| Std | A | A# Bb | B | C | C# Db | D | D# Eb | E | F | F# Gb | G | G# Ab |
C Maj Modal | A | B | B | C | C | D | E | E | F | F | G | G | F#,C#,G# flattened, Bb, Eb sharpened |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| C Min Modal | Ab | Bb | B | C | C | D | Eb | Eb | F | F | G | Ab | A,C#,E,F# flattened | D Min Modal | A | Bb | Bb | C | C# | D | D | E | F | F | G | G | B, Eb, F#,G# flattened |
| 6's and 7's | A | H:B M:B L:A | B | C | C# Db | D | H:E L:D | E | F | F# Gb | G | G# Ab |
only Bb and Eb affected; Highest notes sharpened, lower ones flattened. |
| Eb | Bb | F | C | G | D | A | ||||||||||||||||
| F7 | C7 | G7 | D7 | A7 | E7 | B7 | ||||||||||||||||
| Ab | Bb7 | Cm | Gm | Dm | Am | Em | ||||||||||||||||
| becomes: | ||||||||||||||||||||||
| Em | Dm | F | C | G | Dm | Am | ||||||||||||||||
| F6 | C6 | G7 | Dm7 | Am7 | Em7 | BEFA | ||||||||||||||||
| Am | BFDA | C | G | Dm | Am | Em | ||||||||||||||||
| String | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Note name | F | F | C | F | G | A | A | B! | C | D! | Eb | E | F | F | G | A | B! | C | D! |
| Harmonic | 4 | 4 | 6 | 8 | 9 | 10 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 16 | 18 | 20 | 22 | 24 | 26 |
| Ratio | 1/1 | 1/1 | 3/2 | 1/1 | 9/8 | 5/4 | 5/4 | 11/8 | 3/2 | 13/8 | 7/4 | 15/8 | 1/1 | 1/1 | 9/8 | 5/4 | 11/8 | 3/2 | 13/8 |
|
Since these are true harmonics, 12 tone equal temperament doesn't
fit this scale, so some of the names are approximate (! indicates a 1/4 tone) |
|||||||||||||||||||
The Chords that "go" with this scale are like this:
|
|||||||||||||||||||
| Chord Name | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
|
1-3-5-7* Like F Maj and F7 |
F | F | C | F | X | A | A | X | C | X | Eb* | X | F | F | X | A | X | C | X |
|
3-9-15 Like C Maj |
X | X | C | X | G | X | X | X | C | X | X | E | X | X | G | X | X | C | X |
|
1-3-9 Like C sus |
F | F | C | F | G | X | X | X | C | X | X | X | F | F | G | X | X | C | X |
|
9-11-13-15* Not like anything; The opposite of F7 |
X | X | X | X | G | X | X | B! | X | D! | X | E* | X | X | G | X | B! | X | D! |
|
3-5-7-9* Rootless F9 |
X | X | C | X | G* | A | A | X | C | X | Eb | X | X | X | G* | A | X | C | X |
1-3-5-7-9- 11-13-15 F15 | (open strum; lets you play close groups of harmonics) |
G - D - A - E 10/9 - 5/3 - 5/4 - 15/8
\ / \ / \ / \ \ / \ / \ / \
Bb - F - C - G' 4/3 --- 1/1 -- 3/2 -- 9/8
\ / \ / \ / \ \ / \ / \ / \
Db Ab Eb Bb' 8/5 --- 6/5 - 9/5 - 27/20
Or in other words, a 5-limit just scale built on
3/2 (perfect fifth) and 5/4 (major third) and their
inversions 4/3 (perfect fourth) and 8/5 (minor third).
There are twelve tones in this scale, although
they are not equally tempered. The first trick is to retune
the strings to this new scale. The second trick is to pick chords
that make use of this scale. | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 |
| F | A | C | Db | E | F* | G | Ab | A | Bb' | Bb | C* | D | Db | E | Eb | F | G' | G | Ab | A | Bb' | Bb | C | D | Db | E | Eb | F | G' | G | Ab | A | Bb' | Bb | C |
| F chords: made of pieces of F A C E G Bb D | |
|---|---|
| F maj9 | F A C E G |
| G min9 | G Bb D F A |
| A min9 | A C E G Bb |
| Bb Maj9 | Bb D F A C |
| C9 | C E G Bb D |
| D mi9 | D F A C E |
| E 0 9 | E G Bb D F |
| Ab chords: made of pieces of Ab C Eb G' Bb' Db F | |
| Ab maj9 | Ab C Eb G' Bb' |
| Bb mi9 | Bb' Db F Ab C |
| C mi9 | C Eb G' Bb' Db |
| Db maj9 | Db F Ab C Eb |
| Eb 9 | Eb G' Bb' Db F |
| F mi9 | F Ab C Eb G' |
| G' 0 9 | G' Bb' Db F Ab |
| Eb sus4 | Eb Ab Bb |
| suspended pythagorean chords | |
| C sus4 7 | C F G Bb |
| Am sus 4? | A D E |
| Ab sus 4? | Ab Db Eb |
| Augmented chords | |
| F+ | F A C Db |
| Ab+ | Ab C E G' |
| That makes 19 chords: 7+7+3+2. There's room for two "lock bars, but I only made one (F). A lock bar had a special button that can keep the bar down even when you aren't pressing it. | |
| Lock Bars | |
| F lock | F G A Bb C D E |
| Ab lock | Ab Bb' C Db Eb F G' |
| All the chords have the drone strings open in them as well. | |
| BbM9 | C9 | Dmi9 | E09 | Ab+ | Absus | |||||||||||||||||
| Lock | FM9 | Gm9 | Am9 | DbM9 | Eb9 | Fmi9 | ||||||||||||||||
| F+ | Csus | Amsus | G'09 | AbM9 | Bb'm9 | Cm9 | ||||||||||||||||
| These are the basic F chords | ||||||||||||||||||||||
| These are the basic Ab chords | ||||||||||||||||||||||
| String # | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 |
| harmonic | 2 | 2 | 3 | 3 | 4 | 4 | 4 | 5 | 5 | 5 | 6 | 6 | 6 | 7 | 7 | 7 | 8 | 8 | 9 | 10 | 10 | 11 | 11 | 12 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 24 |
| approx. pitch | F | F | C | C | F | F | F | A | A | A | C | C | C | Eb | Eb | Eb | F | F | G | A | A | B | B | C | C | D | Eb | E | F | F# | G | Ab | A | Bb' | B | C |