Is it true that “The augmented fourth (A4) and the diminished fifth (d5) are the only aug and dim intervals that appear in diatonic scales”How to differentiate between a diminished fifth and an augmented fourth interval?Are doubly augmented and doubly diminished intervals practical?Is there a term to describe an augmented second as a step or tone instead of an interval?How to correctly invert non-compound greater-than-octave intervals?Diminished and augmented scalesWhat's significant about diatonic scales? Are there equivalents to the diatonic scales in smaller divisions of the octave (e.g. 19-EDO, 31-EDO, etc.)?Blues Scale: F Sharp or G Flat?Is there such a thing as a diminished unison?Which are all the musical intervals that are valid?Term for distinguishing dim/perfect/aug intervals from dim/min/maj/aug ones

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Is it true that “The augmented fourth (A4) and the diminished fifth (d5) are the only aug and dim intervals that appear in diatonic scales”


How to differentiate between a diminished fifth and an augmented fourth interval?Are doubly augmented and doubly diminished intervals practical?Is there a term to describe an augmented second as a step or tone instead of an interval?How to correctly invert non-compound greater-than-octave intervals?Diminished and augmented scalesWhat's significant about diatonic scales? Are there equivalents to the diatonic scales in smaller divisions of the octave (e.g. 19-EDO, 31-EDO, etc.)?Blues Scale: F Sharp or G Flat?Is there such a thing as a diminished unison?Which are all the musical intervals that are valid?Term for distinguishing dim/perfect/aug intervals from dim/min/maj/aug ones













5















According to a source that I found, A4 & d5 are 2 types of tritones, and there are 1 or 2 tritones in a diatonic scale, depending on the definition. I cannot see how A4 and d5 are the only 2 augmented and diminished intervals in a diatonic scale.



Please correct me if I am wrong.










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  • 3





    "i don't think so. please correct me if i am wrong." -- maybe you should expand on this to clarify your question.

    – David Bowling
    21 hours ago











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

    – replete
    21 hours ago















5















According to a source that I found, A4 & d5 are 2 types of tritones, and there are 1 or 2 tritones in a diatonic scale, depending on the definition. I cannot see how A4 and d5 are the only 2 augmented and diminished intervals in a diatonic scale.



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.















  • 3





    "i don't think so. please correct me if i am wrong." -- maybe you should expand on this to clarify your question.

    – David Bowling
    21 hours ago











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

    – replete
    21 hours ago













5












5








5








According to a source that I found, A4 & d5 are 2 types of tritones, and there are 1 or 2 tritones in a diatonic scale, depending on the definition. I cannot see how A4 and d5 are the only 2 augmented and diminished intervals in a diatonic scale.



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.












According to a source that I found, A4 & d5 are 2 types of tritones, and there are 1 or 2 tritones in a diatonic scale, depending on the definition. I cannot see how A4 and d5 are the only 2 augmented and diminished intervals in a diatonic scale.



Please correct me if I am wrong.







theory scales intervals






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stupr in is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











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edited 28 mins ago









AduyummY

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asked 22 hours ago









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  • 3





    "i don't think so. please correct me if i am wrong." -- maybe you should expand on this to clarify your question.

    – David Bowling
    21 hours ago











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

    – replete
    21 hours ago












  • 3





    "i don't think so. please correct me if i am wrong." -- maybe you should expand on this to clarify your question.

    – David Bowling
    21 hours ago











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

    – replete
    21 hours ago







3




3





"i don't think so. please correct me if i am wrong." -- maybe you should expand on this to clarify your question.

– David Bowling
21 hours 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
21 hours ago













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

– replete
21 hours ago





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

– replete
21 hours ago










1 Answer
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15














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.



Or, you may be thinking of enharmonically spelled intervals. C to E is a diminished fourth if E is spelled as F♭. But if you're suddenly using F♭, you're no longer using just the notes of the diatonic scale. Even though F♭ is enharmonic to E, they are distinct pitches, and so using that pitch violates the premise of the original question. It's the same as the augmented seventh between C and B♯. Since B♯ isn't in the diatonic scale, we must think of this interval as C to C, which is a perfect octave.






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1 Answer
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1 Answer
1






active

oldest

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active

oldest

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active

oldest

votes









15














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.



Or, you may be thinking of enharmonically spelled intervals. C to E is a diminished fourth if E is spelled as F♭. But if you're suddenly using F♭, you're no longer using just the notes of the diatonic scale. Even though F♭ is enharmonic to E, they are distinct pitches, and so using that pitch violates the premise of the original question. It's the same as the augmented seventh between C and B♯. Since B♯ isn't in the diatonic scale, we must think of this interval as C to C, which is a perfect octave.






share|improve this answer

























  • Comments are not for extended discussion; this conversation has been moved to chat.

    – Doktor Mayhem
    14 hours ago















15














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.



Or, you may be thinking of enharmonically spelled intervals. C to E is a diminished fourth if E is spelled as F♭. But if you're suddenly using F♭, you're no longer using just the notes of the diatonic scale. Even though F♭ is enharmonic to E, they are distinct pitches, and so using that pitch violates the premise of the original question. It's the same as the augmented seventh between C and B♯. Since B♯ isn't in the diatonic scale, we must think of this interval as C to C, which is a perfect octave.






share|improve this answer

























  • Comments are not for extended discussion; this conversation has been moved to chat.

    – Doktor Mayhem
    14 hours ago













15












15








15







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.



Or, you may be thinking of enharmonically spelled intervals. C to E is a diminished fourth if E is spelled as F♭. But if you're suddenly using F♭, you're no longer using just the notes of the diatonic scale. Even though F♭ is enharmonic to E, they are distinct pitches, and so using that pitch violates the premise of the original question. It's the same as the augmented seventh between C and B♯. Since B♯ isn't in the diatonic scale, we must think of this interval as C to C, which is a perfect octave.






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.



Or, you may be thinking of enharmonically spelled intervals. C to E is a diminished fourth if E is spelled as F♭. But if you're suddenly using F♭, you're no longer using just the notes of the diatonic scale. Even though F♭ is enharmonic to E, they are distinct pitches, and so using that pitch violates the premise of the original question. It's the same as the augmented seventh between C and B♯. Since B♯ isn't in the diatonic scale, we must think of this interval as C to C, which is a perfect octave.







share|improve this answer














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answered 21 hours ago









RichardRichard

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  • Comments are not for extended discussion; this conversation has been moved to chat.

    – Doktor Mayhem
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Comments are not for extended discussion; this conversation has been moved to chat.

– Doktor Mayhem
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ValueError: Expected n_neighbors <= n_samples, but n_samples = 1, n_neighbors = 6 (SMOTE) The 2019 Stack Overflow Developer Survey Results Are InCan SMOTE be applied over sequence of words (sentences)?ValueError when doing validation with random forestsSMOTE and multi class oversamplingLogic behind SMOTE-NC?ValueError: Error when checking target: expected dense_1 to have shape (7,) but got array with shape (1,)SmoteBoost: Should SMOTE be ran individually for each iteration/tree in the boosting?solving multi-class imbalance classification using smote and OSSUsing SMOTE for Synthetic Data generation to improve performance on unbalanced dataproblem of entry format for a simple model in KerasSVM SMOTE fit_resample() function runs forever with no result