User:Zhenlige/Chromatic notation: Difference between revisions

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{| class="wikitable"
{| class="wikitable"
|-
|-
! rowspan="2" | Interval
! colspan="2" | Interval
! rowspan="2" | Abbrev.
! rowspan="2" | Abbrev.
! colspan="2" | Steps
! colspan="2" | Steps
! rowspan="2" | 29edo tuning (steps)
! rowspan="2" | 29edo tuning
! rowspan="2" | Equivalent diatonic interval
(steps)
! rowspan="2" | Equivalent
diatonic interval
|-
|-
!Degree
!Quality
! L !! s
! L !! s
|-
|-
| Perfect (chroma-)unison/zero-sem || PU || 0 || 0 || 0 || [[1/1|P1]]
| Unison
Zero-tone
Zero-sem  
|Perfect|| PU || 0 || 0 || 0 || [[1/1|P1]]
|-
|-
| Minor semitone/monosem/1-sem || ms / m1s || 0 || 1 || 2 || m2
| rowspan="2" | Semitone
Monosem / 1-sem
|Minor|| ms / m1s || 0 || 1 || 2 || m2
|-
|-
| Major semitone/monosem/1-sem || Ms / M1s || 1 || 0 || 3 || A1
|Major|| Ms / M1s || 1 || 0 || 3 || A1
|-
|-
| Minor tone/disem/2-sem || mT / m2s || 0 || 2 || 4 || d3
| rowspan="2" | Tone
Monotone / 1-tone
Disem / 2-sem  
|Minor|| mt / m1t / m2s || 0 || 2 || 4 || d3
|-
|-
| Major tone/disem/2-sem || MT / M2s || 1 || 1 || 5 || M2
|Major|| Mt / M1t / M2s || 1 || 1 || 5 || M2
|-
|-
| Minor sesquitone/trisem/3-sem || mS / m3s || 1 || 2 || 7 || m3
| rowspan="2" | Sesquitone
Trisem / 3-sem
|Minor|| mS / m3s || 1 || 2 || 7 || m3
|-
|-
| Major sesquitone/trisem/3-sem || MS / M3s || 2 || 1 || 8 || A2
|Major|| MS / M3s || 2 || 1 || 8 || A2
|-
|-
| Minor ditone/tetrasem/4-sem || m2T / m4s || 1 || 3 || 9 || d4
| rowspan="2" | Ditone / 2-tone
Tetrasem / 4-sem
|Minor|| m2t / m4s || 1 || 3 || 9 || d4
|-
|-
| Major ditone/tetrasem/4-sem || M2T / M4s || 2 || 2 || 10 || M3
|Major|| M2t / M4s || 2 || 2 || 10 || M3
|-
|-
| Perfect fourth/pentasem/5-sem || Pf / P5s || 2 || 3 || 12 || P4
| rowspan="2" | Fourth
Pentasem / 5-sem
|Perfect|| Pf / P5s || 2 || 3 || 12 || P4
|-
|-
| Augmented fourth/pentasem/5-sem || Af / A5s || 3 || 2 || 13 || A3
|Augmented|| Af / A5s || 3 || 2 || 13 || A3
|-
|-
| Minor tritone/hexasem/6-sem || m3T / m6s || 2 || 4 || 14 || d5
| rowspan="2" | [[Tritone]] / 3-tone
Hexasem / 6-sem
|Minor|| m3t / m6s || 2 || 4 || 14 || d5
|-
|-
| Major tritone/hexasem/6-sem || M3T / M6s || 3 || 3 || 15 || A4
|Major|| M3t / M6s || 3 || 3 || 15 || A4
|-
|-
| Diminished fifth/heptasem/7-sem || dF / d7s || 2 || 5 || 16 || d6
| rowspan="2" | Fifth
Heptasem / 7-sem
|Diminished|| dF / d7s || 2 || 5 || 16 || d6
|-
|-
| Perfect fifth/heptasem/7-sem || PF / P7s || 3 || 4 || 17 || P5
|Perfect|| PF / P7s || 3 || 4 || 17 || [[Perfect fifth (diatonic interval category)|P5]]
|-
|-
| Minor tetratone/octasem/8-sem || m4T / m8s || 3 || 5 || 19 || m6
| rowspan="2" | Tetratone / 4-tone
Octasem / 8-sem
|Minor|| m4t / m8s || 3 || 5 || 19 || m6
|-
|-
| Major tetratone/octasem/8-sem || M4T / M8s || 4 || 4 || 20 || A5
|Major|| M4t / M8s || 4 || 4 || 20 || A5
|-
|-
| Minor nonasem/9-sem || m9s || 3 || 6 || 21 || d7
| rowspan="2" | Nonasem / 9-sem  
|Minor|| m9s || 3 || 6 || 21 || d7
|-
|-
| Major nonasem/9-sem || M9s || 4 || 5 || 22 || M6
|Major|| M9s || 4 || 5 || 22 || M6
|-
|-
| Minor pentatone/decasem/10-sem || m5T / m10s || 4 || 6 || 24 || m7
| rowspan="2" | Pentatone / 5-tone
Decasem / 10-sem
|Minor|| m5t / m10s || 4 || 6 || 24 || m7
|-
|-
| Major pentatone/decasem/10-sem || M5T / M10s || 5 || 5 || 25 || A6
|Major|| M5t / M10s || 5 || 5 || 25 || A6
|-
|-
| Minor undecasem/11-sem || m11s || 4 || 7 || 26 || d8
| rowspan="2" | Undecasem / 11-sem  
|Minor|| m11s || 4 || 7 || 26 || d8
|-
|-
| Major undecasem/11-sem || M11s || 5 || 6 || 27 || M7
|Major|| M11s || 5 || 6 || 27 || M7
|-
|-
| Perfect octave/hexatone/dodecasem/12-sem || P6T / P12s || 5 || 7 || 29 || P8
| Octave / Ditave / Period
Hexatone / 6-tone
Dodecasem / 12-sem  
|Perfect|| PO / P6t / P12s || 5 || 7 || 29 || [[2/1|P8]]
|}
|}



