I have the following model:
S belongs to T
T has many S
A,B,C,D,E (etc) have 1 T each, so the T should belong to each of A,B,C,D,E (etc)
At first I set up my foreign keys so that in A, fk_a_t would be the foreign key on A.t to T(id), in B it'd be fk_b_t, etc. Everything looks fine in my UML (using MySQLWorkBench), but generating the yii models results in it thinking that T has many A,B,C,D (etc) which to me is the reverse. 
It sounds to me like either I need to have A_T, B_T, C_T (etc) tables, but this would be a pain as there are a lot of tables that have this relationship. I've also googled that the better way to do this would be some sort of behavior, such that A,B,C,D (etc) can behave as a T, but I'm not clear on exactly how to do this (I will continue to google more on this) 
What do you think is the better solution?
UML:
Here's the DDL (auto generated). Just pretend that there is more than 3 tables referencing T. 
-- -----------------------------------------------------
-- Table `mydb`.`T`
-- -----------------------------------------------------
CREATE  TABLE IF NOT EXISTS `mydb`.`T` (
  `id` INT NOT NULL AUTO_INCREMENT ,
  PRIMARY KEY (`id`) )
ENGINE = InnoDB;
-- -----------------------------------------------------
-- Table `mydb`.`S`
-- -----------------------------------------------------
CREATE  TABLE IF NOT EXISTS `mydb`.`S` (
  `id` INT NOT NULL AUTO_INCREMENT ,
  `thing` VARCHAR(45) NULL ,
  `t` INT NOT NULL ,
  PRIMARY KEY (`id`) ,
  INDEX `fk_S_T` (`id` ASC) ,
  CONSTRAINT `fk_S_T`
    FOREIGN KEY (`id` )
    REFERENCES `mydb`.`T` (`id` )
    ON DELETE NO ACTION
    ON UPDATE NO ACTION)
ENGINE = InnoDB;
-- -----------------------------------------------------
-- Table `mydb`.`A`
-- -----------------------------------------------------
CREATE  TABLE IF NOT EXISTS `mydb`.`A` (
  `id` INT NOT NULL AUTO_INCREMENT ,
  `T` INT NOT NULL ,
  `stuff` VARCHAR(45) NULL ,
  `bar` VARCHAR(45) NULL ,
  `foo` VARCHAR(45) NULL ,
  PRIMARY KEY (`id`) ,
  INDEX `fk_A_T` (`T` ASC) ,
  CONSTRAINT `fk_A_T`
    FOREIGN KEY (`T` )
    REFERENCES `mydb`.`T` (`id` )
    ON DELETE NO ACTION
    ON UPDATE NO ACTION)
ENGINE = InnoDB;
-- -----------------------------------------------------
-- Table `mydb`.`B`
-- -----------------------------------------------------
CREATE  TABLE IF NOT EXISTS `mydb`.`B` (
  `id` INT NOT NULL AUTO_INCREMENT ,
  `T` INT NOT NULL ,
  `stuff2` VARCHAR(45) NULL ,
  `foobar` VARCHAR(45) NULL ,
  `other` VARCHAR(45) NULL ,
  PRIMARY KEY (`id`) ,
  INDEX `fk_A_T` (`T` ASC) ,
  CONSTRAINT `fk_A_T`
    FOREIGN KEY (`T` )
    REFERENCES `mydb`.`T` (`id` )
    ON DELETE NO ACTION
    ON UPDATE NO ACTION)
ENGINE = InnoDB;
-- -----------------------------------------------------
-- Table `mydb`.`C`
-- -----------------------------------------------------
CREATE  TABLE IF NOT EXISTS `mydb`.`C` (
  `id` INT NOT NULL AUTO_INCREMENT ,
  `T` INT NOT NULL ,
  `stuff3` VARCHAR(45) NULL ,
  `foobar2` VARCHAR(45) NULL ,
  `other4` VARCHAR(45) NULL ,
  PRIMARY KEY (`id`) ,
  INDEX `fk_A_T` (`T` ASC) ,
  CONSTRAINT `fk_A_T`
    FOREIGN KEY (`T` )
    REFERENCES `mydb`.`T` (`id` )
    ON DELETE NO ACTION
    ON UPDATE NO ACTION)
ENGINE = InnoDB;