Basic intervals exercise sheet for music theory, featuring melodic and harmonic intervals.

Let's solve the problem step by step based on the image you provided. The task is to identify musical intervals in both melodic and harmonic forms, up to a 5th and then up to an octave.

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🔹 Part 1: Intervals up to a 5th

We are asked to identify each interval as Unison, 2nd, 3rd, 4th, or 5th.

#### *(Melodic Intervals)*
These are two notes played one after the other (in time).

1. C to F
- C → D (2nd), D → E (3rd), E → F (4th) → So, 4th
- ✔ 4th

2. D to D
- Same note → Unison
- ✔ Unison

3. C to E
- C → D (2nd), D → E (3rd) → 3rd
- ✔ 3rd

4. A to G
- A → B (2nd), B → C (3rd), C → D (4th), D → E (5th), E → F (6th), F → G (7th)? Wait — we're going *down*.
- But interval is measured from lower to higher, or vice versa? In melody, direction matters, but we usually name it by distance.
- From A down to G → A → G is a 2nd down, so 2nd (minor 2nd)
- ✔ 2nd

5. D to A
- D → E (2nd), E → F (3rd), F → G (4th), G → A (5th) → 5th
- ✔ 5th

6. G to D
- G → A (2nd), A → B (3rd), B → C (4th), C → D (5th) → 5th
- ✔ 5th

> ✔ Melodic Answers: 4th, Unison, 3rd, 2nd, 5th, 5th

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#### *(Harmonic Intervals)*
These are two notes played together (simultaneously).

1. C and E → C to E = 3rd (major third)
- ✔ 3rd

2. D and F → D to F = 3rd (minor third)
- ✔ 3rd

3. C and G → C to G = 5th (perfect fifth)
- ✔ 5th

4. F and A → F to A = 3rd (major third)
- ✔ 3rd

5. E and B → E to B = 5th (perfect fifth)
- ✔ 5th

6. C and G → C to G = 5th
- ✔ 5th

> ✔ Harmonic Answers: 3rd, 3rd, 5th, 3rd, 5th, 5th

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🔹 Part 2: Intervals up to an Octave

Now, we go beyond 5th — up to octave, including 6th, 7th, and octave.

*(Melodic Intervals)*

1. C to A
- C → D (2nd), D → E (3rd), E → F (4th), F → G (5th), G → A (6th) → 6th
- ✔ 6th

2. F to D
- F → G (2nd), G → A (3rd), A → B (4th), B → C (5th), C → D (6th) → 6th
- ✔ 6th

3. C to F
- C → D (2nd), D → E (3rd), E → F (4th) → 4th
- ✔ 4th

4. F to C
- F → G (2nd), G → A (3rd), A → B (4th), B → C (5th) → 5th
- ✔ 5th

5. G to D
- G → A (2nd), A → B (3rd), B → C (4th), C → D (5th) → 5th
- ✔ 5th

6. F to E
- F → G (2nd), G → A (3rd), A → B (4th), B → C (5th), C → D (6th), D → E (7th) → 7th
- ✔ 7th

7. C to C
- Same pitch → Octave
- ✔ Octave

> ✔ Melodic Answers: 6th, 6th, 4th, 5th, 5th, 7th, Octave

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✔ Final Answers:

#### Intervals up to a 5th
- Melodic:
1. 4th
2. Unison
3. 3rd
4. 2nd
5. 5th
6. 5th

- Harmonic:
1. 3rd
2. 3rd
3. 5th
4. 3rd
5. 5th
6. 5th

#### Intervals up to an Octave (Melodic):
1. 6th
2. 6th
3. 4th
4. 5th
5. 5th
6. 7th
7. Octave

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🎵 How to Identify Intervals:

- Count letter names from the first note to the second (including both).
- Example: C to E → C (1), D (2), E (3) → 3rd
- For harmonic intervals, look at the vertical pair of notes.
- For melodic, follow the sequence left to right.
- Direction matters only for naming (e.g., ascending vs descending), but the size is based on letter count.

Let me know if you'd like this explained with solfege or chord theory!