Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the harmonic_entropy group. File :...
harmonic_entropy@yaho...
Aug 26, 2005 9:25 pm
828
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the harmonic_entropy group. File :...
harmonic_entropy@yaho...
Aug 26, 2005 9:27 pm
829
... Done and done (see last two posts). I only went to 1200 cents for the plot; otherwise the 5-cent grid lines would have been too close. The data goes to...
hello Entropy group (Paul, Carl, et al...) 1. In the chord c-e-a, with the intervals 5/4, 4/3, and 5/3: taking, for instance, the center note e: it is...
... as ... You can understand the whole chord as 1/5:1/4:1/3; therefore, the 5th harmonic of the lower note, the 4th harmonic of the middle note, and the 3rd...
Hi Kelly, ... I think Paul has given a good answer to the second question. He has also answered the first one, but I have a slightly different answer - you're...
... of ... reinforce ... On real acoustic instruments, none of the interval ratios will be *exact* (even the best tuners commit small errors, and often ...
... Yes, in whole numbers. My survey just looked at -- you would call it? -- the utonal chords? with fractions, where that pattern (not that I'm arguing it...
... Yes. ... Rarer? Meaning the total waveform repeats more rarely? ... What do you mean? C-e-a is a triad. Over? ... than ... Not really -- my work doesn't...
Paul, ... Reasonable. On a purely electronically-tuned instrument, I'd expect tuning errors small enough that beats would take several seconds to evolve, and...
Kelly, ... Do listen to Paul! He makes more sense than I do - even to me! :) ... And not only laymen. Many mathematicians see pattern as being the core...
... No. The number pattern is less commom. What exactly do you mean by waveform? ... Sorry. I should use other terminology, as I distinguish inversions from...
Hello Concerning c-e-a, Paul wrote that it is "best understood" as 5:4:3/1, whereas Yahya wrote that 12:15:20 is "most informative." Someone here (Carl?) wrote...
... to ... And Yahya makes more sense to me than just about anyone. ... what ... to ... math ... This is a key point, and an excellent amplification of your...
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