Tables of intervals of musical pitch.
Version of Saturday 18 July 2020.
Dave Barber's e-mail and
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Table one lists intervals of musical pitch frequently encountered in the music of the Western world. Within each box are an abbreviation for the interval's name, and the number of semitones it contains. For instance, the diminished fifth can be written dim 5th, and it contains 6 semitones. Some combinations of terms are not used, such as minor fifth or perfect sixth. Note the superscript 2 for doubly augmented or diminished.

table one second third fourth fifth sixth seventh octave
doubly augmented aug2 2nd
4
aug2 3rd
6
aug2 4th
7
aug2 5th
9
aug2 6th
11
aug2 7th
13
aug2 8ve
14
augmented aug 2nd
3
aug 3rd
5
aug 4th
6
aug 5th
8
aug 6th
10
aug 7th
12
aug 8ve
13
major maj 2nd
2
maj 3rd
4
maj 6th
9
maj 7th
11
perfect per 4th
5
per 5th
7
per 8ve
12
minor min 2nd
1
min 3rd
3
min 6th
8
min 7th
10
diminished dim 2nd
0
dim 3rd
2
dim 4th
4
dim 5th
6
dim 6th
7
dim 7th
9
dim 8ve
11
doubly diminished dim2 2nd
−1
dim2 3rd
1
dim2 4th
3
dim2 5th
5
dim2 6th
6
dim2 7th
8
dim2 8ve
10

Larger intervals can of course be defined. A ninth is an octave plus a second; inclusive numbering of the notes within an interval leads to the perhaps surprising result 9 = 8 + 2. Similarly, a tenth an octave plus a third (10 = 8 + 3), et cetera. Also possible are intervals that are augmented or diminished more than twice.

The smallest diatonic interval, the unison, is formed by two notes of the same scale degree in the same octave. It is not listed in the tables on this page because the two notes almost always have the same accidentals, in which case the interval is perfect. Moveover, outside of strict polyphony there is often no clear indication of which note of an imperfect unison is intended to be higher, with the result that an augmented unison is arguably the same as a diminished unison. A similar observation applies to the second when diminished one or more times.

Seconds, thirds, sixths and sevenths, ninths, and tenths can never be perfect; while unisons, fourths, fifths, octaves, and elevenths can never be major or minor.


If an interval is larger than a unison but smaller than an octave, then it can be inverted when the upper note is lowered by one octave, or the lower raised by one octave. The interval's name is converted as in table two:

table two
secondseventh
thirdsixth
fourthfifth
perfectperfect
majorminor
augmenteddiminished
doubly augmenteddoubly diminished

For instance, a diminished third becomes an augmented sixth when inverted, and a perfect fourth becomes a perfect fifth. The notion of inversion is ambiguous for the unison, or for intervals that are more than a seventh.


Some of the interval tables below employ double flats and double sharps. This reveals an inconsistency in musical notation: the double flat does not have a special symbol, but the double sharp does, and it resembles the letter x.

Most computer fonts render the single flat, the natural, and the single sharp decently, but not always attractively. Meanwhile, many computer fonts render the double flat or double sharp disappointingly, if at all. This report skirts that problem by writing two single sharps to indicate the double sharp in most places.

Table three shows what the popular encoding Unicode offers in this regard. Glyphs can vary from one font to the next.

table three
namecodeglyph
double flat 𝄫𝄫
single flat ♭
natural ♮
single sharp♯
double sharp𝄪𝄪

The following sequence reveals how well or poorly the symbols are rendered in the user's browser:

A𝄫
A♭♭
A♭
A♮
A♯
A♯♯
A𝄪

Another page discusses enharmonic spellings.


