Ref: Intervals

Revision as of 18:24, 5 March 2015 by Meambobbo (talk | contribs)

Revision as of 18:24, 5 March 2015 by Meambobbo (talk | contribs)

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 Just Intonation Cents 12-TET Cents Difference
m2 16:15 = 1.0666... 1.05946 111.73 100 -11.73
M2 9:8 = 1.125 1.1224555 203.91 200 -3.91
m3 6:5 = 1.2 1.1891967 315.64 300 -15.64
M3 5:4 = 1.25 1.2599063 386.31 400 +13.69
P4 4:3 = 1.333... 1.3348204 498.04 500 +1.96
tt 7:5 = 1.4 1.4141888 582.51 600 +17.49
P5 3:2 = 1.5 1.4982764 701.96 700 -1.96
m6 8:5 = 1.6 1.5873640 813.69 800 -13.69
M6 5:3 = 1.666... 1.6817486 884.36 900 +15.64
m7 16:9 = 1.777... 1.7817454 996.09 1,000 +3.91
M7 15:8 = 1.875 1.8876880 1088.27 1,100 +11.73