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A visual manual to help getting to know your guitar fingerboard
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fretboard topologies 1,117 scales and modes for guitar players
by Nicholas Puryear
Version 1.04 rev120403
Copyright 2010 Nicholas Puryear
All rights reserved.
www.fretboardtopologies.com
This book was composed with Microsoft Word and OpenOffice Writer (free download at OpenOffice.org). Fretboard diagrams were created with the Table function in Word, and scale-note and chord-note dots were created and positioned with the drawing tool and cut-and-paste function in Writer. Permutations of intervallic structures were calculated at http://juliusdavies.ca/andre/permutations.html.
Copyright 2010 Nicholas Puryear. All rights reserved.
fretboard topologies 1,117 scales and modes for guitar players
Every five-note, six-note, and seven-note scale containing an interval no larger than a major third
266 harmonized 7-note scales with chords
Selected 8-note scales
by Nicholas Puryear
Version 1.04 rev120403 Copyright 2010 Nicholas Puryear
foreword
years ago as
my personal guitar and music notebook. Over time, it grew and evolved to its present
Fretboard Topologies boo
to compose, improvise, and explore the instrument. It provides a full accounting of 5-, 6-,
and 7-note scales containing intervals no larger than a major third and selected 8-note
scales, chiefly to account for the Bebop scales and the Diminished Scale.
PDF is the ideal format for this book. You can print out some or all of it, slap it in a 3-ring
binder, mark it up at will, and print clean replacement pages as needed.
guitar-playing friends you think might be interested.
Fretboard Topologies get it. Just click the Download tab at www.fretboardtopologies.com.
Donate tab at the website if you want to help support the effort. The
suggested contribution is $5, but all donations are gratefully accepted.
Lastly, I proofed this book carefully, but like doctors who treat themselves as patients,
authors make lousy proofreaders of their own work. I would be very grateful if you
report misprints, typos, or other errors to [email protected] so I can
correct them in subsequent versions.
contents
Introduction 1
Part 1 (generally useful scales)
Topology 5.1 (2,2,2,3,3) 6
Topology 7.1 (1,1,2,2,2,2,2) 9
Topology 7.2 (1,1,1,2,2,2,3) 17
Topology 7.3 (1,1,1,1,2,3,3) 59
Part 2 (somewhat less useful and in some cases downright useless scales)
Topology 5.2 (1,2,2,3,4) 91
Topology 5.3 (1,1,2,4,4) 104
Topology 5.4 (1,1,3,3,4) 111
Topology 6.1 (1,2,2,2,2,3) 118
Topology 6.2 (1,1,2,2,3,3) 124
Topology 6.3 (1,1,2,2,2,4) 141
Topology 6.4 (1,1,1,2,3,4) 152
Topology 6.5 (1,1,1,3,3,3) 173
Topology 6.6 (1,1,1,1,4,4) 178
Topology 6.7 (2,2,2,2,2,2) 182
Topology 7.4 (1,1,1,1,2,2,4) 184
Topology 7.5 (1,1,1,1,1,3,4) 200
Topology 8.1 (1,1,1,1,2,2,2,2) 207
Topology 8.2 (1,1,1,1,1,2,2,3) 218
Harmonized scale tones 240
Index of scales 279
Blank scale and chord forms 292
Appendix A: I-IV-V cycles of the Pentatonic Minor and its modes 295
Appendix B: One-note alterations of the Major Scale and its modes 298
introduction
This book is based on the concept of musical intervalthe sonic space between any two notes.
The fundamental interval in Western music is the half tone (or semitone), e.g., from C to Db.
Two half tones make up a whole tone, e.g., from C to Dd to D.
Three half tones make up a minor third, e.g., from C to Db to D to Eb.
Four half tones make up a major third, e.g., from C to Db to D to Eb to E natural.
Half tone, whole tone, minor third, and major third are the building blocks of the scales in this book.
Musical intervals can be represented by numbers:
1 = a half tone (the most basic unit; the smallest single step in the 12-tone chromatic scale)
2 = a whole tone (made up of 2 half tones)
3 = a minor third (made up of 3 half tones)
4 = a major third (made up of 4 half tones)
A scale can be shown as a series of numbers representing the sequence of intervals it comprises. No matter how many or how few notes are in a scale, the numbers representing the intervals in that scale must add up to 12.
For example, the C major scale, C D E F G A B C, contains only half tones (which can be represented by 1s) and whole tones (which can be represented by 2s) in this sequence: whole tone, whole tone, half tone, whole tone, whole tone, whole tone, half tone.
The intervallic structure is 2212221, and 2 + 2 + 1 + 2 + 2 + 2 + 1 = 12.
Every major scale, regardless of key, has the same intervallic structure, 2212221.
If you know the intervallic structure of a scale, any scale, you can create it in any key.
Mode or scale? A mode is a scale. When a scale is called a mode, its in reference to its parent scale. Using the C major scale as an example of a parent scale:
Starting and ending on the 1st note, C D E F G A B C, yields the C ionian mode: 2212221.
Starting and ending on the 2nd note, D E F G A B C D, yields the D dorian mode: 2122212.
Starting and ending on the 3rd note, E F G A B C D E, yields the E phrygian mode: 1222122.
Starting and ending on the 4th note, F G A B C D E F, yields the F lydian mode: 2221221.
