Interval worksheets - Free Printable
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Step-by-step solution for: Interval worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Interval worksheets
To solve this worksheet, we need to identify the musical interval formed by the two notes in each measure. The title "Interval Worksheet - 3rds" tells us that all answers will be some type of third (Major, Minor, Augmented, or Diminished).
Here is the step-by-step logic for identifying each interval:
1. Identify the Notes: Read the note names from the staff (Treble or Bass clef).
2. Count the Steps: Count the letter names from the bottom note to the top note (inclusive) to confirm it is a 3rd (e.g., C to E is 1-2-3, so it's a 3rd).
3. Check the Key/Quality: Look at the key signature and any accidentals (sharps or flats next to the notes). Compare the distance between the notes to a Major scale starting on the bottom note.
* Major 3rd: 4 half-steps (e.g., C to E natural).
* Minor 3rd: 3 half-stops (e.g., C to E flat).
* Augmented 3rd: 5 half-steps (e.g., C to E sharp).
* Diminished 3rd: 2 half-steps (e.g., C double-sharp to E natural, or C sharp to E flat).
Let's go through them one by one:
Row 1 (Treble Clef)
* 1. Notes: G and B. Both are natural. In the key of G Major, G-B is a Major 3rd. -> Major 3rd
* 2. Notes: G and B-flat. Lowering the top note of a Major 3rd makes it Minor. -> Minor 3rd
* 3. Notes: F and A-flat. In F Major, F-A is Major. Flattening the A makes it smaller. -> Minor 3rd
* 4. Notes: A and F. Wait, let's look closer. Bottom note is A (second space). Top note is F (top line). That is a 6th. Let me re-read the prompt title. "Interval Worksheet - 3rds". Let me re-examine image crop 4. Ah, looking at crop 1 and 4... Measure 4 has notes A (second space) and F (top line)? No, looking at the full image, measure 4 has a whole note A (second space) and a whole note F (first space? No, top line). Let's look really closely at measure 4. It looks like an A and an F. That's a sixth. Is it possible the worksheet includes inversions? Or did I misread the clef? It is Treble Clef. Let's look at measure 1 again. G and B. That's a 3rd. Measure 2: G and Bb. 3rd. Measure 3: F and Ab. 3rd. Measure 4: A and F? That's a 6th. Let me look at the other measures. Measure 5: G and B. 3rd. Measure 6 (Bass): Bb and D. 3rd. Measure 7 (Bass): F# and A#. 3rd. Measure 8 (Bass): G and E? That's a 6th.
* *Correction:* Often in these worksheets, if the interval is wider than an octave or inverted, you might need to invert it to name the simple interval, OR simply name the compound interval. However, the title says "3rds". Let's look at Measure 4 again. The bottom note is A. The top note is F. This is a minor 6th. Why would it be on a "3rds" sheet?
* Let's re-read the notes carefully. Maybe the top note isn't F. It's on the top line. That is F. The bottom note is on the second space. That is A. A to F is a 6th.
* Let's look at Measure 8. Bass clef. Bottom note G (bottom line). Top note E (third space). G to E is a 6th.
* Let's look at Measure 14. Treble clef. Bottom note G (second line). Top note B (third line). That is a 3rd.
* Let's look at Measure 18. Bass clef. Bottom note Bb. Top note G. That is a 6th.
* Let's look at Measure 19. Bass clef. Bottom note Eb. Top note Gb. That is a 3rd.
*Hypothesis:* The worksheet might contain errors, or "3rds" refers to the *diatonic* function in a specific context, or perhaps I am misidentifying the clefs for specific lines?
Line 1: Treble.
Line 2: Bass.
Line 3: Treble.
Line 4: Bass.
Let's re-evaluate Measure 4. Is it possible the bottom note is F and the top is A? No, the lower note is clearly lower.
Let's look at the intervals again.
1. G-B (M3)
2. G-Bb (m3)
3. F-Ab (m3)
4. A-F (m6). *Note: The inversion of a 6th is a 3rd. The inversion of a Minor 6th is a Major 3rd.*
5. G-B (M3)
6. Bb-D (M3)
7. F#-A# (M3)
8. G-E (m6). *Inversion is M3.*
9. C-Eb (m3) -- Wait, Measure 9 is Bass Clef. Notes are C (second space) and Eb (third space? No, fourth space is G. Third space is E. So C to E is a 3rd. There is a flat on the E? No, the flat is on the B in the key signature? No key signature. The flat is next to the E? Let's look at crop 2. Measure 9: Note 1 is C (2nd space). Note 2 is E (3rd space) with a flat sign? Actually, looking at crop 2, measure 9 has a C and an E-flat. Yes, there is a flat symbol next to the E. So C to Eb is a Minor 3rd.
10. Bb-Db (m3). Bass clef. Bb (2nd line) to Db (3rd line? No, 4th line is F. 3rd line is D. So Bb to D is a 3rd. Flat on B and Flat on D? Crop 2 shows measure 10. Bottom note Bb. Top note Db. Yes. Minor 3rd.
Let's re-read Measure 4 and 8.
Measure 4: Treble Clef. A (2nd space) and F (top line). This is definitely a 6th.
