User:Zhenlige/Pentatonic notation

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This page introduces a proposed notation system centering the 2L 3s pentatonic scale.

Intervals

Intervals can be named according to quasi-diatonic MOS notation. The prefix “penta” can be added to avoid ambiguity. The word “period” can be used in place of “sext” to reduce strangeness.

With the same period and generator, the pentatonic chroma is the diatonic minor 2nd, and major and minor intervals are generally reversed.

Interval Abbrev. Steps 12edo tuning (cents) Equivalent diatonic interval
L s
Perfect (penta-)unison P1 0 0 0 Perfect unison
Minor (penta-)second m2 0 1 200 Major second
Major (penta-)second M2 1 0 300 Minor third
Diminished (penta-)third d3 0 2 400 Major third
Perfect (penta-)third P3 1 1 500 Perfect fourth
Perfect (penta-)fourth P4 1 2 700 Perfect fifth
Augmented (penta-)fourth A4 2 1 800 Minor sixth
Minor (penta-)fifth m5 1 3 900 Major sixth
Major (penta-)fifth M5 2 2 1000 Minor seventh
Perfect (penta-)sext/period P6 2 3 1200 Perfect octave

The modes of the pentatonic scale has names in traditional Chinese music.

Scale degrees of the modes of 2L 3s
UDP Cyclic
order
Step
pattern
Scale degree (pentdegree)
0 1 2 3 4 5
4|0 1 LsLss Perf. Maj. Perf. Aug. Maj. Perf.
3|1 3 LssLs Perf. Maj. Perf. Perf. Maj. Perf.
2|2 5 sLsLs Perf. Min. Perf. Perf. Maj. Perf.
1|3 2 sLssL Perf. Min. Perf. Perf. Min. Perf.
0|4 4 ssLsL Perf. Min. Dim. Perf. Min. Perf.
Modes of 2L 3s
UDP Cyclic
order
Step
pattern
Mode names
4|0 1 LsLss Jue (角)
3|1 3 LssLs Yu (羽)
2|2 5 sLsLs Shang (商)
1|3 2 sLssL Zhi (徵)
0|4 4 ssLsL Gong (宫)

Note names

Standard diatonic CGDAE are used. F and B are omitted. The sharp and flat are represented as “qing (清)” and “bian (变/變)”, borrowed from traditional Chinese music theory. Normal sharp/flat can also be used when not leading to ambiguity.

Pentatonic Diatonic
D D
Dq E♭
Eb D♯
E E
Eq F
Gb F♯
G G
Gq A♭
Ab G♯
A A
Aq B♭
Cb B
C C
Cq D♭
Db C♯
D D

Staves

Regular 5-lined staves can be used. Since there are 5 lines, the same number as the notes in a period, all possible staff positions can be achieved by the C clef and 6ta/11ma/16ma etc. markings.