They're all good points and different sides of an interesting
musical coin. Nice to see all these points being pointed out.
Nice to be reminded of this stuff, it's like review for me.

Aritmetic, non-arithmetic, old and new, dissonant or consonant,
serious or tongue in cheek, or cheek by jowl--- all part of 
the pallette.

Keep making all those points. Very useful, makes for a good 
exchange of iedas. Guess that's what keeps me coming back here.
Oh what fun!


-Partev


=====================================================


--- PeterArmstrong@aya.yale.edu wrote:

From: PMA 
To:  csound@lists.bath.ac.uk
Subject: Re: [Csnd] Re: Xenakis etc
Date: Fri, 21 Jan 2011 20:39:17 -0500


Perhaps the point I was trying to make didn't need making.
I meant to remind, that the older music theory arithmetic,
while now for good reason regarded as obsolete, was not
actually senseless.  (But maybe "senseless" was not what
an earlier post had implied.)


> On Fri, Jan 21, 2011 at 6:07 AM, Partev Barr Sarkissian
>  wrote:
>> Pythagoras and proportions or divisions of frequency intervals
>> and how they relate to one another.
>>
>> -Partev
>>
>> ==========================================================
>>
>>
>> --- PeterArmstrong@aya.yale.edu wrote:
>>
>> From: PMA 
>> To:  csound@lists.bath.ac.uk
>> Subject: [Csnd] Re: Re: Re: Xenakis etc
>> Date: Tue, 18 Jan 2011 20:56:07 -0500
>>
>> Why all this talk of traditional music theory being somehow not
>> mathematical?
>> Aren't we simply seeing two styles of arithmetic: an older, 1-based and
>> adding
>> inclusively; and our newer, 0-based and adding exclusively?
>>
>> And of course we're uncomfortable with the old.  If there's more to it
>> than this,
>> then of course I'm missing what.
>>
>> Let's just all be glad Harmony I doesn't *add* with those Roman numerals!
>>
>>
>> Richard Dobson wrote:
>>> On 19/01/2011 00:53, Robert or Gretchen Foose wrote:
>>>> "add"..an example of operator overloading..the same as Python (et al.)
>>>> use "hot"+"dog" = "hotdog". There the '+' is used for joining two
>>>> strings. In music 'add' is a matter of combining two theoretical
>>>> structures (thirds) into one larger structure. Quite similar, but NOT
>>>> identical, to its use in math. I agree that the similarity is close
>>>> enough to be misleading, and/or confusing..but only if you expect the
>>>> two areas of knowledge to be the same.
>>>
>>>
>>> As a final footnote, I will "add" that I will believe it when:
>>>
>>> the standard pack of playing cards is redesigned so that the suit order
>>> is not A,2,3...10,J,Q,K  but A,1,2...9,J,Q,K. Redefining every card game
>>> on the planet is but a small price to pay!
>>>
>>>
>>> Richard Dobson
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
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>>> csound"
>>>
>>>
>>
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>>
>>
>>
>>
>>
>> _____________________________________________________________
>> Netscape.  Just the Net You Need.
>>
>>
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> 
> 
> 


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