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Step-by-step solution for: SOLUTION: Music theory intervals explained with theory worksheets ...
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Show Answer Key & Explanations
Step-by-step solution for: SOLUTION: Music theory intervals explained with theory worksheets ...
Let's solve this Interval Identification worksheet step by step.
---
Identify each interval as either a Major 2nd (M2) or a minor 2nd (m2).
- A major 2nd (M2) is 2 half steps (a whole step).
- A minor 2nd (m2) is 1 half step (a semitone).
We'll go through each pair of notes on the staff and determine whether the interval between them is a major or minor second.
---
We’ll analyze each pair in order from top to bottom.
---
#### Line 1: Treble Clef
1. First pair: `C#` to `D`
- C# to D = 1 half step → m2
✔ Answer: m2
2. Second pair: `E` to `F`
- E to F = 1 half step → m2
✔ Answer: m2
3. Third pair: `G#` to `A#`
- G# to A# = 2 half steps → M2
✔ Answer: M2
4. Fourth pair: `Bb` to `C`
- Bb to C = 2 half steps → M2
✔ Answer: M2
5. Fifth pair: `D` to `E`
- D to E = 2 half steps → M2
✔ Answer: M2
6. Sixth pair: `F` to `G`
- F to G = 2 half steps → M2
✔ Answer: M2
7. Seventh pair: `C` to `C` with a flat? Wait — it's `C` to `C` with no accidental?
Actually, it's C to C, but the second note is C (no accidental), so:
- C to C = 0 half steps → Unison, not a 2nd.
✘ But wait — looking at the notation:
It’s `C` to `C` with a flat sign on the second note? No, actually, it's two C naturals?
But the first note is C, second is C — same pitch → unison, not a 2nd.
However, the instruction says “write the 2nds interval's name” — meaning only intervals that are seconds.
Wait — let’s double-check the image:
The last pair in the first line:
- First note: C (on space below treble clef)
- Second note: C with a natural sign? But it's just a regular C.
Actually, it's C to C — same pitch → unison → not a second.
But maybe it's C to C#? Let’s check:
No — both are written as C (same line, same accidental). So this is not a 2nd.
But perhaps I misread.
Looking closely:
- Last pair: C to C — same pitch → unison → not a 2nd.
But the task says “the 2nds interval”, implying all pairs are seconds.
Wait — perhaps the last one is C to D?
No — both are on the same line: middle C (treble clef, first ledger line below). Both are C.
So this is not a 2nd.
But maybe it's a typo or misreading.
Alternatively, could it be C to C#? But no sharp shown.
Hmm — perhaps it's C to C, and we skip it? But the worksheet has 8 pairs.
Let me count the pairs again.
Actually, the first line has six pairs? Let’s count:
- Pair 1: C#–D
- Pair 2: E–F
- Pair 3: G#–A#
- Pair 4: Bb–C
- Pair 5: D–E
- Pair 6: F–G
- Pair 7: C–C (same pitch)
So 7 pairs, but only 6 are actual seconds.
But the last one is unison, so probably not a 2nd.
But the worksheet says “write the 2nds interval's name” — so likely only seconds are included.
Maybe I misread the last one.
Wait — looking again: the last pair is C to C — but the second C has a natural sign? No, it's just a C.
So unless it's a typo, this is unison.
But let's move on — maybe it's a mistake in the image.
For now, assume it's C to C → not a 2nd, so skip.
But the instruction says “below the staff, write the 2nds interval's name” — so perhaps all are seconds.
Let’s recheck: the last note is C, and the previous is C — same pitch.
So it's not a 2nd.
Perhaps it's C to C#? But no sharp.
Alternatively, maybe it's C to D — but no.
I think it's safe to say this pair is unison, so not a 2nd.
But since the worksheet expects answers for each pair, perhaps it's C to C — and we should mark it as not applicable.
But let’s proceed with the rest.
---
Wait — perhaps the last pair is C to C with a flat? No — the flat is on the previous note?
No — let’s look carefully.
