File:Dyadic harmonic entropy graph.png
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![File:Dyadic harmonic entropy graph.png](https://upload.wikimedia.org/wikipedia/commons/thumb/7/7d/Dyadic_harmonic_entropy_graph.png/800px-Dyadic_harmonic_entropy_graph.png?20140210174006)
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[edit]DescriptionDyadic harmonic entropy graph.png |
English: Shows harmonic entropy for dyads, horizontal axis shows the size of the interval in cents.Low points on the graph are more consonant. So for instance the dip at 2:3 shows that the interval 2:3 (pure fifth) is the most consonant dyad after the octave in this model, as expected.
This models one of the components of dissonance as a measure of the uncertainty of the virtual pitch ("missing fundamental") evoked by a set of two or more pitches. This measures how easy or difficult it is to fit the pitches into a single harmonic series. For example most listeners rank a 4:5:6:7 chord as far more consonant than 1/7:1/6:1/5:1/4. Both have exactly the same set of intervals between the notes but the first one is easy to fit into a single harmonic series. The other components of dissonance not modeled by this theory include critical band roughness as well as tonal context (e.g. an augmented second is more dissonant than a minor third although the interval, 300 cents, is the same for both).
For details of how harmonic entropy is calculated see Harmonic Entropy from Bill Sethares' book Tuning Timbre Spectrum Scale and described in more detail here and here |
Date | |
Source | File given to me by author |
Author | Paul Erlich |
Other versions | File:Dyadic harmonic entropy graph (optimized for low resolution).png |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 17:40, 10 February 2014 | ![]() | 6,000 × 2,959 (84 KB) | Robertinventor (talk | contribs) | High res version |
17:33, 10 February 2014 | ![]() | 12,000 × 5,918 (359 KB) | Robertinventor (talk | contribs) | Thicker line, and larger text for easy reading at thumbnail size | |
01:28, 1 February 2014 | ![]() | 6,000 × 2,959 (84 KB) | Robertinventor (talk | contribs) | User created page with UploadWizard |
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Horizontal resolution | 118.11 dpc |
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Vertical resolution | 118.11 dpc |
File change date and time | 18:37, 31 January 2014 |
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