6edo

6-EDO divides the 1200-cent octave into 6 equal parts, making its smallest interval exactly 200¢, or the sixth root of 2. It's known as the "whole tone" scale. As a subset of 12-edo, it can be notated on a five-line staff with standard notation. It is the first edo that is not a zeta peak, has lower consistency than the one that precedes it, and the highest edo that has no single period mode of symmetry scales other than using the single step as a generator. This means it is relatively poor for it's size at creating traditional tonal music, with 5 & 7 both having much better representations of the third harmonic, but has still seen more use than most edos other than 12, since it can be played on any 12 tone instrument.

Related EDOs:

• Subset: 2edo, 3edo
• Supersets: 12edo, 18edo, 24edo...
• Neighbours: 5edo, 7edo

Commas

6 EDO tempers out the following commas. This assumes val ⟨6 10 14 17 21 22].

Prime Limit	Ratio	Monzo	Cents	Color name	Name(s)
3	32/27	[5 -3⟩	294.13	Wa	Pythagorean minor third
5	25/24	[-3 -1 2⟩	70.67	Yoyo	Classic chromatic semitone
5	128/125	[7 0 -3⟩	41.06	Trigu	Diesis, augmented comma
5	3125/3072	[-10 -1 5⟩	29.61	Laquinyo	Small diesis, magic comma
5	(12 digits)	[17 1 -8⟩	11.45	Saquadbigu	Würschmidt comma
5	(30 digits)	[-44 -3 21⟩	6.72	Trila-septriyo	Mutt comma
7	49/48	[-4 -1 0 2⟩	35.70	Zozo	Slendro diesis
7	50/49	[1 0 2 -2⟩	34.98	Biruyo	Tritonic diesis, jubilisma
7	3136/3125	[6 0 -5 2⟩	6.08	Zozoquingu	Hemimean
7	6144/6125	[11 1 -3 -2⟩	5.36	arurutrigu	Porwell
7	2401/2400	[-5 -1 -2 4⟩	0.72	Bizozogu	Breedsma
11	121/120	[-3 -1 -1 0 2⟩	14.37	Lologu	Biyatisma
11	176/175	[4 0 -2 -1 1⟩	9.86	Lorugugu	Valinorsma
11	385/384	[-7 -1 1 1 1⟩	4.50	Lozoyo	Keenanisma
13	13/12	[-2 -1 0 0 0 1⟩	138.57	tho 2nd	tridecimal neutral second

Music

• Dvandva by Milan Guštar.
• The Good Boundless by Chris Vaisvil
• Prelude In 6ET | SoundCloud by Aaron Andrew Hunt
• Invention In 6ET | SoundCloud by Aaron Andrew Hunt