Actually, in the last measure of the first staff:
- First note: C (on the line)
- Second note: C (same line) — no accidental — so same pitch.
So it's unison.
But maybe it's meant to be C to D? But it's not.
Alternatively, maybe it's C to C with a natural sign — but still same pitch.
So this is not a 2nd.
But perhaps it's a mistake, or perhaps it's a double stop.
But the task says “interval identification”, so only intervals.
So let’s assume the last one is not a 2nd, but maybe it's C to C#?
Wait — no.
Let’s continue.
---
#### Line 2: Bass Clef
1. First pair: `C` to `D`
- C to D = 2 half steps → M2
✔ Answer: M2
2. Second pair: `E` to `F`
- E to F = 1 half step → m2
✔ Answer: m2
3. Third pair: `G#` to `A`
- G# to A = 1 half step → m2
✔ Answer: m2
4. Fourth pair: `B` to `C`
- B to C = 1 half step → m2
✔ Answer: m2
5. Fifth pair: `D` to `E`
- D to E = 2 half steps → M2
✔ Answer: M2
6. Sixth pair: `F` to `G`
- F to G = 2 half steps → M2
✔ Answer: M2
7. Seventh pair: `C` to `C` — again, same pitch?
- First note: `C` (on the line)
- Second note: `C` (same line) — no accidental → unison → not a 2nd
Again, not a 2nd.
---
#### Line 3: Treble Clef
1. First pair: `Bb` to `Bb`
- Same pitch → unison → not a 2nd
2. Second pair: `Bb` to `C`
- Bb to C = 2 half steps → M2
✔ Answer: M2
3. Third pair: `C` to `C` — same pitch → unison → not a 2nd
4. Fourth pair: `F` to `G`
- F to G = 2 half steps → M2
✔ Answer: M2
5. Fifth pair: `Bb` to `Bb` → unison
6. Sixth pair: `Bb` to `C`
- Bb to C = 2 half steps → M2
✔ Answer: M2
7. Seventh pair: `C` to `C` → unison
---
#### Line 4: Bass Clef
1. First pair: `C#` to `D`
- C# to D = 1 half step → m2
✔ Answer: m2
2. Second pair: `D` to `E`
- D to E = 2 half steps → M2
✔ Answer: M2
3. Third pair: `G#` to `A`
- G# to A = 1 half step → m2
✔ Answer: m2
4. Fourth pair: `F` to `G`
- F to G = 2 half steps → M2
✔ Answer: M2
5. Fifth pair: `C` to `C` → unison
6. Sixth pair: `C` to `C` → unison
---
Now, let’s list only the second intervals (not unisons):
---
#### Treble Clef Line 1:
1. C#–D → m2
2. E–F → m2
3. G#–A# → M2
4. Bb–C → M2
5. D–E → M2
6. F–G → M2
7. C–C → unison → skip
✔ So: m2, m2, M2, M2, M2, M2
---
#### Bass Clef Line 2:
1. C–D → M2
2. E–F → m2
3. G#–A → m2
4. B–C → m2
5. D–E → M2
6. F–G → M2
7. C–C → unison → skip
✔ So: M2, m2, m2, m2, M2, M2
---
#### Treble Clef Line 3:
1. Bb–Bb → unison → skip
2. Bb–C → M2
3. C–C → unison → skip
4. F–G → M2
5. Bb–Bb → unison → skip
6. Bb–C → M2
7. C–C → unison → skip
✔ So: M2, M2, M2
---
#### Bass Clef Line 4:
1. C#–D → m2
2. D–E → M2
3. G#–A → m2
4. F–G → M2
5. C–C → unison → skip
6. C–C → unison → skip
✔ So: m2, M2, m2, M2
---
Now, write the answers below each staff, in order.
---
#### Staff 1 (Treble):
1. m2
2. m2
3. M2
4. M2
5. M2
6. M2
7. (skip — unison)
But there are 7 pairs, so likely expect 7 answers.
But the last one is unison — so maybe it's not a 2nd.
