List of musical scales and modes
The following is a list of musical scales and modes. Degrees are relative to the major scale.
| Name | Image | Sound | JSID | Degrees | Intervals | Integer notation | # of pitch classes | Lower [|tetrachord] | Upper tetrachord | Use of key signature usual or unusual |
| 15 equal temperament | โ | โ | โ | 15 | โ | โ | โ | |||
| 16 equal temperament | โ | โ | โ | 16 | โ | โ | โ | |||
| 17 equal temperament | โ | โ | โ | 17 | โ | โ | โ | |||
| 19 equal temperament | โ | โ | โ | 19 | โ | โ | โ | |||
| 21 equal temperament | โ | โ | โ | 21 | โ | โ | โ | |||
| Acoustic scale/ Lydian dominant scale | 2742 | 1 2 3 4 5 6 7 | W-W-W-H-W-H-W | 7 | Whole tone | Minor | Usual | |||
| Aeolian mode/ natural minor scale | 2906 | 1 2 3 4 5 6 7 | W-H-W-W-H-W-W | 7 | Minor | Phrygian | Usual | |||
| Algerian scale | 2873/2880 | 1 2 3 4 5 6 7 etc. | W-H-3H-H-H-3H-H-W-H-W | Variable | โ | โ | โ | |||
| Alpha scale | โ | โ | โ | โ | 15.39 | โ | โ | โ | ||
| Altered scale/ Super Locrian scale | 3498 | 1 2 3 4 5 6 7 | H-W-H-W-W-W-W | 7 | Diminished | Whole tone | Unusual | |||
| Augmented scale | 2457 | 1 3 3 5 5 7 | 3H-H-3H-H-3H-H | 6 | โ | Lydian | Unusual | |||
| Bebop dominant scale | 2775 | 1 2 3 4 5 6 7 7 | W-W-H-W-W-H-H-H | 8 | Major | Chromatic | Usual | |||
| Beta scale | โ | โ | โ | โ | 18.75 | โ | โ | โ | ||
| Blues scale | 2418 | 1 3 4 5 5 7 | 3H-W-H-H-3H-W | 6 | โ | โ | Unusual | |||
| BohlenโPierce scale | โ | โ | โ | โ | โ | โ | โ | โ | ||
| Chromatic scale | 4095 | 1 1 2 2 3 4 4 5 5 6 6 7 7 7 6 6 5 5 4 3 3 2 2 1 | H-H-H-H-H-H-H-H-H-H-H-H | 12 | Chromatic | Chromatic | Unusual | |||
| Delta scale | โ | โ | โ | โ | 85.7 | โ | โ | โ | ||
| Dorian mode | 2902 | 1 2 3 4 5 6 7 | W-H-W-W-W-H-W | 7 | Minor | Minor | Usual | |||
| Double harmonic scale | 3289 | 1 2 3 4 5 6 7 | H-3H-H-W-H-3H-H | 7 | Harmonic | Harmonic | Unusual | |||
| Enigmatic scale | 3243 | 1 2 3 4 5 6 7 | H-3H-W-W-W-H-H | 7 | Harmonic | โ | Unusual | |||
| EulerโFokker genus | โ | โ | โ | 6 | โ | โ | โ | |||
| Gamma scale | โ | โ | โ | โ | 34.29 | โ | โ | โ | ||
| "Gypsy" scale | 2874 | 1 2 3 4 5 6 7 | W-H-3H-H-H-W-W | 7 | Gypsy | Phrygian | Unusual | |||
| Half diminished scale | 2922 | 1 2 3 4 5 6 7 | W-H-W-H-W-W-W | 7 | Minor | Whole tone | Unusual | |||
| Harmonic major scale | 2777 | 1 2 3 4 5 6 7 | W-W-H-W-H-3H-H | 7 | Major | Harmonic | Usual | |||
| Harmonic minor scale | 2905 | 1 2 3 4 5 6 7 | W-H-W-W-H-3H-H | 7 | Minor | Harmonic | Usual | |||
| Harmonic scale | โ | โ | โ | 12 | โ | โ | โ | |||
| Hirajลshi scale | 2225 | 1 3 4 5 7 | 2W-W-H-2W-H | 5 | โ | โ | Unusual | |||
| Hungarian "Gypsy" scale/ Hungarian minor scale | 2873 | 1 2 3 4 5 6 7 | W-H-3H-H-H-3H-H | 7 | Gypsy | Harmonic | Unusual | |||
| Hungarian major scale | 2486 | 1 2 3 4 5 6 7 | 3H-H-W-H-W-H-W | 7 | โ | Minor | Unusual | |||
| In scale | 3160 | 1 2 4 5 6 | H-2W-W-H-2W | 5 | โ | โ | Unusual | |||
| Insen scale | 3154 | 1 2 4 5 7 | H-2W-W-3H-W | 5 | โ | โ | Unusual | |||
| Ionian mode/ major scale | 2773 | 1 2 3 4 5 6 7 | W-W-H-W-W-W-H | 7 | Major | Major | Usual | |||
| Istrian scale | 3504 | 1 2 3 4 5 5 | H-W-H-W-H-5H | 6 | Diminished | โ | Unusual | |||
| Iwato scale | 3170 | 1 2 4 5 7 | H-2W-H-2W-W | 5 | โ | โ | Unusual | |||
| Locrian mode | 3434 | 1 2 3 4 5 6 7 | H-W-W-H-W-W-W | 7 | Phrygian | Whole tone | Usual | |||
