| 1. | Any departure from this ideal harmonic series is known as inharmonicity.
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| 2. | The resulting set of pitches is a new harmonic series altogether.
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| 3. | Without valves, only the notes within the harmonic series are available.
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| 4. | This last summation is the harmonic series, which diverges.
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| 5. | An example of a conditionally convergent series is the alternating harmonic series.
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| 6. | Although the harmonic series does diverge, it does so very slowly.
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| 7. | The sum on the right is the harmonic series, which diverges.
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| 8. | Mutations usually sound at pitches in the harmonic series of the fundamental.
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| 9. | This offered more possibilities for playing notes not on the harmonic series.
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| 10. | A closed cylinder vibrates at only the odd members of its harmonic series.
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