Difference between revisions of "Ref: Intervals"
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| − | |-|-|-|x|-|-|o|-|-|-|-|-| | + | |-|-|-|-|-|-|x|-|-|o|-|-|-|-|-|-|-|-|-| |
| − | |-|-|-|-|-|-|-|-|x|-|-|o| | + | |-|-|o|-|-|-|-|-|-|-|-|x|-|-|o|-|-|-|-| |
| − | |-|x|-|-|o|-|-|-|-|-|-|-| | + | |-|-|-|-|x|-|-|o|-|-|-|-|-|-|-|-|-|-|-| |
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| − | |-|-|-|x|-|-|-|-|o|-|-|-| | + | |-|-|-|-|-|-|x|-|-|-|-|o|-|-|-|-|-|-|-| |
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| − | |-|-|-|x|-|-|-|-|-|o|-|-| | + | |o|-|-|-|-|-|x|-|-|-|-|-|o|-|-|-|-|-|-| |
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| − | |-|-|-|x|-|-|-|-|-|-|o|-| | + | |-|o|-|-|-|-|x|-|-|-|-|-|-|o|-|-|-|-|-| |
| − | |-|-|-|o|-|-|-|-|x|-|-|-| | + | |-|-|-|-|-|-|o|-|-|-|-|x|-|-|-|-|-|-|o| |
| − | |-|x|-|-|-|-|-|-|o|-|-|-| | + | |-|-|-|-|x|-|-|-|-|-|-|o|-|-|-|-|-|-|-| |
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| − | |-|-|-|x|-|-|-|-|-|-|-|o| | + | |-|-|o|-|-|-|x|-|-|-|-|-|-|-|o|-|-|-|-| |
| − | |-|-|-|-|o|-|-|-|x|-|-|-| | + | |-|-|-|-|-|-|-|o|-|-|-|x|-|-|-|-|-|-|-| |
| − | |-|x|-|-|-|-|-|-|-|o|-|-| | + | |o|-|-|-|x|-|-|-|-|-|-|-|o|-|-|-|-|-|-| |
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| − | |o|-|-|x|-|-|-|-|-|-|-|-| | + | |-|-|-|o|-|-|x|-|-|-|-|-|-|-|-|o|-|-|-| |
| − | |-|-|-|-|-|o|-|-|x|-|-|-| | + | |-|-|-|-|-|-|-|-|o|-|-|x|-|-|-|-|-|-|-| |
| − | |-|x|-|-|-|-|-|-|-|-|o|-| | + | |-|o|-|-|x|-|-|-|-|-|-|-|-|o|-|-|-|-|-| |
| − | |-|-|-|o|-|-|x|-|-|-|-|-| | + | |-|-|-|-|-|-|o|-|-|x|-|-|-|-|-|-|-|-|o| |
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| − | |-|-|-|-|-|-|-|-|-|o|-|x| | + | |o|-|-|-|-|-|-|-|-|-|-|-|o|-|x|-|-|-|-| |
| − | |-|o|-|x|-|-|-|-|-|-|-|-| | + | |-|-|-|-|o|-|x|-|-|-|-|-|-|-|-|-|o|-|-| |
| − | |-|-|-|-|-|-|o|-|x|-|-|-| | + | |-|-|-|-|-|-|-|-|-|o|-|x|-|-|-|-|-|-|-| |
| − | |-|x|-|-|-|-|-|-|-|-|-|o| | + | |-|-|o|-|x|-|-|-|-|-|-|-|-|-|o|-|-|-|-| |
| − | |-|-|-|-|o|-|x|-|-|-|-|-| | + | |-|-|-|-|-|-|-|o|-|x|-|-|-|-|-|-|-|-|-| |
