Neat in Chinese / Japanese...

整然 is orderly, systematic, well-organized, trim, neat, tidy, and accurate in Japanese Kanji and old Korean Hanja.

This would be understood but is not used in Chinese languages.

When reading an account of some battles in China, I came across the Chinese word, 嚴整. As it turns out, 嚴整 is only used in military circles to describe neat, orderly, and well-disciplined troops. Perhaps this is actually closer to the meaning I was taught while in the U.S. Marines.

The first character literally means stern, serious, strict, or severe (it can also mean airtight or watertight.
The second character means exact, in good order, whole, complete, and orderly.
Together, these two characters multiply each other into a word that expresses the highest military level of discipline.

See Also:  Self-Control | Will-Power

齊 is a single Chinese character that can mean: neat; even; level with; identical; simultaneous; altogether; to even something out; equal; uniform; complete; perfect; equalize; alike; at the same time; altogether.

齊 is used in the typical Chinese language as well as in Chinese Buddhism. It also has the same meaning in old Korean Hanja.

Chinese Note: This can be Qi or Chi kingdom in China during the Spring and Autumn Period and the Period of the Warring States. It can also be the Chinese surname Qi or Chi.

Japanese Note: In Japanese, this Kanji is usually read as a male given name romanized as Hitoshi (there are other Hitoshi characters) or the Chinese kingdom of Qi / Chi. it’s not often understood in Japanese with the same meaning described above. Thus, this character is best if your audience is Chinese.

整 is a single Chinese character that can mean: in good order, whole, complete, entire, in order, orderly, to repair, to mend, to renovate, and/or to fix something or somebody.

This was added for a customer who wanted a single character that meant orderly. It's kind of unusual for a wall scroll.

My Korean Hanja dictionary defines it as orderly, neat, tidy, and/or whole.

Note: In Japanese, this Kanji is usually understood as a male given name Hitoshi (other Kanji can also be Hitoshi). It is used in combination with other Kanji or Hiragana to create words about orderliness. Unless your name is Hitoshi, this single character is best if your audience is Chinese.