Klarinet Archive - Posting 000640.txt from 1998/11

From: "Hiroshi Nagatsuma" <hiroshi@-----.jp>
Subj: RE: [kl] Re: A few "cents" worth please - was _[kl]_Concert_A_pitch,_again?
Date: Tue, 17 Nov 1998 20:47:42 -0500

My further question. I would like to have knowlegeable people's instruction.
Octave means the frequency is doubled: if A1@-----.
Equal temper means each interval is devided by 1/8 th root of 2, namely
1.0905077...(it becomes 2 by self-multiplying 8 times),then
B1@-----. If this is true(I think so), intervals are
devided like this by cents not equaly but somewhat logarithmically.I know an
equal tempered interval is divided to 100 cents. But it does not seem
equally devided.For example if A1=440Hz and B1=479Hz, 1cents does not mean
(479-440)/100@-----. Maybe 1/100 root of 1/8 root of 2, namely 1/800 root of
2@-----. If this is true, a tone 4 cents higher than 440Hz is
1/200(@-----. By this guess 442Hz is
5.234...(@-----.
("ln" means natural logarithm).I am not sure this is right! Puzzled.?????
Too much arithmetics???
FYI:I read somewhere that human hearing is logarithmic not linear.
-----Original Message-----
$B:9@-----.com>
$B08@-----.org>
$BF|;~(B : 1998$BG/(B11$B7n(B18$BF|(B 9:36
$B7oL>(B : [kl] Re: A few "cents" worth please - was
_[kl]_Concert_A_pitch,_again?

>Thanks for starting to explain "cent". I thought it was hundredths - but
>then I hadn't thought about it much. Would the faculty here at Klarinet
>University please expand on what this term means. We didn't do
>electronic tuners when I was growing up - pitch forks with engraved
>numbers on the side - no mention of cents. The pitch fork was A=440, I
>remember. Thanks.
>Paulette
>
>On Mon, 16 Nov 1998 20:02:55 -0800 David Renaud
><studiorenaud@-----.com> writes:
>>At A440, there is 4 cents between A439 and A440
>>
>>> I let my students tune to my tuner but
>>> I
>>> first checked the pitch of the piano and (what do you know?) the
>>piano was
>>> actually tuned FLAT by a few cents - the meter indicated 3 cents
>>flat from
>>> A440,
>>> whatever that works out the be.
>>>
>>> > d) This worries people with an engineering or scientific
>>background more
>>> > than musicians. (This is something I have observed locally.)
>>>
>>> I can second that - I'm an engineer and it does bother me somewhat.
>>However,
>>> I'm learning that my ear and my voicing automatically adjust for
>>intonation
>>> if I tune just a couple of cents sharp (it's easy to adjust down but
>>nearly
>>> impossible to adjust up).
>>>
>>> Kevin Bowman
>>> Clarinet and Saxophone Instructor,
>>> Rochester Conservatory of Music, Rochester, MI
>>> and
>>> Saxophones, Clarinet and Flute,
>>> B-Side Blues Project
>>>
>>>
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