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| − | |-|-|-|-|-|-|-|-|-|-|o|x| | + | |-|o|-|-|-|-|-|-|-|-|-|-|-|o|x|-|-|-|-| |
| − | |-|-|o|x|-|-|-|-|-|-|-|-| | + | |-|-|-|-|-|o|x|-|-|-|-|-|-|-|-|-|-|o|-| |
| − | |-|-|-|-|-|-|-|o|x|-|-|-| | + | |-|-|-|-|-|-|-|-|-|-|o|x|-|-|-|-|-|-|-| |
| − | |o|x|-|-|-|-|-|-|-|-|-|-| | + | |-|-|-|o|x|-|-|-|-|-|-|-|-|-|-|o|-|-|-| |
| − | |-|-|-|-|-|o|x|-|-|-|-|-| | + | |-|-|-|-|-|-|-|-|o|x|-|-|-|-|-|-|-|-|-| |
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<pre> | <pre> | ||
| − | + | |m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6| | |
| − | |tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4| | + | |m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3| |
| − | |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-| |
| − | |M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6| | + | |m2|M2|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5| |
| − | |M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3| | + | |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| |
| − | |tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4| | ||
</pre> | </pre> | ||
Revision as of 22:36, 22 March 2015
| 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 |
| Interval | Scale Map |
|---|---|
| m2 |
|-|-|-|-|-|-|-|-|-|x|o|-|-|-|-|-|-|-|-| |-|-|-|o|-|-|-|-|-|-|-|-|-|-|x|o|-|-|-| |-|-|-|-|-|-|x|o|-|-|-|-|-|-|-|-|-|-|-| |o|-|-|-|-|-|-|-|-|-|-|x|o|-|-|-|-|-|-| |-|-|-|-|x|o|-|-|-|-|-|-|-|-|-|-|-|o|-| |-|-|-|-|-|-|-|-|-|x|o|-|-|-|-|-|-|-|-| |
| M2 |
|-|-|-|-|-|-|-|-|-|x|-|o|-|-|-|-|-|-|-| |-|-|-|-|o|-|-|-|-|-|-|-|-|-|x|-|o|-|-| |-|-|-|-|-|-|x|-|o|-|-|-|-|-|-|-|-|-|-| |-|o|-|-|-|-|-|-|-|-|-|x|-|o|-|-|-|-|-| |-|-|-|-|x|-|o|-|-|-|-|-|-|-|-|-|-|-|o| |-|-|-|-|-|-|-|-|-|x|-|o|-|-|-|-|-|-|-| |
| m3 |
|o|-|-|-|-|-|-|-|-|x|-|-|o|-|-|-|-|-|-| |-|-|-|-|-|o|-|-|-|-|-|-|-|-|x|-|-|o|-| |-|-|-|-|-|-|x|-|-|o|-|-|-|-|-|-|-|-|-| |-|-|o|-|-|-|-|-|-|-|-|x|-|-|o|-|-|-|-| |-|-|-|-|x|-|-|o|-|-|-|-|-|-|-|-|-|-|-| |o|-|-|-|-|-|-|-|-|x|-|-|o|-|-|-|-|-|-| |
| M3 |