Starting and ending on the 5th note, G A B C D E F G, yields the G mixolydian mode: 2212212.
Starting and ending on the 6th note, A B C D E F G A, yields the A aeolian mode: 2122122.
Starting and ending on the 7th note, B C D E F G A B, yields the B locrian mode: 1221222
If our example had been, say, the F major scale (F G A Bb C D E F), the modes generated would be G dorian, A phrygian, Bb lydian, C mixolydian, D aeolian, E locrian, and returning to F major (or F ionian).
In conventional Western music, the roles and relationships of the Major Scale and its modes are pretty much fixed, but outside that framework, any scale might be considered a parent scale generating a family of modes.
1
Why topologies?
Topology is a branch of mathematics concerned with, among other things, the deformation of objects in space. It has been said of topologists that they make no distinction between a coffee cup and a doughnutboth are 3-dimensional objects with one hole in them. In this book, I use topology as a metaphor and an organizing principle.
How so?
Well, what do the intervallic structures of the Major Scale and all its modes have in common? Regardless of the order of arrangement, each has the same topology. Each comprises two half tones and five whole tones. In our numeric nomenclature, thats two 1s and five 2s. As shown on the right, calculating all possible permutations of 1,1,2,2,2,2,2 yields 21 unique sequenceswhich can be seen as representing 21 seven-note scales containing no major or minor third, belonging to three families:
Seven unique sequences representing the Major Scale (2212221) and its six modes
Seven unique sequences representing the Melodic Minor Scale (2122221) and its six modes
Seven unique sequences representing the Neapolitan Major Scale (1222221) and its six modes
Note: Throughout this book, a numeric sequence separated by commas, e.g., 1,1,2,2,2,2,2, represents a topology, which generates permutations; the same numeric sequence without commas, i.e., 1122222, represents an individual scale, which generates a family of modes.
Whats in this book?
Seven-note (heptatonic) scales
Every permutation of combinations of seven intervals up to a major third the sum of which equals 12:
Topology 7.1 1,1,2,2,2,2,2 (7-note scales with no thirds)
Topology 7.2 1,1,1,2,2,2,3 (7-note scales with 1 minor third)
Topology 7.3 1,1,1,1,2,3,3 (7-note scales with 2 minor thirds)
Topology 7.4 1,1,1,1,2,2,4 (7-note scales with 1 major third)
Topology 7.5 1,1,1,1,1,3,4 (7-note scales with a minor and major third)
Topologies 7.17.3 comprise 266 unique scales and modes derived from 38 parent scales. These 266 scales are, for the most part, interesting and usefulnot only as scales, but also for the chords that can be generated by harmonizing each scale tone.
Topology 7.4 produced, in my opinion, only a few useful or interesting scales. Topology 7.5 comprises five half tones, a major third, and a minor third. Five consecutive half tones is half a chromatic scale. IMHO, a lot of the scales in topology 7.5 arent very useful or musically interesting, but Ive included them for the sake of providing a complete accounting. Plus I figure you can best judge for yourself whats useful or interesting to you.
2
Selected chords derived from 7-note scales
The first 38 parent scales in this book (topologies 7.17.3) are accompanied by a page of selected chords associated with each scale tone.
For simplicity and economy of space, all chord samples are named off the 6th string and tightly voiced. The chord forms do not identify fret by Roman numeral; I assume you know 8th fret 6th string is C; 10th fret 6th string is D; etc.
The selected chords are just a starting point. I leave the many possible inversions and transpositions to you. Theres a blank chord form in the back of the book that you can print out for that purpose.
As is the case throughout the book, all scale harmonizations are based on a tonic or root note of C.
Wherever the same chord form (e.g., m7+5) is associated with more than one note in the scale, Ive diagrammed the first instance and then noted the others in parentheses.
The other 7-note scales do not have a page of chord forms, nor do the 5-note, 6-note, and 8-note scales.
Six-note (hexatonic) scales
Every permutation of combinations of six intervals up to a major third the sum of which equals 12:
Topology 6.1 1,2,2,2,2,3 (6-note scales with 1 minor third)
Topology 6.2. 1,1,2,2,3,3 (6-note scales with 2 minor thirds)
Topology 6.3 1,1,2,2,2,4 (6-note scales with 1 major third)
Topology 6.4 1,1,1,2,3,4 (6-note scales with 1 minor and 1 major third)
Topology 6.5 1,1,1,3,3,3 (6-note scales with 3 minor thirds)
Topology 6.6 1,1,1,1,4,4 (6-note scales with 2 major thirds)
Topology 6.7 2,2,2,2,2,2 (the Whole Tone Scale)
Of the 6-note scales, only topologies 6.16.4 include a few useful or interesting scales. Quite a few of them are just ordinary pentatonic scales with an extra note or conventional 7-note scales with one note omitted.
Topology 6.5 includes the Augmented Scale (313131) and its one mode (131313). Topology 6.6 is included only to provide a complete accounting of possible 6-note scales. Topology 6.7 is the Whole Tone Scale.
