Fretless Guitars.

I appreciate the freedom that you have without frets, yet playing
any sort of fretted chord becomes almost impossible.

Fret positions for LucyTuned 19 & 31 frets per octave instruments.
Intervals > Large small
Ratios > 1.116633 1.073344
cents > 190.9858 122.5354

Distance of Nut to Bridge 650 (Inches or millimetres)
Fifth
Guitar
String FIRST OCTAVE IntervalSECOND OCTAVE
NoteName Scale Distance Fret Fret (L&s) Distance Fret Fret
Marks@ * Position NutToFret of 19 of 31 from NutToFret of 19 of 31
A ** I 0.0000 0 0 Nut 325.0000 19 31
Bbb bbII 19.9923 - 1 (2s-L) 334.9962 - 32
A# #I 25.1987 1 2 (L-s) 337.5994 20 33
Bb bII 44.4160 2 3 s 347.2080 21 34
Ax xI 49.4205 - 4 (2L-2s) 349.7103 - 35
B II 67.8928 3 5 L 358.9464 22 36
Cb bbIII 85.7970 - 6 2s 367.8985 - 37
B# #II 90.4595 4 7 (2L-s) 370.2298 23 38
C * bIII 107.6696 5 8 (L+s) 378.8348 24 39
Dbb bbIV 124.3503 - 9 3s 387.1751 - 40
C# III 128.6942 6 10 2L 389.3471 25 41
Db bIV 144.7283 7 11 (L+2s) 397.3641 26 42
Cx #III 148.9038 - 12 (3L-s) 399.4519 - 43
D * IV 164.3163 8 13 (2L+s) 407.1581 27 44
Ebb bbV 179.2546 - 14 (L+3s) 414.6273 - 45
D# #IV 183.1449 9 15 3L 416.5724 28 46
Eb bV 197.5042 10 16 (2L+2s) 423.7521 29 47
Dx xIV 201.2436 - 17 (4L-s) 425.6218 - 48
E * V 215.0462 11 18 (3L+s) 432.5231 30 49
Fb bbVI 228.4242 - 19 (2L+3s) 439.2121 - 50
E# #V 231.9081 12 20 4L 440.9541 31 51
F bVI 244.7676 13 21 (3L+2s) 447.3838 32 52
Ex xV 248.1164 - 22 (5L-s) 449.0582 - 53
F# * VI 260.4773 14 23 (4L+s) 455.2387 33 54
Gb bbVII 272.4580 15 24 (3L+3s) 461.2290 34 55
Fx #VI 275.5781 - 25 5L 462.7890 - 56
G bVII 287.0943 16 26 (4L+2s) 468.5472 35 57
Abb bbVIII 298.2564 - 27 (3L+4s) 474.1282 - 58
G# VII 301.1632 17 28 (5L+s) 475.5816 36 59
Ab bVIII 311.8925 18 29 (4L+3s) 480.9462 37 60
Gx #VII 314.6866 - 30 6L 482.3433 - 61
A ** VIII 325.0000 19 31 (5L+2s) 487.5000 38 62
The following list may trigger some useful ideas re:

Alternative Guitar Tunings.

The following alternative open and "slack-key" guitar tunings
are intended for use on LucyTuned Guitars.

The same notenames may be used for 12 and other et systems,
plus meantone tuned guitars, (Pythagorean etc.), and will work
within the limitations of those tuning systems.

[To achieve the unique LucyTuned harmonics and intervals, you will
need a LucyTuned guitar, or to refret your instrument.]

The open strings should be tuned to the frequencies assigned to
the notenames in the corresponding tuning system.

[eg for LucyTuned guitars with conventional notenames -
strings 6&1 (E) are tuned 4.5 cents flatter than 12et E;
4th string (D) 4.5 cents sharper than 12 et D;
3rd string (G) 9.0 cents sharper than 12et G; and
2nd string (B) 9.0 cents flatter than 12et B.]

* Notes marked * will be sharper than conventional tuning name.

String numbers/ MegaMode
& Notenames Code Open Chord Name
6 5 4 3 2 1

E A E* E A E 1/0 A (no III)
C G C G C* G* 1/0 C (no III)
D A D D A D 1/0 D (no III) DadDad
C Bb*C F Bb F* 2/0 Fsus4 or Bb9 (no bVII or III)
D G C G C* D 2/0 Gsus4 or C9 (no bVII or III)
D A D E A D 2/0 Asus4 or D9 (no bVII or III)
D A E* E A A* 2/0 Asus4 or D9 (no bVII or III)
E A D E A E 2/0 Asus4 or D9 (no bVII or III)
E B* E* F# B E 2/0 Bsus4 or E9 (no bVII or III)
C G C G C* F* 2/0 Csus4 or F9 (no bVII or III)
D G D D A D 2/0 Dsus4 or G9 (no bVII or III)
D A D G A D 2/0 Dsus4 or G9 (no bVII or III) DadGad
D A D G D* G* 2/0 Dsus4 or G9 (no bVII or III)
D G D G A D 2/0 Dsus4 or G9 (no bVII or III)
C G D G A D 2/0 Dsus4 or G9 (no bVII or III)
C G D F G C 3/0 Dm7 (noV) sus4
B F# B E A E 3/0 F#m7 (noV) sus4
D A D E A B 3/0 E7 sus4 or A9 (no bVII) sus4 or D6&9 (no III)
D G D E A D 3/0 A7 sus4 or D9 (no bVII) sus4 or G6&9 (no III)
E G D G A D 3/0 A7 sus4 or D9 (no bVII) sus4 or G6&9 (no III)
E G D E A E 3/0 A7 sus4 or D9 (no bVII) sus4 or G6&9 (no III)
D A D A* C* D 3/2 D7 (no III)

