Stacked Index Templates

Is it possible to stack index templates so that the index names match increasingly specific names, and apply all settings?

Or, should I just ask, "What's the best way to effectively do something like this:"

index template for "alpha-" has settings and mappings in it.
index template for "alpha-beta-
" has some more specific mappings that apply only to "beta" things.

An index that is created with the name "alpha-beta-2016-04-08" gets all the mappings from the "alpha-" template, then all the settings from the "alpha-beta-" template. (it's ok if beta overwrites alpha)

Thanks!

Yes, see https://www.elastic.co/guide/en/elasticsearch/reference/current/indices-templates.html#multiple-templates