Notation/Generalizations of sharp and flat

In modern 12edo theory, the accidentals sharp (#) and flat (b) refer to alterations by a single edostep, formally a chromatic semitone. Various generalizations of this exist, some compatible with the historical meaning which treated the chromatic semitone as a notable structural interval as it is functionally today.

Consensus

The consensus is that where the interval 2187/2048 is present and structurally relevant, the symbols # and b unambiguously refer to an alteration by that interval. This is equivalent to the historical meaning in meantone and Pythagorean tunings. The use of the # and b symbols outside this context is less immediately clear, however.

Other interpretations

TODO:

- sharp as diatonic A1 regardless of system

- sharp as moschroma

- sharp as ben johnston chroma

- sharp as edostep

- sharp as ~100c alteration (probably wad says this but i'll go check with him)