Mfcttrf

What do you call something that goes against the spirit of the law, but is legal when interpreting the law to the letter?

How to deal with fear of taking dependencies

How can I fix this gap between bookcases I made?

I see my dog run

LWC and complex parameters

Copycat chess is back

Calculate Levenshtein distance between two strings in Python

Could a US political party gain complete control over the government by removing checks & balances?

If a centaur druid Wild Shapes into a Giant Elk, do their Charge features stack?

Does a dangling wire really electrocute me if I'm standing in water?

What does "enim et" mean?

Are cabin dividers used to "hide" the flex of the airplane?

Is there a familial term for apples and pears?

Extreme, but not acceptable situation and I can't start the work tomorrow morning

How could a lack of term limits lead to a "dictatorship?"

How would photo IDs work for shapeshifters?

I’m planning on buying a laser printer but concerned about the life cycle of toner in the machine

New order #4: World

Why did the Germans forbid the possession of pet pigeons in Rostov-on-Don in 1941?

Denied boarding due to overcrowding, Sparpreis ticket. What are my rights?

What is the offset in a seaplane's hull?

Can I legally use front facing blue light in the UK?

How can I plot a Farey diagram?

Why is the design of haulage companies so “special”?

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.

theory scales intervals

share|improve this question

edited 3 hours ago

AduyummY

11012

asked yesterday

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
  yesterday
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

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

  
  
  
  

add a comment | 

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.

theory scales intervals

share|improve this question

edited 3 hours ago

AduyummY

11012

asked yesterday

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
  yesterday
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

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

  
  
  
  

add a comment | 

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

share|improve this question

edited 3 hours ago

AduyummY

11012

asked yesterday

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|improve this question

edited 3 hours ago

AduyummY

11012

asked yesterday

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|improve this question

edited 3 hours ago

AduyummY

11012

asked yesterday

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 3 hours ago

AduyummY

11012

edited 3 hours ago

AduyummY

11012

asked yesterday

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.

asked yesterday

stupr instupr in

372

1 Answer
1

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

edited 20 hours ago

answered yesterday

RichardRichard

44.8k7105193

• 
  
  
  

  
  

  
  
  
  
  
  

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

  
  
  
  

add a comment | 

Your Answer

StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "240"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);

else
createEditor();

);

function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);



);

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

draft saved

draft discarded

Sign up or log in

StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);

Sign up using Google

Sign up using Facebook

Sign up using Email and Password

Post as a guest

Name

Email

Required, but never shown

StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmusic.stackexchange.com%2fquestions%2f82510%2fis-it-true-that-the-augmented-fourth-a4-and-the-diminished-fifth-d5-are-the%23new-answer', 'question_page');

);

Post as a guest

Name

Email

Required, but never shown

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 20 hours ago

answered yesterday

RichardRichard

44.8k7105193

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Comments are not for extended discussion; this conversation has been moved to chat.
  
  – Doktor Mayhem♦
  16 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 20 hours ago

answered yesterday

RichardRichard

44.8k7105193

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Comments are not for extended discussion; this conversation has been moved to chat.
  
  – Doktor Mayhem♦
  16 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 20 hours ago

answered yesterday

RichardRichard

44.8k7105193

share|improve this answer

edited 20 hours ago

answered yesterday

RichardRichard

44.8k7105193

answered yesterday

RichardRichard

44.8k7105193

answered yesterday

RichardRichard

44.8k7105193