Yahoo Tuning Groups Ultimate Backup tuning The 79-tone qanun pitches

Dear Petr, sorry for the late reply. I was working on an Excel worksheet
regarding my 79-tone scheme that might facilitate beat-rate calculations if
developed further. I couldn't manage to complete the ratios section though,
as the program refuses to calculate the cents for the numbers linked to the
fractions in the adjacent cell. (That is to say, e. g. 81/80 resides in cell
number G110, and yet, I cannot obtain the cent values for 81/80 when I use
the cell number instead of typing the ratio directly.) Perhaps someone here
knows a workaround solution?

Anyway, I wonder if it is possible to make all the tempered 5ths
equal-beating. But I surmise that would require drastic alterations.
Instead, maybe we can focus on integer beat-rates. For starters, we could
consider 1/1 to be 260 Hz. It could be allowed to alter this reference tone
5 cents up or down.

Do you think we can make progress?

Cordially,
Oz.

----- Original Message -----
From: "Petr Paï¿½ï¿½zek" <p.parizek@chello.cz>
To: "Tuning List" <tuning@yahoogroups.com>
Sent: 21 Nisan 2006 Cuma 17:21
Subject: [tuning] Briefly for Ozan

> Hi Ozan.
>
> Recently you've asked me to think about beat ratios in your 79-tone
tuning.
> For a starting point, let me ask two questions:
> 1. What absolute frequencies would you like to choose as a starting
octave?
> If I want to examine beat rates in your tuning and make an useful whole of
> it, I have to start with two absolute frequencies and the 2/1 ratio is the
> best choice, I think.
> 2. How much do you allow me to alter the starting frequency in case I
needed
> to find meaningful beat rates? For example, if I make a 12-tone keyboard
> tuning which should start with an A4 of 440Hz at best, I know this
starting
> A4 should not be away by more than, let's say, 10 cents.
>
> Petr
>

------------------------------------------

> Hi Ozan.
>
> Can you tell me what you would prefer to choose as a starting octave? For
> the case I wanted to examine beat rates in your tuning and make an usable
> whole of it all, I have to start with some absolute frequencies whose
ratio,
> in the best case, is 2/1.
> And then, how much do you allow me to alter the starting frequency in case
I
> needed to find meaningful beat rates? For example, if I make a 12-tone
> keyboard tuning whose A4 should be 440Hz at best, I know I should not
change
> this by more than, let's say, 10 cents.
>
> Petr
>
>

-------------------------------------------

> Actually, I could try. The only thing which complicates the matter a bit
is
> the large number of tones. FYI, the 12-tone system took me almost two days
> to develop into the final form. :-D
> I was very lucky, as I've said, as there is another very similar meantone
> which DOES have these properties by itself (you can find more about these
> synchronous types of meantone in message 62320). Another problem is that I
> do these things just by hand and head as I haven't found an universal
method
> for finding similar beat rates in scales. If I managed to find one, then I
> could try to make a small utility which could do these tasks for me much
> faster. Even more, neither do I have a 79-tone keyboard nor a 79-tone "way
> of keyboard thinking", which makes it impossible for me to prove if my
> assumptions here or there are right. But if I managed to find something
like
> a common kind of procedure for all of these tunings, maybe things could
> change. Maybe when I finish my second year at school in June, then I can
> think about the question of such a procedure which could be easily
> transcribed into a small piece of code. Sadly, as I'm not a great
> programmer, I always write my software for the old-fashioned QBasic which
> runs under MSDos. So if I wanted to give such a program to you, for
example,
> someone would have to rewrite it into a more usual form beforehand.
>
> Petr

🔗Petr Parízek <p.parizek@chello.cz>

Hi Ozan.

I'm very sorry for not informing you sooner, or more precisely, not having
an idea of having to inform you sooner, that I have some sort of "reduced"
version of WinXP. As a result, I have to sincerely regret your time as I
don't use Excel. I know it sounds strange; but that's the way it is. If I
knew I should have told you, I would, of course.
Anyway, thanks for your references. I'll try to think about that a bit. In
the end, maybe I'll go for another starting octave than the degrees 0 and
79, who knows? When I was making the beat rate scheme for the 2/7-comma
meantone, I finally chose to start with degrees 9 and -3 (i.e. A4 and A3)
though the scale itself was made to start at C. It's just because this is a
more convenient way for my purposes as there are quite a lot of tuning forks
tuned to A4. I don't know what the situation is like at yours as far as
tuning forks or other tuning devices are concerned; but if you think you can
find a C4 or a C5 easily somewhere, then there's no problem to start with
the actual 1/1. I'm leaving the decision on you.

Petr

🔗Ozan Yarman <ozanyarman@ozanyarman.com>

Petr, no worries there my colleague. Mayhap you can view the Excel file from
another computer? I think it will be well worth the effort.

All in all, I have discovered that tempering the second fifth in the cycle
by 19/53 of a syntonic comma (if not 79 MOS 159-tET) is practically
identical to 33 equal divisions of 4/3 carried over to the 79th degree which
then is completed to the octave whereby the `remainder comma` is moved
between steps 45-46....

I myself consider that the 59th degree (tempered 27/16) best corresponds to
A4=440 hz. By all means, use this standard if it better suits our intent.

Cordially,
Ozan

----- Original Message -----
From: "Petr Parï¿½zek" <p.parizek@chello.cz>
To: <tuning@yahoogroups.com>
Sent: 25 Nisan 2006 Salï¿½ 8:55
Subject: Re: [tuning] The 79-tone qanun pitches

> Hi Ozan.
>
> I'm very sorry for not informing you sooner, or more precisely, not having
> an idea of having to inform you sooner, that I have some sort of "reduced"
> version of WinXP. As a result, I have to sincerely regret your time as I
> don't use Excel. I know it sounds strange; but that's the way it is. If I
> knew I should have told you, I would, of course.
> Anyway, thanks for your references. I'll try to think about that a bit. In
> the end, maybe I'll go for another starting octave than the degrees 0 and
> 79, who knows? When I was making the beat rate scheme for the 2/7-comma
> meantone, I finally chose to start with degrees 9 and -3 (i.e. A4 and A3)
> though the scale itself was made to start at C. It's just because this is
a
> more convenient way for my purposes as there are quite a lot of tuning
forks
> tuned to A4. I don't know what the situation is like at yours as far as
> tuning forks or other tuning devices are concerned; but if you think you
can
> find a C4 or a C5 easily somewhere, then there's no problem to start with
> the actual 1/1. I'm leaving the decision on you.
>
> Petr
>
>

The 79-tone qanun pitches

🔗Petr Pařízek <p.parizek@chello.cz>

🔗Ozan Yarman <ozanyarman@ozanyarman.com>

🔗Petr Parízek <p.parizek@chello.cz>

🔗Ozan Yarman <ozanyarman@ozanyarman.com>

🔗Carl Lumma <clumma@yahoo.com>

🔗Ozan Yarman <ozanyarman@ozanyarman.com>

🔗Petr Parízek <p.parizek@chello.cz>

🔗Carl Lumma <clumma@yahoo.com>