| You are welcome. This pattern may be better for understanding the staff system and how LilyPond works:
Currently, LilyPond uses the M and the # as generators, and the latter is put on a rational number continuous variable, tied to E12, the 12-equal tone-system. But no matter what rational value one chooses on the horizontal #-line, one only gets two generators: genuine microtone notation should have more generators.
One can also see things like that a scale that takes up 7 adjacent staff positions also uses all seven note name letters, and will always do that no matter how transposed.
On 21 May 2018, at 17:41, Menu Jacques <address@hidden> wrote:
Thanks Hans!
JM
Le 20 mai 2018 à 20:56, Hans Åberg <address@hidden> a écrit :
Here is a two-dimensional layout fitting into the staff system (use a monospace font to view). Pitches increase by moving up or to the right. Moving vertically corresponds to changing position on the staff; moving horizontally, applying an accidental.
Pitches altering layout as follows:
m ^ ^ M
| /
b <- . -> #
/|
-M v v -m
where M (resp. m) is the major (resp. minor) second, and the
the sharp # (resp. flat b) raises (resp lower) with the interval
M - m, that is, the difference between the major and minor seconds.
Resulting pattern, in a scale using names A B C D E F G:
Ab' A' A#'
Gb G G#
Fb F F#
Eb E E#
Db D D#
Cb C C#
Bb B B#
Ab A A#
For traditional interval names:
D8 P8 A8
D7 m7 M7 A7
D6 m6 M6 A6
D5 P5 A5
D4 P4 A4
D3 m3 M3 A3
D2 m2 M2 A2
D1 P1 A1
writing
P pure
M major
m minor
A augmented
D diminished
plus numbers: 1st, 2nd, etc.
Then transpose by translating, also between the two diagrams.
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