Table four lists intervals between notes that are natural or singly sharped or flatted; two notes with the same letter name are presumed to be approximately 12 semitones apart. The table is preceded by an excerpt showing how to use it: if B-flat is the lower note of an interval, and C-natural the upper, the interval must be a major second.

table
four

instructive
excerpt
upper note
of interval
A B C
lower
note
of
 interval 
 A  per
8ve
aug
8ve
aug2
8ve
maj
2nd
aug
2nd
aug2
2nd
min
3rd
maj
3rd
aug
3rd
dim
8ve
per
8ve
aug
8ve
min
2nd
maj
2nd
aug
2nd
dim
3rd
min
3rd
maj
3rd
dim2
8ve
dim
8ve
per
8ve
dim
2nd
min
2nd
maj
2nd
dim2
3rd
dim
3rd
min
3rd
 B  min
7th
maj
7th
aug
7th
per
8ve
aug
8ve
aug2
8ve
min
2nd
maj
2nd
aug
2nd
dim
7th
min
7th
maj
7th
dim
8ve
per
8ve
aug
8ve
dim
2nd
min
2nd
maj
2nd
dim2
7th
dim
7th
min
7th
dim2
8ve
dim
8ve
per
8ve
dim2
2nd
dim
2nd
min
2nd

table
four

in full
upper note
of interval
A B C D E F G
lower
note
of
 interval 
 A  per
8ve
aug
8ve
aug2
8ve
maj
2nd
aug
2nd
aug2
2nd
min
3rd
maj
3rd
aug
3rd
per
4th
aug
4th
aug2
4th
per
5th
aug
5th
aug2
5th
min
6th
maj
6th
aug
6th
min
7th
maj
7th
aug
7th
 A  lower
note
of
 interval 
dim
8ve
per
8ve
aug
8ve
min
2nd
maj
2nd
aug
2nd
dim
3rd
min
3rd
maj
3rd
dim
4th
per
4th
aug
4th
dim
5th
per
5th
aug
5th
dim
6th
min
6th
maj
6th
dim
7th
min
7th
maj
7th
dim2
8ve
dim
8ve
per
8ve
dim
2nd
min
2nd
maj
2nd
dim2
3rd
dim
3rd
min
3rd
dim2
4th
dim
4th
per
4th
dim2
5th
dim
5th
per
5th
dim2
6th
dim
6th
min
6th
dim2
7th
dim
7th
min
7th
 B  min
7th
maj
7th
aug
7th
per
8ve
aug
8ve
aug2
8ve
min
2nd
maj
2nd
aug
2nd
min
3rd
maj
3rd
aug
3rd
per
4th
aug
4th
aug2
4th
dim
5th
per
5th
aug
5th
min
6th
maj
6th
aug
6th
 B 
dim
7th
min
7th
maj
7th
dim
8ve
per
8ve
aug
8ve
dim
2nd
min
2nd
maj
2nd
dim
3rd
min
3rd
maj
3rd
dim
4th
per
4th
aug
4th
dim2
5th
dim
5th
per
5th
dim
6th
min
6th
maj
6th
dim2
7th
dim
7th
min
7th
dim2
8ve
dim
8ve
per
8ve
dim2
2nd
dim
2nd
min
2nd
dim2
3rd
dim
3rd
min
3rd
dim2
4th
dim
4th
per
4th
dim3
5th
dim2
5th
dim
5th
dim2
6th
dim
6th
min
6th
 C  maj
6th
aug
6th
aug2
6th
maj
7th
aug
7th
aug2
7th
per
8ve
aug
8ve
aug2
8ve
maj
2nd
aug
2nd
aug2
2nd
maj
3rd
aug
3rd
aug2
3rd
per
4th
aug
4th
aug2
4th
per
5th
aug
5th
aug2
5th
 C 
min
6th
maj
6th
aug
6th
min
7th
maj
7th
aug
7th
dim
8ve
per
8ve
aug
8ve
min
2nd
maj
2nd
aug
2nd
min
3rd
maj
3rd
aug
3rd
dim
4th
per
4th
aug
4th
dim
5th
per
5th
aug
5th
dim
6th
min
6th
maj
6th
dim
7th
min
7th
