Audio Examples for Kyle Gann's book
The Arithmetic of Listening:
Tuning Theory and History for the Impractical Musician
Chapter 10: The Eleven LimitHarry Partch
First song from Harry Partch's Barstow:
Opening of Partch's The Letter:To help accustom you to different septimal and undecimal intervals, here are some different-sized seconds:
Ratio: 11/10 10/9 9/8 8/7 Cents: 165 182 204 231 And thirds, ranging from a bitterly narrow 7/6 minor third to a "normal" 6/5 minor third to an "undecimal" (11-related) "neutral" third (in-between major and minor) of 11/9, to a normal major third of 5/4, to a wide 9/7 major third:
Ratio: 7/6 6/5 11/9 5/4 9/7 Cents: 267 316 347 386 435 And fourths, leading into tritones and then fifths, actually the same sequence I use as drones in the Battle Scene of Custer and Sitting Bull:
Ratio: 21/16 4/3 27/20 11/8 7/5 10/7 16/11 40/27 3/2 Cents: 470.8 498.0 519.6 551.3 582.5 617.5 648.7 680.5 702.0
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