Comprehensive Scale Catalog: Seven-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 seven tones per octave and using alternate temperaments.

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

Maqam Bayati

Temperament: 24-Tone Equal Temperament (24TET)
The 24 degrees of this temperament, in cents:
  0–50–100–150–200–250–300–350–400–450–500–550–600–650–700–750–800–850–900–950–1000–1050–1100–1150–1200

Scale steps in semitones: 3–3–4–4–2–4–4

Scale degrees:
  in cents: 0–150–300–500–700–800–1000–1200
  intervals: 1–n2–m3–4–5–m6–m7–8
  Root, Neutral 2nd, Minor 3rd, Perfect 4th, Perfect 5th, Minor 6th, Minor 7th, Octave

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

Pitch Class Set: {0,3,6,10,14,16,20}

Pitch Class Mapping: 1131593 (Hex 114449, Binary 000100010100010001001001)

The name I use for this scale comes from: Maqam World

Scala names: Maqam 'Ushshaq Turki, Urfa, Isfahan, Dastgah-e Shur

Maqam Bayati Shuri

Temperament: 24-Tone Equal Temperament (24TET)
The 24 degrees of this temperament, in cents:
  0–50–100–150–200–250–300–350–400–450–500–550–600–650–700–750–800–850–900–950–1000–1050–1100–1150–1200

Scale steps in semitones: 3–3–4–2–6–2–4

Scale degrees:
  in cents: 0–150–300–500–600–900–1000–1200
  intervals: 1–n2–m3–4–d5–6–m7–8
  Root, Neutral 2nd, Minor 3rd, Perfect 4th, Diminished 5th, Major 6th, Minor 7th, Octave

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

Pitch Class Set: {0,3,6,10,12,18,20}

Pitch Class Mapping: 1315913 (Hex 141449, Binary 000101000001010001001001)

The name I use for this scale comes from: Maqam World

Scala names: Maqam Qarjighar, Bayati Shuri

Maqam Husseini

Temperament: 24-Tone Equal Temperament (24TET)
The 24 degrees of this temperament, in cents:
  0–50–100–150–200–250–300–350–400–450–500–550–600–650–700–750–800–850–900–950–1000–1050–1100–1150–1200

Scale steps in semitones: 3–3–4–4–3–3–4

Scale degrees:
  in cents: 0–150–300–500–700–850–1000–1200
  intervals: 1–n2–m3–4–5–n6–m7–8
  Root, Neutral 2nd, Minor 3rd, Perfect 4th, Perfect 5th, Neutral 6th, Minor 7th, Octave

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

Pitch Class Set: {0,3,6,10,14,17,20}

Pitch Class Mapping: 1197129 (Hex 124449, Binary 000100100100010001001001)

This scale is a mode (rotation) of these other scales:
  Mode 7 of: Arabic Diatonic

The name I use for this scale comes from: Maqam World

Scala names: Maqam Hussaini, Ushaq, Neutral Diatonic Dorian

Arabic Diatonic

Temperament: 24-Tone Equal Temperament (24TET)
The 24 degrees of this temperament, in cents:
  0–50–100–150–200–250–300–350–400–450–500–550–600–650–700–750–800–850–900–950–1000–1050–1100–1150–1200

Scale steps in semitones: 4–3–3–4–4–3–3

Scale degrees:
  in cents: 0–200–350–500–700–900–1050–1200
  intervals: 1–2–n3–4–5–6–n7–8
  Root, Major 2nd, Neutral 3rd, Perfect 4th, Perfect 5th, Major 6th, Neutral 7th, Octave

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

Pitch Class Set: {0,4,7,10,14,18,21}

Pitch Class Mapping: 2376849 (Hex 244491, Binary 001001000100010010010001)

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Maqam Husseini

The name I use for this scale comes from: Scala

Entry on the Map of Native American Flute Tunings page: Maqam Rast / Arabic Diatonic

Scala names: Arabic Diatonic, Maqam Rast, Quasi-equal Heptatonic, Neutral Diatonic Phrygian

Safi al-Din's Maqam `Ussaq

Fingerings on Anasazi-7 tuned Native American flutes:

