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
Flats from steps of Fourths.