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| — | cherubini_counterpoint_and_fugue:on_double_counterpoint:inversion_at_the_fourteenth [2018/08/11 01:15] (current) – created brian |
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| | ====== On Double Counterpoint ====== |
| | ===== First Section: Double Counterpoint in Two Parts ===== |
| | ==== Inversion at the Fourteenth ==== |
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| | It remains, finally, to speak of double counterpoint at the //fourteenth// or //seventh//. Here are two series of figures which give the inversions: |
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| | ^ Counterpoint | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | |
| | ^ Inversion | 14 | 13 | 12 | 11 | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | |
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| | According to the above combinations, two //thirds// in succession must be avoided, particularly by similar movement; since, in transposition, they produce two //fifths//. Every concord, as well as the //octave// and the //sixth//, which become discords when inverted, should be prepared and resolved either by the //third//, or by the //fifth//. |
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| | {{ :cherubini_counterpoint_and_fugue:ex177a-1.png?650 |}} |
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| | {{ :cherubini_counterpoint_and_fugue:ex177a.mp3 | :cherubini_counterpoint_and_fugue:ex177a.ogg |}} |
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| | {{ :cherubini_counterpoint_and_fugue:ex177b.mp3 | :cherubini_counterpoint_and_fugue:ex177b.ogg |}} |
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| | The range of the //fourteenth// serves as the limit of this counterpoint. |
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| | > Extended example of counterpoint at the fourteenth |
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| | {{ :cherubini_counterpoint_and_fugue:ex178a-1.png?800 |}} |
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| | {{ :cherubini_counterpoint_and_fugue:ex178a.mp3 | :cherubini_counterpoint_and_fugue:ex178a.ogg |}} |
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| | {{ :cherubini_counterpoint_and_fugue:ex178b-1.png?800 |}} |
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| | {{ :cherubini_counterpoint_and_fugue:ex178b.mp3 | :cherubini_counterpoint_and_fugue:ex178b.ogg |}} |
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| | > 2nd manner of inverting: Transpose the theme a //seventh// above, and the counterpoint an //octave// below |
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| | {{ :cherubini_counterpoint_and_fugue:ex178c-1.png?800 |}} |
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| | {{ :cherubini_counterpoint_and_fugue:ex178c.mp3 | :cherubini_counterpoint_and_fugue:ex178c.ogg |}} |
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| | > 3rd manner of inverting: Transpose the theme, and the counterpoint, a //seventh// below |
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| | {{ :cherubini_counterpoint_and_fugue:ex178d-1.png?800 |}} |
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| | {{ :cherubini_counterpoint_and_fugue:ex178d.mp3 | :cherubini_counterpoint_and_fugue:ex178d.ogg |}} |