Measure 8: Bass Clef. G (1st line) and E (3rd space). This is definitely a 6th.
Measure 14: Treble Clef. G (2nd line) and B (3rd line). This is a Major 3rd.
Measure 18: Bass Clef. Bb (2nd line) and G (3rd space). This is a 6th.
Is it possible the question implies identifying the interval *class* regardless of inversion? Or perhaps the student is expected to invert them? "Name the interval" usually requires the exact name. If the worksheet is strictly "3rds", these 6ths are outliers. However, looking at the pattern, many are 3rds.
Let's look at Measure 13. Treble Clef. F# (top line) and D# (4th line). F to D is a 6th. F# to D# is a Major 6th.
Okay, there seems to be a mix of 3rds and 6ths. But wait! Look at Measure 13 again. Bottom note F# (top line). Top note D# (space above the staff? No, D is the line below the top line. Wait. Treble Clef lines: E G B D F. Spaces: F A C E.
Measure 13: Bottom note is F# (top line). Top note is D# (4th line). F down to D is a 3rd downwards? No, intervals are measured upwards. The lower note is D#? No, visually the F# is higher than the D#?
Let's look at Crop 3. Measure 13. The first note is on the top line (F). It has a sharp. The second note is on the 4th line (D). It has a sharp. The F is physically higher on the staff than the D. So the interval is D# up to F#.
D to F is a minor 3rd. D# to F# is also a Minor 3rd (both raised by semitone, distance stays same).
Let's re-evaluate Measure 4 with this "lower note first" mindset.
Measure 4: Note 1 is A (2nd space). Note 2 is F (top line). A is lower than F. So it is A up to F. That is a 6th.
Let's re-evaluate Measure 8.
Measure 8: Note 1 is G (bottom line). Note 2 is E (3rd space). G is lower than E. G up to E is a 6th.
Let's re-evaluate Measure 18.
Measure 18: Note 1 is Bb (2nd line). Note 2 is G (3rd space). Bb is lower than G. Bb up to G is a 6th.
Let's re-evaluate Measure 14.
Measure 14: Note 1 is G (2nd line). Note 2 is B (3rd line). G up to B is a Major 3rd.
Let's re-evaluate Measure 19.
Measure 19: Bass Clef. Note 1 is Eb (3rd space? No, 3rd space is E. 2nd space is C. 1st space is A. Lines: G B D F A.
Let's trace Bass Clef lines/spaces carefully.
Lines: G(1), B(2), D(3), F(4), A(5).
Spaces: A(1), C(2), E(3), G(4).
Measure 19: First note is on the 3rd space (E). It has a flat. So Eb. Second note is on the 4th line (F)? No, it looks like it's on the 4th line (F) with a flat? Or is it Gb?
Let's look at Crop 4. Measure 19. First note is Eb (3rd space). Second note is Gb (4th space). Eb to Gb is a Minor 3rd.
Measure 20: Bass Clef. First note is Eb (3rd space). Second note is Gb (4th space)? No, looking at crop 4, measure 20. First note is Eb (3rd space). Second note is Gb (4th space). Wait, measure 19 and 20 look similar.
Let's look at Measure 19 again. Crop 4. The notes are stacked vertically? No, side by side.
Measure 19: Left note is Eb (3rd space). Right note is Gb (4th space). Interval: Eb to Gb = Minor 3rd.
Measure 20: Left note is Eb (3rd space). Right note is Gb (4th space). Wait, is there a difference?
Let's look at the original image again.
Measure 19: The chord symbol is written below? No, just notes.
Ah, I see Measure 19 has a "natural" sign? No.
Let's look at Measure 16. Bass Clef. C (2nd space) and Eb (3rd space). C to Eb is Minor 3rd.
Measure 17. Bass Clef. F (4th line) and Ab (top line? No, 5th line is A. Space above is B. Top line is A? No, Bass clef top line is A. So Ab is on the top line). F to Ab is Minor 3rd.
Measure 18. Bass Clef. Bb (2nd line) and G (3rd space). Bb to G is a Major 6th.
There is a possibility that I am misinterpreting the "3rds" title. Could it be that the worksheet asks to identify the interval, and the *topic* is 3rds, but some questions are trick questions or inversions?
OR, could it be that I am misreading the clefs?
Line 1: Treble.
Line 2: Bass.
Line 3: Treble.
Line 4: Bass.
Let's check Measure 4 again. Treble Clef. A and F.
If we invert A->F (m6), we get F->A (M3).
Let's check Measure 8 again. Bass Clef. G and E.
If we invert G->E (m6), we get E->G (m3).
Let's check Measure 13 again. Treble Clef. D# and F#.
D#->F# is m3.
Let's check Measure 18 again. Bass Clef. Bb and G.
Bb->G is M6. Inversion G->Bb is m3.
It is highly likely that the worksheet contains inverted intervals (6ths) which correspond to 3rds when inverted. However, standard music theory rules state you name the interval as written (from bottom note to top note). An interval of a 6th is a 6th.
*Alternative interpretation:* Is it possible the clefs are different?
What if Line 1 is Alto Clef? No, standard school worksheets use Treble/Bass.
