Comprehensive Scale Catalog: Intervals
This page is part of Flutopedia's Comprehensive Scale Catalog ... a listing of many (many) tone sequences that can be played on Native American flutes.
This page shows only intervals from the catalog.
The root note of each scale is shown in blue, such as  .
Minor Second Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
  or   or  
Fingerings on Anasazi-7 tuned Native American flutes:
 
Scale steps in semitones: 1
Scale degrees:
in semitones: 0–1
intervals: 1–m2
Root, m2
Pitches starting from C:
C C♯
C D♭
     
Pitch Class Set: {0,1}
Pitch Class Mapping: 3 (Hex 3, Binary 11)
The name I use for this scale comes from: Clint's Invented Name
Major Second Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
 or  or 
Fingerings on Anasazi-7 tuned Native American flutes:
  or 
Scale steps in semitones: 2
Scale degrees:
in semitones: 0–2
intervals: 1–2
Root, 2
Pitches starting from C: C D
Pitch Class Set: {0,2}
Pitch Class Mapping: 5 (Hex 5, Binary 101)
The name I use for this scale comes from: Clint's Invented Name
Minor Third Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
  or or or 
Fingerings on Anasazi-7 tuned Native American flutes:
Scale steps in semitones: 3
Scale degrees:
in semitones: 0–3
intervals: 1–m3
Root, m3
Pitches starting from C:
C D♯
C E♭
 
Pitch Class Set: {0,3}
Pitch Class Mapping: 9 (Hex 9, Binary 1001)
The name I use for this scale comes from: Clint's Invented Name
Major Third Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or or 
Fingerings on Anasazi-7 tuned Native American flutes:
or 
Scale steps in semitones: 4
Scale degrees:
in semitones: 0–4
intervals: 1–3
Root, 3
Pitches starting from C: C E
Pitch Class Set: {0,4}
Pitch Class Mapping: 17 (Hex 11, Binary 10001)
The name I use for this scale comes from: Clint's Invented Name
Perfect Fourth Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or or  
Fingerings on Anasazi-7 tuned Native American flutes:
Scale steps in semitones: 5
Scale degrees:
in semitones: 0–5
intervals: 1–4
Root, 4
Pitches starting from C: C F
Pitch Class Set: {0,5}
Pitch Class Mapping: 33 (Hex 21, Binary 100001)
The name I use for this scale comes from: Clint's Invented Name
Diminished Fifth Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or
Fingerings on Anasazi-7 tuned Native American flutes:
or 
Scale steps in semitones: 6
Scale degrees:
in semitones: 0–6
intervals: 1–d5
Root, d5
Pitches starting from C:
C F♯
C G♭
 
Pitch Class Set: {0,6}
Pitch Class Mapping: 65 (Hex 41, Binary 1000001)
The name I use for this scale comes from: Clint's Invented Name
Perfect Fifth Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or
Fingerings on Anasazi-7 tuned Native American flutes:
or 
Scale steps in semitones: 7
Scale degrees:
in semitones: 0–7
intervals: 1–5
Root, 5
Pitches starting from C: C G
Pitch Class Set: {0,7}
Pitch Class Mapping: 129 (Hex 81, Binary 10000001)
The name I use for this scale comes from: Clint's Invented Name
Minor Sixth Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or
Fingerings on Anasazi-7 tuned Native American flutes:
or 
Scale steps in semitones: 8
Scale degrees:
in semitones: 0–8
intervals: 1–m6
Root, m6
Pitches starting from C:
C G♯
C A♭
 
