Delta Air Lines has uncorked a rebranding of all of its fare types — upending the Basic Economy/Main Cabin/Comfort Plus/etc. order that has dominated the big U.S. airlines for the last decade or so. The new ticket types can be booked now for trips starting in October,

Delta Air Lines Inc. will stop selling tickets under the “basic economy” label that many large carriers have adopted in recent years to compete with no-frills offerings of discount competitors.