36edo: Difference between revisions
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After [[9edo]] and [[19edo]], 36edo is one of the easiest tuning systems to recreate tuning solely by ear, due to the way it's purest intervals are arranged. If you view it as a lattice of 4 9edo's (which can be formed by stacking 9 [[7/6]]'s with a comma of less than 2 cents) connected by [[3/2]]'s, you get a tonal diamond with a wolf note between the extreme corners of approximately 7.7 cents, about the same relative error as stacking 12 perfect 3/2's compared to [[12edo]] and obviously a much smaller absolute error. It's a good system to use on large organs that have three manuals. | After [[9edo]] and [[19edo]], 36edo is one of the easiest tuning systems to recreate tuning solely by ear, due to the way it's purest intervals are arranged. If you view it as a lattice of 4 9edo's (which can be formed by stacking 9 [[7/6]]'s with a comma of less than 2 cents) connected by [[3/2]]'s, you get a tonal diamond with a wolf note between the extreme corners of approximately 7.7 cents, about the same relative error as stacking 12 perfect 3/2's compared to [[12edo]] and obviously a much smaller absolute error. It's a good system to use on large organs that have three manuals. | ||
Tuning file. [[ | Tuning file: [[9x4just]] | ||
== Instruments == | |||
36edo can be played on the [[Lumatone]]. See [[Lumatone mapping for 36edo]]. | |||
It can also be played using three instruments tuned to 12edo with different root notes. | |||
== Music == | == Music == | ||