Five-note (pentatonic) scales
Every permutation of combinations of five intervals up to a major third the sum of which equals 12, except 2,2,2,2,4 (Whole Tone Scale with one note missing):
Topology 5.1 2,2,2,3,3 (5-note scales with 2 minor thirds)
Topology 5.2 1,2,2,3,4 (5-note scales with 1 minor and 1 major third)
Topology 5.3 1,1,2,4,4 (5-note scales with 2 major thirds)
Topology 5.4 1,1,3,3,4 (5-note scales with 1 major and 2 minor thirds)
Topology 5.1 comprises two families of pentatonic scales (10 scales total). The first includes the pentatonic minor and its modesscales known to just about every rock and blues player on the planet. The second family includes the pentatonic lydian and its modes, which can add interest to solos when mixed with the pentatonic minor and its modes.
3
Topologies 5.2 and 5.3 include pentatonic scales that are redacted modes (e.g., the Phrygian mode with no 3rd and 6th scale tones; the Lydian mode with no 2nd and 5th scale tones). Topology 5.4 is included only to provide a full accounting of the possible 5-note scales.
Eight-note (octatonic) scales
Of the possible 8-note topologies, Ive included only two:
Topology 8.1 1,1,1,1,2,2,2,2 (8-note scales with no major or minor third)
Topology 8.2 1,1,1,1,1,2,2,3 (8-note scales with a minor third)
Topology 8.1 yields the Diminished scale (21212121) and the Bebop scales, which are conventional 7-note scales with an added note. At best, topology 8.2 yields some chromatically embellished pentatonics. Other possible 8-note topologies (e.g., 1,1,1,1,1,1,2,4 and 1,1,1,1,1,1,3,3) yield excessively chromatic scales and are not included.
Page layouts
Parent scales
Numbered parent scales are plotted the length of 24 frets in the key of C. I mapped out the parent scales and all their modes in Part 1, but in Part 2, I generally mapped out just the parent scale or the parent scale and a few modes. In many cases, choosing which scale in a family to use as the parent scale was arbitrary.
Modes on the parent-scale pages are plotted in the articulations easiest for me to play. I have relatively small hands, and I favor horizontal scale patterns across two octaves with 3-fret stretches. Scale diagrams throughout the book reflect that limitation. Feel free to come up with your own best articulations. The scale diagrams give no indication which finger should play which note. You should be able to work out your own best solutions.
Numbering of scales is according to the index of scales at the back of the book, which I used as a guide in its compilation.
A blank scales page is included at the end of the book.
Note on scale names: Many scales are known by more than one name. When I could find names for some of the more unusual scales, I used them. However, I made no effort to determine, for example, whether Hungarian Major is more standard nomenclature than Lydian dominant #2, Mixolydian #9 #11, Lydian #2 b7, or Mixolydian #2#4, though all refer to the same sequence of intervals (3121212). Nor did I research non-English scales names (Japanese, Indian, Balinese, etc).
Chords
The first thirty-eight 7-note parent scales (Part 1) include a selection of chords for each scale tone.
All of the selected chords are named off the 6th string and usually voiced as tightly as possible. These chords are
just a starting point, i.e., there are a lot of ways to make a C7 chord. I acknowledge that some of the chord names may be nonstandard, but thats the way I notate, understand, and use them. Wherever the same chord form (e.g., m7) is associated with more than one note in the scale, Ive shown the first instance and then noted the others in parentheses. Layouts of the 5-note, 6-note, and 8-note scales do not include chord forms; neither do the 7-note scales containing major thirds.
A blank chords page is included at the end of the book.
I hope you find this book useful. If you have any questions, comments, or suggestions, please feel free to email me at [email protected] or [email protected].
4
Part 1: Generally useful scales
Parent scales and all their modes are mapped in this section.
Seven-note scales include a selection of chords.
5
Topology 5.1 (2,2,2,3,3) 5-note scales with three whole tones and two minor thirds
6
1. Pentatonic Minor: 32232* I used the pentatonic minor as the parent scale of this family because I
think its the pattern most familiar to most guitar players.
2. Pentatonic Major 5. Ritusen
III
V
VII
VIII
X
3. Yo
XII
XV
XVII
XX 4. Man Gong
XXII
XXIV
* Intervallic structure, ie, the number of half-steps (semitones) between notes. Roman numerals = fret numbers.
7
6. Pentatonic Lydian: 22233* with a flatted 5th) Im sure there are many ways to use the pentatonic lydian (a name I
made up), but for a start, try it as a substitute for the 2nd degree of the pentatonic minor. For example, in a blues in A,where you might ordinarily use the A pentatonic minor, try interspersing C pentatonic lydian.
7. 22332 10. 32223
III
V
VII
VIII
X
8. 23322
XII
XV
XVII
XX 9. 33222
XXII
XXIV
* Intervallic structure, ie, the number of half-steps (semitones) between notes. Roman numerals = fret numbers.
