Answer:
I believe that the main factor that makes a game memorable is its soundtrack. A game without a soundtrack isn't nearly as immersive or memorable when there isn't always something in the background to accompany the gameplay, and tie the whole experience up together. Games like Super Mario Bros, Terraria, and Undertale share the same common characteristic: the melodies are easy to recreate, and their soundtracks have leitmotifs everywhere; when you hear a melody that you heard at the beginning of the game later on in the playthrough, you reminisce about your past experience with the game, therefore strengthening your memory, and potentially bond with the game, remember it forever. Forgettable games tend to have uninteresting soundtracks, unoriginal soundtracks that don't pique anyone's interest, soundtracks that just don't have any memorability tied to them. The worst offender for game soundtracks to make them forgettable is having the wrong kind of music for a moment in a game. High-intensity boss battles should have fast-paced music, with chords and instrument choices that will get your heart racing, maybe even adrenaline pumping, along with immersing the player in the same energy displayed in-game along with the soundtrack playing. Doing something mundane such as walking around a peaceful, happy village should have either tranquil or somewhat upbeat music to accompany the scene. Overall, music that fits with the game and is easily recognizable tends to make the game more memorable, as long as the gameplay itself has some sort of substance rather than relying only on original soundtracks, because you can't have a memorable game by just having one of either.
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