C G Bb Eb F Bb 4/0 Cm7sus4
C G D D A E 4/0 D9 sus4 (no III)
C G D A* E* G* 4/0 D9 sus4 (noIII) (Robert Fripp)
D A C G C* E 4/0 D9 sus4 (no III)
D A D G C* E 4/0 D9 sus4 (no III)
D A C D E* G* 4/0 D9 sus4 (no III)
E B* E* F# A D 4/0 E9 sus4 (no III)
D A D F# B E 4/0 E9 sus4 (no III) & D6&9 (no VII)
E A D F# B E 4/0 E9 sus4 (no III) Lute
D A D G B E 4/0 A9 sus4 (no III) Em7 & G6 (Drop D)
D A E* G C* E 4/0 Am7 sus4 or C6&9
E A D G B E 4/0 Em7 sus4 or G6&9 (Standard Tuning)
E B* D G A D 4/0 Em7 sus4 or G6&9
E B* E* G A D 4/0 Em7 sus4 or G6&9
E A E* G B E 4/2 Em sus4 or A9 (no III)
E B* E* G A E 4/2 Em sus4 or A9 (no III)
D Bb*D G Bb D 4/23 G minor
D G D G Bb D 4/23 G minor
E A C E A E 4/23 A minor
E A E* A* C* E 4/23 A minor
E B* E* G B E 4/23 E minor
C# G# C# G#*C#*E 4/23 C# minor
F#*A C# A* A E 4/3 F#m7 & A6
C G C G A E 4/3 Am7 & C6
C A C G C* E 4/3 Am7 & C6
Eb Bb*Eb*G C* Eb 4/3 Cm7 & Eb6
D A D F C* F* 4/3 Dm7 & F6
D G D G B E 4/3 Em7 & G6
F* Ab C Eb Ab Eb 4/3 Fm7 & Ab6
E A C# A* C#*E 4/34 A Major
E A E* A* C#*E 4/34 A Major (Open Blues)
C G E* G C* E 4/34 C Major (Cyail C)
C G C G C* E 4/34 C Major (Open C)
D A D F# A D 4/34 D Major (Open D)
E G# E* G#*B E 4/34 E Major (Slide Blues)
E B* E* G#*B E 4/34 E Major
D G D G B D 4/34 G Major (Taro Patch) (Open G)
D A E F# A D 4/4 D9 (no bVII)
E C E* G C* D 4/4 C9 (no bVII)
D G D G C* E 4/4 C9 (no bVII)
C A D G B E 5/0 C Maj9 + 6
E A D G C* F* 5/0 F Maj9 + 6 (Chain of IVths)
G* B* E* F# A D 5/0 G Maj9 + 6
B F# C# D A D 5/3 D Maj7 + 6
E A E* G#*C#*E 5/34 A Maj7
C# A C# G#*A E 5/34 A Maj7
D A D F Bb F* 5/34 Bb Maj7
C G E* G B E 5/34 C Maj7 (Gabby C) Emb6
E B* E* G C* E 5/34 C Maj7
G* C* E* G B E 5/34 C Maj7
D A D F# A C# 5/34 D Maj7
D A C# F# A E 5/4 F#m7b6
D A C# E A E 5/45 A sus 4
E B* E* G#*B D# 5/45 E Maj7
D G D F# B D 5/45 G Maj7
C G D G B E 5/45 C Maj9
F* Bb*C F A D 5/45 Bb Maj9 (Wahine) Dm7b9
C D? G? G B E 5/45 C Maj9 (no III)
C G D G B C 5/45 C Maj9 (no III)
C G D G B D 5/45 C Maj9 (no III) Em7b6
C G C F C* E 5/45 F Maj9 (no III)
D A D G A F#* 5/45 G Maj9 (no III)
F* A C A* Bb F* 5/45 F sus 4
Eb Bb*C F C* D 5/45 Bb9 sus4 (no VII)
C G D F C E 5/5 C9 (no bVII) sus 4
F* A D G B E 6/2 Dm + Em
D A D G C* Eb 6/236 Cm6+9 (no VII)
E A C# G C#*E 6/256 A7
F#*A C# A* A D# 6/256 F#m6
D A D F# C* D 6/256 D7
E G# D G#*B E 6/26 E7
E B* D G#*B F#* 6/26 E9
E B* C# G A E 6/2 A9
E A C G#*C* E 8/23678 Am Maj7
D A D F C#*F* 8/2368 Dm Maj7
E B* E* G B D# 8/23678 Em Maj7
Eb Ab E* F B Eb 9/35678 Fm7 Maj7 Aug 4 (no V)

Charles Lucy 8th Feb 1995. (with new additions)
for more info. see our website at

http//:ourworld.compuserve.com/homepages/lullaby

Replies, comments etc. to lucy@hour.com








Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl
with SMTP-OpenVMS via TCP/IP; Fri, 31 Jan 1997 13:08 +0100
Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA20745; Fri, 31 Jan 1997 13:08:36 +0100
Received: from eartha.mills.edu by ns (smtpxd); id XA20728
Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI)
id EAA27584; Fri, 31 Jan 1997 04:07:15 -0800
Date: Fri, 31 Jan 1997 04:07:15 -0800
Message-Id: <009AF2FFD68DCB96.1744@vbv40.ezh.nl>
Errors-To: madole@mills.edu
Reply-To: tuning@ella.mills.edu
Originator: tuning@eartha.mills.edu
Sender: tuning@ella.mills.edu