Thanks for reaching out.

We have recently began listing quarter and half time markets for a small number of bookmakers and will be adding more over the coming months.
These markets are only accessible using the event-odds endpoint for subscriptions on our website.

Endpoint documentation: https://the-odds-api.com/liveapi/guides/v4/#get-event-odds
Website subscriptions: https://the-odds-api.com/#get-access

Valid moneyline market keys are h2h_q1, h2h_q2, h2h_q3, h2h_q4, h2h_h1, h2h_h2
The same applies to spreads and totals markets (for example, totals_q1).