Granite: games for good?

Curlers sweeping in front of a stone amongst other stones.
Image by AS Photography from Pixabay

Are video games good or bad for you? One game certainly did a lot of good for Bruce Mouat. He started playing a video game called Granite when he was only 8. It is a Curling game. As an adult he leads the GB Curling team in the Olympics and is one of the best players in the world, having multiple world gold medals.

Curling is a sport requiring both physical skill, strategy and nerve. It involves sliding polished stones of super hard granite down an ice track. The aim is to try and land your stones nearest the centre of a series of concentric circles 40 or so metres away. Despite the distance, millimetre accuracy is often needed. It is also called curling because the stones do not run in a straight line but curve their way into the target, in part controlled by sweepers who sweep the ice in front of the stones to alter the curl of the path as well as the distance.

It is an incredibly strategic sport with the players having to think several moves ahead, but then having to put that strategy into practice with their skill. In that way it is very much like Snooker. That is where the video game came in. Obsessed with the video game as a child, he became outstanding at the decision making in the sport by playing the video game against his granny. The reason the video game helped was because it is more than just a game, it can just as well be called a simulation, like a flight simulator. The latter are considered so accurate that pilots train on them to gain the hours needed to become skilful controlling a plane. That is what the video game Granite does for Curling.

To work as a simulator it needs what is called a physics engine. The programmers have to code the actual physics of polished granite stones sliding on ice and of ice being swept, covering all the small differences made by ice temperature, the speed of the sweeping and so on. The programmers, who were married curlers themselves, made the physics so accurate, that everything in the game behaves as close to possible as it would in reality. That means you can really learn strategy by playing it, even if you then still have to back that by hours of practice playing real curling to gain the physical skill to land stones exactly where you want them. It also can of course help inspire people to start to play the sport in reality.

In the 2026 Olympic final Bruce and Team came away with their second Silver medal, won in consecutive Olympic games, this time beaten by Canada. Even in losing the final match, Bruce Mouat made some absolutely amazing shots, both in terms of strategy and perfect physical skill under extreme pressure.

So playing a video game can certainly be for good: when the physics is so good it acts as a simulator and so can be a way to put in the hours of practice needed to be world leading, but just for fun. So have a go at playing Granite and maybe you will also gain a love of the game and so sport, then one day become a Winter Olympian yourself. Or if you love some other game or sport and learn to program, perhaps you could code a perfect simulator for it to give future players who enjoy your game an edge in the sport.

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The Proof of Love

A pseudocode poem in a red heart: Violets are violet if roses are red and violets are blue then Life is sweet else I love you
Image by CS4FN

For Valentine’s day we created this card with a pseudocode love poem. But what does it mean? Is it a statement of love or not? Now that Valentines Day is gone and logic and rational thinking are starting to reassert themselves, here is a logical argument of what it means: an informal proof of love.

We are using our own brand of poetic pseudocode here, and what matters is the formal semantics of the language (ie mathematical meaning).

What we will do is simplify the code to code that is mathematically equivalent but far simpler, explaining the semantics as we do. We will by reasoning in a similar way to doing algebra, just replacing equals with equals.

First let’s write the poem out in more program looking notation, making clearer what are statements (actions) and expressions (things that evaluate to a value. In the English reading version we are using the verb TO BE in both ways which confuses things a little.

Let’s make clear the difference between variables (that hold values and values). The colours are all values (data that can be stored) – so we will write them in capitals: RED, BLUE, VIOLET. The flowers are variables (places to store values) so we will leave them as lowercase: violets, roses. Then the title becomes an assignment (written more formally as :=). It sets the value of variable violets to value VIOLET. (We are pedantic and believe the colour of violet flowers is violet not blue!)

What comes after the keyword IF is an expression – it evaluates to a boolean (TRUE value or FALSE value) so is referred to as a boolean expression. You can think of boolean expressions as tests – true or false questions. We will use == to indicate a true/false question about whether two things are the same value.

The other two lines are statements – think of them as print statements that print a message as the action they do.

