Difference between revisions of "Ref: Intervals"
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=== All Intervals === | === All Intervals === | ||
| − | |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| | + | |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-| | + | |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| | + | |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| | + | |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| |
{{top}} | {{top}} | ||
Revision as of 23:37, 22 March 2015
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 |
Contents
Minor 2nd
|-|-|-|-|-|-|-|-|-|x|o|-|-|-|-|-|-|-|-| |-|-|-|o|-|-|-|-|-|-|-|-|-|-|x|o|-|-|-| |-|-|-|-|-|-|x|o|-|-|-|-|-|-|-|-|-|-|-| |o|-|-|-|-|-|-|-|-|-|-|x|o|-|-|-|-|-|-| |-|-|-|-|x|o|-|-|-|-|-|-|-|-|-|-|-|o|-| |-|-|-|-|-|-|-|-|-|x|o|-|-|-|-|-|-|-|-|
Major 2nd
|-|-|-|-|-|-|-|-|-|x|-|o|-|-|-|-|-|-|-| |-|-|-|-|o|-|-|-|-|-|-|-|-|-|x|-|o|-|-| |-|-|-|-|-|-|x|-|o|-|-|-|-|-|-|-|-|-|-| |-|o|-|-|-|-|-|-|-|-|-|x|-|o|-|-|-|-|-| |-|-|-|-|x|-|o|-|-|-|-|-|-|-|-|-|-|-|o| |-|-|-|-|-|-|-|-|-|x|-|o|-|-|-|-|-|-|-|
Minor 3rd
|o|-|-|-|-|-|-|-|-|x|-|-|o|-|-|-|-|-|-| |-|-|-|-|-|o|-|-|-|-|-|-|-|-|x|-|-|o|-| |-|-|-|-|-|-|x|-|-|o|-|-|-|-|-|-|-|-|-| |-|-|o|-|-|-|-|-|-|-|-|x|-|-|o|-|-|-|-| |-|-|-|-|x|-|-|o|-|-|-|-|-|-|-|-|-|-|-| |o|-|-|-|-|-|-|-|-|x|-|-|o|-|-|-|-|-|-|
Major 3rd
|-|o|-|-|-|-|-|-|-|x|-|-|-|o|-|-|-|-|-| |-|-|-|-|-|-|o|-|-|-|-|-|-|-|x|-|-|-|o| |-|-|-|-|-|-|x|-|-|-|o|-|-|-|-|-|-|-|-| |-|-|-|o|-|-|-|-|-|-|-|x|-|-|-|o|-|-|-| |-|-|-|-|x|-|-|-|o|-|-|-|-|-|-|-|-|-|-| |-|o|-|-|-|-|-|-|-|x|-|-|-|o|-|-|-|-|-|
Perfect 4th
|-|-|o|-|-|-|-|-|-|x|-|-|-|-|o|-|-|-|-| |-|-|-|-|-|-|-|o|-|-|-|-|-|-|x|-|-|-|-| |-|-|-|-|-|-|x|-|-|-|-|o|-|-|-|-|-|-|-| |-|-|-|-|o|-|-|-|-|-|-|x|-|-|-|-|o|-|-| |-|-|-|-|x|-|-|-|-|o|-|-|-|-|-|-|-|-|-| |-|-|o|-|-|-|-|-|-|x|-|-|-|-|o|-|-|-|-|
Tritone
|-|-|-|o|-|-|-|-|-|x|-|-|-|-|-|o|-|-|-| |-|-|-|-|-|-|-|-|o|-|-|-|-|-|x|-|-|-|-| |o|-|-|-|-|-|x|-|-|-|-|-|o|-|-|-|-|-|-| |-|-|-|-|-|o|-|-|-|-|-|x|-|-|-|-|-|o|-| |-|-|-|-|x|-|-|-|-|-|o|-|-|-|-|-|-|-|-| |-|-|-|o|-|-|-|-|-|x|-|-|-|-|-|o|-|-|-|
Perfect 5th
|-|-|-|-|o|-|-|-|-|x|-|-|-|-|-|-|o|-|-| |-|-|-|-|-|-|-|-|-|o|-|-|-|-|x|-|-|-|-| |-|o|-|-|-|-|x|-|-|-|-|-|-|o|-|-|-|-|-| |-|-|-|-|-|-|o|-|-|-|-|x|-|-|-|-|-|-|o| |-|-|-|-|x|-|-|-|-|-|-|o|-|-|-|-|-|-|-| |-|-|-|-|o|-|-|-|-|x|-|-|-|-|-|-|o|-|-|
Minor 6th
|-|-|-|-|-|o|-|-|-|x|-|-|-|-|-|-|-|o|-| |-|-|-|-|-|-|-|-|-|-|o|-|-|-|x|-|-|-|-| |-|-|o|-|-|-|x|-|-|-|-|-|-|-|o|-|-|-|-| |-|-|-|-|-|-|-|o|-|-|-|x|-|-|-|-|-|-|-| |o|-|-|-|x|-|-|-|-|-|-|-|o|-|-|-|-|-|-| |-|-|-|-|-|o|-|-|-|x|-|-|-|-|-|-|-|o|-|
Major 6th
|-|-|-|-|-|-|o|-|-|x|-|-|-|-|-|-|-|-|o| |-|-|-|-|-|-|-|-|-|-|-|o|-|-|x|-|-|-|-| |-|-|-|o|-|-|x|-|-|-|-|-|-|-|-|o|-|-|-| |-|-|-|-|-|-|-|-|o|-|-|x|-|-|-|-|-|-|-| |-|o|-|-|x|-|-|-|-|-|-|-|-|o|-|-|-|-|-| |-|-|-|-|-|-|o|-|-|x|-|-|-|-|-|-|-|-|o|
Minor 7th
|-|-|-|-|-|-|-|o|-|x|-|-|-|-|-|-|-|-|-| |o|-|-|-|-|-|-|-|-|-|-|-|o|-|x|-|-|-|-| |-|-|-|-|o|-|x|-|-|-|-|-|-|-|-|-|o|-|-| |-|-|-|-|-|-|-|-|-|o|-|x|-|-|-|-|-|-|-| |-|-|o|-|x|-|-|-|-|-|-|-|-|-|o|-|-|-|-| |-|-|-|-|-|-|-|o|-|x|-|-|-|-|-|-|-|-|-|
Major 7th
|-|-|-|-|-|-|-|-|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|