The phrase "a general note" is correct and usable in written English.
It can be used to introduce a piece of information or observation that is applicable in a broad context, often serving as a reminder or clarification.
Example: "Before we proceed, I would like to add a general note regarding the importance of teamwork in our project."
Alternatives: "a general observation" or "a general remark".
On a general note, the different scaling of length, surface area and volume makes a straightforward comparison between microchannel reactors and conventional reactors far from trivial.
Merrill raised its price target for Dixons from 19p to 22p as part of a general note on the retail sector.
On a general note, diurnal variation of ionospheric F2 layer characteristics coefficient of variability (CV) is characterised by post- and pre-midnight peaks at all seasons, epochs and longitude.
Moody's did not report on individual cities or towns, but its overview offered a general note of caution for investors who have bought municipal bonds seeking a safe stream of income in difficult financial markets.
Also, as a general note, I am thankful that this has been my worst day to date, and well aware that there is almost no chance I will be lucky enough that it will continue to remain so.
On a general note, it's crucial to be a graduate to find yourself on top of any competition in the job market and get better employment opportunities as early as possible.
On a more general note, a common complaint I hear from writers is that Bafta excludes the writing award from its main TV awards ceremony, instead lumping them into its untelevised craft awards.
On a more general note, a report by the International Monetary Fund has raised concerns over the inadequate risk-sharing in public-private partnerships [ 47].
On a more general note, a better understanding of the mechanisms regulating access to the brain may result in a better understanding on how to deliver therapeutic agents to the central nervous system.
On a more general note, our study constitutes an effort to trace the origins of gross morphological features of the brain to fundamental cellular properties.
On a more general note, In re Seagate has been positively received in the patent law practice.