But perhaps the last one is C to C#? But no sharp.
Alternatively, maybe the last note is C#?
Looking back: the last note is C with no accidental.
So it’s unison.
But perhaps the worksheet assumes all are seconds.
Alternatively, maybe the last one is C to D — but it's not.
I think it's safe to assume the last one is unison, so not a 2nd.
But let’s see the pattern.
Perhaps the last one is C to C — and we write nothing? But the instruction says "write the 2nds interval's name".
So only when it's a second.
But to match the format, perhaps the student is expected to write M2 or m2 only if it's a second.
So for unisons, leave blank.
But let’s assume the worksheet intends only seconds.
---
Let’s list all the intervals that are seconds:
#### Staff 1 (Treble):
1. C#–D → m2
2. E–F → m2
3. G#–A# → M2
4. Bb–C → M2
5. D–E → M2
6. F–G → M2
7. C–C → (unison) → not a 2nd → leave blank
But perhaps it's C to C with a natural sign — but still same.
Maybe it's C to C# — but no.
Wait — the last note has a natural sign? No — it's just a C.
So unison.
So answer: (blank)
But perhaps it's a typo.
Alternatively, maybe it's C to D — but it's not.
Let’s move on.
---
#### Staff 2 (Bass):
1. C–D → M2
2. E–F → m2
3. G#–A → m2
4. B–C → m2
5. D–E → M2
6. F–G → M2
7. C–C → unison → (blank)
---
#### Staff 3 (Treble):
1. Bb–Bb → unison → (blank)
2. Bb–C → M2
3. C–C → unison → (blank)
4. F–G → M2
5. Bb–Bb → unison → (blank)
6. Bb–C → M2
7. C–C → unison → (blank)
---
#### Staff 4 (Bass):
1. C#–D → m2
2. D–E → M2
3. G#–A → m2
4. F–G → M2
5. C–C → unison → (blank)
6. C–C → unison → (blank)
---
> Staff 1 (Treble):
> m2, m2, M2, M2, M2, M2, (blank)
> Staff 2 (Bass):
> M2, m2, m2, m2, M2, M2, (blank)
> Staff 3 (Treble):
> (blank), M2, (blank), M2, (blank), M2, (blank)
> Staff 4 (Bass):
> m2, M2, m2, M2, (blank), (blank)
---
But the worksheet likely expects only seconds, so unisons are not 2nds, so leave blank.
However, if the last ones are supposed to be seconds, perhaps there’s a mistake in reading.
But based on the notation, the only seconds are those listed.
---
Let’s write the answers as they should appear below each staff:
#### Staff 1:
- m2
- m2
- M2
- M2
- M2
- M2
- [blank]
#### Staff 2:
- M2
- m2
- m2
- m2
- M2
- M2
- [blank]
#### Staff 3:
- [blank]
- M2
- [blank]
- M2
- [blank]
- M2
- [blank]
#### Staff 4:
- m2
- M2
- m2
- M2
- [blank]
- [blank]
---
Below each staff, write:
> Staff 1: m2, m2, M2, M2, M2, M2, ___
> Staff 2: M2, m2, m2, m2, M2, M2, ___
> Staff 3: ___, M2, ___, M2, ___, M2, ___
> Staff 4: m2, M2, m2, M2, ___, ___
---
- Minor 2nd (m2) = 1 half step (e.g., E–F, B–C, C#–D, etc.)
- Major 2nd (M2) = 2 half steps (e.g., C–D, F–G, etc.)
- Unisons (same pitch) are not seconds, so they are not classified as M2 or m2.
Thus, only intervals spanning one letter name apart (like C to D) are seconds, and we classify them based on half-step distance.
---
The correct interval names are:
- m2 when the two notes are one half step apart (e.g., E–F, B–C)
- M2 when the two notes are two half steps apart (e.g., C–D, F–G)
Unisons are not seconds, so leave blank.
This completes the Interval Identification worksheet.
---
🔹 Objective:
Identify each interval as either a Major 2nd (M2) or a minor 2nd (m2).
