Difference between revisions of "Ref: Intervals"

Revision as of 23:14, 22 March 2015

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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.

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

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

|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|

Top

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

@@ Line 61: / Line 61: @@
 |}
-{|class="wikitable"
+=== m2 ===
-! Interval !! Scale Map
+{{Crumbs|blue|1
-|-
+| m2|m2
-| m2
+| M2|M2
-|
+| m3|m3
+| M3|M3
+| P4|P4
+| tt|tt
+| P5|P5
+| m6|m6
+| M6|M6
+| m7|m7
+| M7|M7
+}}
 <pre>
 |-|-|-|-|-|-|-|-|-|x|o|-|-|-|-|-|-|-|-|
@@ Line 74: / Line 84: @@
 |-|-|-|-|-|-|-|-|-|x|o|-|-|-|-|-|-|-|-|
 </pre>
-|-
-| M2
+=== M2 ===
-|
+{{Crumbs|blue|2
+| m2|m2
+| M2|M2
+| m3|m3
+| M3|M3
+| P4|P4
+| tt|tt
+| P5|P5
+| m6|m6
+| M6|M6
+| m7|m7
+| M7|M7
+}}
 <pre>
 |-|-|-|-|-|-|-|-|-|x|-|o|-|-|-|-|-|-|-|
@@ Line 85: / Line 108: @@
 |-|-|-|-|-|-|-|-|-|x|-|o|-|-|-|-|-|-|-|
 </pre>
-|-
-| m3
+=== m3 ===
-|
+{{Crumbs|blue|3
+| m2|m2
+| M2|M2
+| m3|m3
+| M3|M3
+| P4|P4
+| tt|tt
+| P5|P5
+| m6|m6
+| M6|M6
+| m7|m7
+| M7|M7
+}}
 <pre>
 |o|-|-|-|-|-|-|-|-|x|-|-|o|-|-|-|-|-|-|
@@ Line 96: / Line 132: @@
 |o|-|-|-|-|-|-|-|-|x|-|-|o|-|-|-|-|-|-|
 </pre>
-|-
-| M3
+=== M3 ===
-|
+{{Crumbs|blue|4
+| m2|m2
+| M2|M2
+| m3|m3
+| M3|M3
+| P4|P4
+| tt|tt
+| P5|P5
+| m6|m6
+| M6|M6
+| m7|m7
+| M7|M7
+}}
 <pre>
 |-|o|-|-|-|-|-|-|-|x|-|-|-|o|-|-|-|-|-|
@@ Line 107: / Line 156: @@
 |-|o|-|-|-|-|-|-|-|x|-|-|-|o|-|-|-|-|-|
 </pre>
-|-
-| P4
+=== P4 ===
-|
+{{Crumbs|blue|5
+| m2|m2
+| M2|M2
+| m3|m3
+| M3|M3
+| P4|P4
+| tt|tt
+| P5|P5
+| m6|m6
+| M6|M6
+| m7|m7
+| M7|M7
+}}
 <pre>
 |-|-|o|-|-|-|-|-|-|x|-|-|-|-|o|-|-|-|-|
@@ Line 118: / Line 180: @@
 |-|-|o|-|-|-|-|-|-|x|-|-|-|-|o|-|-|-|-|
 </pre>
-|-
-| tt/d5/A4
+=== tt ===
-|
+{{Crumbs|blue|6
+| m2|m2
+| M2|M2
+| m3|m3
+| M3|M3
+| P4|P4
+| tt|tt
+| P5|P5
+| m6|m6
+| M6|M6
+| m7|m7
+| M7|M7
+}}
 <pre>
 |-|-|-|o|-|-|-|-|-|x|-|-|-|-|-|o|-|-|-|
@@ Line 129: / Line 204: @@
 |-|-|-|o|-|-|-|-|-|x|-|-|-|-|-|o|-|-|-|
 </pre>
-|-
-| P5
+=== P5 ===
-|
+{{Crumbs|blue|7
+| m2|m2
+| M2|M2
+| m3|m3
+| M3|M3
+| P4|P4
+| tt|tt
+| P5|P5
+| m6|m6
+| M6|M6
+| m7|m7
+| M7|M7
+}}
 <pre>
 |-|-|-|-|o|-|-|-|-|x|-|-|-|-|-|-|o|-|-|
@@ Line 140: / Line 228: @@
 |-|-|-|-|o|-|-|-|-|x|-|-|-|-|-|-|o|-|-|
 </pre>
-|-
-| m6
+=== m6 ===
-|
+{{Crumbs|blue|8
+| m2|m2
+| M2|M2
+| m3|m3
+| M3|M3
+| P4|P4
+| tt|tt
+| P5|P5
+| m6|m6
+| M6|M6
+| m7|m7
+| M7|M7
+}}
 <pre>
 |-|-|-|-|-|o|-|-|-|x|-|-|-|-|-|-|-|o|-|
@@ Line 151: / Line 252: @@
 |-|-|-|-|-|o|-|-|-|x|-|-|-|-|-|-|-|o|-|
 </pre>
-|-
-| M6
+=== M6 ===
-|
+{{Crumbs|blue|9
+| m2|m2
+| M2|M2
+| m3|m3
+| M3|M3
+| P4|P4
+| tt|tt
+| P5|P5
+| m6|m6
+| M6|M6
+| m7|m7
+| M7|M7
+}}
 <pre>
 |-|-|-|-|-|-|o|-|-|x|-|-|-|-|-|-|-|-|o|
@@ Line 162: / Line 276: @@
 |-|-|-|-|-|-|o|-|-|x|-|-|-|-|-|-|-|-|o|
 </pre>
-|-
-| m7
+=== m7 ===
-|
+{{Crumbs|blue|10
+| m2|m2
+| M2|M2
+| m3|m3
+| M3|M3
+| P4|P4
+| tt|tt
+| P5|P5
+| m6|m6
+| M6|M6
+| m7|m7
+| M7|M7
+}}
 <pre>
 |-|-|-|-|-|-|-|o|-|x|-|-|-|-|-|-|-|-|-|
@@ Line 173: / Line 300: @@
 |-|-|-|-|-|-|-|o|-|x|-|-|-|-|-|-|-|-|-|
 </pre>
-|-
-| M7
+=== M7 ===
-|
+{{Crumbs|blue|11
+| m2|m2
+| M2|M2
+| m3|m3
+| M3|M3
+| P4|P4
+| tt|tt
+| P5|P5
+| m6|m6
+| M6|M6
+| m7|m7
+| M7|M7
+}}
 <pre>
 |-|-|-|-|-|-|-|-|o|x|-|-|-|-|-|-|-|-|-|

Difference between revisions of "Ref: Intervals"

Revision as of 23:14, 22 March 2015

Contents

m2

M2

m3

M3

P4

tt

P5

m6

M6

m7

M7