The phrase "rising sequence" is correct and usable in written English.
You can use it to refer to a sequence of events or items that generally increases in intensity, complexity, size, etc. Here is an example: "The increasing demands of the job created a rising sequence of stress and frustration."
It is the second in Cooper's The Dark Is Rising sequence.
I utterly adored the Dark is Rising sequence as a child.
There's a mountain called Cadair Idris, which plays a very central role in The Dark Is Rising sequence.
Susan Cooper's evocative The Dark Is Rising sequence charts a battle between the forces of light and dark.
In the early 1970s, books like Lord of the Rings and The Dark is Rising sequence by Susan Cooper were all the rage.
Among Americans, delayed gratification was the more popular approach, thus supporting the psychologists' hypothesis that Americans prefer a rising sequence in life.
His music is often propelled by rising sequences of climactic outbursts, showing the influence of Richard Strauss.
After this statement, which ends in homophony, the instruments begin a short section in which runs in rising sequences alternate with the fanfares, in which the voices are later embedded.
The rise of the chord sequence It might seem rather obvious to suggest that a rising chord sequence or melody is going to be more optimistic, but that doesn't mean it's not true.
In football, soccer and baseball, there is only the Wave, the sweeping mass of spectators rising in sequence around a stadium.
Those moments can be heartstopping, like the line of dancers who cross the stage to a rapt, rising chord sequence that seems to lift them forwards and upwards; or the woman who bourrées backwards into a huge empty space, as the rest of the ensemble melts away around her.