maj
7th
dim2
8ve
dim
8ve
per
8ve
dim
2nd
min
2nd
maj
2nd
dim
3rd
min
3rd
maj
3rd
dim2
4th
dim
4th
per
4th
dim2
5th
dim
5th
per
5th
 D  per
5th
aug
5th
aug2
5th
maj
6th
aug
6th
aug2
6th
min
7th
maj
7th
aug
7th
per
8ve
aug
8ve
aug2
8ve
maj
2nd
aug
2nd
aug2
2nd
min
3rd
maj
3rd
aug
3rd
per
4th
aug
4th
aug2
4th
 D 
dim
5th
per
5th
aug
5th
min
6th
maj
6th
aug
6th
dim
7th
min
7th
maj
7th
dim
8ve
per
8ve
aug
8ve
min
2nd
maj
2nd
aug
2nd
dim
3rd
min
3rd
maj
3rd
dim
4th
per
4th
aug
4th
dim2
5th
dim
5th
per
5th
dim
6th
min
6th
maj
6th
dim2
7th
dim
7th
min
7th
dim2
8ve
dim
8ve
per
8ve
dim
2nd
min
2nd
maj
2nd
dim2
3rd
dim
3rd
min
3rd
dim2
4th
dim
4th
per
4th
 E  per
4th
aug
4th
aug2
4th
per
5th
aug
5th
aug2
5th
min
6th
maj
6th
aug
6th
min
7th
maj
7th
aug
7th
per
8ve
aug
8ve
aug2
8ve
min
2nd
maj
2nd
aug
2nd
min
3rd
maj
3rd
aug
3rd
 E 
dim
4th
per
4th
aug
4th
dim
5th
per
5th
aug
5th
dim
6th
min
6th
maj
6th
dim
7th
min
7th
maj
7th
dim
8ve
per
8ve
aug
8ve
dim
2nd
min
2nd
maj
2nd
dim
3rd
min
3rd
maj
3rd
dim2
4th
dim
4th
per
4th
dim2
5th
dim
5th
per
5th
dim2
6th
dim
6th
min
6th
dim2
7th
dim
7th
min
7th
dim2
8ve
dim
8ve
per
8ve
dim2
2nd
dim
2nd
min
2nd
dim2
3rd
dim
3rd
min
3rd
 F  maj
3rd
aug
3rd
aug2
3rd
aug
4th
aug2
4th
aug3
4th
per
5th
aug
5th
aug2
5th
maj
6th
aug
6th
aug2
6th
maj
7th
aug
7th
aug2
7th
per
8ve
aug
8ve
aug2
8ve
maj
2nd
aug
2nd
aug2
2nd
 F 
min
3rd
maj
3rd
aug
3rd
per
4th
aug
4th
aug2
4th
dim
5th
per
5th
aug
5th
min
6th
maj
6th
aug
6th
min
7th
maj
7th
aug
7th
dim
8ve
per
8ve
aug
8ve
min
2nd
maj
2nd
aug
2nd
dim
3rd
min
3rd
maj
3rd
dim
4th
per
4th
aug
4th
dim2
5th
dim
5th
per
5th
dim
6th
min
6th
maj
6th
dim
7th
min
7th
maj
7th
dim2
8ve
dim
8ve
per
8ve
dim
2nd
min
2nd
maj
2nd
 G  maj
2nd
aug
2nd
aug2
2nd
maj
3rd
aug
3rd
aug2
3rd
per
4th
aug
4th
aug2
4th
per
5th
aug
5th
aug2
5th
maj
6th
aug
6th
aug2
6th
min
7th
maj
7th
aug
7th
per
8ve
aug
8ve
aug2
8ve
 G 
min
2nd
maj
2nd
aug
2nd
min
3rd
maj
3rd
aug
3rd
dim
4th
per
4th
aug
4th
dim
5th
per
5th
aug
5th
min
6th
maj
6th
aug
6th
dim
7th
min
7th
maj
7th
dim
8ve
per
8ve
aug
8ve
dim
2nd
min
2nd
maj
2nd
dim
3rd
min
3rd
maj
3rd
dim2
4th
dim
4th
per
4th
dim2
5th
dim
5th
per
5th
dim
6th
min
6th
maj
6th
dim2
7th
dim
7th
min
7th
dim2
8ve
dim
8ve
per
8ve
A B C D E F G
upper note
of interval

Table five extends table three by adding notes that are doubly sharped or flatted, with the resultant increase in multiplicity of augmentations and diminutions.

