Scale Degrees
From “Major Scales and Major Keys¨ in Music Theory for Electronic Music Producers
A scale degree then is the counted number of (mechanical) keys or pitches in or from the given scale, inclusively starting from the root key / pitch. Here we can see the counting procedure for the C Major scale, to derive the scale degree:

Rearranged scales
“In actual music you very rarely have scales written out in order from beginning to end¨ (Allen 2018, 58).
Distilling scale use
How do you, then, figure out a scale used in a musical sequence, especially when they have been rearranged?
musical_scale scale_degree music_theory keys pitches major_scale root_key
bibliography
- “Major Scales and Major Keys.” In Music Theory for Electronic Music Producers: The Producer’s Guide to Harmony, Chord Progressions, and Song Structure in the MIDI Grid., 1st ed., 57. Minneapolis, MN: Slam Academy, 2018.
- “The Root.” In Music Theory for Electronic Music Producers: The Producer’s Guide to Harmony, Chord Progressions, and Song Structure in the MIDI Grid., 1st ed., 58. Minneapolis, MN: Slam Academy, 2018.