All the Pentatonics in 10EDOIn 12EDO, the most interesting scales are (I think) the ones that use about half the notes: 5-, 6- and 7-note scales. In 10EDO, then, it makes sense to look at 5-note scales at least, and perhaps those with 4 and 6 notes. Today we'll look at all the available pentatonics in 10EDO and some relationships between them. The Scheerbart TuningsI'm currently working on a project involving mixing 10-EDO with symmetrical structures in 12-EDO. I thought it might be instructive for me to look at tunings that mix pitches from these two. The project is inspired by visionary modernist Paul Scheerbart so I've decided to call them Scheerbart Tunings. Free synthesizer (sort of) inside! Some Chords from 10 EDO10 EDO divides the octave into ten equal parts instead of the usual twelve. We may as well number these notes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. This is a pretty tuning that doesn't take too much getting used to. Let's create some harmony out of it. Whole Tone Harmony Part IIIWe have been thinking about dividing the 12 notes of our ordinary tuning system (12-EDO) into two distinct regions, each of which is a whole-tone scale. Each region can be thought of as a tuning in itself, 6-EDO, the equal division of an octave into six notes. In this post we consider how the Augmented Hexatonic can help us bridge the gap between these two regions. Whole Tone Harmony Part II: Added NotesThis post is a continuation of the last one in which we look at supplementing the rather limited whole-tone harmony with one or more added notes. The resulting chords take us away from "pure whole-tone harmony" in the same way that, for example, secondary dominants and other borrowed chords take us away from "pure diatonic harmony" while simultaneously enriching it. Whole-Tone Harmony Part IImagine your instrument lost exactly half of its notes, and specifically every alternate one. It might make sense to say you now had an instrument turned not in 12-TET but in 6-TET. In a society that only had such instruments, which harmonies would be available to them? New Album: Centaur, based on Zeta Centauri tuning and 3x4 knight's toursToday I've released a 12-track, 3-hour album based on Margo Schulter's Zeta Centauri tuning. Listen to it on Bandcamp while you read my slightly geeky notes about it. A Modernist ManifestoOf course a modernist manifesto in 2020 is a bit absurd (pun half-intended), but something has to be done -- or, to put it another way, we have to start somewhere. Postmodern culture, which has produced so few things that meant anything to me, has been stone dead for quite some time but its ability to envelop and ironize anything makes it hard to transcend. It's a blockage that needs clearing away. I've always written manifesti of some kind at times like these, even if they were usually private, so here goes. Found FormI'm currently trying to prise myself away from my latest project and release it -- more on that soon, I hope -- and thinking about the next one. It got me onto the subject of how I handle large-scale forms and I thought it might be useful to try to set that down. Most of this blog is about the local details involving a note, scale or chord so this is a bit of a departure. The "Rite of Spring chord" and some variationsSince shifting most of my attention from guitar to piano, I've been enjoying (among other things) the ability to play two kinds of chord: those with lots of notes and those with notes that are close together. In this post we look at a family of 7- and 8-note voicings (guitarists may be able to apply these by dropping some notes or, of course, by playing with someone else). |