Pitch Class Set: {0,8}
Pitch Class Mapping: 257 (Hex 101, Binary 100000001)
The name I use for this scale comes from: Clint's Invented Name
Major Sixth Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or
Fingerings on Anasazi-7 tuned Native American flutes:
or 
Scale steps in semitones: 9
Scale degrees:
in semitones: 0–9
intervals: 1–6
Root, 6
Pitches starting from C: C A
Pitch Class Set: {0,9}
Pitch Class Mapping: 513 (Hex 201, Binary 1000000001)
The name I use for this scale comes from: Clint's Invented Name
Minor Seventh Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or
Fingerings on Anasazi-7 tuned Native American flutes:
or  
Scale steps in semitones: 10
Scale degrees:
in semitones: 0–10
intervals: 1–m7
Root, m7
Pitches starting from C:
C A♯
C B♭
 
Pitch Class Set: {0,10}
Pitch Class Mapping: 1025 (Hex 401, Binary 10000000001)
The name I use for this scale comes from: Clint's Invented Name
Major Seventh Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or
Fingerings on Anasazi-7 tuned Native American flutes:
Scale steps in semitones: 11
Scale degrees:
in semitones: 0–11
intervals: 1–7
Root, 7
Pitches starting from C: C B
Pitch Class Set: {0,11}
Pitch Class Mapping: 2049 (Hex 801, Binary 100000000001)
The name I use for this scale comes from: Clint's Invented Name
Octave Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or or
Fingerings on Anasazi-7 tuned Native American flutes:
or
Scale steps in semitones: 12
Scale degrees:
in semitones: 0–12
intervals: 1–8
Root, Octave
Pitches starting from C: C c
Pitch Class Set: {0,12}
Pitch Class Mapping: 4097 (Hex 1001, Binary 1000000000001)
The name I use for this scale comes from: Clint's Invented Name
Minor Ninth Interval
Fingerings on Anasazi-7 tuned Native American flutes:
Scale steps in semitones: 13
Scale degrees:
in semitones: 0–13
intervals: 1–m9
Root, m9
Pitches starting from C:
C c♯
C c♯
Pitch Class Set: {0,13}
Pitch Class Mapping: 8193 (Hex 2001, Binary 10000000000001)
The name I use for this scale comes from: Clint's Invented Name
Major Ninth Interval
Fingerings on Anasazi-7 tuned Native American flutes:
 or
Scale steps in semitones: 14
Scale degrees:
in semitones: 0–14
intervals: 1–9
Root, 9
Pitches starting from C: C d
Pitch Class Set: {0,14}
Pitch Class Mapping: 16385 (Hex 4001, Binary 100000000000001)
The name I use for this scale comes from: Clint's Invented Name
Minor Tenth Interval
Fingerings on Anasazi-7 tuned Native American flutes:
or
Scale steps in semitones: 15
Scale degrees:
in semitones: 0–15
intervals: 1–m10
Root, m10
Pitches starting from C:
C d♯
C d♯
Pitch Class Set: {0,15}
Pitch Class Mapping: 32769 (Hex 8001, Binary 1000000000000001)
The name I use for this scale comes from: Clint's Invented Name
Major Tenth Interval
Scale steps in semitones: 16
Scale degrees:
in semitones: 0–16
intervals: 1–10
Root, 10
Pitches starting from C: C e
Pitch Class Set: {0,16}
Pitch Class Mapping: 65537 (Hex 10001, Binary 10000000000000001)
The name I use for this scale comes from: Clint's Invented Name
Perfect Eleventh Interval
Scale steps in semitones: 17
Scale degrees:
in semitones: 0–17
intervals: 1–11
Root, 11
Pitches starting from C: C f
Pitch Class Set: {0,17}
Pitch Class Mapping: 131073 (Hex 20001, Binary 100000000000000001)
The name I use for this scale comes from: Clint's Invented Name
Diminished Twelfth Interval
Scale steps in semitones: 18
Scale degrees:
in semitones: 0–18
intervals: 1–d12
Root, d12
Pitches starting from C:
C f♯
C f♯
Pitch Class Set: {0,18}
Pitch Class Mapping: 262145 (Hex 40001, Binary 1000000000000000001)
The name I use for this scale comes from: Clint's Invented Name
Perfect Twelfth Interval
Scale steps in semitones: 19
Scale degrees:
in semitones: 0–19
intervals: 1–12
Root, 12
Pitches starting from C: C g
Pitch Class Set: {0,19}
