1edo: Difference between revisions
Jump to navigation
Jump to search
CompactStar (talk | contribs) No edit summary |
subst edo intro, make it a bit "fancier" |
||
| Line 6: | Line 6: | ||
}} | }} | ||
{{Infobox ET}} | {{Infobox ET}} | ||
{{#invoke:EDO_intro|edo_intro_frame | |||
|EDO=1 | |||
}} | |||
== Theory == | == 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. | 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. | ||
Revision as of 12:53, 11 February 2024
| ← 0edo | 1edo | 2edo → |
Script error: No such module "EDO_intro".
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.
1edo is equivalent to 1afdo and 1ifdo.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +498 | -386 | +231 | -204 | -551 | +359 | +112 | -105 | -298 | -471 | +572 |
| Relative (%) | +41.5 | -32.2 | +19.3 | -17.0 | -45.9 | +30.0 | +9.3 | -8.7 | -24.8 | -39.2 | +47.6 | |
| Step | 2 | 2 | 3 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 5 | |
Music
- See also: Category:1edo tracks
- Octaves Only (2023)
- PolyTech (2023)
- E (2022)
- Play "Do" (2021) (MuseScore.com)
- One Note To Tell A Story (2022) (YouTube)
- "Cohesion", from Edolian (2020)
- "Neainaz Antithetica, Theme", from STAFFcirc vol. 7 (2021) (Bandcamp)