Let's assume the question asks for the interval as written. I will provide the exact interval name. If the title is "3rds", it's possible the teacher considers 6ths as "related" or wants the student to identify the 3rd hidden inside via inversion, BUT "Name the interval" usually means the direct distance.
However, looking at the provided solution format, I should just list the answers. I will stick to the strict definition: Bottom note to Top note.
Let's double check every single one.
1. Treble. G4, B4. G-A-B. 3 steps. G to B is 4 semitones. Major 3rd.
2. Treble. G4, Bb4. G to Bb is 3 semitones. Minor 3rd.
3. Treble. F4, Ab4. F to Ab is 3 semitones. Minor 3rd.
4. Treble. A4, F5. A-B-C-D-E-F. 6 steps. A to F is 8 semitones. Minor 6th. *(Note: If the answer key expects "Major 3rd" due to inversion, that's a specific pedagogical choice, but "Minor 6th" is the correct literal name. Given the title, I will add a note or stick to the literal name. Actually, looking at similar online worksheets, sometimes they mix inversions. I will provide the literal name.)*
5. Treble. G4, B4. Same as #1. Major 3rd.
6. Bass. Bb3, D4. Bb-C-D. 3 steps. Bb to D is 4 semitones. Major 3rd.
7. Bass. F#3, A#3. F#-G#-A#. 3 steps. F# to A# is 4 semitones. Major 3rd.
8. Bass. G2, E3. G-A-B-C-D-E. 6 steps. G to E is 9 semitones. Major 6th. *(Wait, G2 to E3. G2(391Hz) to E3(164Hz? No. G2 is low. E3 is higher. G2->G3 is octave. E3 is below G3. So G2 to E3 is a major 6th. Yes.)*
9. Bass. C3, Eb3. C-D-Eb. 3 steps. C to Eb is 3 semitones. Minor 3rd.
10. Bass. Bb2, Db3. Bb-C-Db. 3 steps. Bb to Db is 3 semitones. Minor 3rd.
11. Treble. C4, E4. C-D-E. 3 steps. C to E is 4 semitones. Major 3rd.
12. Treble. Bb3, Db4. Bb-C-Db. 3 steps. Bb to Db is 3 semitones. Minor 3rd.
13. Treble. D#4, F#5? No. Look at the position.
Left note: Top line F. Sharp. So F#.
Right note: 4th line D. Sharp. So D#.
Which is lower? D is below F. So the interval is D# up to F#.
D#-E#(F)-F#. Steps: D, E, F. 3 steps.
D# to F# is 3 semitones (D#->E is 1, E->F is 1, F->F# is 1? No. D# to E is 0.5. E to F is 0.5. F to F# is 0.5. Total 1.5 tones = 3 semitones).
So D# to F# is a Minor 3rd.
14. Treble. G4, B4. G to B is 4 semitones. Major 3rd.
15. Treble. G#4, B4?
Left note: G (2nd line). Sharp. G#.
Right note: B (3rd line). Natural.
G# to B. Steps: G, A, B. 3 steps.
G# to B is 3 semitones (G#->A is 0.5, A->A# is 0.5, A#->B is 0.5? No. G# to A is 0.5. A to B is 1.0. Total 1.5 tones = 3 semitones).
So G# to B is a Minor 3rd.
16. Bass. C3, Eb3. Same as #9. Minor 3rd.
17. Bass. F3, Ab3.
Left note: F (4th line).
Right note: Ab (5th line? No, 5th line is A. So Ab is on the 5th line).
F to Ab. Steps: F, G, Ab. 3 steps.
F to Ab is 3 semitones. Minor 3rd.
18. Bass. Bb3, G4?
Left note: Bb (2nd line? No, 2nd line is B. So Bb is on 2nd line).
Right note: G (4th space? No, 4th space is G. Yes).
Bb3 to G4. Steps: B, C, D, E, F, G. 6 steps.
Bb to G is 9 semitones. Major 6th.
19. Bass. Eb3, Gb3?
Left note: Eb (3rd space).
Right note: Gb (4th space).
Eb to Gb. Steps: E, F, G. 3 steps.
Eb to Gb is 3 semitones. Minor 3rd.
20. Bass. Eb3, Gb3?
Wait, let's look at 19 and 20 again in Crop 4.
Measure 19: Notes are Eb (3rd space) and Gb (4th space).
Measure 20: Notes are Eb (3rd space) and Gb (4th space).
Are they identical?
Let's look at the accidentals.
Measure 19: Flat on E, Flat on G.
Measure 20: Flat on E, Flat on G.
They look identical. Is there a subtle difference?
Maybe Measure 19 is Gb and Measure 20 is G natural?
Looking at the original full image...
Measure 19: The accidental on the top note looks like a flat.
Measure 20: The accidental on the top note looks like a flat.
However, usually worksheets don't repeat identical problems unless it's a mistake or I'm missing something.
Let's look at Measure 19's bottom note. It's Eb.
Let's look at Measure 20's bottom note. It's Eb.
Let's look at the key signature. No key signature.
Is it possible Measure 20 is Eb to G natural?
If Measure 20 is Eb to G natural, that is a Major 3rd.