8
Topology 7.1 (1,1,2,2,2,2,2) 7-note scales with two half tones and five whole tones
9
11. The Major Scale (Ionian Mode): 2212221*
12. Dorian 15. Mixolydian
III
V
VII
VIII
X 13. Phrygian 16. Aeolian
XII
XIII
XV
XVII
14. Lydian 17. Locrian
XX
XXII
XXIV
* Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates Pentatonic Minor 32232 Incorportes Pentatonic Lydian 22233
10
Selected C Major Scale chords (2212221)* C6 (F) C7 (F) C9 (F) C6/9 (F) D119 (G,A)
Dm6 Dm7 (E, A) Dm911 (A) Dm11 (E, A, B) Dm6/9
Em7+5 (A, B) Emb9 F+11 F+11b5 F7b5
G9 G11 G13 Bm7b5 Bm7b5b13
Bm7 (D, E, A)
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
11
18. Melodic Minor (Jazz Minor): 2122221*
19. Dorian b2 22. Mixolydian b6
III
V
VII
VIII
X
20. Lydian #5 23. Semilocrian
XII
XV
XVII
XX 21. Lydian b7 24. Superlocrian
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates pentatonic minor 32232 Incorportes lydian pentatonic 22233
12
Selected C Melodic Minor chords*** Cm6 (D) Cm6/9 C7+9 Dm7 Dmb9
Eb6/9 (F) Eb7b5 Eb7+5 F+11b5 (Eb) F+11
F9 (G) F13 F6/9 G11 G7+5
G119 (A) Am911 Am7b5 Am7b5b13 B7b9
B+9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
13
25. Neapolitan Major: 1222221*
26. Leading Whole Tone 29. Major Locrian
III
V
VII
VIII
X
27. Lydian #5 b7 30. Semilocrian b4
XII
XV
XVII
XX 28. Lydian b6 b7 31. Superlocrian bb3
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates lydian pentatonic 22233
14
Selected C Neapolitan Major chords* Cm7 Cm6 Cmb9 Db9 (all but C) Db7b5
Db7+5 Db7b5 (all but C) Db7+5 (all but C) Eb6/9 F9
Am7b5 Am7b5b13 Am7+5 Am9 A+9
B7b9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
15
[page intentionally blank]
16
Topology 7.2 (1,1,1,2,2,2,3) 7-note scales with three half tones, three whole tones, and one minor third
17
32. Neapolitan Minor: 1222131*
33. Lydian #6 36. Locrian #3
III
V
VII
VIII
X
34. Mixolydian #5 37. Ionian #2
XII
XV
XVII
XX 35. Hungarian Gypsy 38. Ultralocrian bb3
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates lydian pentatonic 22233
18
Selected C Neapolitan Minor chords*
C7+9 Db7 (Ab) Db9 Db7b5 Eb9
Eb11 (G) Eb119 Eb13 Eb7+5 (G) Eb6/9 (B)
Fm7b5 Fm7b5b13 Fm7+5 G7b5 G7b9
Abm6 Ab7+9 B+11b5
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
19
39. Harmonic Major: 2212131*
40. Dorian b5 43. Mixolydian b2
III
V
VII
VIII
X
41. Phrygian b4 44. Lydian #2 #5
XII
XV
XVII
XX 42. Lydian b3 45. Locrian b7
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates pentatonic minor 32232
20
Selected C Harmonic Major chords* C C7 C7+5 C9 Dm6 (B)
Dm6/9 Dm7b5 D+11b5 D119 Dm11
Dm911 Em7 Em7+5 E+9 Fmb57 (Ab)
F7+9 Fm6 G7b9 G11 G13
Ab7b5 Ab7+9 Bm6+5 Dm7 (E)
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
21
46. Harmonic Minor: 2122131*
47. Locrian #6 50. Phrygian #3
III
V
VII
VIII
X
48. Ionian #5 51. Lydian #2
XII
XV
XVII
XX 49. Romanian 52. Ultralocrian
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
22
Selected C Harmonic Minor chords*
C7+9 Dm7 (F) Dm7b5 (F) Dm11 Dm6 (B)
D (F, Ab, B) Eb7 Eb6/9 F+11b5 F+11
Fm6 (Ab) Fm6/9 Fm7 G11 G7+5
Ab7 Ab7b5 Ab7+9 Ab6+9 (B) Bm6+5
Eb9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
23
53. Hungarian Major: 3121212*
54. Superlocrian bb6bb7 57. Melodic minor #5
III
V
VII
VIII
X
55. Harmonic minor b5 58. Dorian b2#4
XII
XV
XVII
XX 56. Superlocrian #6 59. Lydian augmented #3
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
24
Selected C Hungarian Major chords*
Cm6 (D#, A) Cm7 (A) Cm7b5 (F#, A) C+9 (F#) C (D, F#)
C13 (F#) C6+9 (D#, F#) C7b5 (F#) D#6 Em7b5
F#7b9 F#m6 (G) Gm6+5 Gm6/9 Amb9 (D#)
Bb+11b5
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
25
60. Phrygian #4: 1231122*
61. Lydian #3 64. Locrian #7
III
V
VII
VIII
X
62. Mixolydian #2 65. Ionian #6
XII
XV
XVII
XX 63. Aeolian #1 66. Dorian #5
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates pentatonic minor 32232 Incorporates lydian pentatonic 22233
26
Selected C Phrygian #4 chords* Cm7 Cm7b5 Cm7b5b13 Cmb9 Cm7+5
Db+11b5 (F#) Db+11 (F#) Ebm11 (Bb) Eb+9 Eb13
Ebm6 Eb6+9 F#6/9 Gm7b5 Ab9
Ab11 Ab119 Ab7 Bbm911 Bbm7
Bbm6 Bbm6+5 Bbm6/9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
27
67. Ionian b2: 1312221*
68. Dorian b1 71. Mixolydian b5
III
V
VII
VIII
X
