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User:Zhenlige/Pentatonic notation: Difference between revisions

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Created page with "This page introduces a proposed notation system for 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. {| class="wikitable" |- ! row..."
 
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This page introduces a proposed notation system for the [[2L 3s]] pentatonic scale.
This page introduces a proposed notation system centering the [[2L 3s]] pentatonic scale. This system is useful for tunings with very hard diatonic scales, making diatonic limmas and chromas counterintuitive.


== Intervals ==
== Intervals ==
Line 10: Line 10:
! rowspan="2" | Abbrev.
! rowspan="2" | Abbrev.
! colspan="2" | Steps
! colspan="2" | Steps
! rowspan="2" | 12edo tuning (cents)
! rowspan="2" | 12edo tuning (steps)
! rowspan="2" | Equivalent diatonic interval
! rowspan="2" | Equivalent diatonic interval
! rowspan="2" | Interval in [[3-limit]] JI
|-
|-
! L !! s
! L !! s
|-
|-
| Perfect (penta-)unison || P1 || 0 || 0 || 0 || [[1/1|Perfect unison]]
| Perfect (penta-)unison || P1 || 0 || 0 || 0 || [[1/1|Perfect unison]] || [[1/1]]
|-
|-
| Minor (penta-)second || m2 || 0 || 1 || 200 || Major second
| Minor (penta-)second || m2 || 0 || 1 || 2 || Major second || [[9/8]]
|-
|-
| Major (penta-)second || M2 || 1 || 0 || 300 || Minor third
| Major (penta-)second || M2 || 1 || 0 || 3 || Minor third || [[32/27]]
|-
|-
| Diminished (penta-)third || d3 || 0 || 2 || 400 || Major third
| Diminished (penta-)third || d3 || 0 || 2 || 4 || Major third || [[81/64]]
|-
|-
| Perfect (penta-)third || P3 || 1 || 1 || 500 || Perfect fourth
| Perfect (penta-)third || P3 || 1 || 1 || 5 || Perfect fourth || [[4/3]]
|-
|-
| Perfect (penta-)fourth || P4 || 1 || 2 || 700 || [[Perfect fifth (diatonic interval category)|Perfect fifth]]
| Perfect (penta-)fourth || P4 || 1 || 2 || 7 || [[Perfect fifth (diatonic interval category)|Perfect fifth]] || [[3/2]]
|-
|-
| Augmented (penta-)fourth || A4 || 2 || 1 || 800 || Minor sixth
| Augmented (penta-)fourth || A4 || 2 || 1 || 8 || Minor sixth || [[128/81]]
|-
|-
| Minor (penta-)fifth || m5 || 1 || 3 || 900 || Major sixth
| Minor (penta-)fifth || m5 || 1 || 3 || 9 || Major sixth || [[27/16]]
|-
|-
| Major (penta-)fifth || M5 || 2 || 2 || 1000 || Minor seventh
| Major (penta-)fifth || M5 || 2 || 2 || 10 || Minor seventh || [[16/9]]
|-
|-
| Perfect (penta-)sext/period || P6 || 2 || 3 || 1200 || [[2/1|Perfect octave]]
| Perfect (penta-)sext/period || P6 || 2 || 3 || 12 || [[2/1|Perfect octave]] || [[2/1]]
|}
|}
The modes of the pentatonic scale has names in traditional Chinese music.
{{MOS mode degrees|Scale Signature=2L 3s}}
{{MOS modes|Scale Signature=2L 3s|Mode Names=Jué (角)$ Yǔ (羽)$ Shāng (商)$ Zhǐ (徵)$ Gōng (宫)}}


== Note names ==
== 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.
Standard diatonic CGDAE are used. F and B are omitted. The sharp and flat are represented as “qīng (清)” and “biàn (变/變)”, borrowed from traditional Chinese music theory. Normal sharp/flat can also be used when not leading to ambiguity.
{| class="wikitable"
{| class="wikitable"
|-
|-
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| '''D''' || '''D'''
| '''D''' || '''D'''
|-
|-
| Dq || E♭
| qD || E♭
|-
|-
| Eb || D♯
| bE || D♯
|-
|-
| '''E''' || '''E'''
| '''E''' || '''E'''
|-
|-
| Eq || '''F'''
| qE || '''F'''
|-
| qqE || G♭
|-
|-
| Gb || F♯
| bG || F♯
|-
|-
| '''G''' || '''G'''
| '''G''' || '''G'''
|-
|-
| Gq || A♭
| qG || A♭
|-
|-
| Ab || G♯
| bA || G♯
|-
|-
| '''A''' || '''A'''
| '''A''' || '''A'''
|-
|-
| Aq || B♭
| qA || B♭
|-
| bbC || A♯
|-
|-
| Cb || '''B'''
| bC || '''B'''
|-
|-
| '''C''' || '''C'''
| '''C''' || '''C'''
|-
|-
| Cq || D♭
| qC || D♭
|-
|-
| Db || C♯
| bD || C♯
|-
|-
| '''D''' || '''D'''
| '''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.
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