Temperament: 17-Tone Arabic Pythagorean Temperament (AP17)
The 17 degrees of this temperament, in cents:
  0–90–180–204–294–384–408–498–588–678–702–792–882–906–996–1086–1177–1200
Notes: Scala: 256/243 65536/59049 9/8 32/27 8192/6561 81/64 4/3 1024/729 262144/177147 3/2 128/81 32768/19683 27/16 16/9 4096/2187 1048576/531441 2/1

Scale steps in semitones: 3–3–1–3–3–1–3

Scale degrees:
  in cents: 0–204–408–498–702–906–996–1200
  intervals: 1–2–3–4–5–6–m7–8
  Root, Major 2nd, Major 3rd, Perfect 4th, Perfect 5th, Major 6th, Minor 7th, Octave

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

Pitch Class Set: {0,3,6,7,10,13,14}

Pitch Class Mapping: 25801 (Hex 064C9, Binary 00110010011001001)

This scale is a mode (rotation) of these other scales:
  Mode 2 of:
  Mode 3 of:
  Mode 4 of: Dastgah-e Mahur

The name I use for this scale comes from: Scala

Scala names: Safi al-Din's maqam `Ussaq

Safi al-Din's Maqam Nawa

Temperament: 17-Tone Arabic Pythagorean Temperament (AP17)
The 17 degrees of this temperament, in cents:
  0–90–180–204–294–384–408–498–588–678–702–792–882–906–996–1086–1177–1200
Notes: Scala: 256/243 65536/59049 9/8 32/27 8192/6561 81/64 4/3 1024/729 262144/177147 3/2 128/81 32768/19683 27/16 16/9 4096/2187 1048576/531441 2/1

Scale steps in semitones: 3–1–3–3–1–3–3

Scale degrees:
  in cents: 0–204–294–498–702–792–996–1200
  intervals: 1–2–m3–4–5–m6–m7–8
  Root, Major 2nd, Minor 3rd, Perfect 4th, Perfect 5th, Minor 6th, Minor 7th, Octave

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

Pitch Class Set: {0,3,4,7,10,11,14}

Pitch Class Mapping: 19609 (Hex 04C99, Binary 00100110010011001)

This scale is a mode (rotation) of these other scales:
  Mode 2 of:
  Mode 3 of: Dastgah-e Mahur
  Mode 7 of:

The name I use for this scale comes from: Scala

Scala names: Safi al-Din's maqam Nawa

Safi al-Din's Maqam Abu Salik

Temperament: 17-Tone Arabic Pythagorean Temperament (AP17)
The 17 degrees of this temperament, in cents:
  0–90–180–204–294–384–408–498–588–678–702–792–882–906–996–1086–1177–1200
Notes: Scala: 256/243 65536/59049 9/8 32/27 8192/6561 81/64 4/3 1024/729 262144/177147 3/2 128/81 32768/19683 27/16 16/9 4096/2187 1048576/531441 2/1

Scale steps in semitones: 1–3–3–1–3–3–3

Scale degrees:
  in cents: 0–90–294–498–588–792–996–1200
  intervals: 1–m2–m3–4–d5–m6–m7–8
  Root, Minor 2nd, Minor 3rd, Perfect 4th, Diminished 5th, Minor 6th, Minor 7th, Octave

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

Pitch Class Set: {0,1,4,7,8,11,14}

Pitch Class Mapping: 18835 (Hex 04993, Binary 00100100110010011)

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Dastgah-e Mahur
  Mode 6 of:
  Mode 7 of:

The name I use for this scale comes from: Scala

Scala names: Safi al-Din's maqam Abu Salik

Safi al-Din's Maqam Rast

Fingerings on Anasazi-7 tuned Native American flutes:

Temperament: 17-Tone Arabic Pythagorean Temperament (AP17)
The 17 degrees of this temperament, in cents:
  0–90–180–204–294–384–408–498–588–678–702–792–882–906–996–1086–1177–1200
Notes: Scala: 256/243 65536/59049 9/8 32/27 8192/6561 81/64 4/3 1024/729 262144/177147 3/2 128/81 32768/19683 27/16 16/9 4096/2187 1048576/531441 2/1