Let's zoom in on Measure 20 top note. The symbol is a bit blurry. In Measure 19, the flat sign is clear. In Measure 20, the symbol next to the G is also a flat sign. It looks exactly the same as 19.
Wait, look at Measure 19 again. The bottom note has a flat. The top note has a flat.
Look at Measure 20. The bottom note has a flat. The top note has a flat.
Okay, I will list them both as Minor 3rds, but I suspect #20 might be intended as Major 3rd (Eb-G) if the flat is a typo or artifact. However, visually it is a flat. I will stick to what is visible.
*Self-Correction on 4, 8, 18:*
The title is "Interval Worksheet - 3rds".
It is extremely common in beginner theory to have sections on "3rds and 6ths" together because they are inversions. If the title is strictly "3rds", it's possible the user who made the worksheet made a mistake in the title, or expects the student to write the inversion.
However, without explicit instruction to invert, "Name the interval" means name the distance from low to high.
I will provide the literal names.
Let's double check #13.
Treble Clef.
Note 1: F# (Top line).
Note 2: D# (4th line).
Visually, F# is higher. So the interval is D# up to F#.
D# to F# is a Minor 3rd. Correct.
Let's double check #15.
Treble Clef.
Note 1: G# (2nd line).
Note 2: B (3rd line).
G# up to B.
G# to B is a Minor 3rd. Correct.
Let's double check #7.
Bass Clef.
Note 1: F# (4th line).
Note 2: A# (5th line? No, 5th line is A. So A# is on 5th line).
F# up to A#.
F# to A# is a Major 3rd. Correct.
Let's double check #10.
Bass Clef.
Note 1: Bb (2nd line).
Note 2: Db (3rd line? No, 3rd line is D. So Db is on 3rd line).
Bb up to Db.
Bb to Db is a Minor 3rd. Correct.
Summary of Answers:
1. Major 3rd
2. Minor 3rd
3. Minor 3rd
4. Minor 6th
5. Major 3rd
6. Major 3rd
7. Major 3rd
8. Major 6th
9. Minor 3rd
10. Minor 3rd
11. Major 3rd
12. Minor 3rd
13. Minor 3rd
14. Major 3rd
15. Minor 3rd
16. Minor 3rd
17. Minor 3rd
18. Major 6th
19. Minor 3rd
20. Minor 3rd
*Note on the "6ths":* Since the worksheet is titled "3rds", there is a chance the teacher wants the *inversion* named (e.g., #4 Minor 6th inverts to Major 3rd). However, without that instruction, the correct answer is the interval as written. I will provide the as-written answers but add a small tip about inversions in the explanation if I were explaining. Since ExplainAnswer is false, I will just provide the final list. Wait, the prompt says "If ExplainAnswer is true...". Here ExplainAnswer is false. So I must ONLY provide the Final Answer?
Re-reading rules:
"If an option is false, completely omit that section."
"Final Answer: [Provide only the final correct answer — this should come AFTER all explanations and reasoning.]"
The structure requires:
1. Reasoning (hidden/internal or shown? "Complete ALL reasoning and explanations BEFORE writing the Final Answer.")
2. Final Answer section.
The prompt says: "Response format rules: → Always follow the structure below. → If an option is false, completely omit that section."
So I will omit Explanation, TeachTopic, and GeneratePractice.
I will just output the Final Answer.
Wait, "Complete ALL reasoning and explanations BEFORE writing the Final Answer." This implies I should show my work?
Usually, "ExplainAnswer: false" means "Don't include an 'Explanation:' section".
But "Complete ALL reasoning... BEFORE writing the Final Answer" suggests I should think through it (which I did in the thought block) and then just give the answer.
Let's look at the "Final Answer" format. It should be the solution.
I will list the answers 1-20 clearly.
One final check on #20.
Comparing #19 and #20 in the last crop.
#19: Eb (3rd space), Gb (4th space).
#20: Eb (3rd space), Gb (4th space).
They are visually identical. I will treat them as such.
One final check on #4, #8, #18.
If this is a "3rds" worksheet, could #4 be F and A?
If the clef was Bass, F is 4th line, A is 5th line. F to A is Major 3rd.
But the clef is Treble.
Could #4 be A and C?
A (2nd space), C (3rd space). A to C is Minor 3rd.
But the top note is clearly on the top line (F).
So it is A to F.
I will stick with Minor 6th.
Final check on #13.
D# to F#.
D# (4th line) to F# (top line).
Wait, in Treble Clef:
Lines: E G B D F.
D is 4th line. F is 5th line.
So D# to F# is a 3rd.
My previous analysis said "D# up to F#".
D# to F# is a Minor 3rd.
Correct.
Final check on #15.
G# to B.
G (2nd line) to B (3rd line).
G# to B is a Minor 3rd.
Correct.
The answers are ready.
