Fascinating Rhythm

The theme music for the British television series Inspector Morse starts with a motif based on the Morse code for the word Morse:

-- --- ·-· ··· ·

“It was just a little in-joke,” composer Barrington Pheloung told Essex Life & Countryside in 2001. “I put his name at the beginning and then it recurred all the way through.”

Encouraged, he carried the idea into subsequent episodes. “Sometimes I got a bit cheeky and spelled out the killer’s name in the episode. In the episode ‘WHOK,’ which was a bit of an enigma, the culprit was called Earle. So he got plastered all over the orchestra.” When viewers caught on to this, occasionally he’d insert another character’s name to fool them.

And sometimes he’d give them the slip entirely. When the episode aired in which the detective was due to reveal his first name, 20 million people tuned in to listen for clues in the music, and a national newspaper enlisted the Royal College of Signalling to decipher the notes. They found nothing. (The inspector’s name is Endeavour.)

(Thanks, Dave.)

UPDATE: In the same spirit, the theme to the 1970s British sitcom Some Mothers Do ‘Ave ‘Em (below) spells out the series’ title in Morse code (minus the apostrophes). (Thanks, Nick.)

Punctual

Ernest Hemingway published this “blank verse” in his high school literary magazine in 1916:

hemingway blank verse

Get it? David Morice followed up with this “punctuation poem” in Word Ways in February 2012:

% , & —
+ . ? /
” :
% ;
+ $ [ \

It’s a limerick:

Percent comma ampersand dash
Plus period question mark slash
Quotation mark colon
Percent semicolon
Plus dollar sign bracket backslash

(Thanks, Volodymyr.)

DO IT NOW

http://commons.wikimedia.org/wiki/File:Karikatur_von_Arnold_Schwarzenegger.jpg
Image: Wikimedia Commons

ArnoldC, a language devised by Finnish computer programmer Lauri Hartikka, assigns programming functions to catch phrases from Arnold Schwarzenegger movies. Some keywords:

False: I LIED

True: NO PROBLEMO

If: BECAUSE I’M GOING TO SAY PLEASE

Else: BULLSHIT

EndIf: YOU HAVE NO RESPECT FOR LOGIC

While: STICK AROUND

EndWhile: CHILL

MultiplicationOperator: YOU’RE FIRED

DivisionOperator: HE HAD TO SPLIT

EqualTo: YOU ARE NOT YOU YOU ARE ME

GreaterThan: LET OFF SOME STEAM BENNET

Or: CONSIDER THAT A DIVORCE

And: KNOCK KNOCK

DeclareMethod: LISTEN TO ME VERY CAREFULLY

MethodArguments: I NEED YOUR CLOTHES YOUR BOOTS AND YOUR MOTORCYCLE

Return: I’LL BE BACK

EndMethodDeclaration: HASTA LA VISTA, BABY

AssignVariableFromMethodCall: GET YOUR ASS TO MARS

ReadInteger: I WANT TO ASK YOU A BUNCH OF QUESTIONS AND I WANT TO HAVE THEM ANSWERED IMMEDIATELY

AssignVariable: GET TO THE CHOPPER

SetValue: HERE IS MY INVITATION

EndAssignVariable: ENOUGH TALK

ParseError: WHAT THE FUCK DID I DO WRONG

This program prints the string “hello world”:

IT'S SHOWTIME
TALK TO THE HAND "hello world"
YOU HAVE BEEN TERMINATED

More on GitHub.

The Hidden Psalm

The final movement on John Coltrane’s 1965 album A Love Supreme is a “musical narration” of a devotional poem that Coltrane included in the album’s liner notes — he put the handwritten poem on a music stand and “played” it as if it were music.

“Coltrane’s hushed delivery sounds deliberately speechlike,” write Ashley Kahn in his 2003 history of the album. “He hangs on to the ends of phrases, repeats them as if for emphasis. He is in fact ‘reading’ through his horn.”

