What Phi (the golden ratio) Sounds Like

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To buy a high quality mp3 of this song: www.cdbaby.com Phi = φ = 1.61803398874989484820458683436563811772… “What Phi (the golden ratio) Sounds Like” is a musical interpretation of the mathematical constant Phi. The formula I use to translate the digits of Phi into music is as follows: 1 = C 2 = D 3 = E 4 = F 5 = G 6 = A 7 = B 8 = C octave 9 = D octave 0 = no note is played See my Pi and Tau videos for more explanation: bit.ly bit.ly The melodies that you hear throughout this piece are taken directly from the first 39 digits of Phi. The tempo is set at 161.8 BPM. Phi represents the golden ratio which has been used by artists, musicians and architects throughout history for it’s aesthetically pleasing properties, and is seen to occur in nature in many forms. It is even used for trading algorithms and strategies in the financial market. Here are a few examples: MUSIC -Composers Bartok, Satie, and Debussy amongst others have used the golden ratio in their various musical pieces. ART -Salvadore Dali’s used the golden ratio in his masterpiece, “The Sacrament of the Last Supper”, down to the dimensions of the canvas. ARCHITECTURE -The Parthenon in Greece is said to exhibit golden rectangles. -Great Pyramid of Giza in Egypt has dimensions based on the Golden Ratio NATURE -The branching of veins and nerves, the proportions of chemical compounds, geometry of crystals, veins in leaves, flowers, shells, weather systems, the rings of Saturn, the clock cycle of brain waves in the


Beone2b1 says:

Thank you

foukaridis says:

Dude, you’ve got the right idea, however, I don’t think you quite understand the principles involved. Firstly, the Golden Ratio refers to ratios – The relation between things (or parts of things) with respect to their comparative quantity, magnitude, or degree. Just duplicating the digits without considering the divisions is, well… irrational.

Apply the ratio to your ‘formula’ instead of just matching 0-9 with cde. Take frequency into account. Use a 5/8. Work in 5ths of 180. Etc. Spiral Out

partsofone says:

Check the following Science Daily articles: “Golden Ratio Discovered in Quantum World: Hidden Symmetry Observed for the First Time in Solid State Matter”, “2011 Nobel Prize in Chemistry: ‘Quasicrystals’ Once Thought Impossible Have Changed Understanding of Solid Matter”. Also look at Douady and Couder’s experiment with magnetized drops of ferrofluid resulting in golden angle spirals as described (and shown in video) in “‘The Mathematical Lives of Plants” at sciencenews dot o r g.

strawberryShaker89 says:

is this in 432 Hz?

thedeucester says:

You made phi sound awesome, fantastic work there! :D

To all those who are criticising and not being constructive, I have this to say: Why don’t YOU try taking a sequence of numbers and make it sound as good as this, see how hard it is before you judge. I’ve tried it, and let me tell you: it’s not as easy as you think.

Sokosu says:

now the question is, would this video receive such great comments and likes if no one told this was made from the golden ratio?

Pitagoriko17 says:

Just manipulation and film editing. It isn’t interesting

jlsjavi says:

“To buy a high quality mp3 of this song…”

Are you serious? This is pathetic.

awesomelightning says:

This video needs more views. Like seriously, this is amazing, and one of a kind. I have a video that exists 100000 of, an I can guess your number video, and it has 20k more views. WTF??? And it wasn’t even special. This… this… why does it have so little views… I think your video seems to be missing a few zeroes off it’s view count, it’s too awesome to not have that many views.

awesomelightning says:

I like people that take things literally. It’s good. :P Also, wouldn’t it be rounded? Nothing can be exact IRL.

SleepyMongoose says:

‘c’ can be both rational and irrational depending on the units used and context, but we generally use m/s and it is a rational number in m/s.

I think I took that too literally. :P

awesomelightning says:

I “c” what you did there. (but the speed of light is a rational number… OR IS IT???)