Final Answer:
1. Major 3rd
2. Minor 3rd
3. Minor 3rd
4. Minor 6th
5. Major 3rd
6. Major 3rd
7. Major 3rd
8. Major 6th
9. Minor 3rd
10. Minor 3rd
11. Major 3rd
12. Minor 3rd
13. Minor 3rd
14. Major 3rd
15. Minor 3rd
16. Minor 3rd
17. Minor 3rd
18. Major 6th
19. Minor 3rd
20. Minor 3rd
Here is the step-by-step logic for identifying each interval:
1. Identify the Notes: Read the note names from the staff (Treble or Bass clef).
2. Count the Steps: Count the letter names from the bottom note to the top note (inclusive) to confirm it is a 3rd (e.g., C to E is 1-2-3, so it's a 3rd).
3. Check the Key/Quality: Look at the key signature and any accidentals (sharps or flats next to the notes). Compare the distance between the notes to a Major scale starting on the bottom note.
* Major 3rd: 4 half-steps (e.g., C to E natural).
* Minor 3rd: 3 half-stops (e.g., C to E flat).
* Augmented 3rd: 5 half-steps (e.g., C to E sharp).
* Diminished 3rd: 2 half-steps (e.g., C double-sharp to E natural, or C sharp to E flat).
Let's go through them one by one:
Row 1 (Treble Clef)
* 1. Notes: G and B. Both are natural. In the key of G Major, G-B is a Major 3rd. -> Major 3rd
* 2. Notes: G and B-flat. Lowering the top note of a Major 3rd makes it Minor. -> Minor 3rd
* 3. Notes: F and A-flat. In F Major, F-A is Major. Flattening the A makes it smaller. -> Minor 3rd
* 4. Notes: A and F. Wait, let's look closer. Bottom note is A (second space). Top note is F (top line). That is a 6th. Let me re-read the prompt title. "Interval Worksheet - 3rds". Let me re-examine image crop 4. Ah, looking at crop 1 and 4... Measure 4 has notes A (second space) and F (top line)? No, looking at the full image, measure 4 has a whole note A (second space) and a whole note F (first space? No, top line). Let's look really closely at measure 4. It looks like an A and an F. That's a sixth. Is it possible the worksheet includes inversions? Or did I misread the clef? It is Treble Clef. Let's look at measure 1 again. G and B. That's a 3rd. Measure 2: G and Bb. 3rd. Measure 3: F and Ab. 3rd. Measure 4: A and F? That's a 6th. Let me look at the other measures. Measure 5: G and B. 3rd. Measure 6 (Bass): Bb and D. 3rd. Measure 7 (Bass): F# and A#. 3rd. Measure 8 (Bass): G and E? That's a 6th.
* *Correction:* Often in these worksheets, if the interval is wider than an octave or inverted, you might need to invert it to name the simple interval, OR simply name the compound interval. However, the title says "3rds". Let's look at Measure 4 again. The bottom note is A. The top note is F. This is a minor 6th. Why would it be on a "3rds" sheet?
* Let's re-read the notes carefully. Maybe the top note isn't F. It's on the top line. That is F. The bottom note is on the second space. That is A. A to F is a 6th.
* Let's look at Measure 8. Bass clef. Bottom note G (bottom line). Top note E (third space). G to E is a 6th.
* Let's look at Measure 14. Treble clef. Bottom note G (second line). Top note B (third line). That is a 3rd.
* Let's look at Measure 18. Bass clef. Bottom note Bb. Top note G. That is a 6th.
* Let's look at Measure 19. Bass clef. Bottom note Eb. Top note Gb. That is a 3rd.
*Hypothesis:* The worksheet might contain errors, or "3rds" refers to the *diatonic* function in a specific context, or perhaps I am misidentifying the clefs for specific lines?
Line 1: Treble.
Line 2: Bass.
Line 3: Treble.
Line 4: Bass.
Let's re-evaluate Measure 4. Is it possible the bottom note is F and the top is A? No, the lower note is clearly lower.
Let's look at the intervals again.
1. G-B (M3)
2. G-Bb (m3)
3. F-Ab (m3)
4. A-F (m6). *Note: The inversion of a 6th is a 3rd. The inversion of a Minor 6th is a Major 3rd.*
5. G-B (M3)
6. Bb-D (M3)
7. F#-A# (M3)
8. G-E (m6). *Inversion is M3.*
9. C-Eb (m3) -- Wait, Measure 9 is Bass Clef. Notes are C (second space) and Eb (third space? No, fourth space is G. Third space is E. So C to E is a 3rd. There is a flat on the E? No, the flat is on the B in the key signature? No key signature. The flat is next to the E? Let's look at crop 2. Measure 9: Note 1 is C (2nd space). Note 2 is E (3rd space) with a flat sign? Actually, looking at crop 2, measure 9 has a C and an E-flat. Yes, there is a flat symbol next to the E. So C to Eb is a Minor 3rd.
10. Bb-Db (m3). Bass clef. Bb (2nd line) to Db (3rd line? No, 4th line is F. 3rd line is D. So Bb to D is a 3rd. Flat on B and Flat on D? Crop 2 shows measure 10. Bottom note Bb. Top note Db. Yes. Minor 3rd.
Let's re-read Measure 4 and 8.
Measure 4: Treble Clef. A (2nd space) and F (top line). This is definitely a 6th.
Measure 8: Bass Clef. G (1st line) and E (3rd space). This is definitely a 6th.
Measure 14: Treble Clef. G (2nd line) and B (3rd line). This is a Major 3rd.
