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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.

Bushmen Eland

Temperament: 4-Tone Eland (Bushmen) (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

Bushmen Giraffe

Temperament: 4-Tone Giraffe (Bushmen) (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 4-Tone Equal Temperament

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:
  0–300–600–900–1200–1500–1800–2100–2400–2700–3000–3300–3600–3900–4200–4500–4800–5100–5400–5700–6000–6300–6600–6900–7200
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 4-Tone Equal Temperament
  Mode 3 of: Diminished Seventh and Chromatic 4-Tone Equal Temperament
  Mode 4 of: Diminished Seventh and Chromatic 4-Tone Equal Temperament

The name I use for this scale comes from: Composed name, to show 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_2017_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=3 February 2017 |website=Flutopedia |access-date=<YOUR RETRIEVAL DATE> }}</ref>