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#Audulus user library series#
81/80:32/31, things can get a little more complicated and so I’ve set up a spreadsheet to do the work for me, also including a representation of the interval in terms of cents using the following formula: 1200*log(n/d)/log(2) where n/d is your ratio.Īnd to make things a little more fun I’ve set up a small device using the Audulus 4 beta that uses the same principles to display both the ratio and the cents of any two notes played on the keyboard in real time.Ī background project that I’ve been busy with during the course of the last few months has been making recordings of the demo patches that I’d put together for my series of Audulus Hordijk Modules. With some of the more complex ratios, e.g. So in the case of 4/3 and 3/2 we would have 3×3=9 and 4×2=8, which gives us the ratio of 9/8, which we know is the major whole tone that we have between a perfectly tuned fourth and fifth. In his book Genesis of a Music Partch himself points out that it’s easy to calculate the ratio between two ratios by simply inverting the smaller of the two and using that to multiply the other. One thing is having all the ratios of the Partch 43-tone scale nicely presented with this keyboard layout but how does one get a handle on the ratios between the ratios?
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