The algorithm of the poem then is:

violets := VIOLET;
IF ((roses == RED) AND (violets == BLUE))
THEN
    PRINT "Life is Sweet"
ELSE
    PRINT "I love you"


Now let us simplify the algorithm to an equivalent version a step at a time. In the assignment of the first line, the variable violets is set to value VIOLET and then not changed, so we can substitute the value (a colour in uppercase) VIOLET for variable violets (in lowercase) where it appears, and remove the assignment. This gives a simpler version of the algorithm that does exactly the same:

IF ((roses == RED) AND (VIOLET == BLUE))
THEN
    PRINT "Life is Sweet"
ELSE
    PRINT "I love you"

Now in the boolean expression, we have the subexpression

(VIOLET==BLUE)

but these are two different values and this is asking whether they are the same or not. It evaluates to true if they are the same and FALSE if they are different. It is therefore equivalent to FALSE so the whole expression becomes:

(roses==RED) AND FALSE

The original algorithm is equivalent to 

IF ((roses == RED) AND FALSE)
THEN
    PRINT "Life is Sweet"
ELSE
    PRINT "I love you"

Now whatever X is a boolean expression (X & FALSE) will always evaluate to FALSE because it needs both to be TRUE for the whole to be TRUE. The whole boolean expression therefore simplifies to FALSE and the algorithm to:

IF (FALSE)
THEN
    PRINT "Life is Sweet"
ELSE
    PRINT "I love you"

Notice how this means it does not matter what colour the roses are at all. Whether roses are red, white, blue or something else, the algorithm result will not be affected.

The semantics of an IF statement is that it evaluates exactly one of its two statements. Where its test (boolean expression) evaluates to TRUE, it executes the first THEN branch (here the Life is Sweet branch) and ignores the other ELSE branch (the I love you branch). Where its test evaluates to FALSE it instead ignores the THEN branch completely and executes the ELSE branch.

Here the test is FALSE, so it ignores the THEN branch and is equivalent to the ELSE branch. The algorithm as a whole is exactly equivalent to the far simpler algorithm:

PRINT "I love you"


Going back to the poem, it is therefore logically completely equivalent to a poem
I Love You

We have given a mathematical proof of love! The idea though is that only computer scientists with a formal semantics (ie maths meaning) of the pseudocode language used would see it!

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Paul Curzon, Queen Mary University of London

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Music AI Kriss Kross Puzzle

A Kriss Kross Puzzle Puzzle design credit: https://puzzlemaker.discoveryeducation.com/criss-cross/

Puzzle design credit: https://puzzlemaker.discoveryeducation.com/criss-cross/

Download and print the puzzle

Answers are at the bottom of https://cs4fn.blog/bitof6 where you can also read a copy of the magazine articles about Music and Artificial Intelligence.

Clues

  • 1. _ _ _ _ _ a piece of text with musical symbols instead of letters that tells a performer which
    notes to play, also a piece of music that accompanies a film (5 letters)
  • 2. and 10. _ _ _ _ _ _ (6 letters) separation is when computer scientists use AI to take a piece of music
    and split it into its _ _ _ _ _ (5 letters) – read more about this in ‘Separate your stems‘
  • 3. The _ _ _ _ _ _ is the main part of the tune you might sing along to (6 letters)
  • 4. A piece of music is made up of lots of different _ _ _ _ _ (5 letters)
  • 5. We measure how loud something is in _ _ _ _ _ _ _ _ (8 letters)
  • 6. A sequence of instructions that tell a computer what to do _ _ _ _ _ _ _ _ _ (9 letters)
  • 7. If you halve the length of a guitar string the note is an _ _ _ _ _ _ (6 letters)
  • 8. A guitar-like harp-lute from Ghana _ _ _ _ _ _ _ _ (8 letters) – read more about this in ‘The day the music didn’t die‘
  • 9. How high or how low a musical note is _ _ _ _ _ (5 letters)
  • 10. (see 2.)

Jo Brodie, Queen Mary University of London

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How machines “hear” music

Bee playing a horn into a microphone
Bee image by by Clker-Free-Vector-Images from Pixabay

Listen to a song and you might tap your feet. Computers can “listen” to music but they don’t have feet to tap! They don’t have ears or a brain either so they don’t “listen” in the way that you do. They use maths.

Turning sound into numbers

A computer is just a machine that does calculations on numbers. It doesn’t really “hear” music. To it everything is just numbers. Its programs convert sounds into numbers that it can do maths with.

When someone plucks a guitar, the string vibrates (wobbles back and forth). That sends a pulse of energy (a sound wave) through the air. Our ears detect that pulse. A computer measures the sound wave. A song has lots of different sound waves mixed together, and they can all be described with numbers that a computer measures.

One measurement is pitch – how high and squeaky or how low and rumbly the sound is. A guitar string playing a higher note vibrates faster than a lower note, sending its energy pulses into the air more quickly. We measure that as the number of sound waves arriving each second (called the frequency).

