Ref: Intervals

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Intervals Scales Circle of 5ths Fret Maps CAGED Charts Diatonic Chords Diatonic Keys Chord Fingerings Chord Naming Progressions Modes Counting Rhythm Arpeggios Reading Tab Other Notation Injury

An interval is the "distance" in terms of pitch between two notes. This is usually defined in terms of the number of steps between them in the 12-tone chromatic scale. The actual pitch difference depends on the tuning system used. The two relative pitches also form a ratio that determine how harmonic they are.

Pitches and Ratios

Root Note	Other Note	Semitones from Root to Other	Interval Short Name	Interval Full Name	Just Intonation Ratio	Root Cycles before resync
C	C	0	U	Unison	1:1	1
C	D♭	1	m2	Minor 2nd	16:15	16
C	D	2	M2	(Major) 2nd	9:8	9
C	E♭	3	m3	Minor 3rd	6:5	6
C	E	4	M3	Major 3rd	5:4	5
C	F	5	P4	(Perfect) 4th	4:3	4
C	G♭	6	A4, d5, tt	Augmented 4th/ Diminished 5th/ Tritone	45:32	45
C	G	7	P5	(Perfect) 5th	3:2	3
C	A♭	8	m6	Minor 6th	8:5	8
C	A	9	M6	Major 6th	5:3	5
C	B♭	10	m7	Minor 7th	9:5	9
C	B	11	M7	Major 7th	15:8	15
C	C	12	U	Unison or Octave	2:1	2

Ordered by Most to Least Consonant (Harmonic)
Root Note	Other Note	Semitones from Root to Other	Interval Short Name	Interval Full Name	Just Intonation Ratio	Root Cycles before resync
C	C	0	U	Unison	1:1	1
C	C	12	U	Unison or Octave	2:1	2
C	G	7	P5	(Perfect) 5th	3:2	3
C	F	5	P4	(Perfect) 4th	4:3	4
C	E	4	M3	Major 3rd	5:4	5
C	A	9	M6	Major 6th	5:3	5
C	E♭	3	m3	Minor 3rd	6:5	6
C	A♭	8	m6	Minor 6th	8:5	8
C	D	2	M2	(Major) 2nd	9:8	9
C	B♭	10	m7	Minor 7th	9:5	9
C	B	11	M7	Major 7th	15:8	15
C	D♭	1	m2	Minor 2nd	16:15	16
C	G♭	6	A4, d5, tt	Augmented 4th/ Diminished 5th/ Tritone	45:32	45

Comparing Just Intonation to Equal Temperament
Interval Name	Just Intonation Ratio	Equal Temperament	% Difference	Just Intonation Cents	12-TET Cents	Cent Difference
m2	16:15 = 1.0666...	1.05946	-0.67563	111.73	100	-11.73
M2	9:8 = 1.125	1.12246	-0.22560	203.91	200	-3.91
m3	6:5 = 1.2	1.18921	-0.89941	315.64	300	-15.64
M3	5:4 = 1.25	1.25992	0.79368	386.31	400	+13.69
P4	4:3 = 1.333...	1.33484	0.11299	498.05	500	+1.96
tt	45:32 = 1.40625	1.41421	0.56630	590.22	600	+9.78
P5	3:2 = 1.5	1.49831	-0.11286	701.96	700	-1.96
m6	8:5 = 1.6	1.58740	-0.78743	813.69	800	-13.69
M6	5:3 = 1.666...	1.68179	0.90757	884.36	900	+15.64
m7	9:5 = 1.8	1.78180	-1.01125	1017.60	1,000	-17.60
M7	15:8 = 1.875	1.88775	0.67993	1088.27	1,100	+11.73

Minor 2nd

m2 M2 m3 M3 P4 tt P5 m6 M6 m7 M7

Semitones	Inversion	Just Intonation Ratio	Equal Temperament	JI Cents	ET Cents
1	M7	16:15 = 1.0666...	1.05946	111.73	100

* |i|-|-|-|-|
* |-|-|-|-|p|

* all but G-B

B |i|-|-|-|
G |-|-|-|p|

D/G |-|-|-|p|
A/D |-|-|-|-|
E/A |i|-|-|-|

B/E |-|-|-|-|p|
G/B |-|-|-|-|-|
D/G |i|-|-|-|-|

G |i|-|-|
D |-|-|-|
A |-|-|-|
E |-|-|r|

B/E |i|-|
G/B |-|-|
D/G |-|-|
A/D |-|m|

|-|-|-|-|-|-|-|-|-|x|o|-|-|-|-|-|-|-|-|
|-|-|-|o|-|-|-|-|-|-|-|-|-|-|x|o|-|-|-|
|-|-|-|-|-|-|x|o|-|-|-|-|-|-|-|-|-|-|-|
|o|-|-|-|-|-|-|-|-|-|-|x|o|-|-|-|-|-|-|
|-|-|-|-|x|o|-|-|-|-|-|-|-|-|-|-|-|o|-|
|-|-|-|-|-|-|-|-|-|x|o|-|-|-|-|-|-|-|-|