Measure 18: Bass Clef. Bb (2nd line) and G (3rd space). This is a 6th.
Is it possible the question implies identifying the interval *class* regardless of inversion? Or perhaps the student is expected to invert them? "Name the interval" usually requires the exact name. If the worksheet is strictly "3rds", these 6ths are outliers. However, looking at the pattern, many are 3rds.
Let's look at Measure 13. Treble Clef. F# (top line) and D# (4th line). F to D is a 6th. F# to D# is a Major 6th.
Okay, there seems to be a mix of 3rds and 6ths. But wait! Look at Measure 13 again. Bottom note F# (top line). Top note D# (space above the staff? No, D is the line below the top line. Wait. Treble Clef lines: E G B D F. Spaces: F A C E.
Measure 13: Bottom note is F# (top line). Top note is D# (4th line). F down to D is a 3rd downwards? No, intervals are measured upwards. The lower note is D#? No, visually the F# is higher than the D#?
Let's look at Crop 3. Measure 13. The first note is on the top line (F). It has a sharp. The second note is on the 4th line (D). It has a sharp. The F is physically higher on the staff than the D. So the interval is D# up to F#.
D to F is a minor 3rd. D# to F# is also a Minor 3rd (both raised by semitone, distance stays same).
Let's re-evaluate Measure 4 with this "lower note first" mindset.
Measure 4: Note 1 is A (2nd space). Note 2 is F (top line). A is lower than F. So it is A up to F. That is a 6th.
Let's re-evaluate Measure 8.
Measure 8: Note 1 is G (bottom line). Note 2 is E (3rd space). G is lower than E. G up to E is a 6th.
Let's re-evaluate Measure 18.
Measure 18: Note 1 is Bb (2nd line). Note 2 is G (3rd space). Bb is lower than G. Bb up to G is a 6th.
Let's re-evaluate Measure 14.
Measure 14: Note 1 is G (2nd line). Note 2 is B (3rd line). G up to B is a Major 3rd.
Let's re-evaluate Measure 19.
Measure 19: Bass Clef. Note 1 is Eb (3rd space? No, 3rd space is E. 2nd space is C. 1st space is A. Lines: G B D F A.
Let's trace Bass Clef lines/spaces carefully.
Lines: G(1), B(2), D(3), F(4), A(5).
Spaces: A(1), C(2), E(3), G(4).
Measure 19: First note is on the 3rd space (E). It has a flat. So Eb. Second note is on the 4th line (F)? No, it looks like it's on the 4th line (F) with a flat? Or is it Gb?
Let's look at Crop 4. Measure 19. First note is Eb (3rd space). Second note is Gb (4th space). Eb to Gb is a Minor 3rd.
Measure 20: Bass Clef. First note is Eb (3rd space). Second note is Gb (4th space)? No, looking at crop 4, measure 20. First note is Eb (3rd space). Second note is Gb (4th space). Wait, measure 19 and 20 look similar.
Let's look at Measure 19 again. Crop 4. The notes are stacked vertically? No, side by side.
Measure 19: Left note is Eb (3rd space). Right note is Gb (4th space). Interval: Eb to Gb = Minor 3rd.
Measure 20: Left note is Eb (3rd space). Right note is Gb (4th space). Wait, is there a difference?
Let's look at the original image again.
Measure 19: The chord symbol is written below? No, just notes.
Ah, I see Measure 19 has a "natural" sign? No.
Let's look at Measure 16. Bass Clef. C (2nd space) and Eb (3rd space). C to Eb is Minor 3rd.
Measure 17. Bass Clef. F (4th line) and Ab (top line? No, 5th line is A. Space above is B. Top line is A? No, Bass clef top line is A. So Ab is on the top line). F to Ab is Minor 3rd.
Measure 18. Bass Clef. Bb (2nd line) and G (3rd space). Bb to G is a Major 6th.
There is a possibility that I am misinterpreting the "3rds" title. Could it be that the worksheet asks to identify the interval, and the *topic* is 3rds, but some questions are trick questions or inversions?
OR, could it be that I am misreading the clefs?
Line 1: Treble.
Line 2: Bass.
Line 3: Treble.
Line 4: Bass.
Let's check Measure 4 again. Treble Clef. A and F.
If we invert A->F (m6), we get F->A (M3).
Let's check Measure 8 again. Bass Clef. G and E.
If we invert G->E (m6), we get E->G (m3).
Let's check Measure 13 again. Treble Clef. D# and F#.
D#->F# is m3.
Let's check Measure 18 again. Bass Clef. Bb and G.
Bb->G is M6. Inversion G->Bb is m3.
It is highly likely that the worksheet contains inverted intervals (6ths) which correspond to 3rds when inverted. However, standard music theory rules state you name the interval as written (from bottom note to top note). An interval of a 6th is a 6th.
*Alternative interpretation:* Is it possible the clefs are different?
What if Line 1 is Alto Clef? No, standard school worksheets use Treble/Bass.
Let's assume the question asks for the interval as written. I will provide the exact interval name. If the title is "3rds", it's possible the teacher considers 6ths as "related" or wants the student to identify the 3rd hidden inside via inversion, BUT "Name the interval" usually means the direct distance.