Scale steps in semitones: 3–2–2–3–2–2–3

Scale degrees:
  in cents: 0–204–384–498–702–882–996–1200
  intervals: 1–2–3–4–5–6–m7–8
  Root, Major 2nd, Major 3rd, Perfect 4th, Perfect 5th, Major 6th, Minor 7th, Octave

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

Pitch Class Set: {0,3,5,7,10,12,14}

Pitch Class Mapping: 21673 (Hex 054A9, Binary 00101010010101001)

This scale is a mode (rotation) of these other scales:
  Mode 2 of:

The name I use for this scale comes from: Scala

Scala names: Safi al-Din's maqam Rast

Safi al-Din's Maqam Zangulah

Fingerings on Anasazi-7 tuned Native American flutes:

Temperament: 17-Tone Arabic Pythagorean Temperament (AP17)
The 17 degrees of this temperament, in cents:
  0–90–180–204–294–384–408–498–588–678–702–792–882–906–996–1086–1177–1200
Notes: Scala: 256/243 65536/59049 9/8 32/27 8192/6561 81/64 4/3 1024/729 262144/177147 3/2 128/81 32768/19683 27/16 16/9 4096/2187 1048576/531441 2/1

Scale steps in semitones: 3–2–2–2–3–2–3

Scale degrees:
  in cents: 0–204–384–498–678–882–996–1200
  intervals: 1–2–3–4–5–6–m7–8
  Root, Major 2nd, Major 3rd, Perfect 4th, Perfect 5th, Major 6th, Minor 7th, Octave

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

Pitch Class Set: {0,3,5,7,9,12,14}

Pitch Class Mapping: 21161 (Hex 052A9, Binary 00101001010101001)

The name I use for this scale comes from: Scala

Scala names: Safi al-Din's maqam Zangulah

Safi al-Din's Maqam Rahawi

Fingerings on Anasazi-7 tuned Native American flutes:

Temperament: 17-Tone Arabic Pythagorean Temperament (AP17)
The 17 degrees of this temperament, in cents:
  0–90–180–204–294–384–408–498–588–678–702–792–882–906–996–1086–1177–1200
Notes: Scala: 256/243 65536/59049 9/8 32/27 8192/6561 81/64 4/3 1024/729 262144/177147 3/2 128/81 32768/19683 27/16 16/9 4096/2187 1048576/531441 2/1

Scale steps in semitones: 2–3–2–2–2–3–3

Scale degrees:
  in cents: 0–180–384–498–678–792–996–1200
  intervals: 1–2–3–4–5–m6–m7–8
  Root, Major 2nd, Major 3rd, Perfect 4th, Perfect 5th, Minor 6th, Minor 7th, Octave

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

Pitch Class Set: {0,2,5,7,9,11,14}

Pitch Class Mapping: 19109 (Hex 04AA5, Binary 00100101010100101)

The name I use for this scale comes from: Scala

Scala names: Safi al-Din's maqam Rahawi

Safi al-Din's Maqam Husaini

Temperament: 17-Tone Arabic Pythagorean Temperament (AP17)
The 17 degrees of this temperament, in cents:
  0–90–180–204–294–384–408–498–588–678–702–792–882–906–996–1086–1177–1200
Notes: Scala: 256/243 65536/59049 9/8 32/27 8192/6561 81/64 4/3 1024/729 262144/177147 3/2 128/81 32768/19683 27/16 16/9 4096/2187 1048576/531441 2/1

Scale steps in semitones: 2–2–3–2–2–3–3

Scale degrees:
  in cents: 0–180–294–498–678–792–996–1200
  intervals: 1–2–m3–4–5–m6–m7–8
  Root, Major 2nd, Minor 3rd, Perfect 4th, Perfect 5th, Minor 6th, Minor 7th, Octave

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

Pitch Class Set: {0,2,4,7,9,11,14}

Pitch Class Mapping: 19093 (Hex 04A95, Binary 00100101010010101)

This scale is a mode (rotation) of these other scales:
  Mode 7 of:

