Comprehensive Scale Catalog: Twelve-Tone Scales in Alternate Temperaments
This page is part of Flutopedia's Comprehensive Scale Catalog ... a listing of many (many) scales that can be played on Native American flutes.
This page shows only scales with twelve tones per octave and using alternate temperaments.
The root note of each scale is shown in blue, such as  .
Chromatic
Temperament: 12-Tone Pythagorean Temperament (12Pyth)
The 12 degrees of this temperament, in cents:
0–90–204–294–408–498–588–702–792–906–996–1110–1200
Notes: From [Rich 2010]: "One of the earliest tuning systems known from history, the Pythagorean scale is constructed from an upward series of pure fifths (3/2) transposed down into a single octave. The tuning works well for monophonic melodies against fifth drones, but has a very narrow palate of good chords to choose from." Uses augmented 4th at 1024/729 (588 cents) rather than diminihsed 5th at 729/512 (611 cents). Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–90–204–294–408–498–588–702–792–906–996–1110–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
              
    
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
This scale is a mode (rotation) of these other scales:
Mode 7 of: Chromatic
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Overtone Temperament (Over12)
The 12 degrees of this temperament, in cents:
0–139–267–386–498–603–702–796–884–969–1049–1126–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–139–267–386–498–603–702–796–884–969–1049–1126–1200
intervals: 1–n2–a2–3–4–d5–5–m6–6–a6–n7–b8–8
Root, Neutral 2nd, Quarter 2nd-3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Quarter 6th-7th, Neutral 7th, Quarter-flat Octave, Octave
Pitches starting from C:
C D– D+ E F F♯ G G♯ A A+ B– B+ c
C D– D+ E F G♭ G A♭ A A+ B– B+ c
    
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Huang-chung Precise (six-digit) Temperament (12HC6)
The 12 degrees of this temperament, in cents:
0–114–204–318–408–522–612–702–816–906–1020–1110–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–114–204–318–408–522–612–702–816–906–1020–1110–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
This scale is a mode (rotation) of these other scales:
Mode 7 of: Chromatic
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Huang-chung Simplified (two-digit) Temperament (12HC2)
The 12 degrees of this temperament, in cents:
0–110–204–303–408–520–608–702–801–906–1018–1096–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–110–204–303–408–520–608–702–801–906–1018–1096–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Quarter-comma Meantone Temperament (12MeanQC)
The 12 degrees of this temperament, in cents:
0–76–193–310–386–503–580–697–773–890–1007–1083–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–76–193–310–386–503–580–697–773–890–1007–1083–1200
intervals: 1–m2–2–m3–3–4–d5–5–a5–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Quarter-sharp 5th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G+ A A♯ B c
C D♭ D E♭ E F G♭ G G+ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Werckmeister I Temperament (12Werck1)
The 12 degrees of this temperament, in cents:
0–90–192–294–390–498–588–696–792–888–996–1092–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–90–192–294–390–498–588–696–792–888–996–1092–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Werckmeister II Temperament (12Werck2)
The 12 degrees of this temperament, in cents:
0–82–196–294–392–498–588–694–784–890–1004–1086–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–82–196–294–392–498–588–694–784–890–1004–1086–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Werckmeister III Temperament (12Werck3)
The 12 degrees of this temperament, in cents:
0–96–204–300–396–504–600–702–792–900–1002–1098–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–96–204–300–396–504–600–702–792–900–1002–1098–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Werckmeister IV Temperament (12Werck4)
The 12 degrees of this temperament, in cents:
0–91–196–298–395–498–595–698–793–893–1000–1097–1200
Notes: Based on division of a monochord into 196=7x7x4 divisions. Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–91–196–298–395–498–595–698–793–893–1000–1097–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Just Intoned 5-Limit Symmetric 1 Temperament (12JI5LimS1)
The 12 degrees of this temperament, in cents:
0–112–204–316–386–498–590–702–814–884–996–1088–1200
