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Recognising scales from just their accidentals can be instant. However if it’s not here’s a systematic way of determining the scale.
1. If there is a mix of “b” and “#” accidentals it must be a minor scale and one of G or D minor. The # accidental is the 7th note of the scale and identifies the key note e.g. F# ==> G minor, C# ==> D minor.
2. If all accidentals are sharps, tally them against the known order of sharps in a key signature signature. If there are gaps in the sequence, then it’s a minor scale, otherwise a major scale.
E.g. the extract has F#,C# and A# but G’s and D’s are not written with sharps.
There is a gap in the sequence of F#-
E.g. the extract has G#-
3. If all accidentals are flats, tally them against the known order of flats in a key signature signature. If there are gaps in the sequence, then it’s a minor scale, otherwise a major scale.
E.g. the extract has Eb and Ab and there are B notes in the extract written without
flats there is a gap in the expected sequence of Bb-
E.g. the extract has Eb-
The mix of “b” and “#” accidentals is an immediate give-
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Now rewrite using the key signature of the scale. If it’s a minor scale, leave the “sharpened” 7th note of the scale as an accidental. Don’t put it the into the key signature.