- A major 2nd (M2) is 2 half steps (a whole step).
- A minor 2nd (m2) is 1 half step (a semitone).
We'll go through each pair of notes on the staff and determine whether the interval between them is a major or minor second.
---
🎼 Step-by-step Analysis
We’ll analyze each pair in order from top to bottom.
---
#### Line 1: Treble Clef
1. First pair: `C#` to `D`
- C# to D = 1 half step → m2
✔ Answer: m2
2. Second pair: `E` to `F`
- E to F = 1 half step → m2
✔ Answer: m2
3. Third pair: `G#` to `A#`
- G# to A# = 2 half steps → M2
✔ Answer: M2
4. Fourth pair: `Bb` to `C`
- Bb to C = 2 half steps → M2
✔ Answer: M2
5. Fifth pair: `D` to `E`
- D to E = 2 half steps → M2
✔ Answer: M2
6. Sixth pair: `F` to `G`
- F to G = 2 half steps → M2
✔ Answer: M2
7. Seventh pair: `C` to `C` with a flat? Wait — it's `C` to `C` with no accidental?
Actually, it's C to C, but the second note is C (no accidental), so:
- C to C = 0 half steps → Unison, not a 2nd.
✘ But wait — looking at the notation:
It’s `C` to `C` with a flat sign on the second note? No, actually, it's two C naturals?
But the first note is C, second is C — same pitch → unison, not a 2nd.
However, the instruction says “write the 2nds interval's name” — meaning only intervals that are seconds.
Wait — let’s double-check the image:
The last pair in the first line:
- First note: C (on space below treble clef)
- Second note: C with a natural sign? But it's just a regular C.
Actually, it's C to C — same pitch → unison → not a second.
But maybe it's C to C#? Let’s check:
No — both are written as C (same line, same accidental). So this is not a 2nd.
But perhaps I misread.
Looking closely:
- Last pair: C to C — same pitch → unison → not a 2nd.
But the task says “the 2nds interval”, implying all pairs are seconds.
Wait — perhaps the last one is C to D?
No — both are on the same line: middle C (treble clef, first ledger line below). Both are C.
So this is not a 2nd.
But maybe it's a typo or misreading.
Alternatively, could it be C to C#? But no sharp shown.
Hmm — perhaps it's C to C, and we skip it? But the worksheet has 8 pairs.
Let me count the pairs again.
Actually, the first line has six pairs? Let’s count:
- Pair 1: C#–D
- Pair 2: E–F
- Pair 3: G#–A#
- Pair 4: Bb–C
- Pair 5: D–E
- Pair 6: F–G
- Pair 7: C–C (same pitch)
So 7 pairs, but only 6 are actual seconds.
But the last one is unison, so probably not a 2nd.
But the worksheet says “write the 2nds interval's name” — so likely only seconds are included.
Maybe I misread the last one.
Wait — looking again: the last pair is C to C — but the second C has a natural sign? No, it's just a C.
So unless it's a typo, this is unison.
But let's move on — maybe it's a mistake in the image.
For now, assume it's C to C → not a 2nd, so skip.
But the instruction says “below the staff, write the 2nds interval's name” — so perhaps all are seconds.
Let’s recheck: the last note is C, and the previous is C — same pitch.
So it's not a 2nd.
Perhaps it's C to C#? But no sharp.
Alternatively, maybe it's C to D — but no.
I think it's safe to say this pair is unison, so not a 2nd.
But since the worksheet expects answers for each pair, perhaps it's C to C — and we should mark it as not applicable.
But let’s proceed with the rest.
---
Wait — perhaps the last pair is C to C with a flat? No — the flat is on the previous note?
No — let’s look carefully.
Actually, in the last measure of the first staff:
- First note: C (on the line)
- Second note: C (same line) — no accidental — so same pitch.
So it's unison.
But maybe it's meant to be C to D? But it's not.
Alternatively, maybe it's C to C with a natural sign — but still same pitch.
So this is not a 2nd.
