User:Zhenlige/Chromatic notation: Difference between revisions
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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, | This page introduces a proposed notation system centering the [[5L 7s]] chromatic scale. This system is suitable for temperaments with consonant intervals far away in the [[chain of fifths]], such as [[schismatic]]. More naturals is usually unnecessary, since the [[12-comma]] is much smaller than the [[256/243|limma]] in JI. For the meantone chromatic scale [[7L 5s]], there are two approches to use this system, in anology to using the standard notation system for the [[2L 5s|antidiatonic]] scale. | ||
== Intervals == | == Intervals == | ||
The names according to [[quasi-diatonic MOS notation]] are not intuitional, so different names are given here. “Sem” stands for “''' | The names according to [[quasi-diatonic MOS notation]] are not intuitional, so different names are given here. “Sem” stands for “'''sem'''itone”. | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| Line 18: | Line 18: | ||
|Perfect|| PU || 0 || 0 || 0 || [[1/1|P1]] | |Perfect|| PU || 0 || 0 || 0 || [[1/1|P1]] | ||
|- | |- | ||
| rowspan="2" | Semitone<br>Monosem / 1-sem | | rowspan="2" | Semitone<br>Sem / Monosem / 1-sem | ||
|Minor|| ms / m1s || 0 || 1 || 2 || m2 | |Minor|| ms / m1s || 0 || 1 || 2 || m2 | ||
|- | |- | ||
| Line 41: | Line 41: | ||
|Perfect|| Pf / P5s || 2 || 3 || 12 || P4 | |Perfect|| Pf / P5s || 2 || 3 || 12 || P4 | ||
|- | |- | ||
| | |Wolf|| Wf / W5s || 3 || 2 || 13 || A3 | ||
|- | |- | ||
| rowspan="2" | [[Tritone]] / 3-tone<br>Hexasem / 6-sem | | rowspan="2" | [[Tritone]] / 3-tone<br>Hexasem / 6-sem | ||
| Line 49: | Line 49: | ||
|- | |- | ||
| rowspan="2" | Fifth<br>Heptasem / 7-sem | | rowspan="2" | Fifth<br>Heptasem / 7-sem | ||
| | |Wolf|| wF / w7s || 2 || 5 || 16 || d6 | ||
|- | |- | ||
|Perfect|| PF / P7s || 3 || 4 || 17 || [[Perfect fifth (diatonic interval category)|P5]] | |Perfect|| PF / P7s || 3 || 4 || 17 || [[Perfect fifth (diatonic interval category)|P5]] | ||
| Line 78: | Line 78: | ||
== Note names == | == 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 [[ | Latin letters ABCDEFG and Greek letters αβγδε are used. Latin letters represent the same notes as diatonic. Each Greek letter represents the note a [[2187/2048|diatonic chroma]] below the note marked with the corresponding Latin letter. Ups and downs are used for altering [[12-comma]]s. | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| Line 121: | Line 121: | ||
== Staves == | == Staves == | ||
A 7-lined or 9-lined staff is | A 7-lined or 9-lined staff is used. The lines can alter between thin and thick ones. The note C, E and α should be on thick lines. | ||
Revision as of 08:30, 28 January 2026
This page introduces a proposed notation system centering the 5L 7s chromatic scale. This system is suitable for temperaments with consonant intervals far away in the chain of fifths, such as schismatic. More naturals is usually unnecessary, since the 12-comma is much smaller than the limma in JI. For the meantone chromatic scale 7L 5s, there are two approches to use this system, in anology to 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 Sem / 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 |
| Wolf | Wf / W5s | 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 |
Wolf | wF / w7s | 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 diatonic chroma below the note marked with the corresponding Latin letter. Ups and downs are used for altering 12-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 |
Staves
A 7-lined or 9-lined staff is used. The lines can alter between thin and thick ones. The note C, E and α should be on thick lines.