Pitch Class Mapping: 524289 (Hex 80001, Binary 10000000000000000001)
The name I use for this scale comes from: Clint's Invented Name
JI Minor Second Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or
Fingerings on Anasazi-7 tuned Native American flutes:
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: 1
Scale degrees:
in cents: 0–112
intervals: 1–m2
Root, m2
Pitches starting from C:
C C♯
C D♭
Pitch Class Set: {0,1}
Pitch Class Mapping: 3 (Hex 3, Binary 11)
The name I use for this scale comes from: Clint's Invented Name
JI Major Second Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or
Fingerings on Anasazi-7 tuned Native American flutes:
or
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: 2
Scale degrees:
in cents: 0–204
intervals: 1–2
Root, 2
Pitches starting from C: C D
Pitch Class Set: {0,2}
Pitch Class Mapping: 5 (Hex 5, Binary 101)
The name I use for this scale comes from: Clint's Invented Name
JI Minor Third Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or or
Fingerings on Anasazi-7 tuned Native American flutes:
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: 3
Scale degrees:
in cents: 0–316
intervals: 1–m3
Root, m3
Pitches starting from C:
C D♯
C E♭
Pitch Class Set: {0,3}
Pitch Class Mapping: 9 (Hex 9, Binary 1001)
The name I use for this scale comes from: Clint's Invented Name
JI Major Third Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or or
Fingerings on Anasazi-7 tuned Native American flutes:
or
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: 4
Scale degrees:
in cents: 0–386
intervals: 1–3
Root, 3
Pitches starting from C: C E
Pitch Class Set: {0,4}
Pitch Class Mapping: 17 (Hex 11, Binary 10001)
The name I use for this scale comes from: Clint's Invented Name
JI Perfect Fourth Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or or
Fingerings on Anasazi-7 tuned Native American flutes:
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
Scale degrees:
in cents: 0–498
intervals: 1–4
Root, 4
Pitches starting from C: C F
Pitch Class Set: {0,5}
Pitch Class Mapping: 33 (Hex 21, Binary 100001)
The name I use for this scale comes from: Clint's Invented Name
JI Diminished Fifth Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or
Fingerings on Anasazi-7 tuned Native American flutes:
or
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: 6
Scale degrees:
in cents: 0–590
intervals: 1–d5
Root, d5
Pitches starting from C:
C F♯
C G♭
Pitch Class Set: {0,6}
Pitch Class Mapping: 65 (Hex 41, Binary 1000001)
The name I use for this scale comes from: Clint's Invented Name
JI Perfect Fifth Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or
Fingerings on Anasazi-7 tuned Native American flutes:
or
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: 7
Scale degrees:
in cents: 0–702
intervals: 1–5
Root, 5
Pitches starting from C: C G
Pitch Class Set: {0,7}
Pitch Class Mapping: 129 (Hex 81, Binary 10000001)
The name I use for this scale comes from: Clint's Invented Name
JI Minor Sixth Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or
Fingerings on Anasazi-7 tuned Native American flutes:
or
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: 8
Scale degrees:
in cents: 0–814
intervals: 1–m6
Root, m6
Pitches starting from C:
C G♯
C A♭
Pitch Class Set: {0,8}
Pitch Class Mapping: 257 (Hex 101, Binary 100000001)
The name I use for this scale comes from: Clint's Invented Name
JI Major Sixth Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or
Fingerings on Anasazi-7 tuned Native American flutes:
or
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: 9
Scale degrees:
in cents: 0–884
intervals: 1–6
Root, 6
Pitches starting from C: C A
Pitch Class Set: {0,9}
Pitch Class Mapping: 513 (Hex 201, Binary 1000000001)
The name I use for this scale comes from: Clint's Invented Name
