Definition of Vogel's Tonnetz
Vogel's Tonnetz is a graphical and mathematical representation of the scale range of just intonation, introduced by German music theorist Martin Vogel 1976 in his book Die Lehre von den Tonbeziehungen (English: On the Relations of Tone, 1993).
The graphical representation is based on Euler's Tonnetz, adding a third dimension for just sevenths to the two dimensions for just fifths and just thirds.
It serves to illustrate and analyze chords and their relations.
Terms mentioned above
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Frequently asked questions
What is Vogel's Tonnetz?
Vogel's Tonnetz is a graphical and mathematical representation of the scale range of just intonation, introduced by German music theorist Martin Vogel 1976 in his book Die Lehre von den Tonbeziehungen (English: On the Relations of Tone, 1993).