The hidden psalm was marked by New York musicians for decades before Rutgers University musicologist Lewis Porter presented a formal analysis to the American Musicological Society in 1980. “You will find that he plays right to the final ‘Amen’ and then finishes,” he writes in his 1997 biography of the saxophonist. “There are no extra notes up to that point. You will have to make a few adjustments in the poem, however: Near the beginning where it reads, ‘Help us resolve our fears and weaknesses,’ he skips the next line, goes on to ‘In you all things are possible,’ then plays ‘Thank you God’ … towards the end he leaves out ‘I have seen God.'”

“I think music can make the world better and, if I’m qualified, I want to do it,” Coltrane had said. “I’d like to point out to people the divine in a musical language that transcends words. I want to speak to their souls.”

(Thanks, Jeff.)

Math and Poetry

In 1972 the Belgian mathematician Edouard Zeckendorf established Zeckendorf’s theorem: that every positive integer can be represented as the sum of non-consecutive Fibonacci numbers in one and only one way.

In 1979 French poet Paul Braffort celebrated this with a series of 20 poems, My Hypertropes. Each of the 20 poems in the series is informed by the foregoing poems that make up its Zeckendorff sum. For example, the Zeckendorff representation of 12 is 8 + 3 + 1, so poem 12 in Braffort’s sequence shares some characters or images with each of these poems. This forced Braffort to build scenarios that would permit these relations as he wrote the poems.

Each of the numbers 1, 2, 3, 5, 8, and 13 is its own Zeckendorff representation, so Braffort related each of these to its two foregoing Fibonacci numbers (e.g., 8 = 3 + 5). This means that only the first poem, “The Preallable Explanation (or The Rhyme’s Reason),” is not influenced by any of the others. Here is that first poem, as translated by Amaranth Borsuk and Gabriela Jaurequi:

This is my work, this is my study,
like Jarry, Cyrano puffy,

to split hairs on Rimbaud
and on willies find booboos.

If it was fair or if it snowed
in Lhassa Emma Sophie Bo-

vary widow of slow carnac
gave herself to the god of wack.

Leibnitz, saying: “Verse …” What an ac-
tor for this superb “Vers …”. Oh “nach”!

He aims, Emma, the apoplexy
of those drunk on galaxy.

At the club of “spinach” kings (nay,
Bach never went there, Banach yea!)

Leibnitz — his graph ibo: not six
mus, three nus, one phi, bona xi —

haunts without profit Bonn: “Ach! Gee
if I were great Fibonacci!!! …”

Now, for example, Poem 12, “MODELS (for Petrovich’s Band),” is an alexandrine with two six-line stanzas. The Zeckendorff representation of 12 is 1 + 3 + 8, so in each stanza of Poem 12 the first line is influenced by Poem 1, the third by Poem 3, and the sixth by Poem 8, each drawing on specific lines in the source poem. The first line in the sixth couplet of Poem 1, “He aims, Emma, the apoplexy,” informs the first line of Poem 12, “For a sweet word from Emma: a word for model”; the second line of the sixth couplet from Poem 1, “of those drunk on galaxy,” informs the first line of the second stanza in Poem 12, “Our galaxies have already packed their valise”; the phrase “when I saw you / weave a letter to Elise” in Poem 3 becomes “they say from this time forth five letters to Elise” in Poem 12; and the couplet “And Muses who compose / They’re a troop they’re tropes” in Poem 8 becomes “Tragic tropes: Leonardo is Fibonacci.”

“Thus, Braffort’s collection of poems, My Hypertropes, has an internal structure provided by a mathematical theorem,” writes Robert Tubbs in Mathematics in Twentieth-Century Literature and Art (2014). “The structure does not entirely determine these poems, but it does provide connections between the poems that might not be there otherwise.”

A Second Paradox of Blackmail

We covered one paradox regarding blackmail in 2010: If it’s legal for me to reveal your secret, and it’s legal for me to ask you for money, why is it illegal for me to demand payment to keep your secret? In the words of Northwestern University law professor James Lindgren, “Why do two rights make a wrong?”