Major 2nd

m2 M2 m3 M3 P4 tt P5 m6 M6 m7 M7

Semitones	Inversion	Just Intonation Ratio	Equal Temperament	JI Cents	ET Cents
2	m7	9:8 = 1.125	1.12246	203.91	200

* |i|-|-|-|
* |-|-|-|p|
 
* all but G-B

B |i|-|-|
G |-|-|r|

D/G |-|-|-|-|p|
A/D |-|-|-|-|-|
E/A |i|-|-|-|-|

G/B |i|-|
D/G |-|-|
A/D |-|-|
E/A |-|m|

B/E |i| |m|
G/B |)| |-|
D/G |)| |-|
A/D |i| |i|

|-|-|-|-|-|-|-|-|-|x|-|o|-|-|-|-|-|-|-|
|-|-|-|-|o|-|-|-|-|-|-|-|-|-|x|-|o|-|-|
|-|-|-|-|-|-|x|-|o|-|-|-|-|-|-|-|-|-|-|
|-|o|-|-|-|-|-|-|-|-|-|x|-|o|-|-|-|-|-|
|-|-|-|-|x|-|o|-|-|-|-|-|-|-|-|-|-|-|o|
|-|-|-|-|-|-|-|-|-|x|-|o|-|-|-|-|-|-|-|

Minor 3rd

m2 M2 m3 M3 P4 tt P5 m6 M6 m7 M7

Semitones	Inversion	Just Intonation Ratio	Equal Temperament	JI Cents	ET Cents
3	M6	6:5 = 1.2	1.18920	315.64	300

* |i|-|-|
* |-|-|r|
 
* all but G-B

B |i|-|
G |-|m|

G |i| |m|
D |)| |-|
A |)| |-|
E |i| |i|

B/E |i| |m|
G/B |)| |-|
D/G |)| |-|
A/D |i| |i|

|o|-|-|-|-|-|-|-|-|x|-|-|o|-|-|-|-|-|-|
|-|-|-|-|-|o|-|-|-|-|-|-|-|-|x|-|-|o|-|
|-|-|-|-|-|-|x|-|-|o|-|-|-|-|-|-|-|-|-|
|-|-|o|-|-|-|-|-|-|-|-|x|-|-|o|-|-|-|-|
|-|-|-|-|x|-|-|o|-|-|-|-|-|-|-|-|-|-|-|
|o|-|-|-|-|-|-|-|-|x|-|-|o|-|-|-|-|-|-|

Major 3rd

m2 M2 m3 M3 P4 tt P5 m6 M6 m7 M7

Semitones	Inversion	Just Intonation Ratio	Equal Temperament	JI Cents	ET Cents
4	m6	5:4 = 1.25	1.25991	386.31	400

* |i|-|
* |-|m|
 
* all but G-B

B |i| |r|
G |i| |m|

G |-|m|
D |-|-|
A |-|-|
E |i|-|

B/E |-|-|r|
G/B |-|-|-|
D/G |-|-|-|
A/D |i|-|-|

|-|o|-|-|-|-|-|-|-|x|-|-|-|o|-|-|-|-|-|
|-|-|-|-|-|-|o|-|-|-|-|-|-|-|x|-|-|-|o|
|-|-|-|-|-|-|x|-|-|-|o|-|-|-|-|-|-|-|-|
|-|-|-|o|-|-|-|-|-|-|-|x|-|-|-|o|-|-|-|
|-|-|-|-|x|-|-|-|o|-|-|-|-|-|-|-|-|-|-|
|-|o|-|-|-|-|-|-|-|x|-|-|-|o|-|-|-|-|-|

Perfect 4th

m2 M2 m3 M3 P4 tt P5 m6 M6 m7 M7

Semitones	Inversion	Just Intonation Ratio	Equal Temperament	JI Cents	ET Cents
5	P5	4:3 = 1.333...	1.33484	498.05	500