69. Phrygian b7 72. Aeolian b4
XII
XV
XVII
XX 70. Lydian b6 73. Locrian b3
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates lydian pentatonic 22233
28
Selected C Ionian b2 chords* C7 (F) Db7 Db7b5 Db+9 (A) Db7b5 (G)
Db7+5 (A) Dbm7 (A) Dbm7b5b13 Db7 b5+9 Dbm7+5 (A)
Db7+9 Em6 Em6+5 Emb9 G9
G13 G+11b5 G119 G6/9 Am7
Am9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
29
74. Lydian b2: 1321221*
75. Mixolydian b1 78. Ionian b5
III
V
VII
VIII
X
76. Aeolian b7 79. Dorian b4
XII
XV
XVII
XX 77. Locrian b6 80. Phrygian b3
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates pentatonic minor 32232 Incorporates lydian pentatonic 22233
30
Selected C Lydian b2 chords* C7 C7b5 Dbm7 Dbm7b5 (F#) Dbm7b5b13
Dbm7+5 Em6/9 F#m7 (A) F#mb9 G6/9
G7 G+11b5 A9 A13 A6/9
Am6 (E) Am9 A+9 B119 Em6+5
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
31
81. Lydian b3#5: 2132121*
82. 1321212 85. 1212132
III
V
VII
VIII
X
83. 3212121 86. 2121321
XII
XV
XVII
XX 84. 2121213 87. 1213212
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
32
Selected C Lydian b3#5 chords* C+11b5 (F#, A) Cmb57 (Eb, A) Cm6 (Eb, F#, A) Cm6+5 (Eb, F#) Cm6/9 (F#, A)
D7b5 (G#) D7b9 (G#, B) D13 (B) Eb (F#, A) G#m7 (B)
G#m7b5 G#+9 (B) Bmb9 Bm6 B6+9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
33
88. Scala Enigmata: 1322211* Some sources show the F# as an F natural in the descending articulation of this scale.
89. 3222111 92. 2111322
III
V
VII
VIII
X
90. 2221113 93. 1113222
XII
XV
XVII
XX 91. 2211132 94. 1132221
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates pentatonic minor 32232 Incorporates lydian pentatonic 22233
34
Selected C Scala Enigmata chords* C7b5 C7b5 (F#) C7+5 (G#) C7b9 Dbm6
Dbm11 (G#) Dbm7 E+11b5 E+11 E6/9
F#11 (G#) F#119 (G#) F#9 G#+9 G#m7+5 (A#)
G#m911 G#9 A#m7 A#m7b5 A#m7b5b13
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
35
95. 2122311*
96. 1223112 99. 3112122
III
V
VII
VIII
X
97. 2231121 100. 1121223
XII
XV
XVII
XX 98. 2311212 101. 1212231
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates pentatonic minor 32232
36
Selected C 2122311 chords* Cm7 (G) Cm911 Cm11 (D, G) C7+9 C119 (F)
Dm7+5 (G) Dm6 Dm6+5 Eb6 Eb7
Eb7+5 Eb6/9 (A#) Eb9 F+11 F+11b5
G11 G7+5 G+9 B7b5 B7+9
B7 b5+9
*Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
37
102. 1231221*
103. 2312211 106. 2211231
III
V
VII
VIII
X
104. 3122112 107. 2112312
XII
XV
XVII
XX 105. 1221123 108. 1123122
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
38
Selected C 1231221 chords* Cm7 Cm7b5 Cm6 (F#) Cmb9 (F#) C (Eb, F#, A)
Db119 Eb+9 (A) Ebm7b5 (A) Ebm7b5b13 Ebm7+5
Ebm6+5 Eb7b5 (A) Eb7+5 Eb6+9 (A) G7b5
G7+5 A9 Am6 Am9 Am6/9
B7b9 B9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
39
109. 1321122*
110. 3211221 113. 1221321
III
V
VII
VIII
X
111. 2112213 114. 2213211
XII
XV
XVII
XX 112. 1122132 115. 2132112
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Supports Lydian Pentatonic 22233
40
Selected C 1321122 chords* C7b5 (F#) C7+5 (Ab) C7b9 (F#) Dbm6 Dbm7
Dbmb57 (G) Em6 (G, Bb) Em6+5 (Bb) Em6/9 (Bb) E+11b5
E6/9 E6+9 F#9 Ab9 Ab9
Ab11 Bbm7+5 Bbm9 Bbm7b5 Bbm7b5b13
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
41
116. 2211123*
117. 2111232 120. 1232211
III
V
VII
VIII
X
118. 1112322 121. 2322111
XII
XV
XVII
XX 119. 1123221 122. 3221112
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates Pentatonic Minor 32232 Incoporates Pentatonic Lydian 22233
42
Selected C 2211123 chords* C6/9 (F) C6 C+11 C+11b5 D+9
D11 D119 (E, G) Dm7 (A) Dm11 (E, A) Em7+5 (Gb, A)
F7 Gbm7b5 Gbm7b5 Gbm7b5b13 Am6
Am6+5 Am7 (D)
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
43
123. 1222311*
124. 2223111 127. 3111222
III
V
VII
VIII
X
125. 2231112 128. 1112223
XII
XV
XVII
XX 126. 2311122 129. 1122231
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates pentatonic minor 32232 Incorporates lydian pentatonic 22233
44
Selected C 1222311 chords* Cm7 Cm7 Cm11 (G) Cmb9 (A#) Db7b5 (B)
Db6/9 (Eb) Db7b5 Db9 (Eb) Db13 (Eb) Eb7+5 (G)
Eb6 Eb9 Eb6/9 F119 Gm7+5
G+9 Gm7b5 Gm7b5b13 A#m6 A#m6/9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
45
130. 2112231*
131. 1122312 134. 2312112
III
V
VII
VIII
X
132. 1223121 135. 3121122
XII
XV
XVII
XX
133. 2231211 136. 1211223
