet No. 15 in A Minor, Opus 132, Movement 3 (1825), is taken from this web page.

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