However, looking at the provided solution format, I should just list the answers. I will stick to the strict definition: Bottom note to Top note.
Let's double check every single one.
1. Treble. G4, B4. G-A-B. 3 steps. G to B is 4 semitones. Major 3rd.
2. Treble. G4, Bb4. G to Bb is 3 semitones. Minor 3rd.
3. Treble. F4, Ab4. F to Ab is 3 semitones. Minor 3rd.
4. Treble. A4, F5. A-B-C-D-E-F. 6 steps. A to F is 8 semitones. Minor 6th. *(Note: If the answer key expects "Major 3rd" due to inversion, that's a specific pedagogical choice, but "Minor 6th" is the correct literal name. Given the title, I will add a note or stick to the literal name. Actually, looking at similar online worksheets, sometimes they mix inversions. I will provide the literal name.)*
5. Treble. G4, B4. Same as #1. Major 3rd.
6. Bass. Bb3, D4. Bb-C-D. 3 steps. Bb to D is 4 semitones. Major 3rd.
7. Bass. F#3, A#3. F#-G#-A#. 3 steps. F# to A# is 4 semitones. Major 3rd.
8. Bass. G2, E3. G-A-B-C-D-E. 6 steps. G to E is 9 semitones. Major 6th. *(Wait, G2 to E3. G2(391Hz) to E3(164Hz? No. G2 is low. E3 is higher. G2->G3 is octave. E3 is below G3. So G2 to E3 is a major 6th. Yes.)*
9. Bass. C3, Eb3. C-D-Eb. 3 steps. C to Eb is 3 semitones. Minor 3rd.
10. Bass. Bb2, Db3. Bb-C-Db. 3 steps. Bb to Db is 3 semitones. Minor 3rd.
11. Treble. C4, E4. C-D-E. 3 steps. C to E is 4 semitones. Major 3rd.
12. Treble. Bb3, Db4. Bb-C-Db. 3 steps. Bb to Db is 3 semitones. Minor 3rd.
13. Treble. D#4, F#5? No. Look at the position.
Left note: Top line F. Sharp. So F#.
Right note: 4th line D. Sharp. So D#.
Which is lower? D is below F. So the interval is D# up to F#.
D#-E#(F)-F#. Steps: D, E, F. 3 steps.
D# to F# is 3 semitones (D#->E is 1, E->F is 1, F->F# is 1? No. D# to E is 0.5. E to F is 0.5. F to F# is 0.5. Total 1.5 tones = 3 semitones).
So D# to F# is a Minor 3rd.
14. Treble. G4, B4. G to B is 4 semitones. Major 3rd.
15. Treble. G#4, B4?
Left note: G (2nd line). Sharp. G#.
Right note: B (3rd line). Natural.
G# to B. Steps: G, A, B. 3 steps.
G# to B is 3 semitones (G#->A is 0.5, A->A# is 0.5, A#->B is 0.5? No. G# to A is 0.5. A to B is 1.0. Total 1.5 tones = 3 semitones).
So G# to B is a Minor 3rd.
16. Bass. C3, Eb3. Same as #9. Minor 3rd.
17. Bass. F3, Ab3.
Left note: F (4th line).
Right note: Ab (5th line? No, 5th line is A. So Ab is on the 5th line).
F to Ab. Steps: F, G, Ab. 3 steps.
F to Ab is 3 semitones. Minor 3rd.
18. Bass. Bb3, G4?
Left note: Bb (2nd line? No, 2nd line is B. So Bb is on 2nd line).
Right note: G (4th space? No, 4th space is G. Yes).
Bb3 to G4. Steps: B, C, D, E, F, G. 6 steps.
Bb to G is 9 semitones. Major 6th.
19. Bass. Eb3, Gb3?
Left note: Eb (3rd space).
Right note: Gb (4th space).
Eb to Gb. Steps: E, F, G. 3 steps.
Eb to Gb is 3 semitones. Minor 3rd.
20. Bass. Eb3, Gb3?
Wait, let's look at 19 and 20 again in Crop 4.
Measure 19: Notes are Eb (3rd space) and Gb (4th space).
Measure 20: Notes are Eb (3rd space) and Gb (4th space).
Are they identical?
Let's look at the accidentals.
Measure 19: Flat on E, Flat on G.
Measure 20: Flat on E, Flat on G.
They look identical. Is there a subtle difference?
Maybe Measure 19 is Gb and Measure 20 is G natural?
Looking at the original full image...
Measure 19: The accidental on the top note looks like a flat.
Measure 20: The accidental on the top note looks like a flat.
However, usually worksheets don't repeat identical problems unless it's a mistake or I'm missing something.
Let's look at Measure 19's bottom note. It's Eb.
Let's look at Measure 20's bottom note. It's Eb.
Let's look at the key signature. No key signature.
Is it possible Measure 20 is Eb to G natural?
If Measure 20 is Eb to G natural, that is a Major 3rd.
Let's zoom in on Measure 20 top note. The symbol is a bit blurry. In Measure 19, the flat sign is clear. In Measure 20, the symbol next to the G is also a flat sign. It looks exactly the same as 19.
