Difference between revisions of "Ref: Intervals"
(Created page with "{| class="wikitable" |- ! Root<br>Note !! Other<br>Note !! Semitones<br>from<br />Root to<br>Other !! Interval<br>Short<br>Name !! Interval<br>Full<br>Name !! Just<br>Intonati...") |
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| C || C || 12 || U || Unison or Octave || 2:1 | | C || C || 12 || U || Unison or Octave || 2:1 | ||
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| + | {|class="wikitable" | ||
| + | ! 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 | ||
|} | |} | ||
Revision as of 18:24, 5 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 |