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	7:5	7
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	16:9	16
C	B	11	M7	Major 7th	15:8	15
C	C	12	U	Unison or Octave	2:1	2

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	G♭	6	A4, d5, tt	Augmented 4th/ Diminished 5th/ Tritone	7:5	7
C	A♭	8	m6	Minor 6th	8:5	8
C	D	2	M2	(Major) 2nd	9:8	9
C	B	11	M7	Major 7th	15:8	15
C	D♭	1	m2	Minor 2nd	16:15	16
C	B♭	10	m7	Minor 7th	16:9	16

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	-0.22618	203.91	200	-3.91
m3	6:5 = 1.2	1.18920	-0.90028	315.64	300	-15.64
M3	5:4 = 1.25	1.25991	0.79250	386.31	400	+13.69
P4	4:3 = 1.333...	1.33482	0.11153	498.04	500	+1.96
tt	7:5 = 1.4	1.41419	1.01349	582.51	600	+17.49
P5	3:2 = 1.5	1.49828	-0.11491	701.96	700	-1.96
m6	8:5 = 1.6	1.58736	-0.78975	813.69	800	-13.69
M6	5:3 = 1.666...	1.68175	0.90492	884.36	900	+15.64
m7	16:9 = 1.777...	1.78175	0.22318	996.09	1,000	+3.91
M7	15:8 = 1.875	1.88769	0.67669	1088.27	1,100	+11.73

Minor 2nd

m2 M2 m3 M3 P4 tt P5 m6 M6 m7 M7

Inversion of M7

* |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

Inversion of m7

* |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

Inversion of M6

* |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

Inversion of m6

* |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

Inversion of P5

* |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

Inversion of itself

* |-|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

Inversion of P4

* |-|-|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

Inversion of M3

* |-|-|-|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

Inversion of m3

* |-|-|-|-|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

Inversion of M2

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

Inversion of m2

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

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