REEL · STUDIO · 2 MINUTES · SUNG IN ITALIAN
Il Mercante e il Numero d’Oro — Fibonacci and the golden ratio
A Venetian pepper merchant who bought at the top finds Leonardo of Pisa’s book of numbers. Sung as a calm Italian rap with English subtitles, the film walks through the sequence, the golden ratio, the golden spiral and how a trader can use 38.2% and 61.8% — with the stop written first.
Chapters
What the film explains
Who was Fibonacci?
Leonardo of Pisa (c. 1170 – c. 1250), later called Fibonacci, “son of Bonacci”. He learned Hindu-Arabic numerals as a young man in Bugia, North Africa, where his father worked for Pisan merchants, and his Liber Abaci (1202) taught European merchants to calculate with them — zero included.
What is the Fibonacci sequence?
Each number is the sum of the two before it: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 … In Liber Abaci it answers a puzzle about breeding rabbits: starting from one pair, the book counts 377 pairs at the end of the year.
What is the golden ratio and how is it related to Fibonacci?
The golden ratio φ = (1 + √5) / 2 ≈ 1.6180339. Dividing a Fibonacci number by the one before it gets closer to φ as the numbers grow: 8/5 = 1.6, 13/8 = 1.625, 89/55 = 1.6182, 144/89 = 1.6180.
What is the golden spiral?
Draw squares whose sides are Fibonacci numbers and join one quarter-circle in each square: the curve approximates a logarithmic spiral that grows by a factor of φ every quarter turn. Sunflower seed heads often show spiral counts that are neighbouring Fibonacci numbers.
How do traders use Fibonacci retracements?
After a move, they mark levels at 23.6%, 38.2% and 61.8% of it (78.6% is also common; 50% is popular but not a Fibonacci ratio). If a price rose from 100 to 200, a 38.2% pullback reaches 161.8 and a 61.8% pullback reaches 138.2. The levels are zones to watch, used with an entry plan and a stop written in advance.
Do Fibonacci levels predict the market?
No. They are a way of measuring a move, not a forecast, and there is no guarantee price will react at them. The film calls them “a map for the sea, but not the sea”. Educational content, not financial advice.
Lyrics · Testo
| Italiano | English |
|---|---|
| Venezia, sera, l'acqua che respira piano | Venice, evening, the water breathing slow |
| Io, mercante di pepe, con i conti in mano | Me, a pepper merchant, with the ledger in my hand |
| Compravo in alto, vendevo con paura | I bought at the top, I sold in fear |
| Il mercato parlava, ma io non avevo misura | The market was talking, but I had no measure |
| Un libro da Pisa, Liber Abaci, milleduecentodue | A book from Pisa, Liber Abaci, twelve-oh-two |
| Leonardo lo scrisse, ho sfogliato le pagine sue | Leonardo wrote it, I turned his pages through |
| Cifre venute da lontano, e lo zero con loro | Numerals from far away, and zero came along |
| Per contare meglio il mondo, e il peso dell'oro | To count the world better, and the weight of gold |
| Uno, uno, due, tre, cinque, otto | One, one, two, three, five, eight |
| Tredici, ventuno, il passo non è rotto | Thirteen, twenty-one, the step never breaks |
| Ogni numero è la somma dei due di prima | Each number is the sum of the two before |
| E il rapporto si avvicina a uno virgola sei uno otto | And the ratio closes in on one point six one eight |
| Una coppia di conigli, un mese dopo l'altro | One pair of rabbits, month after month |
| La famiglia si moltiplica, un passo e poi un altro | The family multiplies, one step and then another |
| Alla fine dell'anno, trecentosettantasette | By the end of the year, three hundred seventy-seven |
| Dividi un numero per l'altro, e guarda cosa succede | Divide one number by the one before, and watch |
| Centoquarantaquattro su ottantanove: uno virgola sei uno otto | A hundred forty-four over eighty-nine: one point six one eight |
| La proporzione d'oro, nascosta lì sotto | The golden proportion, hidden underneath |
| Quadrati che crescono, un arco in ogni stanza | Squares that grow, one arc in every room |
| La spirale si apre con pazienza e distanza | The spiral opens with patience and distance |
| Il pepe sale da cento a duecento ducati | Pepper climbs from a hundred to two hundred ducats |
| Poi torna indietro, e i nervi sono provati | Then it pulls back, and the nerves are tested |
| Trentotto virgola due, sessantuno virgola otto | Thirty-eight point two, sixty-one point eight percent |
| Guardo le zone, respiro, non corro, aspetto | I watch the zones, I breathe, I don't run, I wait |
| Compro solo dove il piano l'ha deciso | I buy only where the plan decided |
| Con lo stop già scritto e il rischio preciso | With the stop already written and the risk exact |
| Non è una profezia, è un modo di guardare | It is not a prophecy, it is a way of seeing |
| Una mappa per il mare, ma non è il mare | A map for the sea, but not the sea |
| Grazie, Leonardo, figlio di Bonacci | Thank you, Leonardo, son of Bonacci |
| Otto secoli dopo, seguo ancora i tuoi passi | Eight centuries later, I still follow your steps |
How it was made
- Song — “Il Mercante e il Numero d’Oro”, made with Suno on Ack Studio’s account; Italian lyrics written for this film.
- Stills — Dali, SDXL in the studio’s “ACK-EURO70” ink style. Motion — MiniMax H3 image-to-video (two-phase high resolution) on the studio Windows GPU.
- Mathematics — squares, spiral, ratios and retracement levels are drawn by code from the exact values, not generated.
- Edit and subtitles — Kubrick; lyric timing measured with a local speech model.
The Venetian merchant is a story; Leonardo of Pisa and Liber Abaci are real. Using Fibonacci ratios on price charts is a modern practice, not a medieval one. Prices in the film are an illustration. Educational content, not financial advice — see Disclosure. Also from the studio: Night Sail.