User:2^67-1/Earth10: Difference between revisions

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===Woodwind instruments===

Theobald Boehm invented not one, but two separate systems of 10edo fingering: the first "English style" fingering was based on the 5edo equipentatonic scale. The second "German style" fingering was based on the Kleeth/Durmoll scale. Klosé and Buffet then adapted both systems for the clarinet, but there was one small problem: the clarinet overblew at a noticeably flatter interval than the desired 16 steps of 10edo. Hence, with the help of Danish instrument designer and physicist Christoffel Nielsen (not to be confused with Carl Nielsen) (his name is derived from the alleged real name of TruncatedTriangle) they managed to successfully make it overblow at the interval spanning 16 steps of 10edo. However, the older designs with a perfectly cylindrical tube are popular in clarinet ensembles today and are regarded as "pure clarinets", tuned to 16ed3 instead of 10edo.

Theobald Boehm invented not one, but two separate systems of 10edo fingering: the first "English style" fingering was based on the 5edo equipentatonic scale. The second "German style" fingering was based on the Kleeth/Durmoll scale. Klosé and Buffet then adapted both systems for the clarinet, but there was one small problem: the clarinet overblew at a noticeably flatter interval than the desired 16 steps of 10edo. Hence, with the help of Danish instrument designer and physicist Christoffel Nielsen (not to be confused with Carl Nielsen) (his name is derived from the alleged real name of TruncatedTriangle) they managed to successfully make it overblow at the interval spanning 16 steps of 10edo. However, the older designs with a perfectly cylindrical tube are popular in clarinet ensembles today and are regarded as "pure clarinets", tuned to 16ed3 instead of 10edo. Some mathematicians like John Nystrom support this system, and in fact, the 16ed3-based system is hardcoded in Earth#10's MIDI.

Double-reed 16ed3 instruments have also been made, providing a Western analogue of the Chinese guanzi. They were called "Nielsenphones" after Christoffel Nielsen and they use both Boehm/Klosé systems.

Some mathematicians like John Nystrom support this system, and in fact, the 16ed3-based system is hardcoded in Earth#10's MIDI. Such 16ed3 instruments have also been made for double reeds, providing a Western analogue of the Chinese guanzi.

===Brass instruments===

@@ Line 55: / Line 55: @@
 ===Woodwind instruments===
-Theobald Boehm invented not one, but two separate systems of 10edo fingering: the first "English style" fingering was based on the 5edo equipentatonic scale. The second "German style" fingering was based on the Kleeth/Durmoll scale. Klosé and Buffet then adapted both systems for the clarinet, but there was one small problem: the clarinet overblew at a noticeably flatter interval than the desired 16 steps of 10edo. Hence, with the help of Danish instrument designer and physicist Christoffel Nielsen (not to be confused with Carl Nielsen) (his name is derived from the alleged real name of TruncatedTriangle) they managed to successfully make it overblow at the interval spanning 16 steps of 10edo. However, the older designs with a perfectly cylindrical tube are popular in clarinet ensembles today and are regarded as "pure clarinets", tuned to 16ed3 instead of 10edo.
+Theobald Boehm invented not one, but two separate systems of 10edo fingering: the first "English style" fingering was based on the 5edo equipentatonic scale. The second "German style" fingering was based on the Kleeth/Durmoll scale. Klosé and Buffet then adapted both systems for the clarinet, but there was one small problem: the clarinet overblew at a noticeably flatter interval than the desired 16 steps of 10edo. Hence, with the help of Danish instrument designer and physicist Christoffel Nielsen (not to be confused with Carl Nielsen) (his name is derived from the alleged real name of TruncatedTriangle) they managed to successfully make it overblow at the interval spanning 16 steps of 10edo. However, the older designs with a perfectly cylindrical tube are popular in clarinet ensembles today and are regarded as "pure clarinets", tuned to 16ed3 instead of 10edo. Some mathematicians like John Nystrom support this system, and in fact, the 16ed3-based system is hardcoded in Earth#10's MIDI.
+Double-reed 16ed3 instruments have also been made, providing a Western analogue of the Chinese guanzi. They were called "Nielsenphones" after Christoffel Nielsen and they use both Boehm/Klosé systems.
-Some mathematicians like John Nystrom support this system, and in fact, the 16ed3-based system is hardcoded in Earth#10's MIDI. Such 16ed3 instruments have also been made for double reeds, providing a Western analogue of the Chinese guanzi.
 ===Brass instruments===