| Locrian โฎ6 | โ | โ | 3430 | 1 2 3 4 5 6 7 | H-W-W-H-3H-H-W | 7 | Phrygian | Gypsy | Unusual | |
| Lydian augmented scale | 2733 | 1 2 3 4 5 6 7 | W-W-W-W-H-W-H | 7 | Whole tone | Diminished | Unusual | |||
| Lydian diminished scale | โ | 2869 | 1 2 3 4 5 6 7 | W-H-3H-H-W-W-H | 7 | Gypsy | Major | Unusual | ||
| Lydian mode | 2741 | 1 2 3 4 5 6 7 | W-W-W-H-W-W-H | 7 | Whole tone | Major | Usual | |||
| Major bebop scale | 2781 | 1 2 3 4 5 6 7 | W-W-H-W--W-H | 7 | Major | Diminished | Unusual | |||
| Major Locrian scale | 2794 | 1 2 3 4 5 6 7 | W-W-H-H-W-W-W | 7 | Major | Whole tone | Usual | |||
| Major pentatonic scale | 2708 | 1 2 3 5 6 | W-W-3H-W-3H | 5 | โ | โ | Usual | |||
| Melodic minor scale | 2901\2906 | 1 2 3 4 5 6 7 8 7 6 5 4 3 2 1 | W-H-W-W-W-W-H W-W-H-W-W-H-W | | 9 | Minor Major | Major Minor | Unusual Unusual | ||
| Melodic minor scale / Hawaiian scale | 2901 | 1 2 3 4 5 6 7 | W-H-W-W-W-W-H | 7 | Minor | Major | Usual | |||
| Minor pentatonic scale | 2386 | 1 3 4 5 7 | 3H-W-W-3H-W | 5 | โ | โ | Usual | |||
| Mixolydian mode/ Adonai malakh mode | 2774 | 1 2 3 4 5 6 7 | W-W-H-W-W-H-W | 7 | Major | Minor | Usual | |||
| Neapolitan major scale | 3413 | 1 2 3 4 5 6 7 | H-W-W-W-W-W-H | 7 | Phrygian | Major | Unusual | |||
| Neapolitan minor scale | 3417 | 1 2 3 4 5 6 7 | H-W-W-W-H-3H-H | 7 | Phrygian | Lydian | Unusual | |||
| Non-Pythagorean scale | โ | โ | โ | โ | โ | โ | โ | โ | ||
| Octatonic scale | 2925 3510 | 1 2 3 4 5 6 6 7 1 2 3 3 4 5 6 7 | W-H-W-H-W-H-W-H H-W-H-W-H-W-H-W | 8 | Minor Diminished | Diminished Minor | Unusual Unusual | |||
| Pelog | โ | โ | โ | โ | โ | โ | โ | |||
| Persian scale | 3305 | 1 2 3 4 5 6 7 | H-3H-H-H-W-3H-H | 7 | Lydian | โ | Unusual | |||
| Phrygian dominant scale | 3290 | 1 2 3 4 5 6 7 | H-3H-H-W-H-W-W | 7 | Lydian | Phrygian | Usual | |||
| Phrygian mode | 3418 | 1 2 3 4 5 6 7 | H-W-W-W-H-W-W | 7 | Phrygian | Phrygian | Usual | |||
| Prometheus scale | 2726 | 1 2 3 4 6 7 | W-W-W-3H-H-W | 6 | Whole tone | โ | Unusual | |||
| Quarter tone scale | 1 1 1 1 2 2 2 2 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 8 7 7 7 7 6 6 6 6 5 5 5 5 4 4 3 3 3 3 2 2 2 2 1 | Q-Q-Q-Q-Q-Q-Q-Q-Q-Q-Q-Q-Q-Q-Q-Q-Q-Q-Q-Q-Q-Q-Q-Q | 24 | โ | โ | Unusual | ||||
| Scale of harmonics | 2516 | 1 3 3 4 5 6 | 3H-H-H-W-W-3H | 6 | โ | โ | Unusual | |||
| Slendro | or | โ | โ | โ | 5 | โ | โ | โ | ||
| Tritone scale | 3250 | 1 2 3 5 5 7 | H-3H-W-H-3H-W | 6 | โ | โ | Unusual | |||
| Two-semitone tritone scale | 3640 | 1 2 2 4 5 6 | H-H-2W-H-H-2W | 6 | โ | โ | Unusual | |||
| Ukrainian Dorian scale | 2870 | 1 2 3 4 5 6 7 | W-H-3H-H-W-H-W | 7 | Gypsy | Minor | Unusual | |||
| Vietnamese scale of harmonics | 1 3 3 3 4 5 | 5Q-Q-H-H-W | 6 | โ | โ | Unusual | ||||
| Whole tone scale | 2730 | 1 2 3 4 5 6 | W-W-W-W-W-W | 6 | Whole tone | Whole tone | Unusual | |||
| Yo scale | 2644 | 1 2 4 5 6 | W-3H-W-W-3H | 5 | โ | โ | Unusual |
| Tetrachords | Semitones | Letters |
| Chromatic | 1 1 1 | H-H-H |
| Chromatic | 3 1 1 | 3H-H-H |
| Diatonic | 2 2 1 | W-W-H |
| Diminished | 1 2 1 | H-W-H |
| Gypsy | 2 1 3 | W-H-3H |
| Harmonic/Lydian | 1 3 1 | H-3H-H |
| Major/Dominant | 2 2 1 | W-W-H |
| Minor/Dorian | 2 1 2 | W-H-W |
| Phrygian/Locrian/ Upper minor | 1 2 2 | H-W-W |
| Whole tone | 2 2 2 | W-W-W |