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Techniques of Polytempic Polymicrotonal Music Creation: My Portfolio of Scores at the Internet Archive, part VIII

Examples of Polytempic Polymicrotonal Music are found in my archive . Please explore my Internet Archive.  So, rather than take snapshots of sections out of context and paste them in each blog, I thought that the interested reader would rather look through my work to see how I have used Polytempic Polymicrotonality , polymeter , and polyrhythms and microtones in general.  List of Works in Score Thoegersen freely distributes his scores via the   Internet Archive . Scores for all the works below are available there. Dates indicate composition. Drumset 3:4:5:7, for Solo drumset #1 1995 Solo for Drumset #2 2022 Solo for Drumset #3 2022 Solo for Drumset #4 2022 Solo for Drumset #5 2022 Solo for Drumset VI 2022 STSOMA Drumsolo #7 2022 solo for drumset #8 2022 Solo for Drumset #9 2022 Solo for Drumset X: polymixtures 2022 Drumset solo #11 2022 Vocals and other instruments Always Sleeping 2006 Facebook Song Cycle: What's on your mind, 2017 Solo works Dreams Like Little Movies,...

Techniques of Polytempic Polymicrotonal Composition: Division of the Whole Tone, part VII

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  What is a Whole Tone, and Why Divide It? Anaximander Anaximander believed in a concept called " unity ," wherein infinite divisions were possible, and apparently, this philosophy included divisions of musical intervals, such as the tone. Aristoxenus was also an advocate of this philosophical standpoint. "All and innumerable worlds are infinite in possible harmonies."  Conventional wisdom states that a whole tone is composed of two semitones that range from ratios 11:10, at 165 cents, all the way through 8:7, at 234 cents. Generally, the ratio 9/8 is the most accepted version at 204 cents. If we are not speaking about rational tunings or string lengths from the monochord , then we are referring to 12tet, where the whole tone is simply 200 cents.  Although I went through a bit of the history of tuning in my thesis, Polytempic Polymicrotonal Music: the road less traveled, 2012, I just want to discuss my personal thoughts on pitch.  I am not a tuning/temperament ...