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Comprehensive Scale Catalog: Four-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 four tones per octave and using alternate temperaments.

The root note of each scale is shown in blue, such as Finger diagram closed closed closed closed closed closed.

Pure Four

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: 5–2–2–3

Scale degrees:
  in cents: 0–603–796–969–1200
  intervals: 1–d5–m6–a6–8
  Root, Diminished 5th, Minor 6th, Quarter-sharp Major 6th, Octave

Pitches starting from C:
  C F♯ G♯ A+ c
  C G♭ A♭ A+ c

G cleffCF sharpG sharpA quarter-sharpCbarlineCG flatA flatA quarter-sharpCEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–498–702–906–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–522–702–906–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–520–702–906–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–503–697–890–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–498–696–888–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–498–694–890–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–504–702–900–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–498–698–893–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–498–702–884–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–498–702–884–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–498–702–884–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–498–702–884–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–498–702–884–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Temperament: 12-Tone Golden Ratio Temperament (12Golden-A)
The 12 degrees of this temperament, in cents:
  0–108–175–283–360–458–583–742–836–943–1064–1130–1200

Scale steps in semitones: 5–2–2–3

Scale degrees:
  in cents: 0–458–742–943–1200
  intervals: 1–b4–a5–a6–8
  Root, Quarter-flat 4th, Quarter-sharp 5th, Quarter-sharp Major 6th, Octave

Pitches starting from C: C E+ G+ A+ c

G cleffCE quarter-sharpG quarter-sharpA quarter-sharpCEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Temperament: 12-Tone Golden Ratio Temperament (12Golden-B)
The 12 degrees of this temperament, in cents:
  0–149–236–367–455–560–686–833–916–1004–1099–1149–1200

Scale steps in semitones: 5–2–2–3

Scale degrees:
  in cents: 0–560–833–1004–1200
  intervals: 1–a4–b6–m7–8
  Root, Quarter-sharp 4th, Quarter-flat Major 6th, Minor 7th, Octave

Pitches starting from C:
  C F+ A A♯ c
  C F+ A B♭ c

G cleffCF quarter-sharpA quarter-flatA sharpCbarlineCF quarter-sharpA quarter-flatB flatCEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

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: 5–2–2–3

Scale degrees:
  in cents: 0–471–702–906–1200
  intervals: 1–b4–5–6–8
  Root, Quarter-flat 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C E+ G A c

G cleffCE quarter-sharpGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–503–697–890–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–498–698–895–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–498–702–899–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–496–697–890–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–503–697–890–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–503–697–890–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–497–697–890–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–498–702–895–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–498–697–890–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–503–697–890–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–503–697–890–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–498–697–890–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–498–698–894–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

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: 5–2–2–3

Scale degrees:
  in cents: 0–498–702–898–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

Temperament: 12-Tone Werkmeister 3 Temperament (S_12Werk3)
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: 5–2–2–3

Scale degrees:
  in cents: 0–498–696–888–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

Temperament: 12-Tone Werkmeister 4 Temperament (S_12Werk4)
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: 5–2–2–3

Scale degrees:
  in cents: 0–498–694–890–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram open open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

Temperament: 12-Tone Werkmeister 5 Temperament (S_12Werk5)
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: 5–2–2–3

Scale degrees:
  in cents: 0–504–702–900–1200
  intervals: 1–4–5–6–8
  Root, Perfect 4th, Perfect 5th, Major 6th, Octave

Pitches starting from C: C F G A c

G cleffCFGACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Pure Four

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: 5–2–2–3

Scale degrees:
  in cents: 0–792–949–1065–1200
  intervals: 1–m6–a6–b7–8
  Root, Minor 6th, Quarter-sharp Major 6th, Quarter-flat Major 7th, Octave

Pitches starting from C:
  C G♯ A+ B c
  C A♭ A+ B c

G cleffCG sharpA quarter-sharpB quarter-flatCbarlineCA flatA quarter-sharpB quarter-flatCEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Messiaen truncated mode 6

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed openFinger diagram closed closed closed closed open openFinger diagram closed closed open open open openFinger diagram open closed closed open open openFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed closedSeven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open closed closed closedSeven hole finger diagram closed closed open closed closed closed closedSeven hole finger diagram second octave half-closed closed closed closed closed closed closed   or  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed closed open open openSeven hole finger diagram closed closed open closed closed closed closedSeven hole finger diagram closed open open open open open openSeven hole finger diagram closed closed closed closed closed closed open

Temperament: 6-Tone Equal Temperament (6TET)
The 6 degrees of this temperament, in cents:
  0–200–400–600–800–1000–1200
Notes: This temperament is equivalent to a 12-TET scale with scale steps 2-2-2-2-2-2 (Whole Tone scale).