Here’s a second paradox: If you had initiated the same transaction — if you had offered to pay me for my silence, and I’d agreed — then we’d have the same outcome, but this time it’s legal. “It is considered paradoxical that the sale of secrecy is legal if it takes the form of a bribe, yet is illegal where the sale of secrecy takes the form of blackmail,” writes Loyola University economist Walter Block. “Why should the legality of a sale of secrecy depend entirely upon who initiates the transaction? Why is bribery legal but blackmail not?”

(Walter Block et al., “The Second Paradox of Blackmail,” Business Ethics Quarterly, July 2000.)

Snowball Numbers

What’s unusual about the number 313,340,350,000,000,000,499? Its English name, THREE HUNDRED THIRTEEN QUINTILLION THREE HUNDRED FORTY QUADRILLION THREE HUNDRED FIFTY TRILLION FOUR HUNDRED NINETY-NINE, contains these letter counts:

snowball numbers 1

This makes the name a perfect “snowball,” in the language of wordplay enthusiasts. In exploring this phenomenon for the November 2012 issue of Word Ways, Eric Harshbarger and Mike Keith found hundreds of thousands of solutions among very large numbers, but the example above is “shockingly small compared to all other known SH [snowball histogram] numbers,” they write. “It seems very likely that this is the smallest SH number of any order, but a proof of this fact, even with computer assistance, seems difficult.”

Two other pretty findings from their article:

224,000,000,000,525,535, or TWO HUNDRED TWENTY-FOUR QUADRILLION FIVE HUNDRED TWENTY-FIVE THOUSAND FIVE HUNDRED THIRTY-FIVE, produces a “growing/melting” snowball:

snowball numbers 2

And 520,636,000,000,757,000, or FIVE HUNDRED TWENTY QUADRILLION SIX HUNDRED THIRTY-SIX TRILLION SEVEN HUNDRED FIFTY-SEVEN THOUSAND, produces the first 18 digits of π:

snowball numbers 3

“This idea can also be applied to arbitrary text, not just number names,” they write. “Can you find a sentence in Moby Dick or Pride and Prejudice whose letter distribution is a snowball or is interesting in some other way? Such possibilities are left for future consideration.”

(Eric Harshbarger and Mike Keith, “Number Names With a Snowball Letter Distribution,” Word Ways, November 2012.)

“A Man His Own Grandfather”

The following remarkable coincidence will be read with interest: Sometime since it was announced that a man at Titusville, Pennsylvania, committed suicide for the strange reason that he had discovered that he was his own grandfather. Leaving a dying statement explaining this singular circumstance, we will not attempt to unravel it, but give his own explanation of the mixed-up condition of his kinsfolk in his own words. He says, ‘I married a widow who had a grown-up daughter. My father visited our house very often, fell in love with my stepdaughter, and married her. So my father became my son-in law, and my step-daughter my mother, because she was my father’s wife. Some time afterwards, my wife gave birth to a son; he was my father’s brother-in-law, and my uncle, for he was the brother of my step-mother. My father’s wife — i.e. my step-daughter — had also a son; he was, of course, my brother, and in the mean time my grandchild, for he was the son of my daughter. My wife was my grandmother, because she was my mother’s mother. I was my wife’s husband and the grandchild at the same time. And as the husband of a person’s grandmother is his grandfather, I was my own grandfather.’ After this logical conclusion, we are not surprised that the unfortunate man should have taken refuge in oblivion. It was the most married family and the worst mixed that we ever heard of. To unravel such an entangling alliance could not have resulted otherwise than in an aberration of mind and subsequent suicide.

Littell’s Living Age, May 9, 1868

(Yes, I know about the song!) (Thanks, Dave.)

English by Degrees

In his landmark paper “A Mathematical Theory of Communication,” Claude Shannon experimented with a series of stochastic approximations to English. He started with a sample message in which each of the 26 letters and the space appear with equal probability:

XFOML RXKHRJFFJUJ ZLPWCFWKCYJ FFJEYVKCQSGHYD QPAAMKBZAACIBZLHJQD.

