User:Zhenlige/Chromatic notation

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. Adding 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”. 12edo diatonic interval names can also be used for representing degrees, with A4 and d5 merged into “tritone”.

Interval		Abbrev.	Steps		29edo tuning (steps)	Equivalent diatonic interval	Approximate ratios
Degree	Quality	Abbrev.	L	s	29edo tuning (steps)	Equivalent diatonic interval	schismatic	additional in garibaldi
Unison Zero-tone Zero-sem	Perfect	PU / P0s	0	0	0	P1	1/1
Semitone Sem / Monosem / 1-sem	Minor	ms / m1s	0	1	2	m2	135/128, 256/243	21/20
Semitone Sem / Monosem / 1-sem	Major	Ms / M1s	1	0	3	A1	16/15	15/14
Tone Monotone / 1-tone Disem / 2-sem	Minor	mt / m1t / m2s	0	2	4	d3	10/9
Tone Monotone / 1-tone Disem / 2-sem	Major	Mt / M1t / M2s	1	1	5	M2	9/8
Sesquitone Trisem / 3-sem	Minor	mS / m3s	1	2	7	m3	32/27
Sesquitone Trisem / 3-sem	Major	MS / M3s	2	1	8	A2	6/5
Ditone / 2-tone Tetrasem / 4-sem	Minor	m2t / m4s	1	3	9	d4	5/4	56/45
Ditone / 2-tone Tetrasem / 4-sem	Major	M2t / M4s	2	2	10	M3	81/64	80/63, 63/50
Fourth Pentasem / 5-sem	Perfect	Pf / P5s	2	3	12	P4	4/3
Fourth Pentasem / 5-sem	Augmented	Af / A5s	3	2	13	A3	27/20
Tritone / 3-tone Hexasem / 6-sem	Minor	m3t / m6s	2	4	14	d5	45/32	7/5
Tritone / 3-tone Hexasem / 6-sem	Major	M3t / M6s	3	3	15	A4	64/45	10/7
Fifth Heptasem / 7-sem	Diminished	dF / d7s	2	5	16	d6	40/27
Fifth Heptasem / 7-sem	Perfect	PF / P7s	3	4	17	P5	3/2
Tetratone / 4-tone Octasem / 8-sem	Minor	m4t / m8s	3	5	19	m6	128/81	63/40, 100/63
Tetratone / 4-tone Octasem / 8-sem	Major	M4t / M8s	4	4	20	A5	8/5	45/28
Nonasem / 9-sem	Minor	m9s	3	6	21	d7	5/3
Nonasem / 9-sem	Major	M9s	4	5	22	M6	27/16
Pentatone / 5-tone Decasem / 10-sem	Minor	m5t / m10s	4	6	24	m7	16/9
Pentatone / 5-tone Decasem / 10-sem	Major	M5t / M10s	5	5	25	A6	9/5
Undecasem / 11-sem	Minor	m11s	4	7	26	d8	15/8	28/15
Undecasem / 11-sem	Major	M11s	5	6	27	M7	243/128, 256/135	40/21
Octave / Ditave / Period Hexatone / 6-tone Dodecasem / 12-sem	Perfect	PO / P6t / P12s	5	7	29	P8	2/1

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 9-lined staff is used. To improve readability, the lines alter between thin and thick. The first and last lines are thick. Only C-clef is used. C is always on a thick line. For the standard clef, the notes on the lines are EγαβCDEγα.