For ever, I've only called scale degrees by their (Arabic) numbers. As opposed to chords, where I use Roman Numerals. Now, I've found out they really ought to have carets, or circumflexes over them. That seems somewhat superfluous, as those numbers can't mean much else.
Or - can they? They're supposedly to signify scale degrees. But the question springs up, which scale? Were it purely the major scale, it would make sense. But consider the note A, in scale with root C.
Major scale says A is ^6. Major pentatonic scale says ^5, chromatic scale says ^10 !
Somewhat confusing with or without '^'. Will someone please make some sense?
"I've only called scale degrees by their (Arabic) numbers" The roman numeral chord numbers refer to scale degrees; that is their whole purpose. The notation V7 means "the dominant 7th chord, rooted at the fifth degree of the scale". The roman numeral degrees came first, then the chord notation got applied to them. Scale degrees are also called by names like: tonic, supertonic, mediant, subdominant, ...
– Kaz Dec 27 '21 at 17:35