The relation of the Octave to a Fundamental is expressed by 2/1
" " " Fifth to a " " 3/2
" " " Fourth to a " " 4/3
" " " Major Third to a " " 5/4
" " " Minor Third to a " " 6/5
" " " Major Second to a " " 9/8
" " " Major Sixth to a " " 5/3
" " " Minor Sixth to a " " 8/5
" " " Major Seventh to a " " 15/8
" " " Minor Second to a " " 16/15


QUESTIONS ON LESSON XIII.

1. State what principle is demonstrated in Proposition II.

2. State what principle is demonstrated in Proposition III.

3. What would be the vibration per second of an exact (not
tempered) fifth, from C-512?

4. Give the figures and the process used in finding the vibration
number of the _exact_ major third to C-256.

5. If we should tune the whole circle of twelve fifths exactly as
detailed in Proposition III, how much too sharp would the last C
be to the first C tuned?