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
46
Selected C 2112231 chords* C7b5 C7b5+9 C7+9 D7b5 (G#) D9
D13 D7b9 Ebm6 (B) Ebm6+5 E7
E7+5 E9 (C) E7+5 (G#) E9 F#+11b5
F#119 G#m7 G#m7b5 G#m7b5b13 G#m7+5
G#+9 Bm6 Bmb9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
47
137. 1112232*
138. 1122321 141. 2321112
III
V
VII
VIII
X
139. 1223211 142. 3211122
XII
XV
XVII
XX
140. 2232111 143. 2111223
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates pentatonic minor 32232 Incorporates lydian pentatonic 22233
48
Selected C 1112232 chords* Cm7 (G) C119 (F) Cm911 Cmb9 Cm11 (D, G)
Db7 Db7b5 Db6/9 Db+11b5 Dm7
Dm7+5 (G) Eb6 (A#) Eb7 Eb9 Eb6/9
Gm7b5 Gm7b5b13 A#m6/9 A#6/9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
49
144. 1211232*
145. 2112321 148. 2321211
III
V
VII
VIII
X
146. 1123212 149. 3212112
XII
XV
XVII
XX 147. 1232121 150. 2121123
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates pentatonic minor 32232
50
Selected C 1211232 chords*
C+9 Cm7 Cm11 (G) Cmb9 C11
C7b9 (Eb) Db (E, G, A#) Db6/9 Db7b5+9 Dbm6 (E, G)
Db7+9 Db+11b5 (A#) Db7b5 Eb6/9 Eb9
Em6+5 (G) F119 Gm7b5 Gm7+5 A#+11
A#m6 A#m6/9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
51
151. 1121232*
152. 1212321 155. 2321121
III
V
VII
VIII
X
153. 2123211 156. 3211212
XII
XV
XVII
XX
154. 1232112 157. 2112123
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates pentatonic minor 32232
52
Selected C 1121232 chords* C9 C119 (D) C11 C7b9 Db (E, G, A#)
Db7b5+9 Dbm6 (E) Db7 Db7b5 Db7+9
Dm7 Dm7+5 Dm911 Dm11 (G) Em7b5 (G)
Em7b5b13 Gm6 (A#) A#6/9 A#m6/9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
53
158. 2211213*
159. 2112132 162. 2132211
III
V
VII
VIII
X
160. 1121322 163. 1322112
XII
XV
XVII
XX 161. 1213221 164. 3221121
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates lydian pentatonic 22233
54
Selected C 2211213 chords* C+11b5 C6/9 Dm7b5 (Gb) Dm7 Dm9 (Gb)
D+9 D7b5 (Ab) E7b9 (Ab) E11 E7+5 (Ab)
E11 E119 F6 F7 F7+9
F7+9 (A) Fm6 (A) Fmb9 Gbm7 Gbm7b5b13
Gbm7b5 Ab13 Am6+5
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
55
165. 2212113*
166. 2121132 169. 1132212
III
V
VII
VIII
X
167. 1211322 170. 1322121
XII
XV
XVII
XX 168. 2113221 171. 3221211
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates pentatonic minor 32232
56
Selected C 2212113 chords* C6/9 (F) C6 (F) Dm7 (A) Dm7b5 Dm11 (E, A)
Dm911 Em7 Em7+5 (A) E7b9 F9
Fm6/9 F7+9 (A) F7 F7+9 Ab7b5
Ab7+5
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
57
[page intentionally blank]
58
Topology 7.3 (1,1,1,1,2,3,3) 7-note scales with 4 half tones, 1 whole tone, and 2 minor thirds
59
172. Hungarian Minor: 2131131*
173. Oriental 176. Double harmonic
III
V
VII
VIII
X
174. Ionian augmented #2 177. Lydian #2 #6
XII
XV
XVII
XX 175. Locrian bb3 bb7 178. Ultraphrygian
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates pentatonic minor 32232
60
Selected C Hungarian Minor chords*
Cmb57 (Ab) Cm7 (Ab7+9) D7b5 (Ab) D11 D13
D7b9 Eb7 Eb7+5 (G) Eb7+9 (Ab) Ebm6 (B)
Ebm6+5 (B) F#+11b5 G7 (Ab) Abm7 Abm7b5
Ab+9 B6 B6+9 Bmb9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
61
179. 1321131*
180. 3211311 183. 1311321
III
V
VII
VIII
X
181. 2113113 184. 3113211
XII
XV
XVII
XX 182. 1131132 185. 1132113
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates pentatonic minor 32232
62
Selected C 1321131 chords*
C7 C7b5 (G) C7+5 Dbm7 Dbm7b5
Dbm7 Dbm7b5 Dbm11 (Ab) E6 E6+9
Em6 Em6+5 E6/9 Em6/9 F#119
Ab7+9 Abm7 Abm7+5 Ab7+5 Ab+9
*Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
63
186. 1231131*
187. 2311311 190. 1311231
III
V
VII
VIII
X
188. 3113112 191. 3112311
XII
XV
XVII
XX 189. 1131123 192. 1123113
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates pentatonic minor 32232
64
Selected C 1231131 chords*
Cm7 (Ab7+9) Cm7b5 Cmb9 Db119 Eb7+5
Ebm11 (Ab) Ebm6 Ebm6+5 Eb+9 (Ab) Eb11 (Ab)
Eb13 Ebm7+5 F#+11b5 F#+11 G7 (Ab)
G7b5 Abm7 Ab7 Ab7+9 B6
B6/9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
65
193. 1111233*
194. 1112331 197. 2331111
III
V
VII
VIII
X
195. 1123311 198. 3311112
XII
XV
XVII
XX 196. 1233111 199. 3111123
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates lydian pentatonic 22233
66
Selected C 1111233 chord
