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Discover Ludwig"the transposition" is correct and usable in written English
You can use it when you want to refer to an act of transposing something, or when you want to discuss the process of transposition. For example: "The transposition of this song from major to minor keys made it sound even more sorrowful."
Dictionary
the transposition
noun
The act or process of transposing or interchanging.
Exact(60)
The transposition is complete.
There may be a kind of logic to the transposition.
Fine though much of it is, the staging never quite justifies the transposition.
When I read it I was just astonished that the transposition is so invisible.
The transposition of gender roles is typical of Schreker's devious psychology.
The picture's chief attraction, apart from its gorgeous leading actress, is the ingenuity of the transposition.
The transposition to 1920s New York keeps the story in a sensible key.
The reason for the transposition, so the programme informs us, is that surrealism examined the psychological links between desire and aggression in ways not dissimilar to Handel's opera.
where ⊤ denotes the transposition operation.
The superscript 'T' denotes the transposition operation.
By "T", we mean the transposition.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com