Hinokami Kagura

Dance of the Fire God (ヒノカミ), or simply Hinokami Kagura in the English Dub, is a Breath Style only known and taught by the Kamado family. It is passed on from father to son in every generation alongside the hanafuda earrings. The Kamado family uses the breath style within a ritual ceremony practiced every new year, where the Breath Style user offers the Fire God a dance from sunset to sunrise to ward off diseases. The dance is composed of twelve segments repeated throughout the night. The last user is Tanjiro Kamado, who learned the breath style from his father, Tanjuro Kamado.

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Breath of the Sun
The Breath of the Sun (の) is a style of swordsmanship utilized by the first Demon Slayer to use "breaths", Yoriichi Tsugikuni, and serves as the basis for other Breath Styles derived from it as a result of Yoriichi changing the breathing techniques to suit the individuals he taught. The derived styles eventually branched out into the main breaths: Breath of Water, Breath of Flames, Breath of Wind, Breath of Thunder, Breath of Stone and Breath of the Moon. Before Kokushibo died, he mentions that all swordsman who knew of the Breath of the Sun were killed by him and Muzan Kibutsuji, before proceeding to question why the Breath of the Sun still persists due to the existence of the Dance of the Fire God (ヒノカミ).

Kokushibo and Shinjuro Rengoku independently identified the Dance of the Fire God as the Breath of the Sun, the latter through the memoirs of his Demon-slaying ancestor. The two styles were later confirmed to be the same. There is a (previously unknown) thirteenth form, which can be learned from the Breath of the Sun as a Dance of the Fire God User, that is achieved by completing the twelve movements in succession.

However, Tanjiro remained uncertain of the breath style's true nature until he gained access to the memories of his ancestor, Sumiyoshi. His ancestor's wife, Suyako, requested to see the Breath of the Sun performed during Yoriichi's last visit to the family. Sumiyoshi memorized the movements and was gifted the hanafuda earrings by Yoriichi before parting. The breath style and earrings were then secretly passed on from father to son in the Kamado family every generation as a rite of passage. Henceforth, the Breath of the Sun became known as the Dance of the Fire God.

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Attacks

 * Dance - A single high-powered vertical slash.
 * Flash Dance - First used by Tanjiro Kamado. The user utilizes a similar method like the Thunderclap and Flash technique of the Breath of Thunder, allowing them to use an advanced version of Dance by inhaling huge amounts of oxygen, increasing the pumping of blood through the entire body, focusing it on the legs, and releasing it all to assault the target with a slash. This technique was capable of outspeeding Genya Shinazugawa and Nezuko Kamado, as well as the fleeing Hantengu, although it is still said to be slower than Zenitsu Agatsuma's Thunderclap and Flash.
 * Clear Blue Sky (の) - The user spins their body vertically to create a 360-degree slash. It is likely the model to the Breath of Water: Second Form - "Water Wheel."
 * Raging Sun - The user unleashes two horizontal slashes to hit or intercept an enemy from the front or side.
 * Fake Rainbow - The user utilizes this technique to evade incoming attacks with high-speed twists and rotations, thus creating afterimages. The afterimages work most effectively on enemies with good vision as they will probably fail attack the afterimage instead of the actual body of the user.
 * Fire Wheel - The user leaps behind the opponent and spins in the air while releasing a flaming attack in a circular motion.
 * Burning Bones - A circular slash that defends from imminent frontal attacks.
 * Sunflower Thrust - A single thrust attack with the point of the blade.
 * Solar Heat Haze - The user charges towards the target, attacking it with a haze covered slash that seemingly fails to land, but actually does hit the target.
 * Setting Sun Transformation - The user flips into the air to deliver an upended flaming sword slash.
 * Beneficent Radiance - The user spirals into the air to deliver a powerful slash to those caught in it.
 * Dragon Sun Halo Head Dance (の い) - Resembling a dragon, the user moves in circles to avoid enemy attacks and slashes then multiple times at the target. This technique was first utilized by Tanjiro in conjunction with Nezuko's Blood Demon Art Blood Burst to enhance the effectiveness.
 * Flame Dance - A two-combo strike which starts with a vertical slash and then a horizontal one right after.
 * Thirteenth Style - The user continously performs all twelve forms of the breath style in repetitive succession to increase the accuracy and agility of his movements. This form was created solely for the purpose of killing Muzan, since the repetition of all twelve forms aims to destroy Muzan's twelve vital organs (seven hearts and five brains) that move freely inside his body thanks to his shape-shifting ability.

Demonstrations

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Trivia

 * The kanji for "sun" has the same pronunciation as the kanji for "fire".