Quiz 3 Answers

A.
P = perfect , M = major

1 = M3	2 = M7	3 = M2	4 = P4	5 = M6
6 = M7	7 = P5	8 = M3	9 = M6	10 = P4
11 = P5	12 = M2	13 = M6	14 = M7	15 = M3

1 = M6	2 = M3	3 = P4	4 = P5	5 = P4
6 = P4	7 = M2	8 = M7	9 = M3	10 = M6

1 = C	2 = B	3 = B	4 = D#	5 = Bb
6 = F#	7 = Ab	8 = C#	9 = E	10 = F#

• A = 71 cm

• G = 80 cm

• F = 90 cm

• D = 107 cm

• C = 120 cm

• F = C x 3/4 = 120 cm x 3/4 = 90 cm
  
  
• G = C x 2/3 = 120 cm x 2/3 = 80 cm
  

Now look at the D major scale : D - E - F# - G - A - B - C# - d

You see here that D is a perfect 4th below G. What to do here ? :
The d above the G would be : d = G x 2/3 = 80 cm x 2/3 = 53.3 cm
This d is half the length of the D one octave lower.
In other words the D we are after has a vibration string twice as long as d, therfore :

• D = G x 2/3 x 2 = 80 cm x 2/3 x 2 = 106.6 cm

• A = D x 2/3 = 106.6 cm x 2/3 = 71 cm
  

E. - F.
Showing in order : P1 - P4 - P5 - P8

E - A - B - E	A - D - E - A	D - G - A - G	G - C - D - G
C - F - G - C	F - Bb - C - F	Bb - Eb - F - Bb	Eb - Ab - Bb - Eb
Ab - Db - Eb - Ab	Db - Gb - Ab - Db	F# - B - C# - F#	B - E - F# - B

Answers to Ear tests 6 & 7

Ear Test 6 - 12 intervals, all perfect.

1 = P5	2 = P8	3 = P5	4 = P4	5 = P5	6 = P8
7 = P4	8 = P4	9 = P8	10 = P5	11 = P8	12 = P4

1 = P4	2 = M2	3 = M6	4 = P5	5 = M7	6 = M3
7 = M3	8 = P4	9 = M6	10 = M2	11 = M7	12 = P8