On a separate page is table six, which incorporates triple accidentals.

table
five
upper note
of interval
A B C D E F G
♭♭♯ ♯ ♭♭♯ ♯ ♭♭♯ ♯ ♭♭♯ ♯ ♭♭♯ ♯ ♭♭♯ ♯ ♭♭♯ ♯
lower
note
of
 interval 
 A  ♭♭ per
8ve
aug
8ve
aug2
8ve
aug3
8ve
aug4
8ve
maj
2nd
aug
2nd
aug2
2nd
aug3
2nd
aug4
2nd
min
3rd
maj
3rd
aug
3rd
aug2
3rd
aug3
3rd
per
4th
aug
4th
aug2
4th
aug3
4th
aug4
4th
per
5th
aug
5th
aug2
5th
aug3
5th
aug4
5th
min
6th
maj
6th
aug
6th
aug2
6th
aug3
6th
min
7th
maj
7th
aug
7th
aug2
7th
aug3
7th
♭♭  A  lower
note
of
 interval 
dim
8ve
per
8ve
aug
8ve
aug2
8ve
aug3
8ve
min
2nd
maj
2nd
aug
2nd
aug2
2nd
aug3
2nd
dim
3rd
min
3rd
maj
3rd
aug
3rd
aug2
3rd
dim
4th
per
4th
aug
4th
aug2
4th
aug3
4th
dim
5th
per
5th
aug
5th
aug2
5th
aug3
5th
dim
6th
min
6th
maj
6th
aug
6th
aug2
6th
dim
7th
min
7th
maj
7th
aug
7th
aug2
7th
dim2
8ve
dim
8ve
per
8ve
aug
8ve
aug2
8ve
dim
2nd
min
2nd
maj
2nd
aug
2nd
aug2
2nd
dim2
3rd
dim
3rd
min
3rd
maj
3rd
aug
3rd
dim2
4th
dim
4th
per
4th
aug
4th
aug2
4th
dim2
5th
dim
5th
per
5th
aug
5th
aug2
5th
dim2
6th
dim
6th
min
6th
maj
6th
aug
6th
dim2
7th
dim
7th
min
7th
maj
7th
aug
7th
dim3
8ve
dim2
8ve
dim
8ve
per
8ve
aug
8ve
dim2
2nd
dim
2nd
min
2nd
maj
2nd
aug
2nd
dim3
3rd
dim2
3rd
dim
3rd
min
3rd
maj
3rd
dim3
4th
dim2
4th
dim
4th
per
4th
aug
4th
dim3
5th
dim2
5th
dim
5th
per
5th
aug
5th
dim3
6th
dim2
6th
dim
6th
min
6th
maj
6th
dim3
7th
dim2
7th
dim
7th
min
7th
maj
7th
♯ ♯ dim4
8ve
dim3
8ve
dim2
8ve
dim
8ve
per
8ve
dim3
2nd
dim2
2nd
dim
2nd
min
2nd
maj
2nd
dim4
3rd
dim3
3rd
dim2
3rd
dim
3rd
min
3rd
dim4
4th
dim3
4th
dim2
4th
dim
4th
per
4th
dim4
5th
dim3
5th
dim2
5th
dim
5th
per
5th
dim4
6th
dim3
6th
dim2
6th
dim
6th
min
6th
dim4
7th
dim3
7th
dim2
7th
dim
7th
min
7th
♯ ♯
 B  ♭♭ min
7th
maj
7th
aug
7th
aug2
7th
aug3
7th
per
8ve
aug
8ve
aug2
8ve
aug3
8ve
aug4
8ve
min
2nd
maj
2nd
aug
2nd
aug2
2nd
aug3
2nd
min
3rd
maj
3rd
aug
3rd
aug2
3rd
aug3
3rd
per
4th
aug
4th
aug2
4th
aug3
4th
aug4
4th
dim
5th
per
5th
aug
5th
aug2
5th
aug3
5th
min
6th
maj
6th
aug
6th
aug2
6th
aug3
6th
♭♭  B 
dim
7th
min
7th
maj
7th
aug
7th
aug2
7th
dim
8ve
per
8ve
aug
8ve
aug2
8ve
aug3
8ve
dim
2nd
min
2nd
maj
2nd
aug
2nd
aug2
2nd
dim
3rd
