Create Cadence via API

I'm trying to create a Cadence (ActionCadence) via Postman using SObject Create and I receive the error [{'message': 'entity type cannot be inserted: Cadence', 'errorCode': 'CANNOT_INSERT_UPDATE_ACTIVATE_ENTITY', 'fields': []}]. 

I can create Cadences via the UI with no issues. 

Is it possible to create ActionCadence and ActionCadenceSteps via the API? 

I'm trying to solve for a use case where I have a sequence of 3 emails that should be generated over a week and automatically sent. Each email in the sequence contains unique content for the prospect. I want to create a new Cadence record via the API for each Prospect, create unique email templates via the API (no issues here), create the Cadence Steps via the API and assign the unique template to each email step, then enroll a single Prospect into their designated cadence.

Thanks!