File:Dyadic harmonic entropy graph (optimized for low resolution).png
Original file (12,000 × 5,918 pixels, file size: 115 KB, MIME type: image/png)
Captions
Summary
[edit]DescriptionDyadic harmonic entropy graph (optimized for low resolution).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 |
High resolution version: File:Dyadic harmonic entropy graph.png File:Harmonic entropy Farey sequence.png |
Licensing
[edit]- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 05:07, 2 June 2014 | 12,000 × 5,918 (115 KB) | JeffyP (talk | contribs) | I'm here to make the world a little bit smaller ☺ | |
17:42, 10 February 2014 | 12,000 × 5,918 (359 KB) | Robertinventor (talk | contribs) | Larger size of text | ||
10:42, 5 February 2014 | 917 × 452 (41 KB) | Robertinventor (talk | contribs) | User created page with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on en.wikipedia.org
- Usage on ja.wikipedia.org