A wave that starts red then become blue as the waves squash together
If we could see a sound wave it might look a bit like this. The red sound wave has a lower frequency than the blue sound wave where the distance between each ‘wobble’ narrows. Image by CS4FN

The red and blue wavy line shows what a sound wave might look like if we could see it. The blue part of the wave is vibrating faster than the red so has a higher frequency. Humans hear it as a higher note, computers ‘hear’ it by sensing more soundwaves each second.

A wave that starts red then become blue as the waves squash together. A black wave matches it exactly aside from being taller.
Image by CS4FN

Another measurement is the volume, or how loud the sound is. That relates to how hard the guitarist plucked the string so how ‘tall’ the sound wave is. The wavy black line has the same frequency as the red and blue wave but the black sound wave is bigger: it has a larger amplitude. Humans hear it as louder, computers record bigger numbers.

Once a computer has recorded the measurements as numbers, it can then do maths on the numbers. That is where things get interesting. Programs can then change the numbers to make new and different sounds. Or they can use algorithms to generate their own numbers, then play them as music!

How loud?

Volume is measured in decibels (dB for short). A lower number means the sound is quieter, a higher number means it is louder. The loudest a UK car is allowed to be is 70 dB.

How loud do you think these sounds are?

Table with volumes How Loud? Sound Volume Car 70dB Doorbell ? Jet plane taking off ? Breathing ? Vacuum cleaner ? Balloon Popping ? Whispering ? Rainfall ? A robin singing ? Loudest shout ever by a teacher ?

Answers at https://cs4fn.blog/bitof6/

Jo Brodie and Paul Curzon, Queen Mary University of London

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All the notes?

A boy with headphones surrounded by swirling music
Boy listening to music image by Olena from Pixabay

There are infinitely many musical notes, just like there are infinitely many colours. That matters if you are designing a new digital musical instrument. You have a lot more choice than on a piano!

Octaves 

Most Western music is divided equally into groups of 12 notes (‘octaves’) that musicians use. The gap between any two notes sounds the same. This is known as equal temperament tuning. 

Activity: Play the 12 notes 

You can play the 12 notes of an octave on the online piano https://bit.ly/pianoCS4FN. Play Middle C (marked with a red dot), then press each key in turn including the black keys. Play 12 notes and you have played the 12 notes of an octave.

Music as colour

The rainbow picture (below) shows there are many colours to pick from not just red, orange, yellow… A set of crayons would be enormous if it included every possible colour! Instead you get a selection just as in the picture: we picked 3 colours equally spaced apart: red, yellow and blue. Western music does the same thing with sound, picking 12 notes that sound equally spaced.

A spectrum of colour running from red to blue with red, yellow and blue selected equal distances apart
Image by CS4FN

There are lots of other notes that you could sing within an octave. Traditional music often uses different sets of notes. The Arabic system divides an octave into 24 notes, for example. They have more ‘sound crayons’ to play with! You could even start singing on a low note and continually raise your pitch until you reached the higher note, like sweeping through every colour in a musical rainbow.

If you sing a note, then sing the same note but an octave higher (eg Middle C then the next highest C), your vocal cords are now vibrating twice as fast! The frequency of the top note is twice as high as the lower one. Your vocal cords doubled their speed.

Jo Brodie and Paul Curzon, Queen Mary University of London

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We have LOTS of articles about music, audio and computer science. Have a look in these themed portals for more:

The Music and AI pages are sponsored by the EPSRC (UKRI3024: DA EPSRC university doctoral landscape award additional funding 2025 – Queen Mary University of London).

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Musical Algorithms

An octave on a piano marked as from C to the next C labelled as C1 and C2
Image (edited) by OpenClipart-Vectors from Pixabay

How can a machine generate music? It needs an algorithm to follow: instructions to tell it what to do, step by step. Here are two simple games to play that compose a random tune by algorithm.

Writing Notes

We need a way to write notes. We use letters A to G as on a piano. They repeat all the way up the white keys, so after G comes different higher versions of A, B, C again. We will use notes running from what is called Middle C in the middle of the piano to the next C up. This is called an octave. We will call the two Cs, C1 and C2.

Game 1: Random Jumps

Roll two dice and add the numbers. Write down the note given in the table for Game 1, so if they add to 2 or 3 write down C1, if 4 write down D…If 7 then you get to roll again, and so on. Keep going until you have written 15 notes to make a tune of 15 notes.

