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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?Are there solfege syllables for diminished and augmented imperfect intervals?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

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

share

edited 13 hours ago

Doktor Mayhem♦

31.8k850125

asked 20 hours ago

stupr instupr in

372

New contributor

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

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Source of the quote: en.wikipedia.org/wiki/Interval_(music)#Augmented_and_diminished
  
  – replete
  20 hours ago
  

  
  
  
  

add a comment | 

5

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

share

edited 13 hours ago

Doktor Mayhem♦

31.8k850125

asked 20 hours ago

stupr instupr in

372

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
  20 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Source of the quote: en.wikipedia.org/wiki/Interval_(music)#Augmented_and_diminished
  
  – replete
  20 hours ago
  

  
  
  
  

add a comment | 

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

share

edited 13 hours ago

Doktor Mayhem♦

31.8k850125

asked 20 hours ago

stupr instupr in

372

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

edited 13 hours ago

Doktor Mayhem♦

31.8k850125

asked 20 hours ago

stupr instupr in

372

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

edited 13 hours ago

Doktor Mayhem♦

31.8k850125

asked 20 hours ago

stupr instupr in

372

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.

edited 13 hours ago

Doktor Mayhem♦

31.8k850125

edited 13 hours ago

Doktor Mayhem♦

31.8k850125

asked 20 hours ago

stupr instupr in

372

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asked 20 hours ago

stupr instupr in

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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.

share|improve this answer

edited 16 hours ago

answered 20 hours ago

RichardRichard

44.8k7105193

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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.

share|improve this answer

edited 16 hours ago

answered 20 hours ago

RichardRichard

44.8k7105193

• 
  
  
  

  
  

  
  
  
  
  
  

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

  
  
  
  

add a comment | 

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

edited 16 hours ago

answered 20 hours ago

RichardRichard

44.8k7105193

• 
  
  
  

  
  

  
  
  
  
  
  

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

  
  
  
  

add a comment | 

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

edited 16 hours ago

answered 20 hours ago

RichardRichard

44.8k7105193

share|improve this answer

edited 16 hours ago

answered 20 hours ago

RichardRichard

44.8k7105193

answered 20 hours ago

RichardRichard

44.8k7105193

answered 20 hours ago

RichardRichard

44.8k7105193