The song takes place in the town of Enbizaka, Jakoku with the tailor Kayo Sudou. Although famous for her skill and good attitude, she often thinks about how her "lover" is unfaithful and never comes "home". One day, Kayo sees her "lover" walking with a woman in a red kimono. Observing how friendly he seems to be with her, she leaves in a jealous fit and eventually tailors a kimono while crying.
Sometime after, the tailor observes the town's concern over a crime being committed. Later on, Kayo sees her "lover" being comforted by a girl in a green sash and observes how good the girl looks in her clothes; afterwards she tailors a sash while crying. After noting the growing unease of the town, Kayo sees her "lover" buy a yellow hairpin for a girl and is shocked by his lack of boundaries. She then continues to work hard, noting that her scissors have changed color.
After finishing her work, she goes out to meet her lover, dressing in the kimono, sash, and hairpin, believing that she has become beautiful for him. Sometime afterwards, Kayo relates how the village is in chaos due to the murder of a family of four. She also relates that her lover had treated her terribly, greeting her as though she were a stranger. Commenting on how her scissors had turned red, Kayo continues to carry on with her work.
The song utilizes Megurine Luka'sVOCALOID2 voicebank. The instruments utilized within the song are piano, drums, glockenspiel, accordion, synth violin, and bass guitar. The song is also composed in reminisce of traditional Japanese music, using regional instruments such as the sanshin, biwa and fue.
The song begins with a short intro that appears in 0.10 and ends in 0.28. Then two verses can be heard, which resemble the intro, with first ranging from 0.29 to 0.44. A chorus follows, appearing in 1.00 - 1.17. After the first chorus, a bridge reminiscent of the intro is played. The song uses the intro, verses, bridge, and the choruses several times, and have a long alternative part between 4.13 and 4.55. It ends in a variation of the intro.
The song's melody and Enbizaka's aesthetic pays homage to EdoJapan.
When using different characters, 艶美 (enbi) and 坂 (zaka) translates as "beauty" and "slope"; fittingly, Enbizaka itself lies on a slope.
The song's English title, "Leviathan slope", is a reference to Leviathan, the patron demon of Envy; the term "slope" refers to the wordplay for Enbizaka.
Kayo asking her "love" if he finds her beautiful before killing him possibly alludes to the legend of Kuchisake-onna, the ghost of a woman who asks her victims the same question before killing them with scissors.
In the same note, he states that Kayo was originally a fisherwoman wielding a pink lance due to Luka's connection to Tako Luka and therefore octopuses.
While making the song, he didn't plan for the "unfaithful lover" to be represented by KAITO, although the illustrators pushed for the idea in the song PV and he simply followed it when making the novel.
During the song PV's ending credits, the name of Kai's represenative Vocaloid, KAITO, is covered in a censored red color, likely blood.
The song's depiction of the Enbizaka Murderer Scandal presents Kayo's motive as being out of the belief Kai Miroku was her husband, in contrast to the true reasons revealed in its corresponding novel; conversely, it matches Kayo's false testimony of why she killed the Miroku family during her trial.