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=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).

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 |

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**.