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Here are two versions of the Quodlibet from Bach's Goldberg Variations. As you can see in the attachments, the ornaments and the recommendations as to how to play them are exactly opposite. One shows playing the trill (or shake) starting on the note above, while the other shows starting from below.

Why are both correct?

If I have a piece that does not show the annotation, how would I know which way to play the ornament?

Two editions of Bach's Goldberg Variations "Quodlibet"

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Why are both correct?

Maybe they're not.

In general, in everything, when someone tells you something, it pays to consider who is telling you that thing and why. Does the person have an agenda that might influence what they're saying or how they say it? What are the person's beliefs, and do you agree with those beliefs?

The same is true of music editors. If the edition include a section of critical notes explaining the editor's choices, read it. Perhaps the editor includes a discussion of this very question. Consider when the edition was prepared and when the editor was educated: what was the prevalent understanding of baroque ornamentation at the time? Does today's practice agree with it?

In particular, the practice of beginning a trill on the upper note fell out of fashion for a couple of centuries, so I suspect (also from the engraving) that the Russian edition is rather older and predates the revival of the fashion for using upper-note trills when performing music from the 17th and 18th centuries. The difference might also be geographical rather than temporal. That is, the editions could be roughly the same age but reflect a difference in opinion between Russia and Western Europe about the best way to play baroque music in general or Bach's keyboard music in particular.

Another possibility is that the two editions represent different schools of thought that have coexisted (and indeed still coexist) throughout the world. You can certainly find recordings of this piece with both forms of trill on the internet today. Do your research and make your choice.

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Often, Baroque composers left out ornaments so these may be the choice made by each editor. In addition, ornamental notation wasn't standard so different editors may interpret an ornament differently.

In addition, Baroque key signatures for minor keys were not consistent. Often one flat was left out or even one sharp.

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  • Baroque musicians rarely dealt with editors. Music publishing was uncommon. However, they did leave the ornamentation to the performer.
    – Aaron
    Commented Feb 16, 2021 at 7:06
  • The incomplete key signatures are addressed in that question.
    – guidot
    Commented Feb 16, 2021 at 10:58
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To collect some facts:

  • In baroque every player was prepared to supply his or her own ornaments. So they were either left out entirely, or reduced to a single + to suggest a place for some.
  • Especially for J. S: Bach this does not apply, however, since he provided a pretty detailed translation table (see Wikipedia, section baroque music or below)
  • Today few amateurs have the background knowledge to supplement ornamentation, let alone on the fly. So editors jump in suggesting reasonable choices. Unfortunately this heavily depends on the state of research and the willingness to reflect it, parameters significantly changing over the centuries This is the reason for the different examples.
  • Currently there are urtext editions, giving the pure intentions of the composer (indispensable for any professional preparing a recording or concert) and edited ones; modern editions clearly indicate, what was added by the editor, so the performer has the choice to deviate from it.

Bachs ornaments

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  • Regarding the Wikipedia link you provided: I suggest that you copy and paste the picture of that ornament table as that gives a clear answer to the question, and the answer should be posted here and not on an external page. External pages can certainly be linked to as further reference, but as I said the answer to the question should appear here. Commented Feb 16, 2021 at 17:08

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