Notes: Uses the augmented 4th at 45/32 (590 cents) rather than diminihsed 5th at 64/45 (610 cents). Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–112–204–316–386–498–590–702–814–884–996–1088–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Just Intoned 5-Limit Symmetric 2 Temperament (12JI5LimS2)
The 12 degrees of this temperament, in cents:
0–112–182–316–386–498–590–702–814–884–1018–1088–1200
Notes: Uses the augmented 4th at 45/32 (590 cents) rather than diminihsed 5th at 64/45 (610 cents). Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–112–182–316–386–498–590–702–814–884–1018–1088–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Just Intoned 5-Limit Asymmetric Standard Temperament (12JI5LimA)
The 12 degrees of this temperament, in cents:
0–112–204–316–386–498–590–702–814–884–1018–1088–1200
Notes: Uses the augmented 4th at 45/32 (590 cents) rather than diminihsed 5th at 64/45 (610 cents). Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–112–204–316–386–498–590–702–814–884–1018–1088–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Just Intoned 5-Limit Asymmetric Extended Temperament (12JI5LimAE)
The 12 degrees of this temperament, in cents:
0–112–204–316–386–498–569–702–814–884–1018–1088–1200
Notes: Uses the augmented 4th at 25/18 (569 cents) rather than diminihsed 5th at 36/25 (631 cents). Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–112–204–316–386–498–569–702–814–884–1018–1088–1200
intervals: 1–m2–2–m3–3–4–a4–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Quarter-sharp 4th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F+ G G♯ A A♯ B c
C D♭ D E♭ E F F+ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Just Intoned 7-Limit Temperament (12JI7Lim)
The 12 degrees of this temperament, in cents:
0–112–231–316–386–498–583–702–814–884–969–1088–1200
Notes: Uses the augmented 4th at 7/5 (583 cents) rather than diminihsed 5th at 10/7 (617 cents). Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–112–231–316–386–498–583–702–814–884–969–1088–1200
intervals: 1–m2–a2–m3–3–4–d5–5–m6–6–a6–7–8
Root, Minor 2nd, Quarter 2nd-3rd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Quarter 6th-7th, Major 7th, Octave
Pitches starting from C:
C C♯ D+ D♯ E F F♯ G G♯ A A+ B c
C D♭ D+ E♭ E F G♭ G A♭ A A+ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: Carlos Harmonic Twelve Tone Temperament (12Carlos)
The 12 degrees of this temperament, in cents:
0–105–204–298–386–471–551–702–841–906–969–1088–1200
Notes: Wendy Carlos’ twelve-note scale based on octave-repeating harmonics. A = 1/1 (440 Hz). 1/1 17/16 9/8 19/16 5/4 21/16 11/8 3/2 13/8 27/16 7/4 15/8 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–105–204–298–386–471–551–702–841–906–969–1088–1200
intervals: 1–m2–2–m3–3–b4–a4–5–n6–6–a6–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Quarter 3rd-4th, Quarter-sharp 4th, Perfect 5th, Neutral 6th, Major 6th, Quarter 6th-7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E E+ F+ G A– A A+ B c
C D♭ D E♭ E E+ F+ G A– A A+ B c
 
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone 1/4 Comma A Temperament (12MeanQCA)
The 12 degrees of this temperament, in cents:
0–76–193–310–386–503–580–697–772–890–1007–1083–1200
Notes: Difference of 773 vs 772 from Wikipedia's version. Probably an error in Sethares. Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–76–193–310–386–503–580–697–772–890–1007–1083–1200
intervals: 1–m2–2–m3–3–4–d5–5–a5–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Quarter-sharp 5th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G+ A A♯ B c
C D♭ D E♭ E F G♭ G G+ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Barca Temperament (12Barca)
The 12 degrees of this temperament, in cents:
0–92–197–296–393–498–590–698–794–895–996–1092–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–92–197–296–393–498–590–698–794–895–996–1092–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
This scale is a mode (rotation) of these other scales:
Mode 6 of: Chromatic
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Barca A Temperament (12BarcaA)
The 12 degrees of this temperament, in cents:
0–92–200–296–397–498–594–702–794–899–998–1095–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–92–200–296–397–498–594–702–794–899–998–1095–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
This scale is a mode (rotation) of these other scales:
Mode 8 of: Chromatic
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Bethisy Temperament (12Bethisy)
The 12 degrees of this temperament, in cents:
