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LucyTuned Guitars
Left First LucyTuned guitar - Right conventional 

fretting

The first practical LucyTuned guitar was the Mk V, which was first made in 1986. It has twenty-five frets per octave.

The story of its design and construction can be found in chapter one of Pitch, Pi, and Other Musical Paradoxes . This is the design used by Arc-Angel and there are now a few hundred copies which have been made in all parts of the world. Although the design was patented, permission has been given for their non-commercial production for personal use. The design details have been evolving, and it is now proposed that new users start with the nineteen fret per octave model, and with experience add twelve further frets to make it thirty-one frets per octave. Rehearsal for 12 string guitar part of LucyTuned Lullabies II in Aug 2004 - short - Quicktime .mov .9 Meg

Playing LucyTuned guitars

Diagram of LucyTuned and 12tET frettings

This design is intended to make the evolution from 12tET to LucyTuning as easy as possible for experienced musicians and new players. Although all frets, except the octave, are at different positions; the dots or marks found on the neck and fretboard of a conventional guitar are found at directly comparable positions on LucyTuned guitars. The familiar "landmarks" usually found at the 3, 5, 7, 9, and 12th frets on 12tET guitars, are placed at the bIII, IV, V, VI, and VIII positions. (i.e. C, D, E, and F# for the A (5th) string. This enables new users to use familiar open tunings and immediately navigate around the fretboard using familiar fingering.

When playing with more than 19 frets per octave you will use pairs of close frets. Placing your fingers below (towards the nut from) the pair will sound the flatter note. Playing on the pair will sound the sharper of the two notes.

You will notice that all the sharper of the notes sounded from the pairs will be in sharp keys; the lower of the pair being in flat keys.

Tuning LucyTuned guitars

Any tuning of the open strings may be used: conventional (EADGBE), slack key, alternative etc. yet each string will need to be referenced to A4 = 440 Hz. and other notes fine tuned (+/- a few cents). This may be done by matching to frets on adjacent strings, using "harmonics", or an electronic tuner. The tuning needs to be very precise, yet when you have got correct, it will be very apparent, for chords you play will sound very "in tune".

Using conventional tuning the changes are:

Open String .

.

.

6

.

E

.

.

5

.

A

.

4

.

D

3

.

G

.

.

.

.

.

2

.

B

.

.

.

1

.

E

Change (cents) 4.5 cents

flat (b)

same as

12 tET

110 Hz.

4.5 cents

sharp (#)

9.0 cents

sharp (#)

9.0 cents

flat (b)

4.5 cents

flat (b)

Getting your own LucyTuned guitar

New Neck and fretboard

New necks can be manufactured for most solid guitars with any specified fretting by: John Carruthers, 346, Sunset Ave, Venice, California 90291. Phone1 (310) 392-3919 contact Jim Hetal.

Magnetic Fretboard Kits

Mark Rankin can provide interchangeable fretboards. They are are made using Tom Stone's design, which is a laminate of 5 separate layers consisting of 5 different kinds of material. The fretwire used is of a unique shape without a tang which Mark pays to have custom-manufactured to Tom's original specs.

He suggests:

"If you want to encourage people to make their own interchangeable fretboards, you could tell them to make wooden interchangeable fretboards and then glue them to magnetic rubber sheet, or you could tell them to do what Ghost Linnen in Oregon has done, which is to make wooden interchangeable fretboards and then attach them directly to the neck using little levers. This eliminates the sound-robbing problem, but makes for a thicker neck."

Rankin Interchangeable Fretboards
P.O. Box 201
Alderpoint, California 95511
U.S.A.
MarkRankin95511@yahoo.com

Refretting

You can get an existing guitar refretted by any competent luthier. I use and recommend: Colin Noden at Andy's Guitar Shop, Denmark St. London W1. He is very experienced and usually busy, yet does an excellent job. Most luthiers will charge a couple of hundred dollars for the work, and will need the exact fret positions which depend upon your nut to bridge distance.
If your instrument has other than 650 mm from nut to bridge, you will need to pro-rata the distances, or EMail Charles Lucy from here (info@lucytune.com) with your nut to bridge distance (in inches or millimeters) to get the AmigaBasic or spreadsheet program or a file of the output.

DIY

Doing it yourself is the least expensive route. Remove all the frets. Fill the holes with Plastic Wood. Allow to dry overnight. Sand the board and stick masking tape over it so that you can mark out the fret positions. Draw a straight line from the centre of the nut to the centre of the bridge as a reference for fret alignment, and mark each fret position. Cut fret grooves; remove the masking tape, insert the frets; secure them; trim; file; dress; set up guitar and enjoy playing your LucyTuned guitar.

I suggest 19 frets per octave initially, so that you can add more frets later as you gain playing experience. Use mandolin fretwire for the second octave, so that there will be space for the extra frets later.

Fret positions for LucyTuned 19 & 31 frets per octave instruments
Intervals Ratio Cents
Large (L) 1.116633 190.9858
small (s) 1.073344 122.5354
Distance from Nut to Bridge = 650 (millimetres) (for other nut to bridge distances, values can be pro rata-ed)
Note Name
Guitar
Fifth String
(* = marks)
Scale
Position
Distance
Nut to fret
First
Octave
Fret No of 19 for
First
octave
(0-19)
Fret No.of 31 for
First
octave
(0-31)
Large (L) and
small (s)
Intervals from nut.
Add (5L+2s) for second octave

Distance
Nut to fret
Second
Octave

Fret No of 19 for
Second
octave
(19-38)
Fret No.
of 31 for
Second
octave
(31-62)
A I - Nut Nut Zero & 5L+2s 325.0 19 31
Bbb bbII 019.9923 - 1 2s-L 334.9962 - 32
A# #I 025.1987 1 2 L-s 337.5994 20 33
Bb bII 044.4160 2 3 s 347.2080 21 34
Ax xI 049.4295 - 4 2L-2s 349.7103 - 35
B II 067.8928 3 5 L 358.9464 22 36
Cb bbIII 085.7970 - 6 2s 367.8985 - 37
B# #II 090.4595 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**
Related Pages
Download this page in Adobe PDF format
Download Fretting Spreadsheet in Excel format to calculate fret positions for any 5L 2s tuning system, and others.
Fretting patterns for 12 tone Equal Temperament and LucyTuned 19, 25, and 31 per Octave
Alternative Open Guitar and Bass tunings
Lucy Tuned Chords and Scale Coding