Scale steps in semitones: 1–2–1–2

Scale degrees:
  in cents: 0–200–600–800–1200
  intervals: 1–2–d5–m6–8
  Root, Major 2nd, Diminished 5th, Minor 6th, Octave

Pitches starting from C:
  C D F♯ G♯ c
  C D G♭ A♭ c

G cleffCDF sharpG sharpCbarlineCDG flatA flatCEnd of staff

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Messiaen Truncated Mode 6 Inverse and Messiaen truncated mode 6 inverse
  Mode 3 of: Messiaen Truncated Mode 6 and Messiaen truncated mode 6
  Mode 4 of: Messiaen Truncated Mode 6 Inverse and Messiaen truncated mode 6 inverse

The name I use for this scale comes from: Clint's Invented Name

Scala name: Messiaen truncated mode 6

Messiaen truncated mode 6 inverse

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open closedFinger diagram closed closed closed open closed openFinger diagram closed open closed open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed open openFinger diagram closed closed open open open openFinger diagram open closed closed open open openFinger diagram closed closed closed closed closed openFinger diagram closed closed closed closed open open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed closedSeven hole finger diagram closed closed closed closed open open openSeven hole finger diagram closed closed closed open closed closed closedSeven hole finger diagram closed open open open open open openSeven hole finger diagram second octave half-closed closed closed closed closed closed closed   or  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed open closed closed closedSeven hole finger diagram closed closed open closed closed closed closedSeven hole finger diagram second octave half-closed closed closed closed closed closed closedSeven hole finger diagram closed closed closed closed closed closed closedSeven hole finger diagram closed closed closed closed closed closed open

Temperament: 6-Tone Equal Temperament (6TET)
The 6 degrees of this temperament, in cents:
  0–200–400–600–800–1000–1200
Notes: This temperament is equivalent to a 12-TET scale with scale steps 2-2-2-2-2-2 (Whole Tone scale).

Scale steps in semitones: 2–1–2–1

Scale degrees:
  in cents: 0–400–600–1000–1200
  intervals: 1–3–d5–m7–8
  Root, Major 3rd, Diminished 5th, Minor 7th, Octave

Pitches starting from C:
  C E F♯ A♯ c
  C E G♭ B♭ c

G cleffCEF sharpA sharpCbarlineCEG flatB flatCEnd of staff

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Messiaen Truncated Mode 6 and Messiaen truncated mode 6
  Mode 3 of: Messiaen Truncated Mode 6 Inverse and Messiaen truncated mode 6 inverse
  Mode 4 of: Messiaen Truncated Mode 6 and Messiaen truncated mode 6

The name I use for this scale comes from: Clint's Invented Name

Scala name: Messiaen truncated mode 6 inverse

Four Out of 19

Temperament: 19-Tone Equal Temperament (19TET)
The 19 degrees of this temperament, in cents:
  0–63–126–189–253–316–379–442–505–568–632–695–758–821–884–947–1011–1074–1137–1200

Scale steps in semitones: 5–4–5–5

Scale degrees:
  in cents: 0–316–568–884–1200
  intervals: 1–m3–a4–6–8
  Root, Minor 3rd, Quarter-sharp 4th, Major 6th, Octave

Pitches starting from C:
  C D♯ F+ A c
  C E♭ F+ A c

G cleffCD sharpF quarter-sharpACbarlineCE flatF quarter-sharpACEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Scala name: Four out of 19

Genus Primum

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed openFinger diagram closed closed closed closed open openFinger diagram closed closed open closed open openFinger diagram closed open closed open open openFinger diagram closed closed closed closed closed open   or  Finger diagram closed closed closed closed open openFinger diagram closed closed closed open open openFinger diagram closed open closed open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed open open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed openSeven hole finger diagram closed closed closed closed open open openSeven hole finger diagram closed closed closed open open open openSeven hole finger diagram closed closed open open open open openSeven hole finger diagram closed closed closed closed closed closed open

Temperament: 31-Tone Equal Temperament (31TET)
The 31 degrees of this temperament, in cents:
  0–39–77–116–155–194–232–271–310–348–387–426–465–503–542–581–619–658–697–735–774–813–852–890–929–968–1006–1045–1084–1123–1161–1200

Scale steps in semitones: 5–8–5–13

Scale degrees:
  in cents: 0–194–503–697–1200
  intervals: 1–2–4–5–8
  Root, Major 2nd, Perfect 4th, Perfect 5th, Octave

Pitches starting from C: C D F G c

G cleffCDFGCEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Scala name: Genus primum

Genus Decium

Temperament: 31-Tone Equal Temperament (31TET)
The 31 degrees of this temperament, in cents:
  0–39–77–116–155–194–232–271–310–348–387–426–465–503–542–581–619–658–697–735–774–813–852–890–929–968–1006–1045–1084–1123–1161–1200

Scale steps in semitones: 13–6–6–6

Scale degrees:
  in cents: 0–503–735–968–1200
  intervals: 1–4–a5–a6–8
  Root, Perfect 4th, Quarter-sharp 5th, Quarter-sharp Major 6th, Octave

Pitches starting from C: C F G+ A+ c

G cleffCFG quarter-sharpA quarter-sharpCEnd of staff

The name I use for this scale comes from: Clint's Invented Name

Scala name: Genus decimum

Chromatic

Temperament: 4-Tone Eland (Bushmen) Temperament (BushEland4)
The 4 degrees of this temperament, in cents:
  0–489–710–954–1200
Notes: From Scala's bushmen.scl: "Observed scale of South-African bushmen, almost (4 notes) equal pentatonic." 5TET is [0, 240, 480, 720, 960, 1200] and this varies by no more than 10 cents. Note also that 954 is somewhat close to 7/4 (969) and 26/15 (952). This scale is exactly as described in Example 8 of [England 1967].