C 6/9 Cm6 (Eb, F#, A) Cm6/9 C (Eb, F#, A) C6+9 (A)
C+11b5 D7 D9 D7b9 D7
Ebm7 Ebm7b5 Ebmb57 E119 F#m6+5
F#m7 F#m7b5 F#m7b5b13 F#m7+5 A6
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
67
200. 1111323*
201. 1113231 204. 3231111
III
V
VII
VIII
X
202. 1132311 205. 2311113
XII
XV
XVII
XX 203. 1323111 206. 3111132
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates pentatonic minor 32232
68
Selected C 1111323 chords*
C6 C 6/9 C6+9 Cm6 Cm6/9
Cmb9 Dbm b57 D119 Eb7 Eb7b5
Em6 Em6+5 Em7+5 Em11 (A) G+11
G+11b5 Am7 Am7b5 A7b5 A+9
A11
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
69
207. 1111332*
208. 1113321 211. 3321111
III
V
VII
VIII
X
209. 1133211 212. 3211113
XII
XV
XVII
XX 210. 1332111 213. 2111133
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates lydian pentatonic 22233
70
Selected C 1111332 chords* Cmb9 Cm7 C9 C+9 C7b9 (Eb)
Dbm6 (E, G) Db (E, G, Bb) Dbm6/9 (Bb) Dbmb57 (E) Db+11b5 (Bb)
D119 Eb6 Eb7 Em6+5 (G) Em7
Em7b5 Em7b5b13 Em7+5 Bb6/9 Bb6+9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
71
214. 1112133*
215. 1121331 218. 1331112
III
V
VII
VIII
X
216. 1213311 219. 3311121
XII
XV
XVII
XX 217. 21133111 220. 3111213
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
72
Selected C 1112133 chords*
Cm6 (Eb, Gb, A) Cm6/9 (Eb) C+11b5 (Eb) Db7 (D) Db7+5
Db9+5 Dmb9 D7+9 (Gbm7) Dm7 D7b9 (F)
D+9 D7 Ebm7 Ebm7b5 Ebmb57 (Gb)
Eb (Gb, A) F6 F6+5 (A) F7+5 Gbm6+5 (A)
A6+9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
73
221. 1112313*
222. 1123131 225. 3131112
III
V
VII
VIII
X
223. 1231311 226. 1311123
XII
XV
XVII
XX 224. 2313111 227. 3111231
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
74
Selected C 1112313 chords*
Cm6 (F) Cm6+5 (F) Cm6/9 Db7 Db7+5
Db9+5 Dm7 (F) Dm7b5 Dm7 Dmb57 (A7b5+9)
Eb+11b5 F6 (G#) F6+5 F6+9 Fm7+5
F+9 F7+5 A7 A7b5 A7+5
A7+9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
75
228. 1113123*
This scale lends itself more to vertical (up-down the neck) than horizontal (across the neck) articulation; you should feel free to develop patterns best suited to your own style of playing.
228. alternative 232. alternative
III
V
VII
VIII
X
XII
XV
XVII
XX 232. 1231113
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
76
Selected C 1113123 chords*
Cm6 (F#) Cmb9 (F#) Cm6/9 C (F#, A) C+11
C+11b5 D7b9 D11 (A) D7 Ebm7 (A)
Ebm7b5 (A) Eb7b5+9 Eb6+9 (A) Eb7b5 Eb+9 (A)
Ebm6 (F#,A) F#m6+5 Am11
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
77
235. 1113132*
236. 1131321 239. 1321113
III
V
VII
VIII
X
237. 1313211 240. 3211131
XII
XV
XVII
XX 238. 3132111 241. 2111313
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
78
Selected C 1113132 chords*
Cm7 (Eb) Cm7b5 Cmb9 D7+5 D7+5
Eb7+9 Ebm6 (Bb) Eb+9 Eb7+9 (Gm7) Eb7
Eb7+9 Eb6 (F#) Eb6+9 (Bb) Bb6+5 Bbm6/9
Bb6/9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
79
242. 1113213
242. alternative 246. alternative
III
V
VII
VIII
X
XII
XV
XVII
XX 246. 2131113
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
80
Selected C 1113213 chords*
Cm6 (Eb, F#, A) Cm6+5 (F#) Cm6/9 (F#) C+11b5 (F#) D7
D7b5 (A) D7b9 (G#) D7b5 (G#) Ebm7 Ebm7b5
Ebmb57 (A) Ebm11 Eb (F#, A) F#+11 G#11
F#m6 A6+9 A7 A7+9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
81
249. 1113312*
250. 1133121 253. 3121113
III
V
VII
VIII
X
251. 1331211 254. 1211133
XII
XV
XVII
XX 252. 3312111 255. 2111331
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
82
Selected C 1113312 chords*
Cm6 (Eb, F#, A) Cm6/9 Cm7 Cm7b5 (Eb) C+11b5
C (Eb, A) D7b9 D7+5 D7 D7+5 (Bb)
Ebm7 Ebm7b5 Ebm7 Ebm6 (F#) F#6
F#6+5 F#m6+5 F#6+9 (A) Bb7+9 Bb9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
83
256. 1121133*
257. 1211331 260. 1331121
III
V
VII
VIII
X
258. 2113311 261. 3311211
XII
XV
XVII
XX 259. 1133112 262. 3112113
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers. Incorporates lydian pentatonic 22233
84
Selected C 1121133 chords*
C6/9 C+11b5 Db7 (F) Db7+5 (F) Db7+9
Dm7 (Gb) Dm7 (Gb) D9 D+9 D7 (F)
E119 Gbm7+5 Gbm7b5 Am6 Am6+5
A6+9 A6 A6+5
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
85
263. 3131121*
This scale lends itself more to vertical (up-down the neck) than horizontal (across the neck) articulation; you can develop patterns best suited to your own style of playing.
