“The augmented fourth (A4) and the diminished fifth (d5) are the only augmented and diminished intervals...
how is this true?
A4 & d5 are 2 types of tritones. and there are 1 or 2 tritones in a diatonic scale depending on the definition. but A4 and d5 are the only 2 augmented and diminished intervals in a diatonic scale? i don't think so. please correct me if i am wrong.
theory
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stupr instupr in
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add a comment |
how is this true?
A4 & d5 are 2 types of tritones. and there are 1 or 2 tritones in a diatonic scale depending on the definition. but A4 and d5 are the only 2 augmented and diminished intervals in a diatonic scale? i don't think so. please correct me if i am wrong.
theory
asked 1 hour ago
stupr instupr in
111
New contributor
stupr in is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
"i don't think so. please correct me if i am wrong." -- maybe you should expand on this to clarify your question.
– David Bowling
55 mins ago
Source of the quote: en.wikipedia.org/wiki/Interval_(music)#Augmented_and_diminished
– replete
47 mins ago
add a comment |
how is this true?
A4 & d5 are 2 types of tritones. and there are 1 or 2 tritones in a diatonic scale depending on the definition. but A4 and d5 are the only 2 augmented and diminished intervals in a diatonic scale? i don't think so. please correct me if i am wrong.
theory
asked 1 hour ago
stupr instupr in
111
New contributor
stupr in is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
how is this true?
A4 & d5 are 2 types of tritones. and there are 1 or 2 tritones in a diatonic scale depending on the definition. but A4 and d5 are the only 2 augmented and diminished intervals in a diatonic scale? i don't think so. please correct me if i am wrong.
theory
theory
asked 1 hour ago
stupr instupr in
111
New contributor
stupr in is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 1 hour ago
stupr instupr in
111
New contributor
stupr in is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 1 hour ago
stupr instupr in
111
New contributor
stupr in is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 1 hour ago
stupr instupr in
111
asked 1 hour ago
stupr instupr in
111
111
New contributor
stupr in is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
stupr in is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
stupr in is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
"i don't think so. please correct me if i am wrong." -- maybe you should expand on this to clarify your question.
– David Bowling
55 mins ago
Source of the quote: en.wikipedia.org/wiki/Interval_(music)#Augmented_and_diminished
– replete
47 mins ago
add a comment |
"i don't think so. please correct me if i am wrong." -- maybe you should expand on this to clarify your question.
– David Bowling
55 mins ago
Source of the quote: en.wikipedia.org/wiki/Interval_(music)#Augmented_and_diminished
– replete
47 mins ago
"i don't think so. please correct me if i am wrong." -- maybe you should expand on this to clarify your question.
– David Bowling
55 mins ago
"i don't think so. please correct me if i am wrong." -- maybe you should expand on this to clarify your question.
– David Bowling
55 mins ago
Source of the quote: en.wikipedia.org/wiki/Interval_(music)#Augmented_and_diminished
– replete
47 mins ago
Source of the quote: en.wikipedia.org/wiki/Interval_(music)#Augmented_and_diminished
– replete
47 mins ago
add a comment |
1 Answer
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I don't know your source, but the term "diatonic scale" typically refers to the major scale and its rotations (i.e., the modes). As such, we can test this claim just by looking at the intervals of a major scale.
- All seconds within in the scale are either minor (E–F and B–C) or major (C–D, D–E, F–G, G–A, A–B).
- All thirds are either minor (D–F, E–G, A–C, B–D) or major (C–E, F–A, G–B).
- All fourths are either perfect (C–F, D–G, E–A, G–C, A–D, B–E), or augmented (F–B). There's one augmented interval!
And conveniently, we don't have to do the rest of the work. Due to intervallic inversion, we know that seconds invert to sevenths, thirds to sixths, and fourths to fifths. Furthermore, we know that the qualities invert in particular ways, and only diminished/augmented intervals invert to each other.
As such, the only diminished/augmented intervals of a fifth, sixth, or seventh is the diminished fifth.
So yes, in fact, your source is correct: the only augmented/diminished interval that appears in the diatonic scale is the tritone.
