Create a Modern Eco-Focused Logo

Design a logo that represents a sustainable eco-friendly brand. The logo should feature a vibrant green color palette, with elements such as a stylized leaf intertwining with a tree. The typography should be modern and sleek, emphasizing the word 'Eco' in a creative way. Incorporate subtle motifs of nature, like small flowers or butterflies, around the logo. The background should be a soft gradient, reminiscent of sunrise over a forest, projecting a sense of growth and harmony with nature. The brand name is: EcoHarmony.