SleepyMongoose says:

Agreed, we need a song for ‘e’, it should be ‘naturally’ good.

centrechic says:

This is what my music professor had to say when I showed him this. (He is a complete nerd/genius as most professors are, so I was both heartbroken and in awe when he responded.) “Hate to rain on the parade, but the C major scale is an arbitrary collection of asymmetric intervals. To really represent symmetric real numbers, he should use Forte pitch classes. So 1.618… would be c#, f#, c#, a…And you could use c natural for zero.” He still enjoyed the composition- he loves this type of sound.

DiesIstNichtEinstein says:

Hands down, even in music phi is the most beautiful number!

DiesIstNichtEinstein says:

The ultimate challenge of converting math into music: what does i (√-1) sound like?

regulusxtx says:

It´s a magic music.
Forever and Ever music.
The Mathematic is the language with this Universe be Created.
And recreated, and recreated.Like Fractal´s.
Continuously. Because, the Eternity is beyond our time concept.
More to cycles of Nature.
It´s beautiful.

ns1460 says:

I don’t know why this song really gets to me, it’s not even a song – just a sequence of numbers. The beauty of math, plus science, plus art. It’s like the entire world just meshed into an ongoing number, and you add a few instruments and bam. It’s like you’re unlocking something. You did a magnificent job in making the vid as well ;)

God is awesome.

0Jujux says:

Its just so happy :)

nlicky says:

The golden ratio is important in aesthetic works and translating it to music also seems to work out. Good song being fairly slow and great camera and editing to show off Phi using the digits, nature footage, and video positioning. Keep up these irrational numbers represented as music, I know there’s a lot of them that could use musical treatment.

AdamTadz says:

Pi: watch?v=wK7tq7L0N8E

Tau (which is 2Pi, or C/r): watch?v=3174T-3-59Q

mindsendStoryweaver says:

I’m sort of curious to hear Pi

awesomelightning says:

Anyone else think this sounds like a perfect track to be in a car ad?

awesomelightning says:


Jeremy Jordan says:

with all the nature footage it would be very fitting :p

Zephanus says:

Nice. So far each interpretation has essentially a ballad. You should do interpretations of each irrational number you use in major an minor keys!

sorry8140 says:

do the square root of -1. *troll face*

ExplosiveBrohoof says:

do one of radical 2!!

mthielssalvo says:

so epic :D

ExplosiveBrohoof says:

You have one skilled camera artist!

thelifeexperience1 says:

While playing this in the patio garden a bird flys in a just stares as if listening to the music!

westxtsew says:

Damn you are a pretty skilled musician.

SulakAttack says:

sounds like a melody you’d play in ocarina of time

bloomandprosper says:

Beautifully arranged! It reminds me very much of the NASA recordings of Earth, if anyone knows… the sound rec. of some planets from space: Earth sounds flurry, lively, like a bunch of spring birds, waters of all kinds and light beaming through clouds, leafs on trees tapping each other and blades
of gras chirring…God, how I so love this planet!!!

Ricardo García Sancho says:

Muy interesante, amigos.

timothynunes says:

This is breathtakingly beautiful. If you’d been my math teacher, I’m sure I wouldn’t hate it as much as I do.

Chad Miller says:

Frodo: It’s a riddle. “Speak ‘phi’ and enter.” Welcome to the universe.

Callum Hackett says:

On a piano, a Phi interval would be a little more than an A-F, and a little less than an A-F#. You’d obviously need a retuning or computer music to do it. Although that’s just two tones, you could actually derive an entire scale from Phi intervals in the same way that Pythagorean tuning goes round intervals of 3:2 (just do 1:1.1618 instead). It actually doesn’t sound much worse than Just Intonation but is more interesting. :)

GeorgeRosebush says:

You’re totally right, I’d like to hear two notes played together that are a ratio of phi apart, although it probably wouldn’t sound very good, phi is more a visual thing. The ratio between notes that sound good are usually nice multiples of each other. Besides, it wouldn’t really make a song, just a tone.

Skyness217 says:

They should show this to kids in school – if I had seen this when I was younger, I don’t think I would have hated math so much.

CelestiaMinor says:

Bought. I don’t care if it’s accurate or just inspired; it’s a beautiful song.

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