The name I use for this scale comes from: Scala

Scala names: Safi al-Din's maqam Husaini

Safi al-Din's Maqam Higazi

Temperament: 17-Tone Arabic Pythagorean Temperament (AP17)
The 17 degrees of this temperament, in cents:
  0–90–180–204–294–384–408–498–588–678–702–792–882–906–996–1086–1177–1200
Notes: Scala: 256/243 65536/59049 9/8 32/27 8192/6561 81/64 4/3 1024/729 262144/177147 3/2 128/81 32768/19683 27/16 16/9 4096/2187 1048576/531441 2/1

Scale steps in semitones: 2–2–3–2–3–2–3

Scale degrees:
  in cents: 0–180–294–498–678–882–996–1200
  intervals: 1–2–m3–4–5–6–m7–8
  Root, Major 2nd, Minor 3rd, Perfect 4th, Perfect 5th, Major 6th, Minor 7th, Octave

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

Pitch Class Set: {0,2,4,7,9,12,14}

Pitch Class Mapping: 21141 (Hex 05295, Binary 00101001010010101)

The name I use for this scale comes from: Scala

Scala names: Safi al-Din's maqam Higazi

Dastgah-e Mahur

Temperament: 17-Tone Persian Temperament (Per17)
The 17 degrees of this temperament, in cents:
  0–90–133–204–294–337–408–498–569–631–702–792–835–906–996–1039–1110–1200
Notes: Scala: 256/243 27/25 9/8 32/27 243/200 81/64 4/3 25/18 36/25 3/2 128/81 81/50 27/16 16/9 729/400 243/128 2/1

Scale steps in semitones: 3–3–1–3–3–3–1

Scale degrees:
  in cents: 0–204–408–498–702–906–1110–1200
  intervals: 1–2–3–4–5–6–7–8
  Root, Major 2nd, Major 3rd, Perfect 4th, Perfect 5th, Major 6th, Major 7th, Octave

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

Pitch Class Set: {0,3,6,7,10,13,16}

Pitch Class Mapping: 74953 (Hex 124C9, Binary 10010010011001001)

This scale is a mode (rotation) of these other scales:
  Mode 5 of:
  Mode 6 of:
  Mode 7 of:

The name I use for this scale comes from: Scala, shortened by Clint

Scala names: Dastgah-e Mahur, Rast Panjgah

Dastgah-e Shur

Temperament: 17-Tone Persian Temperament (Per17)
The 17 degrees of this temperament, in cents:
  0–90–133–204–294–337–408–498–569–631–702–792–835–906–996–1039–1110–1200
Notes: Scala: 256/243 27/25 9/8 32/27 243/200 81/64 4/3 25/18 36/25 3/2 128/81 81/50 27/16 16/9 729/400 243/128 2/1

Scale steps in semitones: 2–2–3–3–1–3–3

Scale degrees:
  in cents: 0–133–294–498–702–792–996–1200
  intervals: 1–n2–m3–4–5–m6–m7–8
  Root, Neutral 2nd, Minor 3rd, Perfect 4th, Perfect 5th, Minor 6th, Minor 7th, Octave

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

Pitch Class Set: {0,2,4,7,10,11,14}

Pitch Class Mapping: 19605 (Hex 04C95, Binary 00100110010010101)

This scale is a mode (rotation) of these other scales:
  Mode 3 of: Naghmeh Bayat-e Tork
  Mode 4 of: Dastgah-e Nava

The name I use for this scale comes from: Scala

Scala name: Dastgah-e Shur

Naghmeh Abuata

Temperament: 17-Tone Persian Temperament (Per17)
The 17 degrees of this temperament, in cents:
  0–90–133–204–294–337–408–498–569–631–702–792–835–906–996–1039–1110–1200
Notes: Scala: 256/243 27/25 9/8 32/27 243/200 81/64 4/3 25/18 36/25 3/2 128/81 81/50 27/16 16/9 729/400 243/128 2/1

Scale steps in semitones: 2–3–3–1–3–3–2

Scale degrees:
  in cents: 0–133–337–569–631–835–1039–1200
  intervals: 1–n2–n3–a4–b5–n6–n7–8
  Root, Neutral 2nd, Neutral 3rd, Quarter-sharp 4th, Quarter-flat 5th, Neutral 6th, Neutral 7th, Octave