* |i|
* |i|

 
* all but G-B

B |-|m|
G |i|-|

G |-|-|r|
D |-|-|-|
A |-|-|-|
E |i|-|-|

B/E |-|-|-|p|
G/B |-|-|-|-|
D/G |-|-|-|-|
A/D |i|-|-|-|

B/E |i|-|-|
G/B |-|-|-|
D/G |-|-|-|
A/D |-|-|-|
E/A |-|-|r|

|-|-|o|-|-|-|-|-|-|x|-|-|-|-|o|-|-|-|-|
|-|-|-|-|-|-|-|o|-|-|-|-|-|-|x|-|-|-|-|
|-|-|-|-|-|-|x|-|-|-|-|o|-|-|-|-|-|-|-|
|-|-|-|-|o|-|-|-|-|-|-|x|-|-|-|-|o|-|-|
|-|-|-|-|x|-|-|-|-|o|-|-|-|-|-|-|-|-|-|
|-|-|o|-|-|-|-|-|-|x|-|-|-|-|o|-|-|-|-|

Tritone

m2 M2 m3 M3 P4 tt P5 m6 M6 m7 M7

Semitones	Inversion	Just Intonation Ratio	Equal Temperament	JI Cents	ET Cents
6	itself	45:32 = 1.40625	1.41421	590.22	600

* |-|i|
* |i|-|

 
* all but G-B

B |-|-|r|
G |i|-|-|

G |-|-|-|p|
D |-|-|-|-|
A |-|-|-|-|
E |i|-|-|-|

B/E |-|-|-|-|p|
G/B |-|-|-|-|-|
D/G |-|-|-|-|-|
A/D |i|-|-|-|-|

B/E |i|-|
G/B |-|-|
D/G |-|-|
A/D |-|-|
E/A |-|m|

|-|-|-|o|-|-|-|-|-|x|-|-|-|-|-|o|-|-|-|
|-|-|-|-|-|-|-|-|o|-|-|-|-|-|x|-|-|-|-|
|o|-|-|-|-|-|x|-|-|-|-|-|o|-|-|-|-|-|-|
|-|-|-|-|-|o|-|-|-|-|-|x|-|-|-|-|-|o|-|
|-|-|-|-|x|-|-|-|-|-|o|-|-|-|-|-|-|-|-|
|-|-|-|o|-|-|-|-|-|x|-|-|-|-|-|o|-|-|-|

Perfect 5th

m2 M2 m3 M3 P4 tt P5 m6 M6 m7 M7

Semitones	Inversion	Just Intonation Ratio	Equal Temperament	JI Cents	ET Cents
7	P4	3:2 = 1.5	1.49831	701.96	700

* |-|-|r|
* |i|-|-|
 

* all but G-B

B |-|-|-|p|
G |i|-|-|-|

D/G |i|-|-|-|
A/D |-|-|-|-|
E/A |-|-|-|p|

B/E |i|-|-|
G/B |-|-|-|
D/G |-|-|r|

B |i|-|-|-|-|
G |)|-|-|-|p|
D |)|-|-|-|-|
A |)|-|-|-|-|
E |i|-|-|-|-|

E |i| |r|
B |)| |-|
G |)| |-|
D |)| |-|
A |i| |i|

|-|-|-|-|o|-|-|-|-|x|-|-|-|-|-|-|o|-|-|
|-|-|-|-|-|-|-|-|-|o|-|-|-|-|x|-|-|-|-|
|-|o|-|-|-|-|x|-|-|-|-|-|-|o|-|-|-|-|-|
|-|-|-|-|-|-|o|-|-|-|-|x|-|-|-|-|-|-|o|
|-|-|-|-|x|-|-|-|-|-|-|o|-|-|-|-|-|-|-|
|-|-|-|-|o|-|-|-|-|x|-|-|-|-|-|-|o|-|-|

Minor 6th

m2 M2 m3 M3 P4 tt P5 m6 M6 m7 M7

Semitones	Inversion	Just Intonation Ratio	Equal Temperament	JI Cents	ET Cents
8	M3	8:5 = 1.6	1.58740	813.69	800

* |-|-|-|p|
* |i|-|-|-|
 

* all but G-B

B |-|-|-|-|p|
G |i|-|-|-|-|

D/G |i|-|-|
A/D |-|-|-|
E/A |-|-|r|

B/E |i|-|
G/B |-|-|
D/G |-|m|

B/E |-|m|
G/B |-|-|
D/G |-|-|
A/D |-|-|
E/A |i|-|

|-|-|-|-|-|o|-|-|-|x|-|-|-|-|-|-|-|o|-|
|-|-|-|-|-|-|-|-|-|-|o|-|-|-|x|-|-|-|-|
|-|-|o|-|-|-|x|-|-|-|-|-|-|-|o|-|-|-|-|
|-|-|-|-|-|-|-|o|-|-|-|x|-|-|-|-|-|-|-|
|o|-|-|-|x|-|-|-|-|-|-|-|o|-|-|-|-|-|-|
|-|-|-|-|-|o|-|-|-|x|-|-|-|-|-|-|-|o|-|

