This idea takes the repertoire chosen as a starting point. The score, in essence, can be the starting point for the ability to learn to paraphrase it, to be able to reduce it and transform it to something else, to transpose it, to be able to embellish when necessary or even to recompose it. This is a useful skill to have in addition to being able to read and perform music notation exact from the music score.
The whole point is to train the ear in relation to the inherent knowledge of the instrument but also the awareness of phrasing, articulation, melodic contour, rhythmic shape, harmony and appropriate organ registration etc.. It includes all the elements of improvisation but within the stylistic content of the chosen repertoire and within the context of the piece that is the starting point.
Often, the secret is knowing which features to distil from a particular style. You become very close and aligned to the creative process and the essence of the expressivity of the piece. It brings together and unites many aspects of musicianship to produce a creative whole.
For such as Mozart, Beethoven et al, composing, improvising and playing were inseparable parts of music making. Almost all the classical music we play nowadays was written by composers who naturally combined these elements. The tradition did not disappear but unfortunately got lost in the advent of institutional musical education where music has to be played in a certain way and with a certain sound and in a certain mould. Also, with the development of the fortepiano in the eighteenth century and the increased capacity for gradation of sound, improvisation was perhaps to a certain extent overshadowed with interpretation just as ornamentation was perhaps somewhat replaced with dynamics. Performers nowadays do not necessarily learn how to compose. There may well be a little improvisation on certain student education courses but often resulting in nothing deeper than a narrow learning of the tune rather than the language. Keyboard studies are important which should include the harpsichord, clavichord and organ – crucial for a broad development and familiarity of inherent performance practice and performing music from the past.
In summary, ‘fooling around’ on a keyboard instrument such as the organ with an original score, can, produce some great music on the highest level attainable through paraphrasing, transforming, embellishing and/or altogether recomposing to produce something completely original.