Reading Assignment [ R-8 ]

Read Chapter 8 of the textbook.

Upload a Word (.doc or .docx) or PDF file to Canvas with answers to the following questions. Put a blank line between each answer in order to make it easier to read. Use your own words. After the definition each term, create an example of using the word in a sentence.

Vocabulary

1. scale
2. note
3. consonance
4. monochord
5. interval
6. octave
7. fifth
8. Pythagorean scale
9. semitone
10. cent
11. major third
12. minor third
13. major triad
14. just scale
15. tempered scale
16. intonation
17. A440

In addition to defining the above vocabulary, answer the following questions in your own words.

1. What is the frequency of a note that is a fifth above the note A440? How did you figure that out?
2. How many cents in a tempered semitone?
3. In the tempered scale major thirds are different than just major thirds. How many cents different are they?
4. Watch Jacob Collier explain his use of just intonation in his arrangement of "Moon River". Move ahead in the video to 43:35 as he is explaining the difference between a tempered third on the piano with a just third (based on principles of the harmonic series in physics) in a G half sharp major chord. Does he like the fact that all the semitones on the equal tempered piano keyboard are of equal size? How does the triad at 47:03 sound to you? What led him to using just intonation?
5. What does Jacob mean by "microtonalizing" at 54:15 in the breakdown?
6. How does the sound of the just and tempered chords compare that he plays using the Kontakt V plugin starting at 1:04:38?