“The augmented fourth (A4) and the diminished fifth (d5) are the only augmented and diminished intervals...












1















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.










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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
    48 mins ago
















1















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.










share|improve this question







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
    48 mins ago














1












1








1








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.










share|improve this question







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






share|improve this question







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.











share|improve this question







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.









share|improve this question




share|improve this question






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

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stupr in is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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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
    48 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
    48 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
48 mins ago





Source of the quote: en.wikipedia.org/wiki/Interval_(music)#Augmented_and_diminished

– replete
48 mins ago










1 Answer
1






active

oldest

votes


















2














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.






share|improve this answer
























  • 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
    47 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 only C D E F G A B, it's impossible to have those intervals.

    – Richard
    43 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
    35 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
    19 mins ago












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1 Answer
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active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

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active

oldest

votes









2














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.






share|improve this answer
























  • 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
    47 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 only C D E F G A B, it's impossible to have those intervals.

    – Richard
    43 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
    35 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
    19 mins ago
















2














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.






share|improve this answer
























  • 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
    47 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 only C D E F G A B, it's impossible to have those intervals.

    – Richard
    43 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
    35 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
    19 mins ago














2












2








2







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.






share|improve this answer













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.







share|improve this answer












share|improve this answer



share|improve this answer










answered 53 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
    47 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 only C D E F G A B, it's impossible to have those intervals.

    – Richard
    43 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
    35 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
    19 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





    What other diminished and augmented intervals lie on the diatonic scale?

    – Richard
    47 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 only C D E F G A B, it's impossible to have those intervals.

    – Richard
    43 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
    35 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
    19 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
47 mins ago





What other diminished and augmented intervals lie on the diatonic scale?

– Richard
47 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
43 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
43 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
35 mins ago





Are you saying E to F is a diminished fourth? And yes, for this purpose "enharmonic reinterpretation" just means "enharmonic equivalent."

– Richard
35 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
19 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
19 mins ago










stupr in is a new contributor. Be nice, and check out our Code of Conduct.










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