min
3rd
maj
3rd
aug
3rd
aug2
3rd
dim
4th
per
4th
aug
4th
aug2
4th
aug3
4th
dim2
5th
dim
5th
per
5th
aug
5th
aug2
5th
dim
6th
min
6th
maj
6th
aug
6th
aug2
6th
dim2
7th
dim
7th
min
7th
maj
7th
aug
7th
dim2
8ve
dim
8ve
per
8ve
aug
8ve
aug2
8ve
dim2
2nd
dim
2nd
min
2nd
maj
2nd
aug
2nd
dim2
3rd
dim
3rd
min
3rd
maj
3rd
aug
3rd
dim2
4th
dim
4th
per
4th
aug
4th
aug2
4th
dim3
5th
dim2
5th
dim
5th
per
5th
aug
5th
dim2
6th
dim
6th
min
6th
maj
6th
aug
6th
dim3
7th
dim2
7th
dim
7th
min
7th
maj
7th
dim3
8ve
dim2
8ve
dim
8ve
per
8ve
aug
8ve
dim3
2nd
dim2
2nd
dim
2nd
min
2nd
maj
2nd
dim3
3rd
dim2
3rd
dim
3rd
min
3rd
maj
3rd
dim3
4th
dim2
4th
dim
4th
per
4th
aug
4th
dim4
5th
dim3
5th
dim2
5th
dim
5th
per
5th
dim3
6th
dim2
6th
dim
6th
min
6th
maj
6th
♯ ♯ dim4
7th
dim3
7th
dim2
7th
dim
7th
min
7th
dim4
8ve
dim3
8ve
dim2
8ve
dim
8ve
per
8ve
dim4
2nd
dim3
2nd
dim2
2nd
dim
2nd
min
2nd
dim4
3rd
dim3
3rd
dim2
3rd
dim
3rd
min
3rd
dim4
4th
dim3
4th
dim2
4th
dim
4th
per
4th
dim5
5th
dim4
5th
dim3
5th
dim2
5th
dim
5th
dim4
6th
dim3
6th
dim2
6th
dim
6th
min
6th
♯ ♯
 C  ♭♭ maj
6th
aug
6th
aug2
6th
aug3
6th
aug4
6th
maj
7th
aug
7th
aug2
7th
aug3
7th
aug4
7th
per
8ve
aug
8ve
aug2
8ve
aug3
8ve
aug4
8ve
maj
2nd
aug
2nd
aug2
2nd
aug3
2nd
aug4
2nd
maj
3rd
aug
3rd
aug2
3rd
aug3
3rd
aug4
3rd
per
4th
aug
4th
aug2
4th
aug3
4th
aug4
4th
per
5th
aug
5th
aug2
5th
aug3
5th
aug4
5th
♭♭  C 
min
6th
maj
6th
aug
6th
aug2
6th
aug3
6th
min
7th
maj
7th
aug
7th
aug2
7th
aug3
7th
dim
8ve
per
8ve
aug
8ve
aug2
8ve
aug3
8ve
min
2nd
maj
2nd
aug
2nd
aug2
2nd
aug3
2nd
min
3rd
maj
3rd
aug
3rd
aug2
3rd
aug3
3rd
dim
4th
per
4th
aug
4th
aug2
4th
aug3
4th
dim
5th
per
5th
aug
5th
aug2
5th
aug3
5th
dim
6th
min
6th
maj
6th
aug
6th
aug2
6th
dim
7th
min
7th
maj
7th
aug
7th
aug2
7th
dim2
8ve
dim
8ve
per
8ve
aug
8ve
aug2
8ve
dim
2nd
min
2nd
maj
2nd
aug
2nd
aug2
2nd
dim
3rd
min
3rd
maj
3rd
aug
3rd
aug2
3rd
dim2
4th
dim
4th
per
4th
aug
4th
aug2
4th
dim2
5th
dim
5th
per
5th
aug
5th
aug2
5th
dim2
6th
dim
6th
min
6th
maj
6th
aug
6th
dim2
7th
dim
7th
min
7th
maj
7th
aug
7th
dim3
8ve
dim2
8ve
dim
8ve
per
8ve
aug
8ve
dim2
2nd
dim
2nd
min
2nd
maj
2nd
aug
2nd
dim2
3rd
dim
3rd
min
3rd
maj
3rd