Scale steps in semitones: 1–1–1–1

Scale degrees:
  in cents: 0–489–710–954–1200
  intervals: 1–4–5–a6–8
  Root, Perfect 4th, Perfect 5th, Quarter-sharp Major 6th, Octave

Pitches starting from C: C F G A+ c

G cleffCFGA quarter-sharpCEnd of staff

The name I use for this scale comes from: Aaron Andrew Hunt's bushmen.scl from http://www.h-pi.com/scalavista/scalearchive.php and [England 1967] Example 8

Chromatic

Temperament: 4-Tone Giraffe (Bushmen) Temperament (BushGiraffe4)
The 4 degrees of this temperament, in cents:
  0–249–425–786–1200
Notes: Example 5 of [England 1967].

Scale steps in semitones: 1–1–1–1

Scale degrees:
  in cents: 0–249–425–786–1200
  intervals: 1–a2–b4–m6–8
  Root, Quarter-sharp Major 2nd, Quarter-flat 4th, Minor 6th, Octave

Pitches starting from C:
  C D+ E+ G♯ c
  C D+ E+ A♭ c

G cleffCD quarter-sharpE quarter-sharpG sharpCbarlineCD quarter-sharpE quarter-sharpA flatCEnd of staff

The name I use for this scale comes from: [England 1967] Example 5

Chromatic

Fingerings on most contemporary six-hole pentatonic minor Native American flutes:

  Finger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed openFinger diagram closed closed closed open closed openFinger diagram closed closed open open open openFinger diagram open open closed open open open   or  Finger diagram closed closed closed closed closed openFinger diagram closed closed closed open closed openFinger diagram closed closed open open open openFinger diagram open open closed open open openFinger diagram closed closed closed closed closed closedFinger diagram closed closed closed closed closed open

Fingerings on Anasazi-7 tuned Native American flutes:

  Seven hole finger diagram closed closed closed closed closed closed closedSeven hole finger diagram closed closed closed closed closed open openSeven hole finger diagram closed closed closed open closed closed closedSeven hole finger diagram closed closed open open open open openSeven hole finger diagram second octave half-closed closed closed closed closed closed closed

Temperament: 4-Tone Equal Temperament (4TET)
The 4 degrees of this temperament, in cents:
  0–300–600–900–1200
Notes: This temperament is equivalent to a 12-TET scale with scale steps 3-3-3-3.

Scale steps in semitones: 1–1–1–1

Scale degrees:
  in cents: 0–300–600–900–1200
  intervals: 1–m3–d5–6–8
  Root, Minor 3rd, Diminished 5th, Major 6th, Octave

Pitches starting from C:
  C D♯ F♯ A c
  C E♭ G♭ A c

G cleffCD sharpF sharpACbarlineCE flatG flatACEnd of staff

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Diminished Seventh and Chromatic
  Mode 3 of: Diminished Seventh and Chromatic
  Mode 4 of: Diminished Seventh and Chromatic

The name I use for this scale comes from: The general scale name "chromatic" includes all scale steps in this temperament

Notes: This scale is equivalent to a 12-TET scale with scale steps 3-3-3-3.

Harmonic Seventh

Temperament: 4-Tone Overtone Temperament (Over4)
The 4 degrees of this temperament, in cents:
  0–386–702–969–1200
Notes: Overtone series 4:5:6:7:8 = 4/4, 5/4, …, 8/4.

Scale steps in semitones: 1–1–1–1

Scale degrees:
  in cents: 0–386–702–969–1200
  intervals: 1–3–5–a6–8
  Root, Major 3rd, Perfect 5th, Quarter-sharp Major 6th, Octave

Pitches starting from C: C E G A+ c

G cleffCEGA quarter-sharpCEnd of staff

Corresponding Chord: Harmonic Seventh (Barbershop Seventh)

The name I use for this scale comes from: Scale name set by Clint based on the name of the corresponding 4-note chord

Wikipedia page related to this scale:

Notes: An alternate name could be "Chromatic 4-Tone OverTone Temperment" scale.

 
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To cite this page on Wikipedia: <ref name="Goss_2018_csc_4tone_alt"> {{cite web |last=Goss |first=Clint |title=Comprehensive Scale Catalog: Four-Tone Scales in Alternate Temperaments |url=http://www.Flutopedia.com/csc_4tone_alt.htm |date=24 March 2018 |website=Flutopedia |access-date=<YOUR RETRIEVAL DATE> }}</ref>