Pythagorean tuning: Difference between revisions

Sintel (talk | contribs)
Split off discussion of temperaments to seperate section, add some discussion of schismatic system
Sintel (talk | contribs)
Relation to temperaments: fix fifth-chain
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Mark Lindley<ref>Mark Lindley, ''Pythagorean Intonation and the Rise of the Triad'', Royal Musical Association Research Chronicle, 1980</ref> argues such a system was used in Europe during the 15th century, with keyboards tuned to nearly pure fifths as
Mark Lindley<ref>Mark Lindley, ''Pythagorean Intonation and the Rise of the Triad'', Royal Musical Association Research Chronicle, 1980</ref> argues such a system was used in Europe during the 15th century, with keyboards tuned to nearly pure fifths as


:{{dash|G♭, C♭, A♭, E♭, B, F, C, G, D, A, E, B}}.
:{{dash|G♭, D♭, A♭, E♭, B♭, F, C, G, D, A, E, B}}.


When respelled enharmonically, triads such as {{dash|D, F♯, A}} are close to 4:5:6 in this tuning.
When respelled enharmonically, triads such as {{dash|D, F♯, A}} are close to 4:5:6 in this tuning.