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LucyTuned
Guitars |
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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
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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.
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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.
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4.5 cents
sharp (#)
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9.0 cents
sharp (#)
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9.0 cents
flat (b)
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4.5 cents
flat (b)
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Getting your own LucyTuned
guitar
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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.
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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 |
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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** |
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