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
  
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