You may be thinking of the augmented second (and its inversion, the diminished seventh) that is included in the harmonic minor scale. But this scale is not usually considered a "diatonic scale" since it requires a chromatic pitch: the raised leading tone.
answered 52 mins ago
RichardRichard
44.6k7105192
well there are other diminished &augmented intervals that lie on the diatonic scale. maybe what is meant by the source is that A4 & d5 are the only 2 that aren't enharmonic equivalent of any other interval. is that it?
– stupr in
47 mins ago
1
What other diminished and augmented intervals lie on the diatonic scale?
– Richard
46 mins ago
1
The only way you can get those intervals within a diatonic scale is through enharmonic reinterpretation. But in the act of enharmonic reinterpretation, you're no longer using the diatonic scale. Using onlyC D E F G A B, it's impossible to have those intervals.
– Richard
42 mins ago
1
Are you saying E to F is a diminished fourth? And yes, for this purpose "enharmonic reinterpretation" just means "enharmonic equivalent."
– Richard
34 mins ago
1
@stuprin E to F is just a half step. More specifically, it's a minor second. It's certainly not a fourth, since E up to F is only two note names and thus a type of second.
– Richard
18 mins ago
|
show 7 more comments
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1 Answer
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I don't know your source, but the term "diatonic scale" typically refers to the major scale and its rotations (i.e., the modes). As such, we can test this claim just by looking at the intervals of a major scale.
- All seconds within in the scale are either minor (E–F and B–C) or major (C–D, D–E, F–G, G–A, A–B).
- All thirds are either minor (D–F, E–G, A–C, B–D) or major (C–E, F–A, G–B).
- All fourths are either perfect (C–F, D–G, E–A, G–C, A–D, B–E), or augmented (F–B). There's one augmented interval!
And conveniently, we don't have to do the rest of the work. Due to intervallic inversion, we know that seconds invert to sevenths, thirds to sixths, and fourths to fifths. Furthermore, we know that the qualities invert in particular ways, and only diminished/augmented intervals invert to each other.
As such, the only diminished/augmented intervals of a fifth, sixth, or seventh is the diminished fifth.
So yes, in fact, your source is correct: the only augmented/diminished interval that appears in the diatonic scale is the tritone.
You may be thinking of the augmented second (and its inversion, the diminished seventh) that is included in the harmonic minor scale. But this scale is not usually considered a "diatonic scale" since it requires a chromatic pitch: the raised leading tone.
answered 52 mins ago
RichardRichard
44.6k7105192
well there are other diminished &augmented intervals that lie on the diatonic scale. maybe what is meant by the source is that A4 & d5 are the only 2 that aren't enharmonic equivalent of any other interval. is that it?
– stupr in
47 mins ago
1
What other diminished and augmented intervals lie on the diatonic scale?
– Richard
46 mins ago
1
The only way you can get those intervals within a diatonic scale is through enharmonic reinterpretation. But in the act of enharmonic reinterpretation, you're no longer using the diatonic scale. Using onlyC D E F G A B, it's impossible to have those intervals.
– Richard
42 mins ago
1
Are you saying E to F is a diminished fourth? And yes, for this purpose "enharmonic reinterpretation" just means "enharmonic equivalent."
– Richard
34 mins ago
1
@stuprin E to F is just a half step. More specifically, it's a minor second. It's certainly not a fourth, since E up to F is only two note names and thus a type of second.
– Richard
18 mins ago
|
show 7 more comments
I don't know your source, but the term "diatonic scale" typically refers to the major scale and its rotations (i.e., the modes). As such, we can test this claim just by looking at the intervals of a major scale.
- All seconds within in the scale are either minor (E–F and B–C) or major (C–D, D–E, F–G, G–A, A–B).
- All thirds are either minor (D–F, E–G, A–C, B–D) or major (C–E, F–A, G–B).
- All fourths are either perfect (C–F, D–G, E–A, G–C, A–D, B–E), or augmented (F–B). There's one augmented interval!
And conveniently, we don't have to do the rest of the work. Due to intervallic inversion, we know that seconds invert to sevenths, thirds to sixths, and fourths to fifths. Furthermore, we know that the qualities invert in particular ways, and only diminished/augmented intervals invert to each other.
As such, the only diminished/augmented intervals of a fifth, sixth, or seventh is the diminished fifth.
