Paul, Sorry so slow getting back on this. Somehow I just missed your message until now... ... Ok, so you are just suggesting omitting partials 1 through 4?...
... message ... The ... the ... the ... Still hoping for this clarification . . . ... offset ... Otherwise ... Really? The above seems to suggest you did...
... Yes, I'm quite sure of it. ... Well the above explanation refers to "partials 1 through 9". I don't use the word partial for something that isn't...
... That's the chord. Each note in the chord has partials 1 through 9. Still seems like that's just what were are describing (with partials 5 through 9). ...
... 9. Still ... through 9). ... one note, ... Yes, one note is exactly what I was talking about. ... and ... I think ... the list ... OK. Well, if you do...
Hello.... Can someone direct me to an explanation of how 'harmonic entropy' is measured? Is it based on the responses of human listeners? thanks, Kelly...
... Hi Kelly, Harmonic entropy is not based on the responses of human listeners, but in some cases predicts those responses much better than widely- accepted...
hello. I heard an interesting sound today--the far off low thud- thud-thud of a helicoptor. A little bit unusually, however, its sound was distinctly...
... Not unusual at all! Helicopter blades perform a periodic motion (around an axis, over and over again), so their spectrum must be a harmonic one. That...
Can harmonic entropy help us predict the perceived fundamental pitch of timbres with inharmonic spectra? (For example, unruly piano strings...) What other...
... Well, it can tell you how salient each potential fundamental pitch is, since each potential fundamental pitch implies a particular ratio- interpretation...
Hello Paul! (I didn't know you were around...) Thanks as usual for your thought-provoking, wide-ranging, and encouraging comments! ... related sounds in our...
... summation ... Neither. None of the difference tones do any "root tracking" on general stimuli. Rather, it's *virtual pitches* that are the audible ...
... Whoops -- just noticed this. No. By 'Harmonically-related', I mean having frequencies which approximate small integer multiples of a fundamental frequency....
Hello. I've been wondering.... When Banade lists a series of 'heterodyne' or comb tones elements such as "3P, 2P+Q...", is the "3P" component by itelf a...
... You can think of the 3P as P+P+P -- it's simply a cubic combinational tone like just like P+P+Q (=2P+Q). ... (3P- ... That's a combinational tone, but not...
Hello Paul, and anyone else who is around -- I was wondering...concerning that familiar chart of harmonic number vs. amplitude, with each sucessive harmonic...
... human errors in timing? Just ordinary equal tempermant, and an ideal case with each note struck equally, perhaps by machine... ... vs. ... volume than ... ...
In the case of equal temperament, the beating will quickly cycle you through all relative phases, so the amplitudes over time will average out to being equal. ...
Hello group. I read the statement below, and was wondering if you scholars would be kind enough to say whether it is true, and if so, where I could learn more...
... It depends in what sense you mean "add" and "multiply". It can't be in one and the same sense. ... This seems to be *least* true for phi and *most* true...
... you ... so, ... be ... I see what you mean. I'm mindful of your earlier comments on 'multiplication tones'. I saw the comment in a 'sacred geometry'...
Hi Kelly, I think Paul answered the points on phi pretty much as I would have, so I won't repeat any of that. But I'm intrigued by your synaesthetic experience...
... on... ... What does this mean? What's a 'nest'? Why don't they have one? How are you assuming these chords are tuned? I would have presumed the opposite --...
Ivor Darreg's CD "Detwelvulate" is an excellent introduction to a variety of ET's. Contact Gary Morrison, Brian McLaren or Frog Peak Music for copies. --John...
... Be aware that there's an error on that CD -- one of the pieces that is said to be in 17-equal was measured by a tuning list member, and in fact all of the...
... the tritone, > dominant-to-tonic pull, etc., are very much cultural, and those in ... Well, other cultures' tuning methods and practices are also...
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