how many half steps in a perfect 4th

The richest woman in the world, Sarah, returns to the US to attend the wedding ceremony of her only son, Teddy But she‘s mistaken by Teddy's fiancée Lucinda as Teddy’s mistress, so Lucinda brutalizes Sarah, insults her, and takes indecent photos of her. Until Teddy arrives and furiously yells：Sarah is my mom!

In her past life, Myla Scott sacrificed the respect and dignity of being the eldest daughter of the Scott family to marry Shawn Ford, only to endure endless humiliation. In Halton, everyone knew that Shawn's true love was Susan Quinn, and Myla was nothing more than an afterthought. Shawn despised her, drained every last ounce of value from her, and left her to die a painful death on the operating table. But this time, in her second life, Myla is determined to take control. She focuses on rebuilding herself, striving for success in both her career and love life. What she doesn't expect is for her cold and indifferent ex-husband to suddenly change, becoming obsessed with winning her back. As their complicated relationship reignites, the truth behind her tragic death in her past life begins to surface.

Wendy Shaw has just wrapped up a mission in ancient time when the System delivers news that stops her cold. Her best friend Laura Harper has been killed by a man who never deserved her. Wendy takes the new assignment without hesitating. She returns to the 21st century as the true Xavier heiress, steps into a marriage meant for the family's fake daughter, and walks down the aisle to Steve Hart, the scarred eldest son everyone assumes is a punishment posting. Her mission is to make Steve fall for her.Nobody takes Wendy seriously. The girl from the countryside is supposed to crumble under the Hart family's scrutiny. Instead, Steve's regard for her deepens steadily, and Wendy rises to become general manager of Hart Corp without breaking a sweat.When she finally turns her full attention to Mark Hart, the second son whose hands are stained with Laura's death, everything she has built points in one direction. He never saw her coming. That was always the plan."

Monica’s first love was the high school quarterback, Sebastian, who grew up to be a star football player while Monica is now just a cleaner. Sebastian resents Monica for aborting their baby seven years ago, but little does he know that Monica has always been deeply in love with him - until their secret child Ian calls him Dad!

Tyson Gray transmigrates into a beast taming world as the most humiliating thing imaginable: an F-rank little yellow chick, freshly discarded by the S-rank campus belle who wants nothing to do with him.What she throws away turns out to carry an ancient phoenix bloodline and a devouring evolution system that compounds with every creature he absorbs. He contracts with Esme Sutton, an E-rank beast tamer whose own contracted beast abandons her but whose potential is off every known chart, and the two of them begin climbing together. From small yellow chick to Cinder Hawk, to Inferno Crest, to Immortal Phoenix. Every opponent who looks down at them gets a front row seat to the correction.By the time the Demon Lord and the Wood family's schemes fully surface, Tyson and Esme are no longer something anyone can afford to underestimate. One phoenix, one tamer, completely undefeatable.

Clare was the woman Axel begged and coaxed for—writing 99 love letters—before finally winning her hand in marriage. By their fifth year,however, Axel grew restless and began spending time with a young nurse. The girl, Emma, came from a poor family yet carried herself with quiet pride. When she firmly rejected the black card Axel offered,declaring she would never be anyone's kept woman, he became obsessed. Axel started appearing around Emma more and more,drawing the attention of all their friends, while briefly forgetting the wife he had once courted with 99 heartfelt letters. Clare neither cried nor argued. Instead, each time Axel broke her heart, she burned one of those letters. And when the last of the 99 was reduced to ashes, it would mark the day she left him for good.

Brilliant but penniless top student Lucia Gray carries a secret list of names she swears to take revenge on. With the help of her best friend Megan Cole, she sets her sights on Sebastian Duvall, the most powerful man in Northvale.Every move she makes is calculated, every word carefully chosen.Yet in this dangerous game of strategy and desire, it is Sebastian who finds himself drawn in—captivated by Lucia's intelligence, and falling for her one step at a time.Across the chasm of wealth and status, the two clash, conquer, and ultimately discover something far greater than victory—an unexpected, all-consuming love.

Sophie Lee, the adopted daughter of the Lee family, loses her fiancé to her sister. By a twist of fate, she marries retired Captain Yale Zeller. In the midst of small-town life, their marriage of convenience grows into true love, as they face life's ups and downs together.

Once, everyone admired May White. She was loved, protected, and wrapped in happiness, but one day, her life suddenly collapsed. Her tutor, Sara Milton, happened. It led to May's father's betrayal, brother's death, and mother's madness. That woman destroyed everything. May discarded her name and reappeared before Sara as "Amy Black." Hidden behind her smile was the revenge she planned for 20 years. Now, it's your turn to suffer.

