HomeTHEORYThe same old pieces...

The same old pieces of colored glass. – Math with Bad Drawings

The same old pieces of colored glass. – Math with Bad Drawings

1. First Verse [sung by a musically ignorant child]

One year at summer camp, we broke into teams for a high-stakes game of “Name That Tune.”

I was a musical ignoramus, with nothing to contribute. Songs flew past me, unknown. But then, finally, in a late round, the pianist began to play one of the approximately seven songs I actually knew. My hand shot up.

“Twist and Shout!” I yelled.

Immediately, I felt disgust radiating from my teammates. Somehow I had blown it. Everyone knew the answer, and that wasn’t it. Shame swept my soul.

“Huh!” said the pianist. “We were looking for La Bamba… but that’s not wrong!”

My teammates shrugged, mystified but grateful, and I collapsed in relief.

It’s no secret that music repeats itself. Every melody combines the same handful of notes; every pop song draws on the same handful of chord progressions; every musician ingests the same handful of drugs.

Twist and Shout. La Bamba. Same chords.

It’s only natural to find some repetition.

2. Chorus [sung by Mark Twain]

There is no such thing as a new idea. It is impossible. We simply take a lot of old ideas and put them into a sort of mental kaleidoscope. We give them a turn and they make new and curious combinations. We keep on turning and making new combinations indefinitely; but they are the same old pieces of colored glass that have been in use through all the ages.

Sing it, Sammy C.!

3. Second Verse [sung by a seller of sheet music]

A popular 1792 parlor game, called “Mozart’s Dice,” allowed you to compose your own piece of music by combining preexisting fragments.

You roll a pair of dice sixteen times. Each roll determines the next bar of the composition from a menu of choices.

The process allows for 760 trillion combinations.

The full title: Instructions for the composition of as many waltzes as one desires with two dice, without understanding anything about music or composition. This presumes no one “desires” more than three-quarters of a quadrillion waltzes. Fair enough.

But here’s my question. Who composed the pieces in Mozart’s Dice?

The game’s title treats you as the composer. But that seems grandiose, right? You’re just rolling dice. Then again, I’m not inclined to credit the dice as composers. So I guess we have to credit Mozart (or whoever slapped his name on their sheet music). But then again, the game’s designer didn’t actually try every combination.

So ask yourself, as you listen to the music: Who wrote this?

4. Chorus [sung by Mark Twain]

There is no such thing as a new idea…. We simply take a lot of old ideas and put them into a sort of mental kaleidoscope… We keep on turning and making new combinations indefinitely; but they are the same old pieces of colored glass…

hey-o, a Connecticut Yankee is IN THE HOUSE

5. Third Verse [sung by a chorus of British comedians]

The BBC radio show “I’m Sorry I Haven’t a Clue,” a long-running parody of panel quiz shows, has some fabulous Name That Tune variants built around meaningless sounds.

“Name That Barcode.”

“Name That Motorway.”

“Name That Silence.”

Moral: just because every song is a combination of sounds doesn’t mean that every combination of sounds is a song.

There is something in the process of selection, of curation.

6. Chorus [sung by Mark Twain]

There is no such thing as a new idea…. they are the same old pieces of colored glass…

Twain’s flow can travel halfway around the world while the other emcees are still getting their boots on.

7. Final Verse [sung by a lawyer]

The year 2020, for all its shortcomings, delivered one of my all-time favorite pranks.

In February of that year, two musicians (Damien Riehl and Noah Rubin) programmed a computer to generate every possible twelve-note melody—all nine trillion of them. Might not sound like a great prank, until you learn what came next:

They claimed copyright over the whole bundle, and released them for public use.

The idea is that, in the future, musicians sued for plagiarism will have a novel argument: “Sure, I stole that melody. You stole it, too—from the omniscient songbook of Rubin and Riehl.”

8. Chorus [sung by Mark Twain]

…no such thing as a new idea….

…the same old pieces of colored glass…

…no such thing as a new idea….

…the same old pieces of colored glass…

(These lines repeat until they begin to feel fresh again, however long that takes.)

