Comprehensive Scale Catalog: Eleven-Tone Scales in Equal Temperament

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 eleven tones per octave and using 12-tone Equal Temperament.

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

Harmonic Chromatic Ascending

Scale steps in semitones: 1–1–1–1–1–1–1–1–1–1–2

Scale degrees:
  in semitones: 0–1–2–3–4–5–6–7–8–9–10–12
  intervals: 1–m2–2–m3–3–4–d5–5–m6–6–m7–8
  Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Octave

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

All The Chords Name: Monatic, 1imperfections

Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,10}

Pitch Class Mapping: 2047 (Hex 7FF, Binary 011111111111)

A Study of Scales (Ian Ring) Index: 2047

Deep scale: No

Coherent scale: No

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Solatic
  Mode 3 of: Zylatic
  Mode 4 of: Mixolatic
  Mode 5 of: Soratic
  Mode 6 of: Godatic
  Mode 7 of: Eptatic
  Mode 8 of: Ionatic

The name I use for this scale comes from: Piano Encyclopedia / Simon Parker

Piano Encyclopedia name: Chromatic (harmonic) ascending

Aerycratic

Scale steps in semitones: 2–1–1–1–1–1–1–1–1–1–1

Scale degrees:
  in semitones: 0–2–3–4–5–6–7–8–9–10–11–12
  intervals: 1–2–m3–3–4–d5–5–m6–6–m7–7–8
  Root, 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 D D♯ E F F♯ G G♯ A A♯ B c
  C D E♭ E F G♭ G A♭ A B♭ B c

All The Chords Name: Aerycratic, 1imperfections

Pitch Class Set: {0,2,3,4,5,6,7,8,9,10,11}

Pitch Class Mapping: 4093 (Hex FFD, Binary 111111111101)

A Study of Scales (Ian Ring) Index: 4093

Deep scale: No

Coherent scale: No

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Harmonic Chromatic Ascending
  Mode 3 of: Solatic
  Mode 4 of: Zylatic
  Mode 5 of: Mixolatic
  Mode 6 of: Soratic
  Mode 7 of: Godatic
  Mode 8 of: Eptatic

The name I use for this scale comes from: AllTheScales.org / William Zeitler

Solatic

Scale steps in semitones: 1–1–1–1–1–1–1–1–1–2–1

Scale degrees:
  in semitones: 0–1–2–3–4–5–6–7–8–9–11–12
  intervals: 1–m2–2–m3–3–4–d5–5–m6–6–7–8
  Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Major 7th, Octave

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

All The Chords Name: Solatic, 1imperfections

Pitch Class Set: {0,1,2,3,4,5,6,7,8,9,11}

Pitch Class Mapping: 3071 (Hex BFF, Binary 101111111111)

A Study of Scales (Ian Ring) Index: 3071

Deep scale: No

Coherent scale: No

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Zylatic
  Mode 3 of: Mixolatic
  Mode 4 of: Soratic
  Mode 5 of: Godatic
  Mode 6 of: Eptatic
  Mode 7 of: Ionatic
  Mode 8 of: Aeolatic

The name I use for this scale comes from: AllTheScales.org / William Zeitler

Zylatic

Scale steps in semitones: 1–1–1–1–1–1–1–1–2–1–1

Scale degrees:
  in semitones: 0–1–2–3–4–5–6–7–8–10–11–12
  intervals: 1–m2–2–m3–3–4–d5–5–m6–m7–7–8
  Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Minor 7th, Major 7th, Octave

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

All The Chords Name: Zylatic, 1imperfections

Pitch Class Set: {0,1,2,3,4,5,6,7,8,10,11}

Pitch Class Mapping: 3583 (Hex DFF, Binary 110111111111)

A Study of Scales (Ian Ring) Index: 3583

Deep scale: No

Coherent scale: No

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Mixolatic
  Mode 3 of: Soratic
  Mode 4 of: Godatic
  Mode 5 of: Eptatic
  Mode 6 of: Ionatic
  Mode 7 of: Aeolatic
  Mode 8 of: Thydatic

The name I use for this scale comes from: AllTheScales.org / William Zeitler

Mixolatic

Scale steps in semitones: 1–1–1–1–1–1–1–2–1–1–1

Scale degrees:
  in semitones: 0–1–2–3–4–5–6–7–9–10–11–12
  intervals: 1–m2–2–m3–3–4–d5–5–6–m7–7–8
  Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Major 6th, Minor 7th, Major 7th, Octave

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

All The Chords Name: Mixolatic, 1imperfections

Pitch Class Set: {0,1,2,3,4,5,6,7,9,10,11}

Pitch Class Mapping: 3839 (Hex EFF, Binary 111011111111)

A Study of Scales (Ian Ring) Index: 3839

Deep scale: No

Coherent scale: No

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Soratic
  Mode 3 of: Godatic
  Mode 4 of: Eptatic
  Mode 5 of: Ionatic
  Mode 6 of: Aeolatic
  Mode 7 of: Thydatic
  Mode 8 of: Aerycratic

The name I use for this scale comes from: AllTheScales.org / William Zeitler

Soratic

Scale steps in semitones: 1–1–1–1–1–1–2–1–1–1–1

Scale degrees:
  in semitones: 0–1–2–3–4–5–6–8–9–10–11–12
  intervals: 1–m2–2–m3–3–4–d5–m6–6–m7–7–8
  Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Diminished 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave

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

All The Chords Name: Soratic, 1imperfections

Pitch Class Set: {0,1,2,3,4,5,6,8,9,10,11}

Pitch Class Mapping: 3967 (Hex F7F, Binary 111101111111)

