... This observation, and its specific application to questions of musical harmony, goes back to Rameau -- centuries before additive synthesis was possible. ...
... It does include 15/8 -- in fact it includes every interval between 0 and 2400 cents. If you locate the point on the horizontal axis at about 1088 cents,...
... Precisely what was his observation? Did he call it "virtual pitch"? Of course, additive synthesis predates Rameau. ... Really? ... That *is* a better...
... The harmonic series had been just recently discovered. Rameau was the first to combine what are known today as different inversions of a chord into a...
... Cool. Maybe I'll check it out at the library. ... Pipe organs, chiefly. "Additive synthesis" isn't restricted to techniques that allow control over...
... The lines from a subscriber to the first exchange support those frequencies, but between exchanges, whether via copper, optic fibre, microwave, satellite,...
... Nah. Just happen to have been trained as a Telecom technician in my younger days (and used Google to check that my memory wasn't failing me). "300 Hz to...
... We can use this when we get together to listen. My digital organ software supports a constant Hz offset via the "celeste" feature. This should be ...
... Right, I was thinking it would offset all the partials, but that was a nonsense thought. However it does make sine waves as an option and can be enhanced...
... It turned out my original thought was correct and my rethinking wrong. ... Just to report the results... Well as it turned out I didn't need to make that...
... code ... range of ... results. ... decreasing ... many being ... chord with ... the "resultant" ... I'm confused. Can you explain what you did a little...
[I apologize in advance for any duplicate postings.] Dear Colleagues: I am writing to you at this time to make sure that you are aware of the availability of a...
... All the harmonic entropy work makes this seem perilously far-fetched. Sure, 11/9 can have lower entropy than several simpler ratios, and thus be a...
... sound ... to ... the ... fetched. ... far, ... on", ... Well, maybe I'm misunderstanding you, but I just mean that I can't see how it would be possible,...
... This thread started when Brad said he thought the 9/7 sounded bad, and then later, in another case, that 45/32 sounded dead on. Gene tried to say this...
Are you guys talking about single pitches 45/32 and 9/7? If so, what's the problem? 45/32 can easily be heard as dead-on relative to 9/8 or 15/8 for example,...
The IFMR doesn't fund individuals, so I doubt many xenharmonic composers and performers would be eligible, but they might be interested in sponsoring a...
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...
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