Klarinet Archive - Posting 000664.txt from 1998/11

From: Roger Shilcock <roger.shilcock@-----.uk>
Subj: RE: [kl] Re: A few "cents" worth please - was _[kl]_Concert_A_pitch,_again?
Date: Wed, 18 Nov 1998 06:21:38 -0500

I'm not sure how cents work without looking it up, but the *twelfth* root
of 2 is what is used in equal temperament, giving 12 "logarithmically"
equal semitones.
Roger Shilcock

On Wed, 18 Nov 1998, Hiroshi Nagatsuma wrote:

> Date: Wed, 18 Nov 1998 10:47:42 +0900
> From: Hiroshi Nagatsuma <hiroshi@-----.jp>
> Reply-To: klarinet@-----.org
> To: klarinet@-----.org
> Subject: RE: [kl] Re: A few "cents" worth please - was _[kl]_Concert_A_pitch,_again?
>
> 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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