aug
3rd
dim3
4th
dim2
4th
dim
4th
per
4th
aug
4th
dim3
5th
dim2
5th
dim
5th
per
5th
aug
5th
♯ ♯ dim3
6th
dim2
6th
dim
6th
min
6th
maj
6th
dim3
7th
dim2
7th
dim
7th
min
7th
maj
7th
dim4
8ve
dim3
8ve
dim2
8ve
dim
8ve
per
8ve
dim3
2nd
dim2
2nd
dim
2nd
min
2nd
maj
2nd
dim3
3rd
dim2
3rd
dim
3rd
min
3rd
maj
3rd
dim4
4th
dim3
4th
dim2
4th
dim
4th
per
4th
dim4
5th
dim3
5th
dim2
5th
dim
5th
per
5th
♯ ♯
 D  ♭♭ per
5th
aug
5th
aug2
5th
aug3
5th
aug4
5th
maj
6th
aug
6th
aug2
6th
aug3
6th
aug4
6th
min
7th
maj
7th
aug
7th
aug2
7th
aug3
7th
per
8ve
aug
8ve
aug2
8ve
aug3
8ve
aug4
8ve
maj
2nd
aug
2nd
aug2
2nd
aug3
2nd
aug4
2nd
min
3rd
maj
3rd
aug
3rd
aug2
3rd
aug3
3rd
per
4th
aug
4th
aug2
4th
aug3
4th
aug4
4th
♭♭  D 
dim
5th
per
5th
aug
5th
aug2
5th
aug3
5th
min
6th
maj
6th
aug
6th
aug2
6th
aug3
6th
dim
7th
min
7th
maj
7th
aug
7th
aug2
7th
dim
8ve
per
8ve
aug
8ve
aug2
8ve
aug3
8ve
min
2nd
maj
2nd
aug
2nd
aug2
2nd
aug3
2nd
dim
3rd
min
3rd
maj
3rd
aug
3rd
aug2
3rd
dim
4th
per
4th
aug
4th
aug2
4th
aug3
4th
dim2
5th
dim
5th
per
5th
aug
5th
aug2
5th
dim
6th
min
6th
maj
6th
aug
6th
aug2
6th
dim2
7th
dim
7th
min
7th
maj
7th
aug
7th
dim2
8ve
dim
8ve
per
8ve
aug
8ve
aug2
8ve
dim
2nd
min
2nd
maj
2nd
aug
2nd
aug2
2nd
dim2
3rd
dim
3rd
min
3rd
maj
3rd
aug
3rd
dim2
4th
dim
4th
per
4th
aug
4th
aug2
4th
dim3
5th
dim2
5th
dim
5th
per
5th
aug
5th
dim2
6th
dim
6th
min
6th
maj
6th
aug
6th
dim3
7th
dim2
7th
dim
7th
min
7th
maj
7th
dim3
8ve
dim2
8ve
dim
8ve
per
8ve
aug
8ve
dim2
2nd
dim
2nd
min
2nd
maj
2nd
aug
2nd
dim3
3rd
dim2
3rd
dim
3rd
min
3rd
maj
3rd
dim3
4th
dim2
4th
dim
4th
per
4th
aug
4th
♯ ♯ dim4
5th
dim3
5th
dim2
5th
dim
5th
per
5th
dim3
6th
dim2
6th
dim
6th
min
6th
maj
6th
dim4
7th
dim3
7th
dim2
7th
dim
7th
min
7th
dim4
8ve
dim3
8ve
dim2
8ve
dim
8ve
per
8ve
dim3
2nd
dim2
2nd
dim
2nd
min
2nd
maj
2nd
dim4
3rd
dim3
3rd
dim2
3rd
dim
3rd
min
3rd
dim4
4th
dim3
4th
dim2
4th
dim
4th
per
4th
♯ ♯
 E  ♭♭ per
4th
aug
4th
aug2
4th
aug3
4th
aug4
4th
per
5th
aug
5th
aug2
5th
aug3
5th
aug4
5th
min
6th
maj
6th
aug
6th
aug2
6th
aug3
6th
min
7th
maj
7th
aug
7th
aug2
7th
aug3
7th
per
8ve
aug
8ve
aug2
8ve
aug3
8ve
aug4
8ve
min
2nd
maj
2nd
aug
2nd
aug2
2nd
aug3
2nd