So yes, in fact, your source is correct: the only augmented/diminished interval that appears in the diatonic scale is the tritone.
You may be thinking of the augmented second (and its inversion, the diminished seventh) that is included in the harmonic minor scale. But this scale is not usually considered a "diatonic scale" since it requires a chromatic pitch: the raised leading tone.
answered 52 mins ago
RichardRichard
44.6k7105192
well there are other diminished &augmented intervals that lie on the diatonic scale. maybe what is meant by the source is that A4 & d5 are the only 2 that aren't enharmonic equivalent of any other interval. is that it?
– stupr in
47 mins ago
1
What other diminished and augmented intervals lie on the diatonic scale?
– Richard
46 mins ago
1
The only way you can get those intervals within a diatonic scale is through enharmonic reinterpretation. But in the act of enharmonic reinterpretation, you're no longer using the diatonic scale. Using onlyC D E F G A B, it's impossible to have those intervals.
– Richard
42 mins ago
1
Are you saying E to F is a diminished fourth? And yes, for this purpose "enharmonic reinterpretation" just means "enharmonic equivalent."
– Richard
34 mins ago
1
@stuprin E to F is just a half step. More specifically, it's a minor second. It's certainly not a fourth, since E up to F is only two note names and thus a type of second.
– Richard
18 mins ago
|
show 7 more comments
I don't know your source, but the term "diatonic scale" typically refers to the major scale and its rotations (i.e., the modes). As such, we can test this claim just by looking at the intervals of a major scale.
- All seconds within in the scale are either minor (E–F and B–C) or major (C–D, D–E, F–G, G–A, A–B).
- All thirds are either minor (D–F, E–G, A–C, B–D) or major (C–E, F–A, G–B).
- All fourths are either perfect (C–F, D–G, E–A, G–C, A–D, B–E), or augmented (F–B). There's one augmented interval!
And conveniently, we don't have to do the rest of the work. Due to intervallic inversion, we know that seconds invert to sevenths, thirds to sixths, and fourths to fifths. Furthermore, we know that the qualities invert in particular ways, and only diminished/augmented intervals invert to each other.
As such, the only diminished/augmented intervals of a fifth, sixth, or seventh is the diminished fifth.
So yes, in fact, your source is correct: the only augmented/diminished interval that appears in the diatonic scale is the tritone.
You may be thinking of the augmented second (and its inversion, the diminished seventh) that is included in the harmonic minor scale. But this scale is not usually considered a "diatonic scale" since it requires a chromatic pitch: the raised leading tone.
answered 52 mins ago
RichardRichard
44.6k7105192
I don't know your source, but the term "diatonic scale" typically refers to the major scale and its rotations (i.e., the modes). As such, we can test this claim just by looking at the intervals of a major scale.
- All seconds within in the scale are either minor (E–F and B–C) or major (C–D, D–E, F–G, G–A, A–B).
- All thirds are either minor (D–F, E–G, A–C, B–D) or major (C–E, F–A, G–B).
- All fourths are either perfect (C–F, D–G, E–A, G–C, A–D, B–E), or augmented (F–B). There's one augmented interval!
And conveniently, we don't have to do the rest of the work. Due to intervallic inversion, we know that seconds invert to sevenths, thirds to sixths, and fourths to fifths. Furthermore, we know that the qualities invert in particular ways, and only diminished/augmented intervals invert to each other.
As such, the only diminished/augmented intervals of a fifth, sixth, or seventh is the diminished fifth.
So yes, in fact, your source is correct: the only augmented/diminished interval that appears in the diatonic scale is the tritone.
You may be thinking of the augmented second (and its inversion, the diminished seventh) that is included in the harmonic minor scale. But this scale is not usually considered a "diatonic scale" since it requires a chromatic pitch: the raised leading tone.
answered 52 mins ago
RichardRichard
44.6k7105192
answered 52 mins ago
RichardRichard
44.6k7105192
answered 52 mins ago
RichardRichard
44.6k7105192
answered 52 mins ago
RichardRichard
44.6k7105192
44.6k7105192
well there are other diminished &augmented intervals that lie on the diatonic scale. maybe what is meant by the source is that A4 & d5 are the only 2 that aren't enharmonic equivalent of any other interval. is that it?
