1edo

← 0edo

1edo

2edo →

Prime factorization	n/a
Step size	1200 ¢
Fifth	1\1 (1200 ¢)
Semitones (A1:m2)	3:-2 (3600 ¢ : -2400 ¢)
Dual sharp fifth	1\1 (1200 ¢)
Dual flat fifth	0\1 (0 ¢)
Dual major 2nd	0\1 (0 ¢)
Consistency limit	3
Distinct consistency limit	1

1 equal division of the octave (1edo) is the tuning system that contains a single note and the octaves above and below that note.

Theory

One note repeated in octaves is an example of a trivial temperament, it is even a system that demonstrates trivial examples of telicity. That said, it is actually useful in some cases from a musical standpoint, particularly as a subset of larger EDOs. However, in terms of JI representation, it is simply the 2-limit with all other primes tempered to either the unison or octave.

The first piece of Musica ricercata by György Ligeti simulates 1edo by playing only one pitch class (A) throughout different octaves on the piano, though the piano is not itself tuned to 1edo. The last chord of the piece uses another pitch class (D), breaking the pattern.

Music

See also: Category:1edo tracks

Frédéric Gagné

• Play "Do" (2021) (MuseScore.com)

György Ligeti

• Musica ricercata: I. Sostenuto - Misurato - Prestissimo (1951-1953) (Wikipedia)

Mandrake

• One Note To Tell A Story (2022) (YouTube)

NullPointerException Music

• "Cohesion", from Edolian (2020)

STC_1001

• "Neainaz Antithetica, Theme", from STAFFcirc vol. 7 (2021) (Bandcamp)

See also

• Unison
• Octave