The entire process takes 40 minutes and Mr Takashi Kitazawa, the owner's son, tells me that the factory can process up to 1,200kg of tea leaves in a day.
Although 1kg of leaves from the autumn harvest sells for about 600 yen, he adds, the higher-quality leaves from the spring crop go for 10 times that amount as they are picked by hand, rather than machine-harvested. Stems, on the other hand, sell for only 50 yen a kg because of their coarser, less refined flavour.
Modern technology - specifically air-conditioned warehouses - is responsible for the year-long supply of what is traditionally a seasonal crop.
On my visit to one of these warehouses, it is stuffed to the rafters with enormous wooden crates and paper-wrapped parcels on tall metal racks.
Cold mist rolls out of the open doors and the single-digit temperature is low enough to raise goosebumps on my arms. What I notice most, however, is the fresh, sweet fragrance of tea that permeates the air.
TEA AND THOUGHTFULNESS
I hear the judges before I see them. They are huddled around long tables laden with dozens of teacups, chanting aloud in unison, counting down to the end of the 90-second steeping time.
At the 38th Uji Tea Competition, held to celebrate the best tea in what is widely accepted as Japan's best tea-growing region, points are given for taste, colour and flavour and each tea is sniffed, tasted and scrutinised with an expert eye.
I peek at the score sheet for flavour, which is filled with at least a dozen smaller boxes. Our interpreter tells me that these are for the judges to indicate if a tea has a "green smell", "leaf damage smell", "is too damp" or any of a dozen other subtle characteristics.
It would bewilder anyone but a connoisseur, although in the case of Mr Motoharu Koyama, it is the task he has been trained for by his father since he was a boy.
Mr Koyama is the director of Marukyu-Koyamaen (marukyu-koyamaen.co.jp/english; tours available from 500 yen), a tea company that traces its pedigree back to the 17th century.
Part of his job is to re-create the company's signature tea blends with each year's new harvest - a task that requires him to create the flavours of last year's blends with this year's leaves, completely from memory - and he has therefore never indulged in tobacco or spicy foods that could ruin the sensitivity of his palate.
During a tour of one of his firm's production plants, a winding maze of modern equipment for processing raw tea leaves, our guide leads us to a dark window and flicks on a single dim light.
Behind the window, an army of round, grey electric stone mills stretch out into the shadows, endlessly grinding tea leaves into fine matcha powder with each revolution.
Our guide, Ms Cristina Geisse, tells us they are kept in the dark because light and heat can cause the powder to lose its taste. Each stone mill takes an hour to grind just 40g of matcha - enough to make only 20 small bowls of tea.
She goes on to explain that historically, the annual tea harvest was an occasion for celebration as "by the end of the season, you would probably be drinking very bad tea".
"To celebrate, families would wear new kimonos and change the tatami mats," she adds.
She hands me a bowl of sweetsmelling leaves, a blend perfected over generations and the product of months of painstaking labour.
Now I understand why the Japanese have venerated this beverage, which we have been drinking for days and why it is traditionally offered to honoured guests.
And in response, I can only say "itadakimasu", or in English, "I humbly receive".
•The writer's trip was hosted by the Japan External Trade Organisation.