min
3rd
maj
3rd
aug
3rd
aug2
3rd
aug3
3rd
♭♭  E 
dim
4th
per
4th
aug
4th
aug2
4th
aug3
4th
dim
5th
per
5th
aug
5th
aug2
5th
aug3
5th
dim
6th
min
6th
maj
6th
aug
6th
aug2
6th
dim
7th
min
7th
maj
7th
aug
7th
aug2
7th
dim
8ve
per
8ve
aug
8ve
aug2
8ve
aug3
8ve
dim
2nd
min
2nd
maj
2nd
aug
2nd
aug2
2nd
dim
3rd
min
3rd
maj
3rd
aug
3rd
aug2
3rd
dim2
4th
dim
4th
per
4th
aug
4th
aug2
4th
dim2
5th
dim
5th
per
5th
aug
5th
aug2
5th
dim2
6th
dim
6th
min
6th
maj
6th
aug
6th
dim2
7th
dim
7th
min
7th
maj
7th
aug
7th
dim2
8ve
dim
8ve
per
8ve
aug
8ve
aug2
8ve
dim2
2nd
dim
2nd
min
2nd
maj
2nd
aug
2nd
dim2
3rd
dim
3rd
min
3rd
maj
3rd
aug
3rd
dim3
4th
dim2
4th
dim
4th
per
4th
aug
4th
dim3
5th
dim2
5th
dim
5th
per
5th
aug
5th
dim3
6th
dim2
6th
dim
6th
min
6th
maj
6th
dim3
7th
dim2
7th
dim
7th
min
7th
maj
7th
dim3
8ve
dim2
8ve
dim
8ve
per
8ve
aug
8ve
dim3
2nd
dim2
2nd
dim
2nd
min
2nd
maj
2nd
dim3
3rd
dim2
3rd
dim
3rd
min
3rd
maj
3rd
♯ ♯ dim4
4th
dim3
4th
dim2
4th
dim
4th
per
4th
dim4
5th
dim3
5th
dim2
5th
dim
5th
per
5th
dim4
6th
dim3
6th
dim2
6th
dim
6th
min
6th
dim4
7th
dim3
7th
dim2
7th
dim
7th
min
7th
dim4
8ve
dim3
8ve
dim2
8ve
dim
8ve
per
8ve
dim4
2nd
dim3
2nd
dim2
2nd
dim
2nd
min
2nd
dim4
3rd
dim3
3rd
dim2
3rd
dim
3rd
min
3rd
♯ ♯
 F  ♭♭ maj
3rd
aug
3rd
aug2
3rd
aug3
3rd
aug4
3rd
aug
4th
aug2
4th
aug3
4th
aug4
4th
aug5
4th
per
5th
aug
5th
aug2
5th
aug3
5th
aug4
5th
maj
6th
aug
6th
aug2
6th
aug3
6th
aug4
6th
maj
7th
aug
7th
aug2
7th
aug3
7th
aug4
7th
per
8ve
aug
8ve
aug2
8ve
aug3
8ve
aug4
8ve
maj
2nd
aug
2nd
aug2
2nd
aug3
2nd
aug4
2nd
♭♭  F 
min
3rd
maj
3rd
aug
3rd
aug2
3rd
aug3
3rd
per
4th
aug
4th
aug2
4th
aug3
4th
aug4
4th
dim
5th
per
5th
aug
5th
aug2
5th
aug3
5th
min
6th
maj
6th
aug
6th
aug2
6th
aug3
6th
min
7th
maj
7th
aug
7th
aug2
7th
aug3
7th
dim
8ve
per
8ve
aug
8ve
aug2
8ve
aug3
8ve
min
2nd
maj
2nd
aug
2nd
aug2
2nd
aug3
2nd
dim
3rd
min
3rd
maj
3rd
aug
3rd
aug2
3rd
dim
4th
per
4th
aug
4th
aug2
4th
aug3
4th
dim2
5th
dim
5th
per
5th
aug
5th
aug2
5th
dim
6th
min
6th
maj
6th
aug
6th
aug2
6th
dim
7th
min
7th
maj
7th
aug
7th
aug2
7th
dim2
8ve
dim
8ve
per
8ve
aug
8ve
aug2
8ve
dim
2nd
min
2nd
maj
2nd
aug
2nd
aug2
2nd
dim2
3rd
dim
3rd
