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https://texercises.com/exercise/whole-and-half-steps/
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Exercise:
Show that there are three different ervals two whole steps and one half step between the steps of a major and minor scale.

Solution:
The frequency ratios for the major scale are: itemize item do -- re: frac : frac frac item re -- mi: frac : frac frac item mi -- fa: frac : frac frac item fa -- so: frac : frac frac item so -- la: frac : frac frac item la -- ti: frac : frac frac item ti -- do: frac : frac frac itemize For a minor scale the ratios are: itemize item do -- re: frac : frac frac item re -- mi: frac : frac frac item mi -- fa: frac : frac frac item fa -- so: frac : frac frac item so -- la: frac : frac frac item la -- ti: frac : frac frac item ti -- do: frac : frac frac itemize Overall there are three distinct frequency ratios: a semitone step : a small whole tone step : and a small whole tole step :. The major and the minor scale contain the same steps but in a different order.
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Exercise:
Show that there are three different ervals two whole steps and one half step between the steps of a major and minor scale.

Solution:
The frequency ratios for the major scale are: itemize item do -- re: frac : frac frac item re -- mi: frac : frac frac item mi -- fa: frac : frac frac item fa -- so: frac : frac frac item so -- la: frac : frac frac item la -- ti: frac : frac frac item ti -- do: frac : frac frac itemize For a minor scale the ratios are: itemize item do -- re: frac : frac frac item re -- mi: frac : frac frac item mi -- fa: frac : frac frac item fa -- so: frac : frac frac item so -- la: frac : frac frac item la -- ti: frac : frac frac item ti -- do: frac : frac frac itemize Overall there are three distinct frequency ratios: a semitone step : a small whole tone step : and a small whole tole step :. The major and the minor scale contain the same steps but in a different order.
Contained in these collections:

Attributes & Decorations
Branches
Acoustics
Tags
interval, pitch
Content image
Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration