Less than two cents

Dear friends,

Some time ago, distinguished members of the tuning list stated that chords formed by scale tones whose components have only 2 or 3 cents or about 2 cents, do not show any difference in sound regarding their corresponding e-tempered chords.

The most favorable opinion was that it is a difficult job to detect any difference. At that time I had given the Piagui scales data where one of them showed about plus and minus 2 cents.

Last week I reached again to a different conclusion after two concert pianos were tuned to the e-tempered and the Piagui 12 scales.

The Piagui 12 scale works with 10 equal narrow fifths each having one tenth of the Pythagorean comma plus 2 pure fifhs due to G = 1.5, F = 4/3, 2C = 2. This rare option was put to work with the expectance of listening almost 12 pure fifths since the offsets of ten equal narrow fifths are only 2.346 cents. The greater values are only plus and minus 1.955 cents.

The case is that two pianists compared the audio response of the same chords, I was the third man and don't play piano though my ear sensibility to frequency is normal. All of us detected the theoretical plus and minus 1.955 cents difference. The remaining tone cents are + and - 1.173 and lesser than this value.

Three men listening the pianos without knowing which one of them is being listened, provided a certain conclusion.

I think that if we compare one single e-tempered tone frequency with another 2 cents discrepant tone, may be in this case we cannot detect any difference. Besides we had positive and negative tone cents and at this respect I cannot give any opinion for I am not much acquainted to this matter.

I wiould appreciate it if you could give me the information I need in order to clarify this matter.

Thanking in advance,

Mario Pizarro

piagui@...

Lima, August 19, 2009

I fail to see where Mario Pizzaro is going with his constant
manipulations of this "Paigui scale" which has finally become
indistinguishable from 12-tone historical well temperaments of Europe
bordering 12-equal. What is this Paigui? How has its scale come to
resemble the quotidian Western tone-system so much in a year? Does it
deserve to be dubbed this way anymore since it is practically none
other than the 12-tone scale of Western music?

I believe this topic is going nowhere in particular, contributes
nothing refreshingly new to tuning list and should be checked by the
moderators.

Cordially,
Oz.

✩ ✩ ✩
www.ozanyarman.com

On Aug 20, 2009, at 2:07 AM, Mario Pizarro wrote:

>
>
> Dear friends,
>
> Some time ago, distinguished members of the tuning list stated that
> chords formed by scale tones whose components have only 2 or 3
> cents or about 2 cents, do not show any difference in sound
> regarding their corresponding e-tempered chords.
>
> The most favorable opinion was that it is a difficult job to detect
> any difference. At that time I had given the Piagui scales data
> where one of them showed about plus and minus 2 cents.
>
> Last week I reached again to a different conclusion after two
> concert pianos were tuned to the e-tempered and the Piagui 12 scales.
>
> The Piagui 12 scale works with 10 equal narrow fifths each having
> one tenth of the Pythagorean comma plus 2 pure fifhs due to G = 1.5,
> F = 4/3, 2C = 2. This rare option was put to work with the
> expectance of listening almost 12 pure fifths since the offsets of
> ten equal narrow fifths are only 2.346 cents. The greater values are
> only plus and minus 1.955 cents.
>
> The case is that two pianists compared the audio response of the
> same chords, I was the third man and don't play piano though my ear> sensibility to frequency is normal. All of us detected the
> theoretical plus and minus 1.955 cents difference. The remaining
> tone cents are + and - 1.173 and lesser than this value.
>
> Three men listening the pianos without knowing which one of them is
> being listened, provided a certain conclusion.
>
> I think that if we compare one single e-tempered tone frequency with
> another 2 cents discrepant tone, may be in this case we cannot
> detect any difference. Besides we had positive and negative tone
> cents and at this respect I cannot give any opinion for I am not
> much acquainted to this matter.
>
> I wiould appreciate it if you could give me the information I need
> in order to clarify this matter.
>
> Thanking in advance,
>
> Mario Pizarro
>
> piagui@...
>
> Lima, August 19, 2009
>
>
>