Revision as of 08:55, 12 June 2025

This page introduces a proposed notation system centering the 5L 7s chromatic scale. For the meantone chromatic scale 7L 5s, there are two approches to use this system, just like using the standard notation system for the antidiatonic scale.

Intervals

The names according to quasi-diatonic MOS notation are not intuitional, so different names are given here. “Sem” stands for “semitone”.

Interval Abbrev. Steps 29edo tuning

(steps)

Equivalent

diatonic interval

Degree Quality L s
Unison

Zero-tone Zero-sem

Perfect PU 0 0 0 P1
Semitone

Monosem / 1-sem

Minor ms / m1s 0 1 2 m2
Major Ms / M1s 1 0 3 A1
Tone

Monotone / 1-tone Disem / 2-sem

Minor mt / m1t / m2s 0 2 4 d3
Major Mt / M1t / M2s 1 1 5 M2
Sesquitone

Trisem / 3-sem

Minor mS / m3s 1 2 7 m3
Major MS / M3s 2 1 8 A2
Ditone / 2-tone

Tetrasem / 4-sem

Minor m2t / m4s 1 3 9 d4
Major M2t / M4s 2 2 10 M3
Fourth

Pentasem / 5-sem

Perfect Pf / P5s 2 3 12 P4
Augmented Af / A5s 3 2 13 A3
Tritone / 3-tone

Hexasem / 6-sem

Minor m3t / m6s 2 4 14 d5
Major M3t / M6s 3 3 15 A4
Fifth

Heptasem / 7-sem

Diminished dF / d7s 2 5 16 d6
Perfect PF / P7s 3 4 17 P5
Tetratone / 4-tone

Octasem / 8-sem

Minor m4t / m8s 3 5 19 m6
Major M4t / M8s 4 4 20 A5
Nonasem / 9-sem Minor m9s 3 6 21 d7
Major M9s 4 5 22 M6
Pentatone / 5-tone

Decasem / 10-sem

Minor m5t / m10s 4 6 24 m7
Major M5t / M10s 5 5 25 A6
Undecasem / 11-sem Minor m11s 4 7 26 d8
Major M11s 5 6 27 M7
Octave / Ditave / Period

Hexatone / 6-tone Dodecasem / 12-sem

Perfect PO / P6t / P12s 5 7 29 P8

Note names

Latin letters ABCDEFG and Greek letters αβγδε are used. Latin letters represent the same notes as diatonic. Each Greek letter represents the note a chroma below the note marked with the corresponding Latin letter. Ups and downs are used for altering Pythagorean commas.

Chromatic Diatonic
D D
ε E♭
↑ε D♯
E E
F F
γ G♭
↑γ F♯
G G
α A♭
↑α G♯
A A
β B♭
↑β A♯
B B
C C
δ D♭
↑δ C♯
D D