traditionell
traditional
In accordance with a long-standing habit, custom, or tradition.
In Bayern tragen viele Menschen zu Festen traditionell Lederhosen und Dirndl.
In Bavaria, many people traditionally wear lederhosen and dirndls to festivals.

traditional
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traditional
In accordance with a long-standing habit, custom, or tradition.
In Bayern tragen viele Menschen zu Festen traditionell Lederhosen und Dirndl.
In Bavaria, many people traditionally wear lederhosen and dirndls to festivals.

The adjective 'traditionell' (traditional) is derived directly from the noun 'die Tradition' (tradition). If you know the noun, you can easily work out the meaning of the adjective.
Das Fest folgt einer langen Tradition in unserer Familie.
The festival follows a long tradition in our family.
'Traditionell' (traditional/traditionally) can not only describe a noun, e.g. 'traditionelle Musik' (traditional music), but also function as an adverb for an entire action. It then means 'following tradition'.
Traditionell essen wir an Weihnachten Gans.
Traditionally, we eat goose at Christmas.
The adjective is often connected with aspects of culture and society. Typical phrases are 'traditionelle Küche' (traditional cuisine), 'traditionelle Werte' (traditional values), 'traditionelle Feste' (traditional festivals), or 'traditionelle Rollenbilder' (traditional gender roles).
Die traditionelle japanische Küche ist für ihre Ästhetik bekannt.
Traditional Japanese cuisine is known for its aesthetics.
modern
'modern' and 'traditionell' often describe two different ways of doing or designing something. 'modern' fits when something seems new, current, or progressive. 'traditionell' fits when something follows an old habit, a custom, or a long-established form. The contrast is not always good versus bad. Something can be modern and practical, or traditional and valuable. The main point is whether something is more new or more rooted in a long tradition.

Morgen gibt es in der Nachbarschaft ein traditionelles Fest.
Tomorrow there will be a traditional festival in the neighborhood.
Am Montag hat der Verkäufer ein modernes Lernprogramm vorgestellt.
On Monday, the salesperson presented a modern learning program.