You are confusing two totally different things Ron and your comment is completely misleading.

Of course major thirds can be pure. When the corresponding harmonics of the two notes constituting a major third are aligned, then the interval is pure. This is a physical, acoustical phenomenon.

Dissonance and consonance are something else and to an extent depict a subjective stance. The intervals considered to be dissonant were not the same in different periods. In medieval music, intervals other than unisons, fourths, fifths and octaves were considered dissonant. Fifths and fourths were sung (and played) pure. Thirds and sixths were not used as they are today to provide harmonic texture. The thirds in Pythagorean tuning (which featured pure fifths except for one wolf fifth) were far from pure and so sounded very dissonant. In Renaissance music, thirds and sixths became the essential building blocks and were considered consonant. Dissonance required preparing and resolving the dissonant intervals which were not at all the same as those in medieval times.

Whether you like it or not, the choice of temperament impacts upon the musical result. You cannot play a lute without tuning it to a particular temperament. You can tune it to equal temperament if you like, and there is historical evidence for equal temperament having been used in the 16th century, but hopefully it is an informed choice on your part.

We have a lot to learn from keyboard players and their various instruments just as they probably have a lot to learn from us. After all, the repertoire was clearly intertwined for several centuries. To dismiss temperament as 'keyboard-centric mucking around' is verging on obscurantism.

Best,

Matthew

- On 08/03/2018 13:38, Ron Andrico wrote:
And I will add that thirds are not and never were meant to be pure.
    Octaves, fifths, and fourths are pure and thirds are dissonant.  This
    is fundamental to understanding the character of early music, and
    reinforced as pertains to fretting the lute by Vincenzo Galilei.  I
    agree with Galilei, who was one smart fella, and all this mucking about
    with temperament is really keyboard-centric.
    RA




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