right..."since many aspcects of percetion are related to proportional change, logarithmic scales are common in psychophysics" (Sound and Hearing website, on...
... We all know that certain properties hold for mistunings. That's the whole point of temperament. What you said is that the precise tuning doesn't matter....
Hi Kelly- ... There's nothing I can see here against harmonic entropy. ... "Tonal structure" sounds to me like it almost could be referring to functional...
hi Carl. One reference to this issue occurs in Richard Parncutt's important 1988 "Revision of Terhardt's Psychoacoustical Model of the Root(s) of a musical...
A leading Psychoacoustician wrote "I had a look at "Harmonic Entropy" and was immediately put off by the idea that intervals are frequency ratios (which ratio?...
The radio premiere of David Beardsley's (http://biink.com/db/index.htm) 30-minute 2004 string quartet "as beautiful as a crescent of a new moon on a cloudless...
Kelly, ... [snip] ... Good! ... Did you follow this reasoning? Do you see that it means that "double the middle term in an arithmetic progression is always...
hi Yahya, ... Yes. ... Chords of the type 3:7:10 have the coherant difference tones --which is pertinant to the list, yes?--- and are useful ways to arrange ...
... Hi Yayha, ... Sorry. You guys really keep me on my toes. I just chose very small ... Personally, I find the interval of a major seventh more consonant...
... hi Yahya - thanks for the math correction. I'm terrible at it, though love numbers... By 'height', I was referring to how, for example, the major third in...
... Not laughing, Kelly; it's an interesting pattern. Let's take your first example: Sequence: 4, 5, 6 Double the middle term: Sequence : 4, 10, 6 Rearrange:...
Hi again Kelly, ... [snip] ... Errata: in the above, I should have written: 45/36 = (5 x 9) / (4 x 9) = 5/4 80/60 = (4 x 20) / (3 x 20) = 4/3 80/36 = (4 x 20)...
Hi Kelly, ... You do *very* strange arithmetic! ;-) You often write things like: 5/4 x 3 = 15/12 This should be, instead, 5/4 x 3/3 = 15/12 since a) you can...
... But there is a correlation between the 'height' of the interval in the series (ie, eg, 5/4 x 3 = 15/12) and the difference tone, so there could be a...
Hello Harmonic Entropy List. 5:16:21:25, ...another chord which, I think, sounds interesting and unique, and which has an interesting number feature. Among...
Hi Yahya ... Hmmm...I'm not sure if I would include the latter two chords in the same category as the one I cited. And 4:6:7:14 has an octave in it, which may...
Hello. For chords such as 3:7:10, and 4:6:10, where the difference tones land on the chord tones (ie, 10-7=3, 10-6-4; Helmholtz commented on these, and I like...
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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