Omnisexuality

Omnisexuality is a sexual orientation. A person who is omnisexual can form attraction to all genders. Gender will usually play a role in the person's attraction. It can be seen as a form of multisexuality, or non-monosexuality.
Omnisexuality can be described as being between pansexual and bisexual. It has characteristics from both. However, there are clear differences. Bisexuality is attraction to more than one gender, and is often used as an umbrella term. Pansexuality is attraction regardless of gender. Omnisexuality is attraction to all genders, but gender will play a role in that attraction.