Merge pull request #115 from edelveart/tonnetz-docs
docs(tonnetz): Rewrite introductory paragraph to avoid redundancy of …
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@ -6,9 +6,9 @@ export const ziffers_tonnetz = (application: Editor): string => {
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return `
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# Tonnetz
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The Riemannian Tonnetz is a geometric representation of tonal relationships for applying mathematical operations to analyze harmonic and melodic relationships in tonal music. Ziffers includes an implementation of live coding tonnetz developed together with <a href="https://github.com/edelveart/TypeScriptTonnetz" target="_blank">Edgar Delgado Vega</a>. Live coding tonnetz implementation **combines 67 transformations** to **new explorative notation** that includes all of the traditional triad transformations (PLR functions), extended PLR* transformations, film music transformations and seventh transformations (PLRQ, PLRQ*, ST).
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The Riemannian Tonnetz is a geometric representation of pitches where we apply mathematical operations to analyze harmonic and melodic relationships in tonal music. Ziffers includes an implementation of live coding Tonnetz developed together with <a href="https://github.com/edelveart/TypeScriptTonnetz" target="_blank">Edgar Delgado Vega</a>. Nevertheless, our implementation allows you to play in different chord complexes and **combine 67 transformations** with **new exploratory notation**. You have at your disposal the sets: traditional PLR, film music, extended PLR* and functions for seventh chords PLRQ, PLRQ*, ST.
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Tonnetz can be visualized as an <a href="https://numeric-tonnetz-ziffers-6f7c9299bb4e1292f6891b9aceba16d81409236.gitlab.io/" target="_blank">numeric lattice</a> that represents the twelve pitch classes of the chromatic scale. The numeric visualization is a fork of <a href="https://hal.science/hal-03250334/" target="_blank">Web tonnetz</a> by Corentin Guichaou et al. (2021). The lattice can be arranged into multiple tonal pitch spaces which are all supported in Ziffers implementation.
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Tonnetz can be visualized as an <a href="https://numeric-tonnetz-ziffers-6f7c9299bb4e1292f6891b9aceba16d81409236.gitlab.io/" target="_blank">numeric lattice</a> that represents the twelve pitch classes of the chromatic scale. The numeric visualization is a fork of <a href="https://hal.science/hal-03250334/" target="_blank">Web tonnetz</a> by Corentin Guichaou et al. (2021). The lattice can be arranged into multiple pitch spaces which are all supported in Ziffers implementation.
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In addition, we have included common graphs and cycles in Neo-Riemmanian theory: HexaCycles (<ic>pl</ic>), OctaCycles (<ic>pr</ic>), Enneacycles (seventh chords), Weitzmann Regions (triad chords), Boretz Regions (triad chords) and OctaTowers (tetrachords). You can explore each of these graphs in great generality over different Tonnetz.
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@ -126,7 +126,7 @@ z3('e __ 4 s 0 e 1 2 s')
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true,
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)}
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## Different Tonnetz
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## Different Tonnetz, Chord Complexes
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At Ziffers we have strived to have fun and inspire you by exploring new sounds that Neo-Riemannian functions can offer you by changing only one parameter: The Tonnetz in which your chords move. By default, the Tonnetz has this form: <ic>[3, 4, 5]</ic>. Let's try an example as it will clarify this idea for us.
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