User:Fredg999/Sandbox: Difference between revisions
mNo edit summary |
Added Infoboxes section |
||
| Line 1: | Line 1: | ||
=Edo= | == Edo == | ||
An '''equal division of the octave''' ('''edo''' or '''EDO''') is a [[Musical tuning|tuning system]] constructed by dividing the [[octave]] in a certain number of [[Equal-step tuning|equal steps]]. | An '''equal division of the octave''' ('''edo''' or '''EDO''') is a [[Musical tuning|tuning system]] constructed by dividing the [[octave]] in a certain number of [[Equal-step tuning|equal steps]]. | ||
| Line 6: | Line 6: | ||
An edo being an [[equal-step tuning]], it is also an [[Arithmetic tunings|arithmetic]] and a [[Harmonotonic tunings|harmonotonic]] tuning. | An edo being an [[equal-step tuning]], it is also an [[Arithmetic tunings|arithmetic]] and a [[Harmonotonic tunings|harmonotonic]] tuning. | ||
== History == | === History === | ||
For a long time, theorists used the term "equal temperament" for edos designed to approximate low-complexity just intervals. The same term is still used today to designate more generally all rank-1 [[Regular temperament|temperaments]]. For example, [[15edo]] can be referred to as 15-tone equal temperament (15-TET, 15-tET, 15tet, etc.), or more simply 15 equal temperament (15-ET, 15et, etc.). | For a long time, tuning theorists used the term "equal temperament" for edos designed to approximate low-complexity just intervals. The same term is still used today to designate more generally all rank-1 [[Regular temperament|temperaments]]. For example, [[15edo]] can be referred to as 15-tone equal temperament (15-TET, 15-tET, 15tet, etc.), or more simply 15 equal temperament (15-ET, 15et, etc.). | ||
The acronym "EDO" (''EE-dee-oh'') was coined by [[Daniel Anthony Stearns]]<sup>[''year needed'']</sup>. Since then, the [https://en.wikipedia.org/w/index.php?title=Anacronym anacronym] "edo" (''EE-doh''), spelled in lowercase, has become increasingly widespread. | The acronym "EDO" (''EE-dee-oh'') was coined by [[Daniel Anthony Stearns]]<sup>[''year needed'']</sup>. Since then, the [https://en.wikipedia.org/w/index.php?title=Anacronym anacronym] "edo" (''EE-doh''), spelled in lowercase, has become increasingly widespread. | ||
| Line 14: | Line 14: | ||
A few more alternate notations have been devised by some musicians more recently, including "edd" or "EDD" (equal divisions of the [[Ditave]]), "DIV," and "EQ." | A few more alternate notations have been devised by some musicians more recently, including "edd" or "EDD" (equal divisions of the [[Ditave]]), "DIV," and "EQ." | ||
=== Infoboxes === | |||
{{Infobox ET | |||
| Prime factorization = 2 × 3</sup> | |||
| Step size = 200¢ | |||
| Fifth = 4\6 = 800¢ | |||
| Major 2nd = 2\6 = 400¢ | |||
| Minor 2nd = -2\6 = -400¢ | |||
| Augmented 1sn = 4\6 = 800¢ | |||
}} | |||
{{Infobox ET | |||
| Prime factorization = 2<sup>2</sup> | |||
| Step size = 300¢ | |||
| Fifth = 2\4 = 600¢ | |||
| Major 2nd = 0\4 = 0¢ | |||
| Minor 2nd = 2\4 = 600¢ | |||
| Augmented 1sn = -2\4 = -600¢ | |||
}} | |||
{{Infobox ET | |||
| Prime factorization = 3 (prime) | |||
| Step size = 400¢ | |||
| Fifth = 2\3 = 800¢ | |||
| Major 2nd = 1\3 = 400¢ | |||
| Minor 2nd = -1\3 = 400¢ | |||
| Augmented 1sn = 1\3 = -400¢ | |||
}} | |||
{{Infobox ET | |||
| Prime factorization = 2 (prime) | |||
| Step size = 600¢ | |||
| Fifth = 1\2 = 600¢ | |||
| Major 2nd = 0\2 = 0¢ | |||
| Minor 2nd = 1\2 = 600¢ | |||
| Augmented 1sn = -1\2 = -600¢ | |||
}} | |||
Revision as of 16:53, 12 July 2021
Edo
An equal division of the octave (edo or EDO) is a tuning system constructed by dividing the octave in a certain number of equal steps.
A tuning with n equal divisions of the octave is usually called "nedo" or "n-EDO." For instance, the predominant tuning system in the world today is 12edo or 12-EDO.
An edo being an equal-step tuning, it is also an arithmetic and a harmonotonic tuning.
History
For a long time, tuning theorists used the term "equal temperament" for edos designed to approximate low-complexity just intervals. The same term is still used today to designate more generally all rank-1 temperaments. For example, 15edo can be referred to as 15-tone equal temperament (15-TET, 15-tET, 15tet, etc.), or more simply 15 equal temperament (15-ET, 15et, etc.).
The acronym "EDO" (EE-dee-oh) was coined by Daniel Anthony Stearns[year needed]. Since then, the anacronym "edo" (EE-doh), spelled in lowercase, has become increasingly widespread.
With the development of equal divisions of non-octave intervals (edonoi), some musicians started using "ed2" or "ED2" in place of "edo" or "EDO," especially when naming a specific tuning.
A few more alternate notations have been devised by some musicians more recently, including "edd" or "EDD" (equal divisions of the Ditave), "DIV," and "EQ."
Infoboxes
| ← 11edo | Sandbox | 13edo → |
(convergent)
| ← 11edo | Sandbox | 13edo → |
(convergent)
| ← 11edo | Sandbox | 13edo → |
(convergent)