264. 1311213 269. 1313112
III
V
VII
VIII
X
266. 1121313
XII
XV
XVII
XX 268. 2131311
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
86
Selected C 3131121 chords*
C7 (E, G#) C7+5 (E, G#) C6+9 Cm6 Cm6+5
C7+9 (E, G#) E7 E7+9 (G#) Am7 G6/9
Am7 Am7b5 Am7b5 B7+5 B11
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
87
270. 1131312*
270. alternative 273. 1312113
III
V
VII
VIII
X
275. 1211313
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
88
Selected C 1131312 chords*
C+11b5 C119 Db7 Db7+5 (D, Gb, Bb) D+9
Dm7 Dm7+5 D7 (Gb, Bb) Gb7+9 (Bb) Gb7b5+9
Gb7b5 Am6 Am6+5 A6+9
*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.
89
Part 2: somewhat less useful and in some cases downright useless scales
Parent scales are mapped the full length of 24 frets, but in many cases, I did not bother to plot
the individual modes.
90
Topology 5.2 (1,2,2,3,4) 5-note scales with one half tone, two whole tones, and a minor and a major third
91
277. 12234*
281. 41223
III
V
VII
VIII
X
XII
XV
XVII
XX 280. 34122
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
92
282. 12243*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
93
287. 12324*
III
V
VII
VIII
X
XII
XV
XVII
XX 290. 24123
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
94
292. 12342*
III
V
VII
VIII
X
XII
XV
XVII
XX 295. 42123
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
95
297. 12423*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
96
302. 12432*
III
V
VII
VIII
X
XII
XV
XVII
XX 305. 32124
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
97
307. 13224*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
98
312. 13242*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
99
317. 13422*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
100
322. 14223*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
101
327. 14232*
III
V
VII
VIII
X
XII
XV
XVII
XX 330. 32142
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
102
332. 14322*
334. 32214
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
103
Topology 5.3 (1,1,2,4,4) 5-note scales with two half tones, one whole tone, and two major thirds
104
337. 11244*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
105
342. 11424*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
106
347. 11442*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
107
352. 12144*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
108
357. 12414*
III
V
VII
VIII
X
XII
XV
XVII
XX 360. 14124
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
109
362. 14142*
364. 14214
III
V
VII
VIII
X
3
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
110
Topology 5.4 (1,1,3,3,4) 5-note scales with two half tones, two minor thirds, and one major third
111
367. 11334*
371. 41133
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
112
372. 11343*
III
V
VII
VIII
X
374. 34311
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
113
377. 11433*
III
V
VII
VIII
X
XII
XV
XVII
XX 380. 33114
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
114
382. 13134*
III
V
VII
VIII
X
XII
XV
XVII
XX 385. 34131
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
115
387. 13143*
391. 31314
III
V
VII
VIII
X
XII
XV
XVII
XX 390. 43131
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
116
392. 13314*
393. 33141 396. 41331
III
V
VII
VIII
X
394. 31413
XII
XV
XVII
XX 395. 14133
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
117
Topology 6.1 (1,2,2,2,2,3) 6-note scales with one half tone, four whole tones, and one minor third
118
397. 122223*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
119
403. 223212*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
120
409. 223221*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
121
415. 222123*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
122
421. 132222*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
123
Topology 6.2 (1,1,2,2,3,3) 6-note scales with two half tones, two whole tones, and two minor thirds
124
427. 112233*
431. 331122
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
125
433. 112323*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
126
439. 112332*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
127
445. 121233*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
128
451. 121323*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
129
457. 121332*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
130
463. 211323*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
131
469. 211332*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
132
475. 223113*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
133
481. 131223*
III
V
VII
VIII
X
XII
XV
XVII
XX
XXII
XXIV
*Intervallic structure, ie, the number of half-steps (half tones) between notes. Roman numerals = fret numbers.
134
487. 131232*
III
V
VII
VIII