Anna Poole had faced hardships since childhood. While trying to resolve a company crisis with her good friend, Serene Cox, Anna was drugged and sold to Mr. King. After Anna injured Mr. King and escaped, she ended up in the room of another man, Zach Howl, who was also under the influence of an aphrodisiac. As a result, they unexpectedly became intimate. As soon as Anna regained consciousness, she decided to confront Serene and accidentally overheard a conspiracy between Serene and the supposedly deceased Bryan Lane. Outraged, Anna confronted Serene, who injured her and caused a fire to start. In a life-threatening situation, Anna was saved by Waver Taylor, who had just returned to the country. Ten months later, she gave birth to twins, and one of them was taken away by the Browns. Along with a doctor, the Brown mother and daughter falsely claimed that the child died to suffocation.

In his past life, musician Zack Shelley was framed by his adopted brother Zed Shelley and fiancée Ruby Lewis, left disabled after seven days trapped in a mudslide, and died betrayed by his own sisters. Reborn on the day of the disaster, he is determined to survive and reclaim his stolen life. Despite Zed's efforts to sabotage rescue attempts, Zack endures six grueling days and escapes. He exposes Zed's plagiarism at a pivotal piano competition, but his sisters, Flora and Luna, turn against him even more. Heartbroken, he severs ties with his family. With the help of business titan Whitney Lynd, he defeats Flora in a public contest and unmasks Zed at a high-society banquet. By the time his sisters overhear the truth, it's too late—Zack has already moved on, ready to start a new life abroad, leaving his past behind for good.

While helping her sister Liza Seatter escape an abusive relationship, Zoey Seatter encounters mercenary Adrian Morris and his brother Franklin Morris.Zoey has a one-night stand with Adrian and discovers she’s pregnant a month later. Just as she’s about to terminate the pregnancy, Adrian appears and proposes marriage, bringing both Zoey and Liza home to live with them. Under the same roof, Zoey gradually wins over Adrian’s heart, while Franklin slowly falls for Liza. After surviving a jewelry store robbery, attending prenatal classes, and dealing with Liza’s abusive ex, the four of them finally find their happily ever after.

Nancy, an ordinary university student, saved the blind tycoon Yale. Since then, they fell in love and promised to stay by each other's side.However, due to their social status gap, Nancy was forced to leave. Before leaving, she donated her cornea to Yale and gave birth to a girl named Nancy and a boy named Norman. Six years later, Nancy lived a tough life to raise the two kids. In order to save her daughter who was ill, she had no choice but to go to Yale for help. While treating their daughter, Nancy and Yale went through misunderstandings several times. But in the end, they were back together to support each other for the rest of their lives.

Gabe White's birthday becomes a tragic turning point when his wife, Wendy Green, and their daughter, Jane White, are involved in a car accident with Nora Yale, who also plans to celebrate Gabe's special day. Gabe arrives at the scene as a doctor but makes a shocking decision—he chooses to save Nora and her son, Randy. Tragically, Jane succumbs to her injuries, and Gabe dismisses Wendy's anguish as irrational jealousy, even contemplating divorce. As their marriage crumbles, Nora, harboring a secret agenda, manipulates the situation to drive a wedge between the couple. Her interference escalated into a full-blown disruption at Jane's funeral until the police took her away. The unexpected find of Jane's file at the hospital sends shockwaves through Gabe. His realization of Jane's death comes too late, leaving him tormented by regret and loss.

Tired of the life of violence, Frank becomes an ordinary taxi driver, hoping to live out his days in peace. However, when he accidentally rescues two girls from kidnappers, he's hired as the driver for one of them, Wendy. What seemed like a simple job quickly turns dangerous—Frank discovers that Wendy is the prime target of multiple powerful forces...

Julie Scott, once the revered princess of Xandar, is brought down by the very emperor she served. Fearing her growing influence, he betrays her, setting a deadly trap within the palace walls. Surrounded and outnumbered, Julie fights to her last breath. By her side, her devoted husband, Paul Murray, chooses to die protecting her. When Julie opens her eyes, she's reborn as the wife of a wealthy modern heir who looks exactly Paul but is cold and distant. To make matters worse, a scheming mistress challenges her at every turn. But Julie won't be defeated—she's determined to tame the chaos, build her own fortune, and handle her distant "husband" on her terms.

Falsely accused of stealing a jade pendant and humiliated in his divorce, Curtis's life took a dramatic turn when wealthy Sullivan searched for his long-lost son, with the pendant as the key clue. Meanwhile, Willene, drawn to Curtis's mysterious ties to a powerful family, pursued him. At a bar, Curtis's singing captivated the audience, but his ex-wife, Xamira, sabotaged his performance and was later exposed for her infidelity. When Curtis's true identity was revealed, Xamira attempted to win him back, but he chose to marry Willene. During their wedding, Xamira sacrificed herself to save Willene, dying in Curtis's arms.

On her wedding day, Rachel's fiancé elopes with her sister, so she marries his younger brother instead—the notorious playboy Liam.Everyone thinks it's a joke. But she's a general's daughter who knows how to wield a blade, play politics, and turn a wastrel husband into a weapon who conquers enemies and hands her the ultimate power.