eg. Liebestraum no. 3, right hand, bars 1 and 2.
also Schubert Impromptu op. 90 no. 3
Lastly, any idea how this is achieved in Sibelius/Musescore?
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Actually this is nothing else than an arpeggio.
You can notate it like simple 4 voices piano part. (s.below)
In German we call this Akkord-Zerlegung (that is translated in english chord analysis) but this is nothing else than a guitar accompaniment or by a harp. So I'd call it just an arpeggio with a sustained (bass) note.
You'll have to notate the voices in different layers, but then you'll have to hide the rests in some voices to get a readable sheet product.
Try to notate it the 4 voices in 4 different channels and systems and then mix them together in one grand staff.
any idea how this is achieved in Sibelius/Musescore?
Notate the in Sibelius 4 different voices:
or 2 voices in the treble clef and 2 voices in the bass clef:
and if you have all 4 voices in one staff you can separate them later:
You'll need different voices to notate these (see this MuseScore handbook page; Lilypond uses the same terminology).
I'm not sure this particular situation has a specific term. It looks like a melody-dominated homophony the right hand is doing a part of the accompanying, usually the job of the left hand.
Another well-known example is the first movement of Beethoven's Moonlight Sonata, which is described as follows:
A melody that Hector Berlioz called a "lamentation", mostly by the right hand, is played against an accompanying ostinato triplet rhythm, simultaneously played by the right hand.