The polar opposite of the Hibiki Tachibana everyone is more familiar with. This is the Hibiki Tachibana from a parallel world. Cold-hearted and short-tempered, this Hibiki lived the same life as the Prime Hibiki up until the events of the Zwei Wing Concert.
Following the concert, her best friend, Miku Kohinata, was forced to move away as per the wishes of her family. Seemingly abandoned by everything and everyone around her, the harsh treatment thanks to the witch-hunt for disaster survivors caused Hibiki's personality to drastically change, wanting to remain alone so as to not be abandoned again, despite the pain this caused her.
Though her personality has changed, at her core, she is still Hibiki Tachibana. Her desire to help others remains ever-present, though she frequently excuses her actions as the actions of someone who has nothing better to do.
During her debut event, Kageri Saku Senkō, she was saved by the Miku Kohinata of the prime universe, finally realizing her desire to reach out and connect with others, finally relearning the warmth that arises as a result of it. The actions of the prime universe's Miku also allowed Hibiki to reunite with her own world's Miku Kohinata, at last regaining the sunshine she had lost.
Though she's still awkward and short-tempered, she has been doing her best to improve upon herself since then... as well as protect the warmth that she's regained.
That being said, during the events of Lost Song, she was forced to face despair yet again. Miku Kohinata's life is seemingly lost to a multidimensional threat in front of Hibiki's eyes, which sends Hibiki into a vengeful rage that results in many decisions that result in the loss of countless lives. Though ultimately, Miku was revived, and the day is saved... the guilt remains on Hibiki's shoulders. Thus, she utilizes the power of the Elekleid (NOT a Symphogear), she travels through parallel worlds on a journey to help others... before one day eventually returning to her Sunshine.
Hibiki finds it hard to imagine herself as anything like her upbeat other self, and yet there she is right in front of her. She feels that this upbeat and genki attitude is how Hibiki Tachibana is "supposed to be", and laments how different they are. Still, she was saved by this Hibiki, and therefore cares for her a lot. It's almost like having twin sister...
As time passed, Miku made a number of attempts over time to try and reunite with Hibiki, saving up enough money by herself in order to pay for round trips once she was old enough to convince her parents to let her go. Unfortunately, she was never able to locate Hibiki, even after learning of her attendance at Lydian.
Fortunately, thanks to the efforts of the Miku Kohinata from the prime world, Hibiki was finally able to reunite with her Beloved Sunshine, and Miku started attending Lydian herself as well.
Things would take an unfortunate turn, however, during the events of Lost Song. Miku Kohinata was an unfortunate casualty during the attack of the Flame Giant Susanoo, a guardian of the multiverse who had gone berserk due to excessive amounts of sustained damage. Though in actuality, Miku was "killed" by being turned into energy by a nearby Levenger, though it had appeared as though Susanoo had killed her.
At the end of Lost Song, Hibiki had thought she had said goodbye to Miku forever... but fortunately for her, Miku was restored after the final battle. Hibiki had regained the Sunshine she thought she had lost forever.
The Shenshoujing that she wields was given to her by this world's version of Section 2, which she was allowed to keep as thanks for her efforts in this world. To Miku, it doesn't matter if this Hibiki is from another world, because Hibiki is still Hibiki. Thanks to her, she was able to get Hibiki to start opening up, and eventually even saved her from the fusion with the Gungnir in her chest.