Extracts
from Pitch, Pi, and other Musical Paradoxes (a practical guide to
natural microtonality)
Chapter 3: Scales available in LucyTuning
12tET
Equal Temperament twelve notes
per octave (12tET) assumes that there is only one interval
on which all musical scales are based. This interval is the
semitone (100 cents). Twelve equal semitones make one octave.
Two semitones make one whole tone.
LucyTuning
The naturals arranged in order
of fifths gives: F-C-G-D-A-E-B 1 2 3 4 5 6 7 This is a chain
of seven notes, an expanse of six steps. Hence the first digit
in the code is 6/ None of these notes are missing, so the
second digit is 6/0. Each scale begins on the notes in positions
1 through 7 as follows:
So for Scales Using All The Naturals.
Notice that each octave consists
of 5 Large (L) and 2 small (s) intervals in the circular sequence
LLsLLLs with each scale starting from a different position
in the sequence.
1
2
3
4
5
6
7
8
Scale
Coding
Greek Name & Interval Pattern
Indian Name
C
D
E
F
G
A
B
C
6/0/2
Ionian LLsLLLs
Bilaval
D
E
F
G
A
B
C
D
6/0/4
Dorian LsLLLsL
Kafi
E
F
G
A
B
C
D
E
6/06
Phrygian sLLLsLL
Bhairavi
F
G
A
B
C
D
E
F
6/0/1
Lydian LLLsLLs
Kalyan
G
A
B
C
D
E
F
G
6/0/3
Mixolydian LLsLLsL
Khamaj
A
B
C
D
E
F
G
A
6/0/5
Aeolian LsLLsLL
Asavari
B
C
D
E
F
G
A
B
6/0/7
Locrian sLLsLLL
-
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