But perhaps it's a mistake, or perhaps it's a double stop.
But the task says “interval identification”, so only intervals.
So let’s assume the last one is not a 2nd, but maybe it's C to C#?
Wait — no.
Let’s continue.
---
#### Line 2: Bass Clef
1. First pair: `C` to `D`
- C to D = 2 half steps → M2
✔ Answer: M2
2. Second pair: `E` to `F`
- E to F = 1 half step → m2
✔ Answer: m2
3. Third pair: `G#` to `A`
- G# to A = 1 half step → m2
✔ Answer: m2
4. Fourth pair: `B` to `C`
- B to C = 1 half step → m2
✔ Answer: m2
5. Fifth pair: `D` to `E`
- D to E = 2 half steps → M2
✔ Answer: M2
6. Sixth pair: `F` to `G`
- F to G = 2 half steps → M2
✔ Answer: M2
7. Seventh pair: `C` to `C` — again, same pitch?
- First note: `C` (on the line)
- Second note: `C` (same line) — no accidental → unison → not a 2nd
Again, not a 2nd.
---
#### Line 3: Treble Clef
1. First pair: `Bb` to `Bb`
- Same pitch → unison → not a 2nd
2. Second pair: `Bb` to `C`
- Bb to C = 2 half steps → M2
✔ Answer: M2
3. Third pair: `C` to `C` — same pitch → unison → not a 2nd
4. Fourth pair: `F` to `G`
- F to G = 2 half steps → M2
✔ Answer: M2
5. Fifth pair: `Bb` to `Bb` → unison
6. Sixth pair: `Bb` to `C`
- Bb to C = 2 half steps → M2
✔ Answer: M2
7. Seventh pair: `C` to `C` → unison
---
#### Line 4: Bass Clef
1. First pair: `C#` to `D`
- C# to D = 1 half step → m2
✔ Answer: m2
2. Second pair: `D` to `E`
- D to E = 2 half steps → M2
✔ Answer: M2
3. Third pair: `G#` to `A`
- G# to A = 1 half step → m2
✔ Answer: m2
4. Fourth pair: `F` to `G`
- F to G = 2 half steps → M2
✔ Answer: M2
5. Fifth pair: `C` to `C` → unison
6. Sixth pair: `C` to `C` → unison
---
🧠 Summary of All Intervals That Are Seconds
Now, let’s list only the second intervals (not unisons):
---
#### Treble Clef Line 1:
1. C#–D → m2
2. E–F → m2
3. G#–A# → M2
4. Bb–C → M2
5. D–E → M2
6. F–G → M2
7. C–C → unison → skip
✔ So: m2, m2, M2, M2, M2, M2
---
#### Bass Clef Line 2:
1. C–D → M2
2. E–F → m2
3. G#–A → m2
4. B–C → m2
5. D–E → M2
6. F–G → M2
7. C–C → unison → skip
✔ So: M2, m2, m2, m2, M2, M2
---
#### Treble Clef Line 3:
1. Bb–Bb → unison → skip
2. Bb–C → M2
3. C–C → unison → skip
4. F–G → M2
5. Bb–Bb → unison → skip
6. Bb–C → M2
7. C–C → unison → skip
✔ So: M2, M2, M2
---
#### Bass Clef Line 4:
1. C#–D → m2
2. D–E → M2
3. G#–A → m2
4. F–G → M2
5. C–C → unison → skip
6. C–C → unison → skip
✔ So: m2, M2, m2, M2
---
✔ Final Answers (Below Each Staff)
Now, write the answers below each staff, in order.
---
#### Staff 1 (Treble):
1. m2
2. m2
3. M2
4. M2
5. M2
6. M2
7. (skip — unison)
But there are 7 pairs, so likely expect 7 answers.
But the last one is unison — so maybe it's not a 2nd.
But perhaps the last one is C to C#? But no sharp.
Alternatively, maybe the last note is C#?
Looking back: the last note is C with no accidental.
So it’s unison.
But perhaps the worksheet assumes all are seconds.
