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

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The notes are called 0 1 2 3 4 5 6 7 8 9. 0 of the 4th dekatave is written as 0₄ and has a frequency of 200*sqrt(2) Hz. Music is written with a jianpu-style notation (called the ''ciphersystem'') which has been adopted worldwide in the early 20th century.

There are three main modes used in composition: dicot[7], called Durmoll (seen above), 5edo, and 10edo. Traditionally the main triad is taken to be [0 3 6]. Neopentatonicist composers use this triad on only the pentatonic notes on a certain mode, though more modern reincarnations of this style remove that requirement. Neopentatonic melodies are traditionally written in the equipentatonic mode and have a strong folk-like sound. Pieces or sections of pieces written in Durmoll or something similar have a strong resemblance to the music of the Classical period. Modern orchestral works from the Late Romantic onwards use both modes equally.

There are three main modes used in composition: dicot[7], called Durmoll (seen above), 5edo, and 10edo. Traditionally the main triad is taken to be [0 3 6]. Neopentatonicist composers use this triad on only the pentatonic notes on a certain mode, though more modern reincarnations of this style remove that requirement. Neopentatonic melodies are traditionally written in the equipentatonic mode and have a strong folk-like sound. Pieces or sections of pieces written in Durmoll or something similar have a strong resemblance to the music of the Classical period. Modern orchestral works from the Late Romantic onwards use both modes relatively equally.

==Instruments==

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*the alto violin, tuned to the same tuning as the viola with a slightly more violin-like tone

*the tenor violoncello, tuned to the same tuning as the tenor viola with a slightly more cello-like tone

*the subcontrabass, tuned a dekatave below the contrabass (this is a novelty, and the most famous one is at the Orchestre symphonique de Montréal~~) (yes, this is the octobass analogue~~)

*the subcontrabass, tuned a dekatave below the contrabass (this is a novelty, and the most famous one is at the Orchestre symphonique de Montréal)

===Plucked string instruments===

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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 16edt instead of 10edo. (The 10edo versions are called "orchestral clarinets"). Some mathematicians like John Nystrom support this system, and in fact, the 16edt-based system is hardcoded in Earth#10's MIDI. (Some fringe composers compose in 16edt 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 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 16edt instead of 10edo. (The 10edo versions are called "orchestral clarinets"). Some mathematicians like John Nystrom support this system, and in fact, the 16edt-based system is hardcoded in Earth#10's MIDI. (Some fringe composers compose in a 16edt-based system instead of 10edo.)

Double-reed 16edt instruments have also been made, providing a Western analogue of the Chinese guanzi. They are called nielsenphones after Christoffel Nielsen and they use both Boehm/Klosé systems. I will not mention oboes, bassoons, and saxophones here because their histories were ~~pretty much the same~~ except for the fact that they are tuned in 10edo.

Double-reed 16edt instruments have also been made, providing a Western analogue of the Chinese guanzi. They are called nielsenphones after Christoffel Nielsen and they use both Boehm/Klosé systems. I will not mention oboes, bassoons, and saxophones here because their histories were similar except for the fact that they are tuned in 10edo.

The transposition system for these instruments is messy compared to that of the string instruments. To start, most flutes, oboes, bassoons, saxophones, orchestral clarinets and orchestral nielsenphones follow the system where every member of the family is always a 10edo fifth (5\10) apart. However, the pure clarinets and pure nielsenphones are all a 16edt eighth (8\16<3/1> or sqrt(3)) apart, causing both transposition systems to have separate names for each register. That does not take into account the two "English" and "German" style key systems, which make classification of orchestral woodwind instruments in Earth#10 much more complicated than in our world.

@@ Line 57: / Line 57: @@
 The notes are called 0 1 2 3 4 5 6 7 8 9. 0 of the 4th dekatave is written as 0₄ and has a frequency of 200*sqrt(2) Hz. Music is written with a jianpu-style notation (called the ''ciphersystem'') which has been adopted worldwide in the early 20th century.
-There are three main modes used in composition: dicot[7], called Durmoll (seen above), 5edo, and 10edo. Traditionally the main triad is taken to be [0 3 6]. Neopentatonicist composers use this triad on only the pentatonic notes on a certain mode, though more modern reincarnations of this style remove that requirement. Neopentatonic melodies are traditionally written in the equipentatonic mode and have a strong folk-like sound. Pieces or sections of pieces written in Durmoll or something similar have a strong resemblance to the music of the Classical period. Modern orchestral works from the Late Romantic onwards use both modes equally.
+There are three main modes used in composition: dicot[7], called Durmoll (seen above), 5edo, and 10edo. Traditionally the main triad is taken to be [0 3 6]. Neopentatonicist composers use this triad on only the pentatonic notes on a certain mode, though more modern reincarnations of this style remove that requirement. Neopentatonic melodies are traditionally written in the equipentatonic mode and have a strong folk-like sound. Pieces or sections of pieces written in Durmoll or something similar have a strong resemblance to the music of the Classical period. Modern orchestral works from the Late Romantic onwards use both modes relatively equally.
 ==Instruments==
@@ Line 76: / Line 76: @@
 *the alto violin, tuned to the same tuning as the viola with a slightly more violin-like tone
 *the tenor violoncello, tuned to the same tuning as the tenor viola with a slightly more cello-like tone
-*the subcontrabass, tuned a dekatave below the contrabass (this is a novelty, and the most famous one is at the Orchestre symphonique de Montréal) (yes, this is the octobass analogue)
+*the subcontrabass, tuned a dekatave below the contrabass (this is a novelty, and the most famous one is at the Orchestre symphonique de Montréal)
 ===Plucked string instruments===
@@ Line 86: / Line 86: @@
 ===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 16edt instead of 10edo. (The 10edo versions are called "orchestral clarinets"). Some mathematicians like John Nystrom support this system, and in fact, the 16edt-based system is hardcoded in Earth#10's MIDI. (Some fringe composers compose in 16edt 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 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 16edt instead of 10edo. (The 10edo versions are called "orchestral clarinets"). Some mathematicians like John Nystrom support this system, and in fact, the 16edt-based system is hardcoded in Earth#10's MIDI. (Some fringe composers compose in a 16edt-based system instead of 10edo.)
-Double-reed 16edt instruments have also been made, providing a Western analogue of the Chinese guanzi. They are called nielsenphones after Christoffel Nielsen and they use both Boehm/Klosé systems. I will not mention oboes, bassoons, and saxophones here because their histories were pretty much the same except for the fact that they are tuned in 10edo.
+Double-reed 16edt instruments have also been made, providing a Western analogue of the Chinese guanzi. They are called nielsenphones after Christoffel Nielsen and they use both Boehm/Klosé systems. I will not mention oboes, bassoons, and saxophones here because their histories were similar except for the fact that they are tuned in 10edo.
 The transposition system for these instruments is messy compared to that of the string instruments. To start, most flutes, oboes, bassoons, saxophones, orchestral clarinets and orchestral nielsenphones follow the system where every member of the family is always a 10edo fifth (5\10) apart. However, the pure clarinets and pure nielsenphones are all a 16edt eighth (8\16<3/1> or sqrt(3)) apart, causing both transposition systems to have separate names for each register. That does not take into account the two "English" and "German" style key systems, which make classification of orchestral woodwind instruments in Earth#10 much more complicated than in our world.

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