Recorder
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Playing microtonal music on recorders
From a posting by afmmjr on the MMM forum (this one):
It is really easy to play quartertones on a recorder. Honestly. One uses the right alternate fingerings. There is one pitch that requires one to lift a leg so as to point the tube towards full closure (lowering the instrument a quartertone, to F 1/4 flat).
Quartertone fingering chart for alto recorder by Tui St. George Tucker: http://tuistgeorgetucker.com/scores/alto%20recorder.pdf [dead link]
A video by Robin Andrews showing the use of recorder to play an arabic maqam scale (Sikah): https://www.youtube.com/watch?v=ghttCq9Uuls
Jon Lyle Smith posted fingerings for some just intervals in the following posting on MMM (assumed 1/1 = F):
o= open, x= closed, /=half. 7/6: x - x - x - x - x - o - o x (thumb) x - x 11/9: x - x - x - x - x - o - x x o - x 9/7: x - x - x - x - / - x - o x x - o 11/8: x - x - x - x - o - o - o x o - o 13/9: x - x - x - o - x - o - o x o - o 14/9: x - x - o - x - x - x - o x x - o 18/11: x - o - x - x - x - x - o x x - o 21/16: x - o - x - x - x - o - o x x - o 12/7: x - o - x - x - x - o - o x o - o 7/4: x - o - x - o - x - x - x x x - x 16/9: x - o - x - x - o - x - x x x - x 9/5: x - o - x - x - o - o - o x o - o 11/6: x - o - o - x - x - x - o x x - o 27/14: o - x - o - x - x - o - o x x - o