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LucyTuning - An Introduction to the technology

There is now a new technology available for you to harmonically enhance your music. It is called LucyTuning and may easily be implemented on your equipment using MIDI and Pitchbend on separate notes on each channel or with microtuning tables.

So that you can experience some of the effects now, the tuning table below can be applied to your new or existing MIDI files to give you more precise control over consonance and dissonance.

[Notes which are closer on the spiral of fourths and fifths are more consonant. Those further apart more dissonant.]

[Flat notes are derived by steps of fourths: sharps by steps of fifths.]

For example, if you wish to sound the chord E Major, play it as E-G#-B.

For the chord F minor use F-Ab-C.

A#

A#/Bb

b by

-20

-31.549

Bb

Bb/A#

# by

+14

+22.535

B

B

b by

-6

-9.014

Cb

B

# by

+29

+45.070

B#

C

b by

-26

-40.563

C

C

# by

+9

+13.521

C#

C#/Db

b by

-12

-18.028

Db

Db/Eb

# by

+23

+36.056

D

D

# by

+3

+4.507

D#

D#/Eb

b by

-17

-27.042

Eb

Eb/D#

# by

-17

+27.042

E

E

b by

-3

-4.507

Fb

E

# by

+32

+49.577

E#

F

b by

-23

-36.056

F

F

# by

+12

+18.028

F#

F#/Gb

b by

-9

-13.521

Gb

Gb/F#

# by

+26

+40.563

G

G

# by

+6

+9.014

G#

G#/Ab

b by

-14

-22.535

Ab

Ab/G#

# by

+20

+31.549

LucyTuned

Note

from

MIDI

Note

sharp

or flat

64ths

of a

semitone

Cents

A=110, 220, 440, 880 Hz. is used as the reference pitch, therefore all A's remain the same as for conventional tuning. All other notes are changed from conventional tuning as follows: in 64ths of a semitone and cents. (one hundred cents = one semitone).

Experiment with the codes and you'll discover new dimensions in your music, and the key to all the Earth's diverse harmonic tuning systems.

If you already have experience with microtuning, and have read Hermann Helmholtz, you will appreciate that LucyTuning assumes that musical harmonics are at other than the old two dimensional, sine wave model of whole number frequency ratios.

LucyTuning generates low frequency beating related to the harmonic content.

LucyTunings are derived from Large (L) and small (s) intervals related to Pi.

L = 2^(1/(2*pi))= 1.11633 or 190.9858 cents (i.e. the radian angle if one revolution = one octave).

s = (2/(2^(1/(2*pi)))^5)^(1/2) = 1.073344 or 122.5354 cents.

Octave = 5L+2s. IVth = 2L+s. Vth = 3L+s.

Sharps are from steps of Fifths.

Flats from steps of Fourths.