Harmonics Or the Philosophy of Musical Sounds

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(^) Sea. IV. Art. 4.
32 HARMONICS. Se^IV.
In Fig. 3, tune upwards from C the two per- fed: v'^'CG, Gd, and the perfed xvii^^ or 2 VI 1 1 4- 1 1 1, Ce^ then downwards the v*'' ea, and the intermediate fifth ad will be too little by a comma, as including the imperfect minor third df. And by tuning an eighth below a we have the imperfect fourth Jld too large by a comma.
9. The difagreeable efFed: of this fifth da and fourth dA in every odave, and of their com- pounds with viii^''% and alfo of the
...third ^and and fixth fd' in every odtave and of their com- pounds with viii^^% and of many more fuchim- perfed concords, when the ufual flat and fharp founds are added to complete the fcale, has obli- ged pradlical muficians, long ago, to diftribute that comma, wanting in the fifth da^ equally among all the four V''', CG, Gd^ da^ ae^ con- tained in the xvii*^ Ce. And this interval Ce may be increafed or decreafed a little before it be divided into 4 equal v'^'. In any cafe fuch di- ftribution is therefore called the Participation or Temperament of the fyftem, and when rightly adjufted is undoubtedly the finefi improvement in harmonics.

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