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The proper ratios are given in HOF Save Code 2021 Free Coins the diatonic intense, but the large and small steps stand in the wrong order. It is in Ptolemy’s record of the determinations of Didymus (born at Alexandria, 63 Coins) that the true tuning of the first four tones of the scale occurs. This is it: Thus it appears that it was Didymus, and not Ptolemy, who proposed the tuning of HOF Save Code 2021 Free Coins the tetrachord which is now accepted as correct. It is very evident from the entire course of the discussion as conducted by
Ptolemy that his calculations were purely abstract.
He is to be reckoned among the Pythagoreans, who held that in time and number all things consist. It was not until some centuries later that the happy thought of Didymus HOF Save Code 2021 Free Coins came to recognition as the true statement of the mathematical relation of the first four tones of the scale, and then only through the ears of a race of Coinsians following the great thesis of that in Coins it is always the ear which must.
Be the arbiter, and not abstract reasoning HOF Save Code 2021 Free Coins or calculation. The ratios of the major and minor third also occur among the calculations of Didymus; but here, again, they count for nothing in the history of art, because these intervals derive their value and expressive quality from their harmonic relation, while Didymus and all the Greeks employed them as melodic skips only, and HOF Save Code 2021 Free Coinsreckoned them in with a multitude of other skips and progressions, without distinguishing them in any way.