Musically, if a voice-leading graph is regular, this tells us that the level of harmonic choice is consistent throughout. For example, the hexatonic scale known sometimes as the ‘symmetrical augmented’ scale, which is constructed by alternating between intervals of a minor third and a semitone, produces a regular graph, shown in figure 1(b).
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music technology
2 months ago
Scale Navigator - a web app for navigating scales and generating chordsCHROME ONLY -- for now. Monologues from the play Hello, Goodbye, Peace 1. Coffee Slave - Comedic Monologue, Female. Turkey Day - Comedic Monologue, Female. Fire the Boys - Comedic Monologue, Female. New Year's Wish - Dramatic, Romantic Monologue, Female. Grow Up Humanity - Seriocomic Monologue, Female. Monologues for teenage females from plays. I would love to get some feedback from this community on my Scale Navigator harmony tool: it's a graphical interface implementation of some of the ideas I found in Dmitri Tymoczko’s fantastic paper Scale Networks and Debussy. Tymoczko describes a few different configurations of scale network, but I chose to limit the scope of this particular iteration of the Scale Navigator to just include the 7-note 'Pressing' scales: Diatonic, Acoustic, Harmonic Major and Harmonic Minor. Scales are connected if one can be transformed to the other by altering one note by a single semitone. E.g. C Diatonic has six notes in common with G Diatonic, differing by only the semitone between the F and the F♯, respectively. Tymoczko calls this relationship “maximally intersecting voice leading.” Diatonic scales have 6 neighbors, and the other three scale classes all have four. The Scale Navigator is an interactive visualization of this network: the selected scale is in the center of the interface, radially surrounded by adjacent neighbor scales. Clicking on an adjacent scale (or scalar superset) selects a new scale. Each scale in the Scale Navigator is represented by a clickable polygonal-shaped node. The scale’s number of adjacent neighbors determines the number of sides its shape has (hexagon = Diatonic because they have 6 locally adjacent neighbors, etc). The root of each scale determines its node’s color (I mapped the color wheel to the 12 chromatic notes arranged in fifths). For fun, I added a chordal element to the interface: the Scale Navigator’s chord generator draws from a lexicon of jazz chord voicings catalogued in Bill Boyd’s Jazz Chord Progressions. To generate a new chord, the user clicks on the currently selected scale, one of its adjacent scale neighbors, or one of a list of “scalar supersets” found in the upper right of the interface. The chord generated will be a subset of the scale clicked. Go ahead and play with some of the settings on the lower left corner of the screen to get different chordal results! Future iterations of this project will include not only all Scales of Limited Transposition, but all possible combinations of the equally-tempered 12 notes (Ian Ring has a fantastic write-up found here). I would absolutely appreciate any feedback you might have, so here's a link to a user survey. If I can afford the airfare to Brazil I'll be taking a demo of the Scale Navigator to this year's conference for New Interfaces for Musical Expression (NIME for short), so maybe I will see you there!
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