24edo: Difference between revisions

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== Counterpoint ==

24edo is the first edo to have both a [[sqrt(25/24)]] distinct from [[25/24]] and a correct [[5-odd-limit]]. It is thus the first edo which allows to lead the two voices of a major third to a minor third by [[strict contrary motion]]. And vice versa.

24edo is the first edo to have both a [[sqrt(25/24)]] distinct from [[25/24]] and a correct [[5-odd-limit]]. It is thus the first edo which allows to lead the two voices of a major third to a minor third by strict {{W|Contrapuntal_motion#Contrary_motion|contrary motion}}. And vice versa.

Furthermore, in the same fashion, every sequence of intervals available in 12edo are reachable by equal contrary motion in 24edo.

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== Instruments ==

The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This [[Microtonal_Keyboards#twelvenoteoctavescales|"12 note octave scales"]] approach is used in a wide part of the existing literature—see below.

The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This [[Microtonal_Keyboards#twelvenoteoctavescales|"12 note octave scales"]] approach is used in a wide part of the existing literature—see below. It is usually done with pianos, since tuning one of them to displace it from the other by a quarter-tone is simple (although laborious); nevertheless, it can be done with fixed-pitch 12EDO instruments by manufacturing a custom set of bars (etc.) for one fo them, as shown in djmoderne's [https://www.youtube.com/watch?v=hs5vQyMbq8I ''Quarter tone Vibraphone tests''] (2014).

=== Guitar ===

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 == Counterpoint ==
-edo is the first edo to have both a [[sqrt(25/24)]] distinct from [[25/24]] and a correct [[5-odd-limit]]. It is thus the first edo which allows to lead the two voices of a major third to a minor third by [[strict contrary motion]]. And vice versa.
+edo is the first edo to have both a [[sqrt(25/24)]] distinct from [[25/24]] and a correct [[5-odd-limit]]. It is thus the first edo which allows to lead the two voices of a major third to a minor third by strict {{W|Contrapuntal_motion#Contrary_motion|contrary motion}}. And vice versa.
 Furthermore, in the same fashion, every sequence of intervals available in 12edo are reachable by equal contrary motion in 24edo.
@@ Line 1,181: / Line 1,181: @@
 == Instruments ==
-The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This [[Microtonal_Keyboards#twelvenoteoctavescales|"12 note octave scales"]] approach is used in a wide part of the existing literature—see below.
+The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This [[Microtonal_Keyboards#twelvenoteoctavescales|"12 note octave scales"]] approach is used in a wide part of the existing literature—see below. It is usually done with pianos, since tuning one of them to displace it from the other by a quarter-tone is simple (although laborious); nevertheless, it can be done with fixed-pitch 12EDO instruments by manufacturing a custom set of bars (etc.) for one fo them, as shown in djmoderne's [https://www.youtube.com/watch?v=hs5vQyMbq8I ''Quarter tone Vibraphone tests''] (2014).
 === Guitar ===

24edo: Difference between revisions

Lucius Chiaraviglio (talk | contribs)