I'm sure you've noticed that a four-note train whistle is approximately a minor seventh chord (something like e3-g3-b3-d4. Please don't ask me how it's tuned!...
... Hi Kelly, Here in Australia, I've only ever heard a one- or two-note whistle; the second note arising by Doppler Shift when the train passes you. Whilst...
Hi Yahya - I guess this is a bit off topic. (Do you know a good site for misc. acoustics, not so centered on tuning? ...though I think there is some...
Hi Kelly, I don't think this theory is a good predictor of consonance in general - consider when two same ratios are stacked on top of each other. This is ...
Considering two spellings of the chord e4-Bb4-f5 (great chord: tonic, dominant, and subdominant combined!), the spellings being 7-10-15, or 10-14-21 They seem...
Hi Kelly, ... Traditional JI theory says that lower numbers in the reduced fractions mean lower dissonance. So, a rough guide would be the maximum of all the ...
Hello. Thanks for your comments, Magnus and Yahya. I have a ... To have "only odd partials," why not just 'build' a harmonic series, with odd numbers only,...
Hi... ... general > consider when two same ratios are stacked on top of each other. This is> > generally dissonant for any ratio with prime limit ... is simply...
Hi Kelly, ... No need. I'm talking of an _instrument_ that produces only the first, third, fifth, seventh, etc multiples of the fundamental tone as overtones ...
hi Yayha - this is good information, as I'm studying roughness. There's stuff here I've never seen textbooks at a college library. One initial question...
Hi Kelly, ... The intervals of the second chord, *before reduction*, are 14/10, 21/14 and 21/10. Wouldn't that also be a consideration? No, honestly, I don't...
Hello. Referring back to Yahya's and Paul's comments (mssgs 840 and 843) about the mathematical impossibitity of a note in a chord representing two numbers...
... Hi Kelly, Let's see if I can understand what you're driving at! Let's take a minor triad 10:12:15, with internal ratios 6/5, 5/4, 3/2. Each of the first...
hi Yahya ... and > > 843) about the mathematical impossibitity of a note in a chord > > representing two numbers (eg, a note which is the upper note of one > >...
Hi Kelly, ... No, I'm saying that among the various tones you hear in the mix are some which have the same relations _as if_ they were fundamental and ...
hi Yahya. It's still not clear to me, from what you and Paul have said on this subject, what intervals one actually hears with, for example, "12:15:20"....
... Hi Kelly, If you thought that's what we meant, I think you may have misunderstood us. ;-) ... Not at all! We *do* hear the relations 5:4 between the notes...
... Hi Kelly, I guess my answer is that not all chords have a singular representation. In fact, that's what harmonic entropy measures in a way -- how much...
hi Yayha- (I"m out of town. Just a brief response.) ... 5/4 > > and 4/3, because 5 and 3 can not exist on the same note. ... Aha! That's what I was driving...
hi Yahya - I've had more time to study your response... ... 5/4 > > and 4/3, because 5 and 3 can not exist on the same note. ... 275 Hz...are you referring to...
... There are a lot of posts about it in the archives. Exactly how to find them is another question. As I recall, one problem was how to partition the 2-D...
hello harmonic entropy list. Reading Helmholtz, and reviewing where the semitone clashes occur in the partials of various intervals, does anyone know if the...
... Okay, well, a just intonation point is at the bottom of a basin of a dissonance graph. But so is the point where one basin meets another. So a zero first...
hi Paul (for when you come back), or others. I can't locate the old thread, but thanks for suggesting the above spelling for the chord d4- f#-b4-E5. I don't...
Hi Kelly, ... Exactly! ;-) ... The tetrad am : bm : cn : dn has the property that dn/am = n/m if and only if a = d. (Here juxtaposition means multiplication:...
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