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"Exponential Entropy"
Music

"Exponential Entropy" (指数崩壊 ~機工城アレキサンダー:天動編~, Shisū Hōkai ~Kikō-jō Arekisandā: Tendō-hen~?, lit. Exponent Collapse ~Machine Castle Alexander: Geocentrism~) is a boss theme from Final Fantasy XIV: Heavensward for the Cruise Chaser.

It was composed by Masayoshi Soken. Michael-Christopher Koji Fox both wrote the lyrics and sung the song.

Game appearances[]

Final Fantasy XIV[]

Final Fantasy XIV: Heavensward[]

"Exponential Entropy" is the boss theme of the Cruise Chaser, and plays when he is fought in Alexander - The Heart of the Creator Alexander - The Heart of the Creator.

It is the 35th track in The Far Edge of Fate: Final Fantasy XIV Original Soundtrack.

Composition[]

It is a mechanical, repetitive theme, possibly meant to foreshadow the stable time loop in which Alexander and his summoners travel. The passage about "triangulation" and "predestination" could refer to how Alexander is triangulating the Warrior of Light by only communicating with them through Quickthinx Allthoughts, and how not even Alexander can change the future without bringing ruin to it—so in the end, the victory of the Warrior of Light was predestined.

The final two stanzas of "Exponential Entropy" are borrowed from the leitmotif of Alexander, "Locus".

The third stanza of "Exponential Entropy" was used in a trailer for Soul Surrender, when revealing gear and Aquariums.

Lyrics[]

The official lyrics were released on The Far Edge of Fate: Final Fantasy XIV Original Soundtrack.

English
Forward and back and then go forward and back
And then go forward and back, then put one foot forward
×2
Transcendental minds unleashed
Exponential entropy
Forward and back and then go forward and back
And then go forward and back, then put one foot forward
×8
Time out of time (illumination)
Time out of time (illumination)
Time out of time (triangulation)
Time out of time (no destination)
Time out of time (illumination)
Time out of time (illumination)
Time out of time (predestination)
Time out of time (no destination)
Falling back right into the system of
Falling back on all that's erased
When fighting back right out of this system
Means falling back right into this space
Yes, falling back right in with the system
Who'll see you falling back to the end
When falling back is better than simply
Falling back into pieces again
Japanese translation
進み、遡り、そして進み、遡る
そして進み、遡り、そして一歩進む
✕2
超越した意識が解き放たれ
指数崩壊
進み、遡り、そして進み、遡る
そして進み、遡り、そして一歩進む
✕8
刻なき刻(光)
刻なき刻(光)
刻なき刻(三角法)
刻なき刻(目的地なし)
刻なき刻(光)
刻なき刻(光)
刻なき刻(宿命)
刻なき刻(目的地なし)
消されたすべてに依存するシステムに
流され込んで落ちてゆく
このシステムから抜け出すために戦うことは
この場所に戻ることを意味する
そう、お前を最下位に落とすシステムに
またもや流れ落ちてゆく
単純にふたたび壊されるより
後退する方がまだマシ

Live performances[]

The Primals: Zepp Tour 2018 - Trial By Shadow[]

"Exponential Entropy" was performed by the Primals in a live concert.

Arrangement album appearances[]

The Primals[]

An arrangement of "Exponential Entropy" appears in the Primals' debut album.

Journeys: Final Fantasy XIV ~Arrangement Album~[]

A band arrangement of "Exponential Entropy" is performed by the Primals which appears in this album.

Etymology[]

In mathematics, the exponential function is the function whose derivative is equal to itself. The exponential function has a higher rate of growth than most other commonly used functions, such as polynomials and as such is used in common speech to refer to a rapidly increasing quantity.

In thermodynamics, entropy is a quantity that represents the ability of a system to use its internal energy to do work, and because it is related to the number of possible microstates of the system, it is popularly used as a measure of "chaos" or "disorder". The Second Law of Thermodynamics guarantees that the total entropy of the Universe is always increasing, unlike most other physical quantities, which are conserved. As such, entropy is closely associated with time.

In psychology, triangulation is a technique used to manipulate an individual by only speaking to him or her through another individual.

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