[This is a cross-post from tuning-math (message 2462).] ... Did Goldstein ever do experiments on simultaneous tones? ... Well, here's one person looking...
... Jeez. I should have my Mom send me the papers. What I mean to ask is, did he ever show s shrinking for just intervals, or for pairs of complex tones (as...
I'm not sure what you could be thinking as regards s shrinking for just intervals. As for pairs of complex tones, that would have been well outside G's subject...
... The basis is my very strong intuition, I guess. This intuition served me extremely well getting through AHSMEs and a Yale B.S. with very little work or...
... Okay. ... ? ... I tend to trust your intuition, too. ... All the things I can think of that this could mean seem like BS to me. I think it's clear that...
... Sure . . . also, remember the personality tests? I'm a P (perceiving), you're a J (judging). I guess we make a good team . . . ... Far from it -- keep it...
_The Science of Musical Sound_ by John R. Pierce, Freeman, 1992 edition. Pierce _used_ to subscribe to the Helmoltz/Plomp/Sethares school, but he describes how...
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... Paul, I found a (1983, I think) copy of this book, published by Scientific American Library at the library. Read Chap 5 (Helmholtz and Harmony) and Chapter...
nice to hear from you, jeremy. i think kraig was trying to get your attention recently, i think on metatuning. did you mean '(approximate) harmonicity' rather...
... JG: Found it, thank you. ... JG: I just meant harmonic multiples as integer multiples of a fundamental (hence ocuuring at "arithmetically", as opposed to...
... check those two chapters in pierce again. ... right, as long as the partials still 'line up'. they do because what i'm talking about here is stretching the...
Hello. I'm a Calculas II student in a small university. I'm on a mission to find out the direct relationship between the harmoic series (sum(1/n)) and music....
just a quote i found in terhardt's article that shows he thinks much like i do about one issue: http://www.mmk.ei.tum.de/persons/ter/top/harmony.html ...
... chords of ... hearing a ... caused by ... i don't see how the presence of virtual pitches would help explain this. virtual pitches occur at the missing...
... I thought you were suggesting a 2nd-order virtual pitches, if you will. ... Is there a name for 2*a-b combination tones? These are louder than a-b and a+b...
The 2*a-b difference tone is called the "cubic difference tone" in most works I've read. I hear slow beats, warbles, etc. in just chords and dyads on my PC,...
... How could a difference tone possibly be audible binaurally? I thought binaural tests were one of the classic ways researchers showed virtual pitch to be...
... make ... cubic difference tones are thought to come from a higher level of processing than the non-linearities that cause most other combinational tones. ...