There are at least two bands and one hip-hop artist named Intention:

1) Intention are long-running punk/hardcore band from Birmingham/the West Midlands, in the UK.

2) Intention is a hardcore band hailing from Brisbane, Australia. Forming from the remains of another local band, Intention has released a four track demo available for download from http://soundcloud.com/intentionhardcore

3) Intention is a young hip-hop artist out of Huntington Beach, California.

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