0–87–193–289–386–496–587–697–787–890–993–1087–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–87–193–289–386–496–587–697–787–890–993–1087–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Chaumont Temperament (12Chaumont)
The 12 degrees of this temperament, in cents:
0–76–193–289–386–503–580–697–773–890–996–1083–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–76–193–289–386–503–580–697–773–890–996–1083–1200
intervals: 1–m2–2–m3–3–4–d5–5–a5–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Quarter-sharp 5th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G+ A A♯ B c
C D♭ D E♭ E F G♭ G G+ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Corrette Temperament (12Corrette)
The 12 degrees of this temperament, in cents:
0–76–193–289–386–503–580–697–783–890–996–1083–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–76–193–289–386–503–580–697–783–890–996–1083–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone d'Alembert Temperament (12dAlembert)
The 12 degrees of this temperament, in cents:
0–87–193–290–386–497–587–697–787–890–994–1087–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–87–193–290–386–497–587–697–787–890–994–1087–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Kirnberger 2 Temperament (12Kirn2)
The 12 degrees of this temperament, in cents:
0–90–204–294–386–498–590–702–792–895–996–1088–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–90–204–294–386–498–590–702–792–895–996–1088–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Kirnberger 3 Temperament (12Kirn3)
The 12 degrees of this temperament, in cents:
0–90–193–294–386–498–590–697–792–890–996–1088–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–90–193–294–386–498–590–697–792–890–996–1088–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Marpourg Temperament (12Marpourg)
The 12 degrees of this temperament, in cents:
0–84–193–294–386–503–580–697–789–890–999–1083–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–84–193–294–386–503–580–697–789–890–999–1083–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Rameau b Temperament (12RameauFlat)
The 12 degrees of this temperament, in cents:
0–93–193–305–386–503–582–697–800–890–1007–1083–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–93–193–305–386–503–582–697–800–890–1007–1083–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Rameau # Temperament (12RameauSharp)
The 12 degrees of this temperament, in cents:
0–76–193–286–386–498–580–697–775–890–993–1083–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–76–193–286–386–498–580–697–775–890–993–1083–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Vallotti Temperament (12Vallotti)
The 12 degrees of this temperament, in cents:
0–90–196–294–392–498–588–698–792–894–996–1090–1200
Notes: Note that Sethares mis-spells the name as "Valloti" in Table L. Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–90–196–294–392–498–588–698–792–894–996–1090–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
This scale is a mode (rotation) of these other scales:
Mode 6 of: Chromatic
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Vallotti A Temperament (12ValottiA)
The 12 degrees of this temperament, in cents:
0–90–200–294–396–498–592–702–792–898–996–1094–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–90–200–294–396–498–592–702–792–898–996–1094–1200
intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–7–8
Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave
Pitches starting from C:
C C♯ D D♯ E F F♯ G G♯ A A♯ B c
C D♭ D E♭ E F G♭ G A♭ A B♭ B c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
This scale is a mode (rotation) of these other scales:
Mode 8 of: Chromatic
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Chromatic
Temperament: 12-Tone Non-Pythagorean Temperament (12NonPyth)
The 12 degrees of this temperament, in cents:
0–257–441–583–702–792–877–949–1008–1065–1111–1156–1200 Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–1–1
Scale degrees:
in cents: 0–257–441–583–702–792–877–949–1008–1065–1111–1156–1200
intervals: 1–a2–b4–d5–5–m6–6–a6–m7–n7–7–b8–8
Root, Quarter 2nd-3rd, Quarter 3rd-4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Quarter 6th-7th, Minor 7th, Neutral 7th, Major 7th, Quarter-flat Octave, Octave
Pitches starting from C:
C D+ E+ F♯ G G♯ A A+ A♯ B– B B+ c
C D+ E+ G♭ G A♭ A A+ B♭ B– B B+ c
Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10,11}
Pitch Class Mapping: 4095 (Hex FFF, Binary 111111111111)
The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament
Wikipedia pages related to this scale:
  
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