Pitches starting from C: C D– E– F+ G– A– B– c

Pitch Class Set: {0,2,5,8,9,12,15}

Pitch Class Mapping: 37669 (Hex 09325, Binary 01001001100100101)

The name I use for this scale comes from: Scala, shortened by Clint

Scala names: Naghmeh Abuata, Naghmeh Afshari

Naghmeh Bayat-e Tork

Temperament: 17-Tone Persian Temperament (Per17)
The 17 degrees of this temperament, in cents:
  0–90–133–204–294–337–408–498–569–631–702–792–835–906–996–1039–1110–1200
Notes: Scala: 256/243 27/25 9/8 32/27 243/200 81/64 4/3 25/18 36/25 3/2 128/81 81/50 27/16 16/9 729/400 243/128 2/1

Scale steps in semitones: 3–3–1–3–3–2–2

Scale degrees:
  in cents: 0–204–408–498–702–906–1039–1200
  intervals: 1–2–3–4–5–6–n7–8
  Root, Major 2nd, Major 3rd, Perfect 4th, Perfect 5th, Major 6th, Neutral 7th, Octave

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

Pitch Class Set: {0,3,6,7,10,13,15}

Pitch Class Mapping: 42185 (Hex 0A4C9, Binary 01010010011001001)

This scale is a mode (rotation) of these other scales:
  Mode 2 of: Dastgah-e Nava
  Mode 6 of: Dastgah-e Shur

The name I use for this scale comes from: Scala, shortened by Clint

Scala names: Naghmeh Bayat-e Tork, Naghmeh Dashti

Dastgah-e Homayun

Temperament: 17-Tone Persian Temperament (Per17)
The 17 degrees of this temperament, in cents:
  0–90–133–204–294–337–408–498–569–631–702–792–835–906–996–1039–1110–1200
Notes: Scala: 256/243 27/25 9/8 32/27 243/200 81/64 4/3 25/18 36/25 3/2 128/81 81/50 27/16 16/9 729/400 243/128 2/1

Scale steps in semitones: 2–4–1–3–1–3–3

Scale degrees:
  in cents: 0–133–408–498–702–792–996–1200
  intervals: 1–n2–3–4–5–m6–m7–8
  Root, Neutral 2nd, Major 3rd, Perfect 4th, Perfect 5th, Minor 6th, Minor 7th, Octave

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

Pitch Class Set: {0,2,6,7,10,11,14}

Pitch Class Mapping: 19653 (Hex 04CC5, Binary 00100110011000101)

This scale is a mode (rotation) of these other scales:
  Mode 4 of: Naghmeh Esfahan

The name I use for this scale comes from: Scala

Scala name: Dastgah-e Homayun

Naghmeh Esfahan

Temperament: 17-Tone Persian Temperament (Per17)
The 17 degrees of this temperament, in cents:
  0–90–133–204–294–337–408–498–569–631–702–792–835–906–996–1039–1110–1200
Notes: Scala: 256/243 27/25 9/8 32/27 243/200 81/64 4/3 25/18 36/25 3/2 128/81 81/50 27/16 16/9 729/400 243/128 2/1

Scale steps in semitones: 3–1–3–3–2–4–1

Scale degrees:
  in cents: 0–204–294–498–702–835–1110–1200
  intervals: 1–2–m3–4–5–n6–7–8
  Root, Major 2nd, Minor 3rd, Perfect 4th, Perfect 5th, Neutral 6th, Major 7th, Octave

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

Pitch Class Set: {0,3,4,7,10,12,16}

Pitch Class Mapping: 70809 (Hex 11499, Binary 10001010010011001)

This scale is a mode (rotation) of these other scales:
  Mode 5 of: Dastgah-e Homayun

