Odette

Odette is the name of a pair of ice skates infused by the soul of the Demon of the same name, a woman who traded her soul for eternal youth before eventually becoming a demon affiliated with ice, by Rodin. The weapon is exclusive to Bayonetta, Jeanne's version of the weapon is called Karen. They can only be used on the foot slot and allow Bayonetta to move at a higher speed than usual, the weapons are also affiliated with the ice element and as such can be used to walk over lava.

In game description
"These skates hold the soul of the demon witch Odette, who traded her soul for eternal youth, transforming into a swan. Residing in the frozen hell of Cocytus, legend has it that Odette made a pact with the stubborn demon queen Odile, allowing her to fall to her preferred circle of hell. Odette, said to have prided herself on her ice magic abilities, lends these skates the terrifying ability to summon the cold."

How to Obtain
In Bayonetta, the Golden LP for the weapon is broken into three pieces all found in Chapter VI.The first one it is located in a chest just behind Bayonetta when the level start. The second piece is located soon after the first, in the area where you fight the two Inspired. Near the entrance there's a pile of rocks, destroying these reveal a chest containing the LP piece. The third one is given automatically later in the chapter as a reward for defeating the Joy.

Trivia

 * Odette is named for the protagonist of Swan Lake. Odile, mentioned in the game description, is the black swan and her rival.
 * Hideki Kamiya initially planned for the weapon to be named Odile, because it would "match the story better", according to his own words, but he decided to stick to a name more people were familiar with thus Odette.