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amiika
@ -3575,14 +3575,20 @@ In addition to the transformations, Ziffers implements cyclic methods that can b
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* <ic>hexaCycle(tonnetz: number[], repeats: number = 3)</ic>: Cycles through chords in the hexa cycle
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* <ic>octaCycle(tonnetz: number[], repeats: number = 4)</ic>: Cycles through chords in the octa cycle
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* <ic>enneaCycle(tonnetz: number[], repeats: number = 3)</ic>: Cycles through chords in the ennea cycle
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* <ic>powerTowers(tonnetz: number[], repeats: number = 3)</ic>: Cycles trough chords using the power towers
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* <ic>cubeDance(tonnetz: number[], repeats: number = 3)</ic>: Cycles trough chords in a cube dance
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* <ic>powerTowers(tonnetz: number[], repeats: number = 3)</ic>: Cycles through chords using the Power Towers
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* <ic>cubeDance(tonnetz: number[], repeats: number = 3)</ic>: Cycles through chords in a Cube Dance
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HexaCycles are sequences of major and minor triads generated by the <ic>p</ic> and <ic>l</ic> transformations . Let's take the following example starting with a <ic>C</ic> chord: <ic>C -> Cm -> Ab -> Abm -> E -> Em</ic>. You can start on the chord of your choice.
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**HexaCycles** are sequences of major and minor triads generated by the <ic>p</ic> and <ic>l</ic> transformations . Let's take the following example starting with a <ic>C</ic> chord: <ic>C -> Cm -> Ab -> Abm -> E -> Em</ic>. You can start on the chord of your choice.
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OctaCycles are sequences of major and minor triads generated using <ic>p</ic> and <ic>r</ic> transformations. Starting at <ic>C</ic>, we have the following sequence: <ic>C -> Cm -> Eb -> Ebm -> F# -> F#m -> A -> Am</ic>.
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**OctaCycles** are sequences of major and minor triads generated using <ic>p</ic> and <ic>r</ic> transformations. Starting at <ic>C</ic>, we have the following sequence: <ic>C -> Cm -> Eb -> Ebm -> F# -> F#m -> A -> Am</ic>.
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Unlike HexaCycles and OctaCycles, EnneaCycles are four-note chord sequences. Considering the functions implemented for tetrachords in Ziffers, we can interpret these sequences as generated by <ic>p12, p23, and l13</ic> transformations repeatedly: <ic>C7 -> Cm7 -> Cm7b5 -> Ab7 -> Abm7 -> Abm7b5 -> E7 -> Em7 -> Em7b5</ic>.
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Unlike HexaCycles and OctaCycles, **EnneaCycles** are four-note chord sequences. Considering the functions implemented for tetrachords in Ziffers, we can interpret these sequences as generated by <ic>p12, p23, and l13</ic> transformations repeatedly: <ic>C7 -> Cm7 -> Cm7b5 -> Ab7 -> Abm7 -> Abm7b5 -> E7 -> Em7 -> Em7b5</ic>.
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**Power Towers** use four-note chords (<ic>halfdim7, m7 and 7 </ic>). The assembly chords are of type <ic>dim7</ic>. One of the many paths for succession has been chosen.
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**Cube Dance** is another graph that is built primarily with HexaCycles, except that it adds <ic>augmented</ic> triads as assemblers. As with Power Towers, one possible path has been selected.
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Both Cube Dance and Power Towers have many chords, so sometimes it will be convenient to slice up fragments of the cycles. Ziffers has some **Generative functions** (e.g., <ic>between(start, end)</ic>) that may be useful to you.
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### Examples:
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@ -3604,6 +3610,12 @@ z1("s 0 3 2 1")
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.adsr(0.1,0.1,0.13,0.15)
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.out()`,!0)}
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${e("Cube Dance swing",`
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z1("0").cubeDance([3,4,5]).sound("sine").out()`,!0)}
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${e("Power Towers with pulse",`
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z1("2").powerTowers([2,3,7]).between(5,11).sound("sine").out()`,!0)}
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## Cycles with vitamins and repetitions
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Finally, cyclic methods in Ziffers can also be vitaminized with doses of different Tonnetz. However, this opens the way to different behavior with cycles.
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@ -3629,7 +3641,7 @@ z1("0")
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By default hexaCycles and enneaCycles have <ic>3</ic> repetitions, while octaCycles has <ic>4</ic> repetitions. We have specified a **chromatic scale** although this is the **default scale**. Try changing the **repeats and scales** when playing with different Tonnetz.
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* Remark E: These cycles in Tonnetz <ic>[3, 4, 5]</ic> are implemented based on the work of [Douthett & Steinbach (1998, pp. 245-247)](https://www.jstor.org/stable/843877)
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* Remark E: These cycles in Tonnetz <ic>[3, 4, 5]</ic> are implemented based on the work of [Douthett & Steinbach (1998, pp. 245-247, 253-256)](https://www.jstor.org/stable/843877)
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## :construction: Regions and OctaTowers
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<script src="https://unpkg.com/hydra-synth"></script>
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<script type="module" crossorigin src="/assets/index-f09b1c46.js"></script>
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<script type="module" crossorigin src="/assets/index-47b9a628.js"></script>
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<link rel="stylesheet" href="/assets/index-e5dc6b43.css">
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<script id="vite-plugin-pwa:register-sw" src="/registerSW.js" defer></script></head>
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<style>
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