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Identifying the interval from A♭ to D♯

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4

This is a very theoretical question but it's confusing me a little.

So intervals overlap - That's why I can call a major 3rd a diminished 4th, and such.

However, from what I understand, a perfect 5th only overlaps with a diminished 6th. You cannot refer to a 7 semitone interval using a 4th because the "biggest" fourth, augmented fourth, is a diminished 5th.

So consider this (treble clef):

What would you call the interval here? From what I understand it should be called a 4th because of the distance between the notes. But that's impossible.

theory intervals

share|improve this question

edited 1 hour ago

Richard

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fishamitfishamit

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4

This is a very theoretical question but it's confusing me a little.

So intervals overlap - That's why I can call a major 3rd a diminished 4th, and such.

However, from what I understand, a perfect 5th only overlaps with a diminished 6th. You cannot refer to a 7 semitone interval using a 4th because the "biggest" fourth, augmented fourth, is a diminished 5th.

So consider this (treble clef):

What would you call the interval here? From what I understand it should be called a 4th because of the distance between the notes. But that's impossible.

theory intervals

share|improve this question

edited 1 hour ago

Richard

43k697185

asked 2 hours ago

fishamitfishamit

232

New contributor

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

add a comment | 

This is a very theoretical question but it's confusing me a little.

So intervals overlap - That's why I can call a major 3rd a diminished 4th, and such.

However, from what I understand, a perfect 5th only overlaps with a diminished 6th. You cannot refer to a 7 semitone interval using a 4th because the "biggest" fourth, augmented fourth, is a diminished 5th.

So consider this (treble clef):

What would you call the interval here? From what I understand it should be called a 4th because of the distance between the notes. But that's impossible.

theory intervals

share|improve this question

edited 1 hour ago

Richard

43k697185

asked 2 hours ago

fishamitfishamit

232

New contributor

fishamit 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 1 hour ago

Richard

43k697185

asked 2 hours ago

fishamitfishamit

232

New contributor

fishamit 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 1 hour ago

Richard

43k697185

asked 2 hours ago

fishamitfishamit

232

New contributor

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

edited 1 hour ago

Richard

43k697185

edited 1 hour ago

Richard

43k697185

asked 2 hours ago

fishamitfishamit

232

New contributor

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

asked 2 hours ago

fishamitfishamit

232

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5

You're correct; it should be called a fourth!

But since "augmented fourth" won't be big enough for this, we kind of had to make up a term, and the world of music theory collectively decided upon calling this interval a doubly augmented fourth. This just means that it's one half step larger than an augmented fourth. (As such, the augmented fourth is not really the "biggest" fourth possible.)

The same is true for diminished intervals; a half step smaller than a diminished sixth will be a doubly diminished sixth.

Any interval can overlap with (or, in more theoretical terms, "be enharmonic to") another interval. A perfect fifth could, in theory, be enharmonic to a triply augmented third—not that you'll encounter those very often!

share|improve this answer

edited 1 hour ago

answered 2 hours ago

RichardRichard

43k697185

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  This is the best way to explain doubly-augmented intervals I've heard. +1!
  
  – user45266
  1 hour ago
  

  
  
  
  

add a comment | 

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5

You're correct; it should be called a fourth!

But since "augmented fourth" won't be big enough for this, we kind of had to make up a term, and the world of music theory collectively decided upon calling this interval a doubly augmented fourth. This just means that it's one half step larger than an augmented fourth. (As such, the augmented fourth is not really the "biggest" fourth possible.)

The same is true for diminished intervals; a half step smaller than a diminished sixth will be a doubly diminished sixth.

Any interval can overlap with (or, in more theoretical terms, "be enharmonic to") another interval. A perfect fifth could, in theory, be enharmonic to a triply augmented third—not that you'll encounter those very often!

share|improve this answer

edited 1 hour ago

answered 2 hours ago

RichardRichard

43k697185

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  This is the best way to explain doubly-augmented intervals I've heard. +1!
  
  – user45266
  1 hour ago
  

  
  
  
  

add a comment | 

5

You're correct; it should be called a fourth!

But since "augmented fourth" won't be big enough for this, we kind of had to make up a term, and the world of music theory collectively decided upon calling this interval a doubly augmented fourth. This just means that it's one half step larger than an augmented fourth. (As such, the augmented fourth is not really the "biggest" fourth possible.)

The same is true for diminished intervals; a half step smaller than a diminished sixth will be a doubly diminished sixth.

Any interval can overlap with (or, in more theoretical terms, "be enharmonic to") another interval. A perfect fifth could, in theory, be enharmonic to a triply augmented third—not that you'll encounter those very often!

share|improve this answer

edited 1 hour ago

answered 2 hours ago

RichardRichard

43k697185

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  This is the best way to explain doubly-augmented intervals I've heard. +1!
  
  – user45266
  1 hour ago
  

  
  
  
  

add a comment | 

You're correct; it should be called a fourth!

But since "augmented fourth" won't be big enough for this, we kind of had to make up a term, and the world of music theory collectively decided upon calling this interval a doubly augmented fourth. This just means that it's one half step larger than an augmented fourth. (As such, the augmented fourth is not really the "biggest" fourth possible.)

The same is true for diminished intervals; a half step smaller than a diminished sixth will be a doubly diminished sixth.

Any interval can overlap with (or, in more theoretical terms, "be enharmonic to") another interval. A perfect fifth could, in theory, be enharmonic to a triply augmented third—not that you'll encounter those very often!

share|improve this answer

edited 1 hour ago

answered 2 hours ago

RichardRichard

43k697185

share|improve this answer

edited 1 hour ago

answered 2 hours ago

RichardRichard

43k697185

answered 2 hours ago

RichardRichard

43k697185

answered 2 hours ago

RichardRichard

43k697185