Wait, look at Measure 19 again. The bottom note has a flat. The top note has a flat.
Look at Measure 20. The bottom note has a flat. The top note has a flat.
Okay, I will list them both as Minor 3rds, but I suspect #20 might be intended as Major 3rd (Eb-G) if the flat is a typo or artifact. However, visually it is a flat. I will stick to what is visible.
*Self-Correction on 4, 8, 18:*
The title is "Interval Worksheet - 3rds".
It is extremely common in beginner theory to have sections on "3rds and 6ths" together because they are inversions. If the title is strictly "3rds", it's possible the user who made the worksheet made a mistake in the title, or expects the student to write the inversion.
However, without explicit instruction to invert, "Name the interval" means name the distance from low to high.
I will provide the literal names.
Let's double check #13.
Treble Clef.
Note 1: F# (Top line).
Note 2: D# (4th line).
Visually, F# is higher. So the interval is D# up to F#.
D# to F# is a Minor 3rd. Correct.
Let's double check #15.
Treble Clef.
Note 1: G# (2nd line).
Note 2: B (3rd line).
G# up to B.
G# to B is a Minor 3rd. Correct.
Let's double check #7.
Bass Clef.
Note 1: F# (4th line).
Note 2: A# (5th line? No, 5th line is A. So A# is on 5th line).
F# up to A#.
F# to A# is a Major 3rd. Correct.
Let's double check #10.
Bass Clef.
Note 1: Bb (2nd line).
Note 2: Db (3rd line? No, 3rd line is D. So Db is on 3rd line).
Bb up to Db.
Bb to Db is a Minor 3rd. Correct.
Summary of Answers:
1. Major 3rd
2. Minor 3rd
3. Minor 3rd
4. Minor 6th
5. Major 3rd
6. Major 3rd
7. Major 3rd
8. Major 6th
9. Minor 3rd
10. Minor 3rd
11. Major 3rd
12. Minor 3rd
13. Minor 3rd
14. Major 3rd
15. Minor 3rd
16. Minor 3rd
17. Minor 3rd
18. Major 6th
19. Minor 3rd
20. Minor 3rd
*Note on the "6ths":* Since the worksheet is titled "3rds", there is a chance the teacher wants the *inversion* named (e.g., #4 Minor 6th inverts to Major 3rd). However, without that instruction, the correct answer is the interval as written. I will provide the as-written answers but add a small tip about inversions in the explanation if I were explaining. Since ExplainAnswer is false, I will just provide the final list. Wait, the prompt says "If ExplainAnswer is true...". Here ExplainAnswer is false. So I must ONLY provide the Final Answer?
Re-reading rules:
"If an option is false, completely omit that section."
"Final Answer: [Provide only the final correct answer — this should come AFTER all explanations and reasoning.]"
The structure requires:
1. Reasoning (hidden/internal or shown? "Complete ALL reasoning and explanations BEFORE writing the Final Answer.")
2. Final Answer section.
The prompt says: "Response format rules: → Always follow the structure below. → If an option is false, completely omit that section."
So I will omit Explanation, TeachTopic, and GeneratePractice.
I will just output the Final Answer.
Wait, "Complete ALL reasoning and explanations BEFORE writing the Final Answer." This implies I should show my work?
Usually, "ExplainAnswer: false" means "Don't include an 'Explanation:' section".
But "Complete ALL reasoning... BEFORE writing the Final Answer" suggests I should think through it (which I did in the thought block) and then just give the answer.
Let's look at the "Final Answer" format. It should be the solution.
I will list the answers 1-20 clearly.
One final check on #20.
Comparing #19 and #20 in the last crop.
#19: Eb (3rd space), Gb (4th space).
#20: Eb (3rd space), Gb (4th space).
They are visually identical. I will treat them as such.
One final check on #4, #8, #18.
If this is a "3rds" worksheet, could #4 be F and A?
If the clef was Bass, F is 4th line, A is 5th line. F to A is Major 3rd.
But the clef is Treble.
Could #4 be A and C?
A (2nd space), C (3rd space). A to C is Minor 3rd.
But the top note is clearly on the top line (F).
So it is A to F.
I will stick with Minor 6th.
Final check on #13.
D# to F#.
D# (4th line) to F# (top line).
Wait, in Treble Clef:
Lines: E G B D F.
D is 4th line. F is 5th line.
So D# to F# is a 3rd.
My previous analysis said "D# up to F#".
D# to F# is a Minor 3rd.
Correct.
Final check on #15.
G# to B.
G (2nd line) to B (3rd line).
G# to B is a Minor 3rd.
Correct.
The answers are ready.
Final Answer:
1. Major 3rd
2. Minor 3rd
3. Minor 3rd
4. Minor 6th
5. Major 3rd
6. Major 3rd
7. Major 3rd
8. Major 6th
9. Minor 3rd
10. Minor 3rd
11. Major 3rd
12. Minor 3rd
13. Minor 3rd
14. Major 3rd
15. Minor 3rd
16. Minor 3rd
17. Minor 3rd
18. Major 6th
19. Minor 3rd
20. Minor 3rd
Parent Tip: Review the logic above to help your child master the concept of music intervals worksheet.