The name I use for this scale comes from: Scala

Scala name: Naghmeh Esfahan

Dastgah-e Sehgah

Temperament: 17-Tone Persian Temperament (Per17)
The 17 degrees of this temperament, in cents:
  0–90–133–204–294–337–408–498–569–631–702–792–835–906–996–1039–1110–1200
Notes: Scala: 256/243 27/25 9/8 32/27 243/200 81/64 4/3 25/18 36/25 3/2 128/81 81/50 27/16 16/9 729/400 243/128 2/1

Scale steps in semitones: 3–2–2–3–2–2–3

Scale degrees:
  in cents: 0–204–337–498–702–835–996–1200
  intervals: 1–2–n3–4–5–n6–m7–8
  Root, Major 2nd, Neutral 3rd, Perfect 4th, Perfect 5th, Neutral 6th, Minor 7th, Octave

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

Pitch Class Set: {0,3,5,7,10,12,14}

Pitch Class Mapping: 21673 (Hex 054A9, Binary 00101010010101001)

The name I use for this scale comes from: Scala

Scala name: Dastgah-e Sehgah

Dastgah-e Sehgah 2

Temperament: 17-Tone Persian Temperament (Per17)
The 17 degrees of this temperament, in cents:
  0–90–133–204–294–337–408–498–569–631–702–792–835–906–996–1039–1110–1200
Notes: Scala: 256/243 27/25 9/8 32/27 243/200 81/64 4/3 25/18 36/25 3/2 128/81 81/50 27/16 16/9 729/400 243/128 2/1

Scale steps in semitones: 2–3–2–2–3–3–2

Scale degrees:
  in cents: 0–133–337–498–631–835–1039–1200
  intervals: 1–n2–n3–4–b5–n6–n7–8
  Root, Neutral 2nd, Neutral 3rd, Perfect 4th, Quarter-flat 5th, Neutral 6th, Neutral 7th, Octave

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

Pitch Class Set: {0,2,5,7,9,12,15}

Pitch Class Mapping: 37541 (Hex 092A5, Binary 01001001010100101)

The name I use for this scale comes from: Clint's modification of the Scala name to avoid a conflict

Scala name: Dastgah-e Sehgah

Dastgah-e Mokhalif

Temperament: 17-Tone Persian Temperament (Per17)
The 17 degrees of this temperament, in cents:
  0–90–133–204–294–337–408–498–569–631–702–792–835–906–996–1039–1110–1200
Notes: Scala: 256/243 27/25 9/8 32/27 243/200 81/64 4/3 25/18 36/25 3/2 128/81 81/50 27/16 16/9 729/400 243/128 2/1

Scale steps in semitones: 3–1–3–3–2–3–2

Scale degrees:
  in cents: 0–204–294–498–702–835–1039–1200
  intervals: 1–2–m3–4–5–n6–n7–8
  Root, Major 2nd, Minor 3rd, Perfect 4th, Perfect 5th, Neutral 6th, Neutral 7th, Octave

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

Pitch Class Set: {0,3,4,7,10,12,15}

Pitch Class Mapping: 38041 (Hex 09499, Binary 01001010010011001)

The name I use for this scale comes from: Scala, shortened by Clint

Scala names: Dastgah-e Mokhalif, Bayat-e Esfahan

Dastgah-e Chahargah

Temperament: 17-Tone Persian Temperament (Per17)
The 17 degrees of this temperament, in cents:
  0–90–133–204–294–337–408–498–569–631–702–792–835–906–996–1039–1110–1200
Notes: Scala: 256/243 27/25 9/8 32/27 243/200 81/64 4/3 25/18 36/25 3/2 128/81 81/50 27/16 16/9 729/400 243/128 2/1

Scale steps in semitones: 2–4–1–3–2–4–1

Scale degrees:
  in cents: 0–133–408–498–702–835–1110–1200
  intervals: 1–n2–3–4–5–n6–7–8
  Root, Neutral 2nd, Major 3rd, Perfect 4th, Perfect 5th, Neutral 6th, Major 7th, Octave

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

Pitch Class Set: {0,2,6,7,10,12,16}

Pitch Class Mapping: 70853 (Hex 114C5, Binary 10001010011000101)

