| 41. | Then, if we add all these convergent series, we'd get the harmonic series, a divergent one.
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| 42. | However, if we add all these fractions up, we will get a part of the harmonic series, which diverges.
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| 43. | Accomplished alphornists often command a range of nearly three octaves, consisting of the 2nd through the 16th notes of the harmonic series.
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| 44. | The "'escala nordestina "'( ) are a body of musical scales commonly used in the harmonic series.
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| 45. | The output of this stage is a set of virtual pitches that correspond approximately to the fundamentals of approximately harmonic series of pitches.
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| 46. | In terms of what one hears, each octave in the harmonic series is divided into increasingly " smaller " and more numerous intervals.
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| 47. | Of course, the above " equation " is not necessary because the harmonic series is known ( by other means ) to diverge.
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| 48. | He also proved that the harmonic series does not converge, and provided a proof that Wallis'product for \ pi is correct.
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| 49. | From B 1 down lies the " pedal range ", i . e ., the fundamentals of the instrument's harmonic series.
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| 50. | The addition of valves made it possible to play low in the harmonic series of the instrument and still have a complete selection of notes.
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