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In musical tuning and harmony, the Tonnetz (German for 'tone net') is a conceptual lattice diagram representing tonal space first described by Leonhard Euler in 1739. Various visual representations of the Tonnetz can be used to show traditional harmonic relationships in European classical music.
The analysis highlights History and Regions as prominent areas in the source structure around Tonnetz.
Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.
Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.
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The extracted context around Tonnetz shows recurring relationship patterns in the source. For example, Tonnetz → Arthur, Ben Johnston, Bernhard Riemann, Entwickelung, Ernst Naumann, Euler's Tonnetz, F-C-G-D-A-E-B-F, German, Gottfried Weber, Harmoniesystem, Hugo Riemann, James Tenney, Leonhard Euler's, Oettingen, One, Perfect, Riemann, Riemann's Tonnetz, Similar, Starting Another extracted example is Tonnetz → Brian Hyer, C-A, David Lewin, E-C, Modern, Neo-Riemannian, Richard Cohn. Use these groups to spot repeated connection types before inspecting the individual relationships.
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music relationships major theorists neo-riemannian tonal used harmonic oettingen chart chords fifths pitches minor vertices tuning german space traditional harmony
TTTA extracted 41 structured relationships around Tonnetz. Examples in this analysis include Tonnetz → is a → dual graph of Schoenberg's chart of the regions and Ben Johnston → instance of → composer-theorists. The table shows each extracted connection, where it came from and its confidence.
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Tonnetz | is a | dual graph of Schoenberg's chart of the regions | 0.90 | text |
| Ben Johnston | instance of | composer-theorists | 0.80 | text |
| James Tenney continued to develop theories | instance of | composer-theorists | 0.80 | text |
| applications involving just-intoned Tonnetze.The appeal of the Tonnetz to 19th-century German theorists was that it allows spatial representations of tonal distance | instance of | composer-theorists | 0.80 | text |
| tonal relationships | instance of | composer-theorists | 0.80 | text |
| Tonnetz | related to history | The Tonnetz | 0.60 | section |
| Tonnetz | related to history | Leonhard Euler's | 0.60 | section |
| Tonnetz | related to history | Tentamen | 0.60 | section |
| Tonnetz | related to history | Euler's Tonnetz | 0.60 | section |
| Tonnetz | related to history | Gottfried Weber | 0.60 | section |
| Tonnetz | related to history | Versuch | 0.60 | section |
| Tonnetz | related to history | Theorie | 0.60 | section |
The concept neighborhoods around Tonnetz bring nearby vocabulary together. In this analysis, examples include Theorists, Relationships and Music. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Tonnetz, one of the stronger structural bridges in this analysis connects Tonnetz with History through 1900. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.
TTTA analyzes the structure around Tonnetz to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as History & Regions, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Tonnetz · EN edition · Analysis: TopicsToTalkAbout
