CONTENTS
Introduction musica humana an objective standard what is "in tune"? different ways of tuning tuning machines Tuning pure fifths and dissonant thirds mediaeval, Pythagoras pure thirds and tempered fifths renaissance, 'mean-tone' consonance dissonance major & minor tones tempered thirds and tempered fifths baroque, Kirnberger;'equal temperament' Quality - how well do you need to tune?		A selection of pieces which illustrate the main points about tuning anon, [ductia], 13th C 5ths harmony, 5ths tuning anon, O gentil madonna, c.1440 3rds harmony, 5ths tuning anon, Entre Peronne et St. Quentin, c. 1470 3rds harmony, 3rds tuning Gio: Domenico da Nola, Menar vò sempre mai, 1570 four chromatic notes, mean-tone tuning Luca Marenzio, Dhe, dolc'anima mia, 1595 d# and e-flat in same piece Tomaso Pecci, Mia Filli, 1599 e-flat needs retuning to d# Andreas Hammerschmied, Jesu wenn ich an dich gedenke, 1669 g# used as a-flat to express pain G.Ph. Telemann, Menuets, 1728 no-problem mean-tone in 18thC. C.Ph.E Bach, Vivace, c.1780 mean-tone no longer works, unequal 3rds needed Improvising a prelude to check the tuning Sound examples, DVDs and CD For further reading