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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==== Quarter-tone instruments ====

a very small number of quarter-tone pianos have been built which combine two keyboards (with the bottom one repeated at the top) in a single instrument. This arrangement works well enough for other keyboard instruments such as harpsichords and organs having multiple manuals to get different tonal quality and volume, but yields rather poor ergonomics for playing chords that span the keyboards~~; it~~ also makes instruments that either sacrifice power or are very large and heavy. Here are a couple of videos of these instruments being tested/played experimentally (to demonstrate their capabilities rather than to play specific compositions that would qualify for the 24edo Music section):

a very small number of quarter-tone pianos have been built which combine two keyboards (with the bottom one repeated at the top) in a single instrument. This arrangement works well enough for other keyboard instruments such as harpsichords and organs having multiple manuals to get different tonal quality and volume, but yields rather poor ergonomics for playing chords that span the keyboards. That said, some quarter-tone styles of composition mainly alternate between the two circles of fifths and only rarely play notes from both at the same time, and for such styles the ergonomic problem would be greatly mitigated. It also makes instruments that either sacrifice power or are very large and heavy. Here are a couple of videos of these instruments being tested/played experimentally (to demonstrate their capabilities rather than to play specific compositions that would qualify for the 24edo Music section):

; Quarter-tone grand piano, Czech Museum of Music (this piano is essentially two stacked grand pianos, and as such is massive, in order to avoid sacrificing strings per note)

@@ Line 1,175: / Line 1,175: @@
 == 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 ===
@@ Line 1,208: / Line 1,208: @@
 ==== Quarter-tone instruments ====
-a very small number of quarter-tone pianos have been built which combine two keyboards (with the bottom one repeated at the top) in a single instrument. This arrangement works well enough for other keyboard instruments such as harpsichords and organs having multiple manuals to get different tonal quality and volume, but yields rather poor ergonomics for playing chords that span the keyboards; it also makes instruments that either sacrifice power or are very large and heavy. Here are a couple of videos of these instruments being tested/played experimentally (to demonstrate their capabilities rather than to play specific compositions that would qualify for the 24edo Music section):
+a very small number of quarter-tone pianos have been built which combine two keyboards (with the bottom one repeated at the top) in a single instrument. This arrangement works well enough for other keyboard instruments such as harpsichords and organs having multiple manuals to get different tonal quality and volume, but yields rather poor ergonomics for playing chords that span the keyboards. That said, some quarter-tone styles of composition mainly alternate between the two circles of fifths and only rarely play notes from both at the same time, and for such styles the ergonomic problem would be greatly mitigated.  It also makes instruments that either sacrifice power or are very large and heavy. Here are a couple of videos of these instruments being tested/played experimentally (to demonstrate their capabilities rather than to play specific compositions that would qualify for the 24edo Music section):
 ; Quarter-tone grand piano, Czech Museum of Music (this piano is essentially two stacked grand pianos, and as such is massive, in order to avoid sacrificing strings per note)

24edo: Difference between revisions

Lucius Chiaraviglio (talk | contribs)