Published

Most Popular

More from Author

Google Forms for Formative Assessment in Math Class

Cheers to a new school year that will be unlike any...

2nd Grade Subtraction Worksheet | Subtraction of 2-Digit Numbers

In 2nd grade subtraction worksheet we will solve the problems on subtraction...

S01 overview – Intellectual Mathematics

Galileo is the most overrated figure in the history of science....

Digital SAT Math Problems and Solutions (Part

Problem 1 :Store A sells raspberries for $5.50 per pint and...

- A word from our sponsors -

Read Now

Google Forms for Formative Assessment in Math Class

Cheers to a new school year that will be unlike any school year before!I know that all of us are looking at new and different plans...hybrid/synchronous/asynchronous/ fully in person/fully remote...the list goes on.   I have spent a considerable amount of time trying to figure out how I...

2nd Grade Subtraction Worksheet | Subtraction of 2-Digit Numbers

In 2nd grade subtraction worksheet we will solve the problems on subtraction of 2-digit numbers (without Regrouping), subtraction of numbers with regrouping, subtracting 1-digit number from 2-digit number with regrouping, subtracting 2-digit number with regrouping, checking subtraction with addition, subtraction is reverse of addition, addition and subtraction together, estimating the difference and...

S01 overview – Intellectual Mathematics

Galileo is the most overrated figure in the history of science. That is the thesis of Season 1 of my podcast, which consists of the following 18 episodes. Galileo bad, Archimedes good Galileo’s bumbling attempts at determining the area of the cycloid suggests a radical new interpretation of...

Digital SAT Math Problems and Solutions (Part

Problem 1 :Store A sells raspberries for $5.50 per pint and blackberries for $3.00 per pint. Store B sells raspberries for $6.50 per pint and blackberries for $8.00 per pint. A certain purchase of raspberries and blackberries would cost $37.00 at store A or $66.00 at store B. How many...

How To Find The Factors Of 20: A Simple Way

The factors of 20 are the numbers 1, 2, 4, 5, 10, 20, -1, -2, -4, -5, -10, and -20. As you can see, the total number of factors 20 has is 12. Make the following observations!The numbers 1, 2, 4, 5, 10, 20 are called positive factors of...

Addition & Subtraction Together |Combination of addition & subtraction

We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and ‘-‘ signs. We find the sum of the numbers with ‘+’ sign and similarly the sum of all the...

Two Back to School Ideas for Digital Classrooms

 Yep, it's a school year like no other.  If you're like me, you have some very specific back to school routines...you buy the new school supplies, you get your kids a new backpack, you prepare your bulletin boards.  There are even back to school activities that I...

Digital SAT Math Problems and Solutions (Part

Problem 1 :Each face of a fair 14-sided die is labeled with a number from 1 through 14, with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a 2? Solution : https://www.youtube.com/watch?v=PC0RAjG6Zb8 Problem 2 :A printer produces posters...

Percent of Increase Word Problems

Hello and welcome! We're focusing today on a fascinating mathematical topic: percent of increase word problems. We've got some exciting scenarios to consider and we'll walk through these calculations together. It'll be as simple as counting 1, 2, 3. Let's start! Before we start, let's be clear on...

Societal role of geometry in early civilisations – Intellectual Mathematics

Podcast: DownloadIn ancient Mesopotamia and Egypt, mathematics meant law and order. Specialised mathematical technocrats were deployed to settle conflicts regarding taxes, trade contracts, and inheritance. Mathematics enabled states to develop civil branches of government instead of relying on force and violence. Mathematics enabled complex economies in which...

Sub Plans for High School Math Class – Webquests are Perfect!

Distance learning ... hybrid learning ... asynchronous learning ...   we're all learning different terms right now!  Here is a type of activity would be great in any of these settings...Webquests!I have used these types of activities in my classroom for a number of years.  I enjoy using...

Digital SAT Math Problems and Solutions (Part

Problem 1 :A neighborhood consists of a 2-hectare park and a 35-hectare residential area. The total number of trees in the neighborhood is 3,934. The equation 2x + 35y = 3,934 represents this situation. Which of the following is the best interpretation of x in this context? A) ...