|
Intervals (list by name & list by ratio)
|
|
Numbers in brackets are the number of semitones in the interval.
Fractional semitones are approximate.
|
|
Twelve-semitone
(Western) |
|
Perfect
|
- unison (0)
- fourth (5)
- fifth (7)
- octave (12)
|
|
|
Major
|
- second (2)
- third (4)
- sixth (9)
- seventh (11)
|
|
|
Minor
|
- second (1)
- third (3)
- sixth (8)
- seventh (10)
|
|
|
Augmented
|
- unison (1)
- second (3)
- third (5)
- fourth (6)
- fifth (8)
- sixth (10)
- seventh (12)
- octave (13)
|
|
|
Diminished
|
- second (0)
- third (2)
- fourth (4)
- fifth (6)
- sixth (7)
- seventh (9)
- octave (11)
|
|
|
Compound
|
- ninth (13 or 14)
- tenth (15 or 16)
- eleventh (17 or 18)
- twelfth (18 or 19)
- thirteenth (20 or 21)
- fourteenth (22 or 23)
- fifteenth (24)
|
|
|
| Other systems |
|
Neutral
|
- quarter tone (½)
- second (1½)
- third (3½)
- major fourth (5½)
- minor fifth (6½)
- sixth (8½)
- seventh (10½)
|
|
|
7-limit
|
- quarter tone (½)
- chromatic semitone (⅔)
- diatonic semitone (1⅙)
- whole tone (2⅓)
- subminor third (2⅔)
- supermajor third (4⅓)
- harmonic (subminor) seventh (9⅔)
|
|
|
| Other intervals |
|
Groups
|
- Microtone
- 5-limit
- Comma
- Pseudo-octave
- Pythagorean interval
|
|
|
Commas
|
- Pythagorean comma
- Pythagorean apotome
- Pythagorean limma
- Diesis
- Septimal diesis
- Septimal comma
- Syntonic comma
- Schisma
- Diaschisma
- Major limma
- Ragisma
- Breedsma
- Kleisma
- Septimal kleisma
- Septimal semicomma
- Orwell comma
- Semicomma
- Septimal sixth-tone
- Septimal quarter tone
- Septimal third-tone
|
|
|
Measurement
|
- Cent
- Centitone
- Millioctave
- Savart
|
|
|
Others
|
- Quarter tone
- Wolf
- Ditone
- Semiditone
- Holdrian comma
- Secor
- Subminor interval
- Supermajor interval
- Incomposite interval
|
|