A Study of Scales (Ian Ring) Index: 3967

Deep scale: No

Coherent scale: No

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Godatic
  Mode 3 of: Eptatic
  Mode 4 of: Ionatic
  Mode 5 of: Aeolatic
  Mode 6 of: Thydatic
  Mode 7 of: Aerycratic
  Mode 8 of: Harmonic Chromatic Ascending

The name I use for this scale comes from: AllTheScales.org / William Zeitler

Godatic

Scale steps in semitones: 1–1–1–1–1–2–1–1–1–1–1

Scale degrees:
  in semitones: 0–1–2–3–4–5–7–8–9–10–11–12
  intervals: 1–m2–2–m3–3–4–5–m6–6–m7–7–8
  Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave

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

All The Chords Name: Godatic, 1imperfections

Pitch Class Set: {0,1,2,3,4,5,7,8,9,10,11}

Pitch Class Mapping: 4031 (Hex FBF, Binary 111110111111)

A Study of Scales (Ian Ring) Index: 4031

Deep scale: No

Coherent scale: No

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Eptatic
  Mode 3 of: Ionatic
  Mode 4 of: Aeolatic
  Mode 5 of: Thydatic
  Mode 6 of: Aerycratic
  Mode 7 of: Harmonic Chromatic Ascending
  Mode 8 of: Solatic

The name I use for this scale comes from: AllTheScales.org / William Zeitler

Eptatic

Scale steps in semitones: 1–1–1–1–2–1–1–1–1–1–1

Scale degrees:
  in semitones: 0–1–2–3–4–6–7–8–9–10–11–12
  intervals: 1–m2–2–m3–3–d5–5–m6–6–m7–7–8
  Root, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave

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

All The Chords Name: Eptatic, 1imperfections

Pitch Class Set: {0,1,2,3,4,6,7,8,9,10,11}

Pitch Class Mapping: 4063 (Hex FDF, Binary 111111011111)

A Study of Scales (Ian Ring) Index: 4063

Deep scale: No

Coherent scale: No

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Ionatic
  Mode 3 of: Aeolatic
  Mode 4 of: Thydatic
  Mode 5 of: Aerycratic
  Mode 6 of: Harmonic Chromatic Ascending
  Mode 7 of: Solatic
  Mode 8 of: Zylatic

The name I use for this scale comes from: AllTheScales.org / William Zeitler

Ionatic

Scale steps in semitones: 1–1–1–2–1–1–1–1–1–1–1

Scale degrees:
  in semitones: 0–1–2–3–5–6–7–8–9–10–11–12
  intervals: 1–m2–2–m3–4–d5–5–m6–6–m7–7–8
  Root, Minor 2nd, Major 2nd, Minor 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave

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

All The Chords Name: Ionatic, 1imperfections

Pitch Class Set: {0,1,2,3,5,6,7,8,9,10,11}

Pitch Class Mapping: 4079 (Hex FEF, Binary 111111101111)

A Study of Scales (Ian Ring) Index: 4079

Deep scale: No

Coherent scale: No

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Aeolatic
  Mode 3 of: Thydatic
  Mode 4 of: Aerycratic
  Mode 5 of: Harmonic Chromatic Ascending
  Mode 6 of: Solatic
  Mode 7 of: Zylatic
  Mode 8 of: Mixolatic

The name I use for this scale comes from: AllTheScales.org / William Zeitler

Aeolatic

Scale steps in semitones: 1–1–2–1–1–1–1–1–1–1–1

Scale degrees:
  in semitones: 0–1–2–4–5–6–7–8–9–10–11–12
  intervals: 1–m2–2–3–4–d5–5–m6–6–m7–7–8
  Root, Minor 2nd, Major 2nd, Major 3rd, Perfect 4th, Diminished 5th, Perfect 5th, Minor 6th, Major 6th, Minor 7th, Major 7th, Octave

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

All The Chords Name: Aeolatic, 1imperfections

Pitch Class Set: {0,1,2,4,5,6,7,8,9,10,11}

Pitch Class Mapping: 4087 (Hex FF7, Binary 111111110111)

A Study of Scales (Ian Ring) Index: 4087

Deep scale: No

Coherent scale: No

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Thydatic
  Mode 3 of: Aerycratic
  Mode 4 of: Harmonic Chromatic Ascending
  Mode 5 of: Solatic
  Mode 6 of: Zylatic
  Mode 7 of: Mixolatic
  Mode 8 of: Soratic

The name I use for this scale comes from: AllTheScales.org / William Zeitler

Thydatic

Scale steps in semitones: 1–2–1–1–1–1–1–1–1–1–1

Scale degrees:
  in semitones: 0–1–3–4–5–6–7–8–9–10–11–12
  intervals: 1–m2–m3–3–4–d5–5–m6–6–m7–7–8
  Root, Minor 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♯ E F F♯ G G♯ A A♯ B c
  C D♭ E♭ E F G♭ G A♭ A B♭ B c

All The Chords Name: Thydatic, 1imperfections

Pitch Class Set: {0,1,3,4,5,6,7,8,9,10,11}

Pitch Class Mapping: 4091 (Hex FFB, Binary 111111111011)

A Study of Scales (Ian Ring) Index: 4091

Deep scale: No

Coherent scale: No

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Aerycratic
  Mode 3 of: Harmonic Chromatic Ascending
  Mode 4 of: Solatic
  Mode 5 of: Zylatic
  Mode 6 of: Mixolatic
  Mode 7 of: Soratic
  Mode 8 of: Godatic

The name I use for this scale comes from: AllTheScales.org / William Zeitler