Table for Game 1 showing dice rolls and notes 2 or 3 - C1 4 - D 5 - E 6 - F 7 - Roll again 8 - G 9 - A 10 - B 11 or 12 - C2
Game 1 by CS4FN

Game 2: Up and Down

The second algorithm uses one die. First write down C1 then roll the die and do what it says in the Game 2 table. Each new note is based on the last note. If you roll a 1 then write down D (the next note UP from C1). Rolling a 6 means add a pause in the tune (write a dash). If the roll takes you beyond either C then you bounce back: so rolling a 4 when you last wrote C1 means you write C1 again. Rolling 5 from C1 bounces you up to E. Continue until you have 15 notes.

Table for Game 2 showing die rolls and action 1 - UP 1 note 2 - UP 2 notes 3 REPEAT note 4 - DOWN 1 note 5 - DOWN 2 notes 6 - PAUSE
Game 2 by CS4FN

Play your tunes

Play your tunes on any instrument or use a free online piano (see https://bit.ly/pianoCS4FN).

Are they any good? Does either game give better tunes? 

Good music isn’t just random notes. That is why we pay composers to come up with the really good stuff! Both human and machine composers learn more complicated patterns of what makes good music.

What do you think of our musical masterpiece?

On Game 1 we rolled 6 4 8 8 8 | 5 9 4 9 6 | 5 6 9 9 10 so our tune is F D G G G | E A D A F | E F A A B

Make your tunes special!

See how on the Bach Google Doodle page.

A cloud of stars
Starburst by CS4FN

Here’s what our tune sounds like once harmonies have been added.

Could you improve your tunes by tweaking the notes? Some people use simple algorithms to spark human creativity like that. Rock legend David Bowie helped write a program he then used to write songs. It took random sentences from different places, split them in half and swapped the parts over to give him ideas for interesting lyrics. It was possibly the first algorithm to help write hit songs.

A ‘note’ on bias

Think about the numbers that are rolled and the number of different ways that each number can be produced. For example with two dice (let’s call them ‘left’ and ‘right’) you can make the number 9 twice by rolling a 5 with the left and 4 with the right, or 4 with the left and 5 with the right. Same with 6 and 3. There are only two ways to roll a 2 (both dice have to show 1) or a 3 (a 1 and a 2 or a 2 and a 1). This is baked in to the process and so will affect the notes that appear most often.

Jo Brodie and Paul Curzon, Queen Mary University of London

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We have LOTS of articles about music, audio and computer science. Have a look in these themed portals for more:

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The day the music didn’t die

An AI generated image of a skeleton wearing a red, blue and yellow sombrero hat, sitting on a stool while playing a guitar against a colourful red and yellow background.
Image by AiRebellion from Pixabay

Computer Scientists are working to support traditional music from around the world.

A seperewa is a traditional “harp-lute” musical instrument of the Akan people in Ghana, Africa. It has strings that are plucked a bit like a guitar. It is dying out because of the rise of western music. Researchers are now testing AIs that were trained on western music to see if they still work with such different seperewa music. They are also trying to understand exactly how this traditional music is different.

Protecting traditional instruments

Colonisers introduced European guitars to Ghana in the late 1800s and their sound began to influence and even replace seperewa music. Worried by this, in the mid-1900s people made recordings to preserve endangered seperewa music and to remind people what it sounds like. Ghanaian musicians are now reviving the seperewa, so we might continue to hear more of its lovely sound in future.

A view of a historical seperewa instrument side-on showing a large sounding box with strings attached to a neck, and stretched taut for playing.
A seperewa, adapted from a public domain image on Wikipedia.

AI to the rescue

A team of computer scientists and music experts have investigated recordings of seperewa music to see how well western AI tools can analyse that style of music, given it is tuned in a completely different way, so plays different notes to a western instrument.

First the team used one AI tool to separate the sounds of the seperewa from the singing. It struggled a bit and left some of the singing in the seperewa track and vice versa but overall did a good job,

They then used a different AI to analyse the sounds of the seperewa. The found that the seperewa music had its own, unique musical fingerprint, revealing a rich tapestry of sound that was clearly different from western music.

The research is helping to preserve a vital part of Ghanaian culture. It has shown in detail how their music is different to anything western and so that something unique and precious would be lost if it died out.