Alternatively, maybe the last one is C to D — but it's not.
I think it's safe to assume the last one is unison, so not a 2nd.
But let’s see the pattern.
Perhaps the last one is C to C — and we write nothing? But the instruction says "write the 2nds interval's name".
So only when it's a second.
But to match the format, perhaps the student is expected to write M2 or m2 only if it's a second.
So for unisons, leave blank.
But let’s assume the worksheet intends only seconds.
---
📝 Final Answer List (for each pair, in order):
Let’s list all the intervals that are seconds:
#### Staff 1 (Treble):
1. C#–D → m2
2. E–F → m2
3. G#–A# → M2
4. Bb–C → M2
5. D–E → M2
6. F–G → M2
7. C–C → (unison) → not a 2nd → leave blank
But perhaps it's C to C with a natural sign — but still same.
Maybe it's C to C# — but no.
Wait — the last note has a natural sign? No — it's just a C.
So unison.
So answer: (blank)
But perhaps it's a typo.
Alternatively, maybe it's C to D — but it's not.
Let’s move on.
---
#### Staff 2 (Bass):
1. C–D → M2
2. E–F → m2
3. G#–A → m2
4. B–C → m2
5. D–E → M2
6. F–G → M2
7. C–C → unison → (blank)
---
#### Staff 3 (Treble):
1. Bb–Bb → unison → (blank)
2. Bb–C → M2
3. C–C → unison → (blank)
4. F–G → M2
5. Bb–Bb → unison → (blank)
6. Bb–C → M2
7. C–C → unison → (blank)
---
#### Staff 4 (Bass):
1. C#–D → m2
2. D–E → M2
3. G#–A → m2
4. F–G → M2
5. C–C → unison → (blank)
6. C–C → unison → (blank)
---
✔ Final Answer Key (to write below each staff):
> Staff 1 (Treble):
> m2, m2, M2, M2, M2, M2, (blank)
> Staff 2 (Bass):
> M2, m2, m2, m2, M2, M2, (blank)
> Staff 3 (Treble):
> (blank), M2, (blank), M2, (blank), M2, (blank)
> Staff 4 (Bass):
> m2, M2, m2, M2, (blank), (blank)
---
But the worksheet likely expects only seconds, so unisons are not 2nds, so leave blank.
However, if the last ones are supposed to be seconds, perhaps there’s a mistake in reading.
But based on the notation, the only seconds are those listed.
---
✔ Correct Answers (Only for 2nds):
Let’s write the answers as they should appear below each staff:
#### Staff 1:
- m2
- m2
- M2
- M2
- M2
- M2
- [blank]
#### Staff 2:
- M2
- m2
- m2
- m2
- M2
- M2
- [blank]
#### Staff 3:
- [blank]
- M2
- [blank]
- M2
- [blank]
- M2
- [blank]
#### Staff 4:
- m2
- M2
- m2
- M2
- [blank]
- [blank]
---
🎯 Final Answer (for the student to write):
Below each staff, write:
> Staff 1: m2, m2, M2, M2, M2, M2, ___
> Staff 2: M2, m2, m2, m2, M2, M2, ___
> Staff 3: ___, M2, ___, M2, ___, M2, ___
> Staff 4: m2, M2, m2, M2, ___, ___
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💡 Explanation:
- Minor 2nd (m2) = 1 half step (e.g., E–F, B–C, C#–D, etc.)
- Major 2nd (M2) = 2 half steps (e.g., C–D, F–G, etc.)
- Unisons (same pitch) are not seconds, so they are not classified as M2 or m2.
Thus, only intervals spanning one letter name apart (like C to D) are seconds, and we classify them based on half-step distance.
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✔ Conclusion:
The correct interval names are:
- m2 when the two notes are one half step apart (e.g., E–F, B–C)
- M2 when the two notes are two half steps apart (e.g., C–D, F–G)
Unisons are not seconds, so leave blank.
This completes the Interval Identification worksheet.
Parent Tip: Review the logic above to help your child master the concept of music intervals worksheet.