– stupr in
47 mins ago
1
What other diminished and augmented intervals lie on the diatonic scale?
– Richard
46 mins ago
1
The only way you can get those intervals within a diatonic scale is through enharmonic reinterpretation. But in the act of enharmonic reinterpretation, you're no longer using the diatonic scale. Using onlyC D E F G A B, it's impossible to have those intervals.
– Richard
42 mins ago
1
Are you saying E to F is a diminished fourth? And yes, for this purpose "enharmonic reinterpretation" just means "enharmonic equivalent."
– Richard
34 mins ago
1
@stuprin E to F is just a half step. More specifically, it's a minor second. It's certainly not a fourth, since E up to F is only two note names and thus a type of second.
– Richard
18 mins ago
|
show 7 more comments
well there are other diminished &augmented intervals that lie on the diatonic scale. maybe what is meant by the source is that A4 & d5 are the only 2 that aren't enharmonic equivalent of any other interval. is that it?
– stupr in
47 mins ago
1
What other diminished and augmented intervals lie on the diatonic scale?
– Richard
46 mins ago
1
The only way you can get those intervals within a diatonic scale is through enharmonic reinterpretation. But in the act of enharmonic reinterpretation, you're no longer using the diatonic scale. Using onlyC D E F G A B, it's impossible to have those intervals.
– Richard
42 mins ago
1
Are you saying E to F is a diminished fourth? And yes, for this purpose "enharmonic reinterpretation" just means "enharmonic equivalent."
– Richard
34 mins ago
1
@stuprin E to F is just a half step. More specifically, it's a minor second. It's certainly not a fourth, since E up to F is only two note names and thus a type of second.
– Richard
18 mins ago
well there are other diminished &augmented intervals that lie on the diatonic scale. maybe what is meant by the source is that A4 & d5 are the only 2 that aren't enharmonic equivalent of any other interval. is that it?
– stupr in
47 mins ago
well there are other diminished &augmented intervals that lie on the diatonic scale. maybe what is meant by the source is that A4 & d5 are the only 2 that aren't enharmonic equivalent of any other interval. is that it?
– stupr in
47 mins ago
1
1
What other diminished and augmented intervals lie on the diatonic scale?
– Richard
46 mins ago
What other diminished and augmented intervals lie on the diatonic scale?
– Richard
46 mins ago
1
1
The only way you can get those intervals within a diatonic scale is through enharmonic reinterpretation. But in the act of enharmonic reinterpretation, you're no longer using the diatonic scale. Using only
C D E F G A B, it's impossible to have those intervals.– Richard
42 mins ago
The only way you can get those intervals within a diatonic scale is through enharmonic reinterpretation. But in the act of enharmonic reinterpretation, you're no longer using the diatonic scale. Using only
C D E F G A B, it's impossible to have those intervals.– Richard
42 mins ago
1
1
Are you saying E to F is a diminished fourth? And yes, for this purpose "enharmonic reinterpretation" just means "enharmonic equivalent."
– Richard
34 mins ago
Are you saying E to F is a diminished fourth? And yes, for this purpose "enharmonic reinterpretation" just means "enharmonic equivalent."
– Richard
34 mins ago
1
1
@stuprin E to F is just a half step. More specifically, it's a minor second. It's certainly not a fourth, since E up to F is only two note names and thus a type of second.
– Richard
18 mins ago
@stuprin E to F is just a half step. More specifically, it's a minor second. It's certainly not a fourth, since E up to F is only two note names and thus a type of second.
– Richard
18 mins ago
|
show 7 more comments
stupr in is a new contributor. Be nice, and check out our Code of Conduct.
stupr in is a new contributor. Be nice, and check out our Code of Conduct.
stupr in is a new contributor. Be nice, and check out our Code of Conduct.
stupr in is a new contributor. Be nice, and check out our Code of Conduct.
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"i don't think so. please correct me if i am wrong." -- maybe you should expand on this to clarify your question.
– David Bowling
55 mins ago
Source of the quote: en.wikipedia.org/wiki/Interval_(music)#Augmented_and_diminished
– replete
47 mins ago