JI Minor Seventh Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or
Fingerings on Anasazi-7 tuned Native American flutes:
or
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: 10
Scale degrees:
in cents: 0–1018
intervals: 1–m7
Root, m7
Pitches starting from C:
C A♯
C B♭
Pitch Class Set: {0,10}
Pitch Class Mapping: 1025 (Hex 401, Binary 10000000001)
The name I use for this scale comes from: Clint's Invented Name
JI Major Seventh Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or
Fingerings on Anasazi-7 tuned Native American flutes:
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: 11
Scale degrees:
in cents: 0–1088
intervals: 1–7
Root, 7
Pitches starting from C: C B
Pitch Class Set: {0,11}
Pitch Class Mapping: 2049 (Hex 801, Binary 100000000001)
The name I use for this scale comes from: Clint's Invented Name
JI Octave Interval
Fingerings on most contemporary six-hole pentatonic minor Native American flutes:
or or or
Fingerings on Anasazi-7 tuned Native American flutes:
or
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: 12
Scale degrees:
in cents: 0–1200
intervals: 1–8
Root, Octave
Pitches starting from C: C c
Pitch Class Set: {0,12}
Pitch Class Mapping: 4097 (Hex 1001, Binary 1000000000001)
The name I use for this scale comes from: Clint's Invented Name
JI Minor Ninth Interval
Fingerings on Anasazi-7 tuned Native American flutes:
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: 13
Scale degrees:
in cents: 0–1312
intervals: 1–m9
Root, m9
Pitches starting from C:
C c♯
C c♯
Pitch Class Set: {0,13}
Pitch Class Mapping: 8193 (Hex 2001, Binary 10000000000001)
The name I use for this scale comes from: Clint's Invented Name
JI Major Ninth Interval
Fingerings on Anasazi-7 tuned Native American flutes:
or
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: 14
Scale degrees:
in cents: 0–1404
intervals: 1–9
Root, 9
Pitches starting from C: C d
Pitch Class Set: {0,14}
Pitch Class Mapping: 16385 (Hex 4001, Binary 100000000000001)
The name I use for this scale comes from: Clint's Invented Name
JI Minor Tenth Interval
Fingerings on Anasazi-7 tuned Native American flutes:
or
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: 15
Scale degrees:
in cents: 0–1516
intervals: 1–m10
Root, m10
Pitches starting from C:
C d♯
C d♯
Pitch Class Set: {0,15}
Pitch Class Mapping: 32769 (Hex 8001, Binary 1000000000000001)
The name I use for this scale comes from: Clint's Invented Name
JI Major Tenth Interval
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: 16
Scale degrees:
in cents: 0–1586
intervals: 1–10
Root, 10
Pitches starting from C: C e
Pitch Class Set: {0,16}
Pitch Class Mapping: 65537 (Hex 10001, Binary 10000000000000001)
The name I use for this scale comes from: Clint's Invented Name
JI Perfect Eleventh Interval
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: 17
Scale degrees:
in cents: 0–1698
intervals: 1–11
Root, 11
Pitches starting from C: C f
Pitch Class Set: {0,17}
Pitch Class Mapping: 131073 (Hex 20001, Binary 100000000000000001)
The name I use for this scale comes from: Clint's Invented Name
JI Diminished Twelfth Interval
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: 18
Scale degrees:
in cents: 0–1790
intervals: 1–d12
Root, d12
Pitches starting from C:
C f♯
C f♯
Pitch Class Set: {0,18}
Pitch Class Mapping: 262145 (Hex 40001, Binary 1000000000000000001)
The name I use for this scale comes from: Clint's Invented Name
JI Perfect Twelfth Interval
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: 19
Scale degrees:
in cents: 0–1902
intervals: 1–12
Root, 12
Pitches starting from C: C g
Pitch Class Set: {0,19}
Pitch Class Mapping: 524289 (Hex 80001, Binary 10000000000000000001)
The name I use for this scale comes from: Clint's Invented Name
  
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