|-|o|-|-|-|-|-|-|-|x|-|-|-|o|-|-|-|-|-| |-|-|-|-|-|-|o|-|-|-|-|-|-|-|x|-|-|-|o| |-|-|-|-|-|-|x|-|-|-|o|-|-|-|-|-|-|-|-| |-|-|-|o|-|-|-|-|-|-|-|x|-|-|-|o|-|-|-| |-|-|-|-|x|-|-|-|o|-|-|-|-|-|-|-|-|-|-| |-|o|-|-|-|-|-|-|-|x|-|-|-|o|-|-|-|-|-| |
| P4 |
|-|-|o|-|-|-|-|-|-|x|-|-|-|-|o|-|-|-|-| |-|-|-|-|-|-|-|o|-|-|-|-|-|-|x|-|-|-|-| |-|-|-|-|-|-|x|-|-|-|-|o|-|-|-|-|-|-|-| |-|-|-|-|o|-|-|-|-|-|-|x|-|-|-|-|o|-|-| |-|-|-|-|x|-|-|-|-|o|-|-|-|-|-|-|-|-|-| |-|-|o|-|-|-|-|-|-|x|-|-|-|-|o|-|-|-|-| |
| tt/d5/A4 |
|-|-|-|o|-|-|-|-|-|x|-|-|-|-|-|o|-|-|-| |-|-|-|-|-|-|-|-|o|-|-|-|-|-|x|-|-|-|-| |o|-|-|-|-|-|x|-|-|-|-|-|o|-|-|-|-|-|-| |-|-|-|-|-|o|-|-|-|-|-|x|-|-|-|-|-|o|-| |-|-|-|-|x|-|-|-|-|-|o|-|-|-|-|-|-|-|-| |-|-|-|o|-|-|-|-|-|x|-|-|-|-|-|o|-|-|-| |
| P5 |
|-|-|-|-|o|-|-|-|-|x|-|-|-|-|-|-|o|-|-| |-|-|-|-|-|-|-|-|-|o|-|-|-|-|x|-|-|-|-| |-|o|-|-|-|-|x|-|-|-|-|-|-|o|-|-|-|-|-| |-|-|-|-|-|-|o|-|-|-|-|x|-|-|-|-|-|-|o| |-|-|-|-|x|-|-|-|-|-|-|o|-|-|-|-|-|-|-| |-|-|-|-|o|-|-|-|-|x|-|-|-|-|-|-|o|-|-| |
| m6 |
|-|-|-|-|-|o|-|-|-|x|-|-|-|-|-|-|-|o|-| |-|-|-|-|-|-|-|-|-|-|o|-|-|-|x|-|-|-|-| |-|-|o|-|-|-|x|-|-|-|-|-|-|-|o|-|-|-|-| |-|-|-|-|-|-|-|o|-|-|-|x|-|-|-|-|-|-|-| |o|-|-|-|x|-|-|-|-|-|-|-|o|-|-|-|-|-|-| |-|-|-|-|-|o|-|-|-|x|-|-|-|-|-|-|-|o|-| |
| M6 |
|-|-|-|-|-|-|o|-|-|x|-|-|-|-|-|-|-|-|o| |-|-|-|-|-|-|-|-|-|-|-|o|-|-|x|-|-|-|-| |-|-|-|o|-|-|x|-|-|-|-|-|-|-|-|o|-|-|-| |-|-|-|-|-|-|-|-|o|-|-|x|-|-|-|-|-|-|-| |-|o|-|-|x|-|-|-|-|-|-|-|-|o|-|-|-|-|-| |-|-|-|-|-|-|o|-|-|x|-|-|-|-|-|-|-|-|o| |
| m7 |
|-|-|-|-|-|-|-|o|-|x|-|-|-|-|-|-|-|-|-| |o|-|-|-|-|-|-|-|-|-|-|-|o|-|x|-|-|-|-| |-|-|-|-|o|-|x|-|-|-|-|-|-|-|-|-|o|-|-| |-|-|-|-|-|-|-|-|-|o|-|x|-|-|-|-|-|-|-| |-|-|o|-|x|-|-|-|-|-|-|-|-|-|o|-|-|-|-| |-|-|-|-|-|-|-|o|-|x|-|-|-|-|-|-|-|-|-| |
| M7 |
|-|-|-|-|-|-|-|-|o|x|-|-|-|-|-|-|-|-|-| |-|o|-|-|-|-|-|-|-|-|-|-|-|o|x|-|-|-|-| |-|-|-|-|-|o|x|-|-|-|-|-|-|-|-|-|-|o|-| |-|-|-|-|-|-|-|-|-|-|o|x|-|-|-|-|-|-|-| |-|-|-|o|x|-|-|-|-|-|-|-|-|-|-|o|-|-|-| |-|-|-|-|-|-|-|-|o|x|-|-|-|-|-|-|-|-|-| |
|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|