min
3rd
maj
3rd
aug
3rd
dim2
4th
dim
4th
per
4th
aug
4th
aug2
4th
dim3
5th
dim2
5th
dim
5th
per
5th
aug
5th
dim2
6th
dim
6th
min
6th
maj
6th
aug
6th
dim2
7th
dim
7th
min
7th
maj
7th
aug
7th
dim3
8ve
dim2
8ve
dim
8ve
per
8ve
aug
8ve
dim2
2nd
dim
2nd
min
2nd
maj
2nd
aug
2nd
♯ ♯ dim3
3rd
dim2
3rd
dim
3rd
min
3rd
maj
3rd
dim3
4th
dim2
4th
dim
4th
per
4th
aug
4th
dim4
5th
dim3
5th
dim2
5th
dim
5th
per
5th
dim3
6th
dim2
6th
dim
6th
min
6th
maj
6th
dim3
7th
dim2
7th
dim
7th
min
7th
maj
7th
dim4
8ve
dim3
8ve
dim2
8ve
dim
8ve
per
8ve
dim3
2nd
dim2
2nd
dim
2nd
min
2nd
maj
2nd
♯ ♯
 G  ♭♭ maj
2nd
aug
2nd
aug2
2nd
aug3
2nd
aug4
2nd
maj
3rd
aug
3rd
aug2
3rd
aug3
3rd
aug4
3rd
per
4th
aug
4th
aug2
4th
aug3
4th
aug4
4th
per
5th
aug
5th
aug2
5th
aug3
5th
aug4
5th
maj
6th
aug
6th
aug2
6th
aug3
6th
aug4
6th
min
7th
maj
7th
aug
7th
aug2
7th
aug3
7th
per
8ve
aug
8ve
aug2
8ve
aug3
8ve
aug4
8ve
♭♭  G 
min
2nd
maj
2nd
aug
2nd
aug2
2nd
aug3
2nd
min
3rd
maj
3rd
aug
3rd
aug2
3rd
aug3
3rd
dim
4th
per
4th
aug
4th
aug2
4th
aug3
4th
dim
5th
per
5th
aug
5th
aug2
5th
aug3
5th
min
6th
maj
6th
aug
6th
aug2
6th
aug3
6th
dim
7th
min
7th
maj
7th
aug
7th
aug2
7th
dim
8ve
per
8ve
aug
8ve
aug2
8ve
aug3
8ve
dim
2nd
min
2nd
maj
2nd
aug
2nd
aug2
2nd
dim
3rd
min
3rd
maj
3rd
aug
3rd
aug2
3rd
dim2
4th
dim
4th
per
4th
aug
4th
aug2
4th
dim2
5th
dim
5th
per
5th
aug
5th
aug2
5th
dim
6th
min
6th
maj
6th
aug
6th
aug2
6th
dim2
7th
dim
7th
min
7th
maj
7th
aug
7th
dim2
8ve
dim
8ve
per
8ve
aug
8ve
aug2
8ve
dim2
2nd
dim
2nd
min
2nd
maj
2nd
aug
2nd
dim2
3rd
dim
3rd
min
3rd
maj
3rd
aug
3rd
dim3
4th
dim2
4th
dim
4th
per
4th
aug
4th
dim3
5th
dim2
5th
dim
5th
per
5th
aug
5th
dim2
6th
dim
6th
min
6th
maj
6th
aug
6th
dim3
7th
dim2
7th
dim
7th
min
7th
maj
7th
dim3
8ve
dim2
8ve
dim
8ve
per
8ve
aug
8ve
♯ ♯ dim3
2nd
dim2
2nd
dim
2nd
min
2nd
maj
2nd
dim3
3rd
dim2
3rd
dim
3rd
min
3rd
maj
3rd
dim4
4th
dim3
4th
dim2
4th
dim
4th
per
4th
dim4
5th
dim3
5th
dim2
5th
dim
5th
per
5th
dim3
6th
dim2
6th
dim
6th
min
6th
maj
6th
dim4
7th
dim3
7th
dim2
7th
dim
7th
min
7th
dim4
8ve
dim3
8ve
dim2
8ve
dim
8ve
per
8ve
♯ ♯
♭♭♯ ♯ ♭♭♯ ♯ ♭♭♯ ♯ ♭♭♯ ♯ ♭♭♯ ♯ ♭♭♯ ♯ ♭♭♯ ♯
A B C D E F G
upper note
of interval