Major 6th

m2 M2 m3 M3 P4 tt P5 m6 M6 m7 M7

Semitones	Inversion	Just Intonation Ratio	Equal Temperament	JI Cents	ET Cents
9	m3	5:3 = 1.666...	1.68179	884.36	900

* |-|-|-|-|p|
* |i|-|-|-|-|
 


* all but G-B

D/G |i|-|
A/D |-|-|
E/A |-|m|

B/E |i| |m|
G/B |)| |-|
D/G |i| |i|

B/E |-|-|r|
G/B |-|-|-|
D/G |-|-|-|
A/D |-|-|-|
E/A |i|-|-|

E |i|-|-|-|
B |-|-|-|-|
G |-|-|-|-|
D |-|-|-|-|
A |-|-|-|-|
E |-|-|-|p|

|-|-|-|-|-|-|o|-|-|x|-|-|-|-|-|-|-|-|o|
|-|-|-|-|-|-|-|-|-|-|-|o|-|-|x|-|-|-|-|
|-|-|-|o|-|-|x|-|-|-|-|-|-|-|-|o|-|-|-|
|-|-|-|-|-|-|-|-|o|-|-|x|-|-|-|-|-|-|-|
|-|o|-|-|x|-|-|-|-|-|-|-|-|o|-|-|-|-|-|
|-|-|-|-|-|-|o|-|-|x|-|-|-|-|-|-|-|-|o|

Minor 7th

m2 M2 m3 M3 P4 tt P5 m6 M6 m7 M7

Semitones	Inversion	Just Intonation Ratio	Equal Temperament	JI Cents	ET Cents
10	M2	9:5 = 1.80	1.78180	1017.60	1,000

D/G |i|
A/D |)|
E/A |i|

B/E |-|m|
G/B |-|-|
D/G |i|-|

B/E |-|-|-|p|
G/B |-|-|-|-|
D/G |-|-|-|-|
A/D |-|-|-|-|
E/A |i|-|-|-|

E |i|-|-|
B |-|-|-|
G |-|-|-|
D |-|-|-|
A |-|-|-|
E |-|-|r|

|-|-|-|-|-|-|-|o|-|x|-|-|-|-|-|-|-|-|-|
|o|-|-|-|-|-|-|-|-|-|-|-|o|-|x|-|-|-|-|
|-|-|-|-|o|-|x|-|-|-|-|-|-|-|-|-|o|-|-|
|-|-|-|-|-|-|-|-|-|o|-|x|-|-|-|-|-|-|-|
|-|-|o|-|x|-|-|-|-|-|-|-|-|-|o|-|-|-|-|
|-|-|-|-|-|-|-|o|-|x|-|-|-|-|-|-|-|-|-|

Major 7th

m2 M2 m3 M3 P4 tt P5 m6 M6 m7 M7

Semitones	Inversion	Just Intonation Ratio	Equal Temperament	JI Cents	ET Cents
11	m2	15:8 = 1.875	1.88775	1088.27	1,100

D/G |-|m|
A/D |-|-|
E/A |i|-|

B/E |-|-|r|
G/B |-|-|-|
D/G |i|-|-|

B/E |-|-|-|-|p|
G/B |-|-|-|-|-|
D/G |-|-|-|-|-|
A/D |-|-|-|-|-|
E/A |i|-|-|-|-|

E |i|-|
B |-|-|
G |-|-|
D |-|-|
A |-|-|
E |-|m|

|-|-|-|-|-|-|-|-|o|x|-|-|-|-|-|-|-|-|-|
|-|o|-|-|-|-|-|-|-|-|-|-|-|o|x|-|-|-|-|
|-|-|-|-|-|o|x|-|-|-|-|-|-|-|-|-|-|o|-|
|-|-|-|-|-|-|-|-|-|-|o|x|-|-|-|-|-|-|-|
|-|-|-|o|x|-|-|-|-|-|-|-|-|-|-|o|-|-|-|
|-|-|-|-|-|-|-|-|o|x|-|-|-|-|-|-|-|-|-|

All Intervals

|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|
|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|
|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|
|m2|M2|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|
|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|
|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|

|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|
|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|
|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|
|m2|M2|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|
|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|
|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|

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Intervals Scales Circle of 5ths Fret Maps CAGED Charts Diatonic Chords Diatonic Keys Chord Fingerings Chord Naming Progressions Modes Counting Rhythm Arpeggios Reading Tab Other Notation Injury

Ref: Intervals

Contents

Pitches and Ratios

Minor 2nd

Major 2nd

Minor 3rd

Major 3rd

Perfect 4th

Tritone

Perfect 5th

Minor 6th

Major 6th

Minor 7th

Major 7th

All Intervals