General terms:
* Hair tie: This is a common and versatile term for any type of elastic band used to hold hair back.
* Hair elastic: Similar to hair tie, this term emphasizes the elastic nature of the band.
* Scrunchie: A specific type of hair tie made from fabric, often with a gathered or ruffled appearance.
* Ponytail holder: This term specifically refers to a band used to create a ponytail hairstyle.
Other types of hair accessories:
* Headband: A band worn around the head to hold hair back or as a decorative accessory.
* Barrette: A clip used to hold strands of hair in place.
* Bobby pin: A small, U-shaped pin used to secure hair in place.
* Hair clip: A general term for any type of clip used to hold hair.
* Hair comb: A comb used to style or secure hair.
Descriptive terms:
* Elastic: This term simply describes the material of the band.
* Ribbon: A thin strip of fabric used to tie hair back.
* Cord: A thin, flexible strand used to tie hair back.
The best alternative for you will depend on the context and the specific type of hair band you are referring to.