In the next message, the symbols’ frequencies are weighted according to how commonly they appear in English text (for example, E is more likely than W):

OCRO HLI RGWR NMIELWIS EU LL NBNESEBYA TH EEI ALHENHTTPA OOBTTVA NAH BRL.

In the third he linked each letter to its predecessor: After one letter is recorded, the next is chosen in a manner weighted according to how frequently such a pair appears in natural English (a “digram”):

ON IE ANTSOUTINYS ARE T INCTORE ST BE S DEAMY ACHIN D ILONASIVE TUCOOWE AT TEASONARE FUSO TIZIN ANDY TOBE SEACE CTISBE.

In the fourth he applied the same idea to sets of three letters (“trigrams”):

IN NO IST LAT WHEY CRATICT FROURE BIRS GROCID PONDENOME OF DEMONSTURES OF THE REPTAGIN IS REGOACTIONA OF CRE.

In the fifth he shifts from letters to words. Words appear in a manner weighted by their frequency in English (without regard to the prior word):

REPRESENTING AND SPEEDILY IS AN GOOD APT OR COME CAN DIFFERENT NATURAL HERE HE THE A IN CAME THE TO OF TO EXPERT GRAY COME TO FURNISHES THE LINE MESSAGE HAD BE THESE.

Finally, he applies the digram technique to words — each word is chosen based on the frequency with which pairs of words appear in English:

THE HEAD AND IN FRONTAL ATTACK ON AN ENGLISH WRITER THAT THE CHARACTER OF THIS POINT IS THEREFORE ANOTHER METHOD FOR THE LETTERS THAT THE TIME OF WHO EVER TOLD THE PROBLEM FOR AN UNEXPECTED.

Already this is starting to look like English — Shannon notes that the 10-word phrase ATTACK ON AN ENGLISH WRITER THAT THE CHARACTER OF THIS could find a home in a natural sentence without much strain.

He had to stop there, as this was 1948 and he was using paper books. “But the modern availability of computing power has made carrying out such calculations automatically a near-trivial task for reasonably-sized bodies of sample text,” writes UC-Santa Cruz computer scientist Noah Wardrip-Fruin. “As Shannon also pointed out, the stochastic processes he described are comonly considered in terms of Markov models. And, interestingly, the first application of Markov models was also linguistic and literary — modeling letter sequences in Pushkin’s poem ‘Eugene Onegin.’ But Shannon was the first to bring this mathematics to bear meaningfully on communication, and also the first to use it to perform text-generation play.”

(Noah Wardrip-Fruin, “Playable Media and Textual Instruments,” in Peter Gendolla and Jörgen Schäfer, eds., The Aesthetics of Net Literature, 2007.)

Light Reading

French writer Paul Fournel’s 1990 novel Suburbia begins conventionally enough:

Table of Contents

A Word from the Publisher vi
Foreword by Marguerite Duras vii
An Introductory Note by the Author viii
Suburbia 9
Afterword by François Caradec 215
Supplement for Use in Schools 217
Index 219

And the “Word from the Publisher” promises that “the quality of this little novel, now that passions have subsided, has emerged ever more forcefully.” But the first page is blank except for four footnotes:

1. In French in the original.
2. Concerning the definition of suburb, see the epigraph et seq.
3. What intention on the author’s part does this brutal opening suggest?
4. Local judge.

The same thing happens on the second page:

1. Notice how Norbert comes crashing onto the scene.
2. This passage is a mixture of backslang and immigrant jargon. Transpose into normal English.
3. Motorcycle.
4. Obscene gesture.

And so on — except for footnotes, all the pages in Suburbia are blank. “In Suburbia Fournel was not attempting to give some postmodernist exploration of the nature of literature,” explains Robert Tubbs in Mathematics in Twentieth-Century Literature and Art (2014). “Suburbia, instead, was written according to the lipogrammatic constraint that it contain no letters or symbols. This constraint force Fournel to write a textless narrative. Because of the footnotes on each page, it has content — it is not an empty text; it is simply a textless text, a text that just happens not to contain any words.”