Jo Brodie and Paul Curzon, Queen Mary University of London

Watch …

Hear what a seperewa / seprewa sounds like at this YouTube video: The seprewa – the original African guitar [EXTERNAL]

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Composing ancient Korean music

A cartoon drawing of a dragon in a Chinese style with a yellow body and a red tongue.
Image by OpenClipart-Vectors from Pixabay

600 years ago King Sejong the Great of Korea published ‘Hangul’, a new and improved writing system for his people. To celebrate he asked his court scholars to write an epic poem in Hangul, then asked his musicians to compose music to accompany it. The result was Yongbieocheonga, or ‘Songs of the Dragon Flying to Heaven’.

It was performed by musicians playing wind and stringed instruments. The musical instruments the AI composed for are Daegeum and Piri (wind instruments), Haegeum and Ajaeng (bowed string instruments) and Geomungo and Gayageum (plucked string instruments). Each instrument had its own melody written out for the musician to follow. Only one piece of the written music survives fully intact (it is still performed!). Melodies of other pieces of music have survived but only for a single instrument. That means those pieces can’t be played by a group of musicians because all the other harmonies are missing.

A team of computer scientists decided to recreate the missing 15th century Korean harmonies from just the single melodies (in the way the Bach Google Doodle does, see You’ll Be Bach!). They wanted to expand the ability of their AI tools to make sense of music beyond western music.

They first taught their AI musician to recognise Korean music written in Hangul. Then, it learnt which notes sound best played together by different instruments. Finally, to generate music that could be played, it matched melodies and rhythms. 

It created a melody for each different instrument. The researchers then asked Korean musicians to perform the whole piece and to judge how well the AI musician had done. Happily, they thought that the music worked well and sounded correct. They could perform it with only a few small tweaks. 

You can listen to one of the performances and find out more below.

Jo Brodie and Paul Curzon, Queen Mary University of London

Watch…

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Separate your stems

Two cartoon faces, both purple, but the one on the left is a bluer purple and the one on the is a redder purple. Two speech bubbles say "I have more blue" for the bluer purple and "I have more red" for the redder purple.
Image by CS4FN

AI can unmix music and isolate vocals

Purple can be created by mixing together red and blue paint. You can probably tell which of the faces in the image has more blue and which has more red. Does music work the same way?

Your brain can recognise the red and blue in purple while still seeing it as a whole colour. Music is similar. When you listen to a song your ears and brain hear all the sounds at once. The singing, guitars, drums and keyboard parts are mixed together, but you can also focus on the singing, or the keyboards or ….

Computer scientists have gone a step further with Artificial Intelligence. By training AI tools on lots of different songs they have taught them to do “source separation” – unmixing a recorded song back into its separate bits. Those separate bits are called stems. It is like taking purple paint and unmixing it to give blue and red again!

A wide grey vase with two flowers in it (one red, one blue) at opposite ends of the vase with their stems definitely very separated.
Stems adapted from a plant pot image by HASSAN DYB from Pixabay.

“Not that kind of stem!”

Did you know?

Photographer Todd McLellan photographs gadgets he’s carefully taken apart, to show all the pieces (search the web for his “Things Come Apart”). When a piece of music is blended together and an AI separates it again it’s a bit more like trying to un-bake a cake!

Jo Brodie and Paul Curzon, Queen Mary University of London

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Jamming with JAM_BOT – an AI musician

A robot with a keyboard stomach playing the keyboard.
Image by CS4FN

Jordan Rudess is a rock keyboard player whose concerts sell out around the world. He works with a team of computer scientists at the MIT Media Labto make his synthesisers do amazing things. Together they created an AI musician called JAM_BOT to play with him on-stage.

Jordan’s bot learnt the different ways he plays by the team giving it lots of his music. It learned about the rhythms and melodies he uses. It could then compose its own versions of his music when prompted.

JAM_BOT AI plays along on-stage

Jordan also trained JAM_BOT to play with him. It could carry on playing music that Jordan had started, or create a backing track to music he was currently playing. Jordan was able to choose how JAM_BOT played with him on stage using the keys on his keyboard.

What happened next?

The resulting concert was a mix of performer and AI with a delighted audience (and computer science team). Afterwards Jordan said “It’s been pretty mind-blowing to create this tech-based version of myself – like looking into a real-time musical mirror.”

Jo Brodie and Paul Curzon, Queen Mary University of London

More on …

  • A model of virtuosity (2024) MIT News [EXTERNAL]
    • Acclaimed keyboardist Jordan Rudess’s collaboration with the MIT Media Lab culminates in live improvisation between an AI “jam_bot” and the artist.

We have LOTS of articles about music, audio and computer science. Have a look in these themed portals for more:

Getting Technical

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