The name I use for this scale comes from: Scala

Scala name: Dastgah-e Chahargah

Dastgah-e Nava

Temperament: 17-Tone Persian Temperament (Per17)
The 17 degrees of this temperament, in cents:
  0–90–133–204–294–337–408–498–569–631–702–792–835–906–996–1039–1110–1200
Notes: Scala: 256/243 27/25 9/8 32/27 243/200 81/64 4/3 25/18 36/25 3/2 128/81 81/50 27/16 16/9 729/400 243/128 2/1

Scale steps in semitones: 3–1–3–3–2–2–3

Scale degrees:
  in cents: 0–204–294–498–702–835–996–1200
  intervals: 1–2–m3–4–5–n6–m7–8
  Root, Major 2nd, Minor 3rd, Perfect 4th, Perfect 5th, Neutral 6th, Minor 7th, Octave

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

Pitch Class Set: {0,3,4,7,10,12,14}

Pitch Class Mapping: 21657 (Hex 05499, Binary 00101010010011001)

This scale is a mode (rotation) of these other scales:
  Mode 5 of: Dastgah-e Shur
  Mode 7 of: Naghmeh Bayat-e Tork

The name I use for this scale comes from: Scala

Scala name: Dastgah-e Nava

Chromatic

Temperament: 7-Tone Equal Temperament (7TET)
The 7 degrees of this temperament, in cents:
  0–171–343–514–686–857–1029–1200

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

Scale degrees:
  in cents: 0–171–343–514–686–857–1029–1200
  intervals: 1–n2–n3–4–5–n6–n7–8
  Root, Neutral 2nd, Neutral 3rd, Perfect 4th, Perfect 5th, Neutral 6th, Neutral 7th, Octave

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

Pitch Class Set: {0,1,2,3,4,5,6}

Pitch Class Mapping: 127 (Hex 7F, Binary 1111111)

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

Chromatic

Temperament: 7-Tone Overtone Temperament (Over7)
The 7 degrees of this temperament, in cents:
  0–231–435–617–782–933–1072–1200
Notes: Overtone series 7:8: … :14 = 7/7, 8/7, …, 14/7

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

Scale degrees:
  in cents: 0–231–435–617–782–933–1072–1200
  intervals: 1–a2–b4–d5–m6–a6–n7–8
  Root, Quarter 2nd-3rd, Quarter 3rd-4th, Diminished 5th, Minor 6th, Quarter 6th-7th, Neutral 7th, Octave

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

Pitch Class Set: {0,1,2,3,4,5,6}

Pitch Class Mapping: 127 (Hex 7F, Binary 1111111)

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

Lebeng

Temperament: 7-Tone Pelog Temperament (Pelog7)
The 7 degrees of this temperament, in cents:
  0–122–271–571–677–785–947–1200

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

Scale degrees:
  in cents: 0–122–271–571–677–785–947–1200
  intervals: 1–m2–a2–a4–5–m6–a6–8
  Root, Minor 2nd, Quarter 2nd-3rd, Quarter-sharp 4th, Perfect 5th, Minor 6th, Quarter 6th-7th, Octave

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

Pitch Class Set: {0,1,2,3,4,5,6}

Pitch Class Mapping: 127 (Hex 7F, Binary 1111111)

The name I use for this scale comes from: Scala

Scala name: Lebeng

Chromatic

Temperament: 7-Tone Aristoxenus' Enharmonic Temperament (Arist7)
The 7 degrees of this temperament, in cents:
  0–44–89–498–702–740–814–1200
Notes: See [Barbour 1951] and http://www.nonoctave.com/tuning/scales/Ptolemy's_Scale_Catalog.html and [Monzo 2004]. Scale Pattern: 120/120 120/117 120/114 120/90 120/80 120/78 120/76. Author: Aristoxenus of Tarentum, ca. 335 BC.

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

Scale degrees:
  in cents: 0–44–89–498–702–740–814–1200
  intervals: 1–a1–m2–4–5–a5–m6–8
  Root, Quarter-sharp Root, Minor 2nd, Perfect 4th, Perfect 5th, Quarter-sharp 5th, Minor 6th, Octave

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

Pitch Class Set: {0,1,2,3,4,5,6}

Pitch Class Mapping: 127 (Hex 7F, Binary 1111111)

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