Scale II

Dear fellows,

I know that the data of a scale is not enough to assert that it will sound fine or could be acceptable. The problem is that a friend of mine wants to have his two pianos tuned to irregular temperaments. The technician has already tuned one piano to Scale I that I sent you before and the owner is happy with that irregular scale which works with -5.5, -5, -4.4, -3.5, -3 cents.

Now, for the second grand piano he wants a different irregular temperament. I prepared the second scale which is placed below and hope that you receive this information clear and ordained. Would you please examine it to see if note B that works with 7 cents might be a problem?--- Perhaps Mike Battaglia might examine the data though most of the time he is busy with messages. Another skilled member, Genewardsmith, who practice a new math. as he wrote, might take the case. I would appreciate it.

Since attachements are not accepted, I placed below the Scale II data.

Thanks

Mario---------- See below please.

June 24
-----------------------------
SCALE II Scale 12 tet Hz
Frequency and frequency Hz1/Hz2 CENTS
intervals Hz1 Hz2 Delta cents

C
1
261.8652
261.6255
1.00091623829
0.00039774
m 1.05610561056 1.58549521 1.6
(320 / 303)
C# 1.05610561056 276.5573 277.1826 0.99774415445 -0.00098081
(320 / 303) -3.90980461 96
k 1.06066017178
(9/8)^(1/2)
D 1.12016915832 293.3333 293.6647 0.99887161560 -0.00049033
(26753 / 23883) -1.95459865 198
k 1.06066017178
(9/8)^(1/2)
Eb 1.18811881188 311.1270 311.1270 1 0
(120 / 101) 0 300
p 1.06260416667
(10201 / 9600)
E 1.2625 330.6048 329.6275 1.00296495064 0.00128576
(101 / 80) 5.12542415 405
m 1.05610561056
(320 / 303)
F 1.33333333333 349.1536 349.2282 0.99978642923 -9.2763E-05
k 1.06066017178 -0.36978013 500
(9/8)^(1/2)
F# 1.41421356237 370.3333 369.9944 1.00091604990 0.00039765
k 1.06066017178 1.58516936 601.6
(9/8)^(1/2)
G 1.5 392.7978 391.9954 1.00204700603 0.00088809
m 1.05610561056 3.54022105 703.5
(320 / 303)
Ab 1.58415841584 414.8360 415.3047 0.99887137876 -0.00049043
(160 / 101) -1.95500913 798
k 1.06066017178
(9/8)^(1/2)
A 1.68025373747 440 440 1.00000000000 0
(26753 / 15922) 0 900
k 1.06066017178
(9/8)^(1/2)
Bb 1.78217821782 466.6905 466.1637 1.00113002274 0.00049049
(180 / 101) 1.95522751 1002
p 1.06260416667
(10201 / 9600)
B 1.89375 495.9072 493.8833 1.00409802052 0.00177611
(303 / 160) 7.08012868 1107
m 1.05610561056
(320 / 303)
2C 2 523.7304 523.2511 1.00091604700 0.00039765
1.58516434 1201.6

Hi Mario, it looks fine. If near-equal well temperaments are your thing,
then this'll do the trick about as well as any.

Sent from my iPhone

On Jun 24, 2011, at 3:11 PM, Mario Pizarro <piagui@...> wrote:

Dear fellows,

I know that the data of a scale is not enough to assert that it will sound
fine or could be acceptable. The problem is that a friend of mine wants to
have his two pianos tuned to irregular temperaments. The technician has
already tuned one piano to Scale I that I sent you before and the owner is
happy with that irregular scale which works with -5.5, -5, -4.4, -3.5,
-3 cents.

Now, for the second grand piano he wants a different irregular temperament.
I prepared the second scale which is placed below and hope that you receive
this information clear and ordained. Would you please examine it to see if
note B that works with 7 cents might be a problem?--- Perhaps Mike
Battaglia might examine the data though most of the time he is busy with
messages. Another skilled member, Genewardsmith, who practice a new math. as
he wrote, might take the case. I would appreciate it.

Since attachements are not accepted, I placed below the Scale II data.

Thanks

Mario---------- See below please.

June 24
-----------------------------
*SCALE II* *Scale* *12 tet Hz* ** *Frequency and* *frequency*
* * *Hz1/Hz2* * CENTS* *intervals* *Hz1* * Hz2* * Delta cents
*
**
*C*

1

261.8652

261.6255

1.00091623829

0.00039774
*m* 1.05610561056 * * ** *1.58549521* * 1.6* ** (320 / 303) * * **
* * *C#* 1.05610561056 276.5573 277.1826 0.99774415445 -0.00098081 * *
** (320 / 303) -3.90980461 * 96* *k* 1.06066017178 * * **
(9/8)^(1/2) * * *D* 1.12016915832 293.3333 293.6647 0.99887161560
-0.00049033 * * ** (26753 / 23883) *-1.95459865* * 198* *k*
1.06066017178 * * ** (9/8)^(1/2) * * * * *Eb* 1.18811881188
311.1270 311.1270 1 0 * * ** (120 / 101) 0 * 300* *p*
1.06260416667 * * ** (10201 / 9600) * * *E* 1.2625
330.6048 329.6275 1.00296495064 0.00128576 * * ** (101 / 80)
5.12542415 * 405* *m* 1.05610561056 * * ** (320 / 303) * * *
F* 1.33333333333 349.1536 349.2282 0.99978642923 -9.2763E-05 * * *k*
1.06066017178 *-0.36978013* * 500* ** (9/8)^(1/2) * * *F#*
1.41421356237 370.3333 369.9944 1.00091604990 0.00039765 * * *k*
1.06066017178 *1.58516936* * 601.6* ** (9/8)^(1/2) * * *G*
1.5 392.7978 391.9954 1.00204700603 0.00088809 * * *m* 1.05610561056
3.54022105 * 703.5* ** (320 / 303) * * *Ab* 1.58415841584
414.8360 415.3047 0.99887137876 -0.00049043 * * ** (160 / 101) *
-1.95500913* * 798* *k* 1.06066017178 * * ** (9/8)^(1/2) *
* *A* 1.68025373747 440 440 1.00000000000 0 * * ** (26753 /
15922) 0 * 900* *k* 1.06066017178 * * ** (9/8)^(1/2) * *
*Bb* 1.78217821782 466.6905 466.1637 1.00113002274 0.00049049 * * **
(180 / 101) *1.95522751* * 1002* *p* 1.06260416667 * * ** (10201
/ 9600) * * *B* 1.89375 495.9072 493.8833 1.00409802052
0.00177611 * * ** (303 / 160) 7.08012868 * 1107* *m* 1.05610561056
* * ** (320 / 303) * * *2C* 2 523.7304 523.2511
1.00091604700 0.00039765 * * *1.58516434* *1201.6*

Dear fellows,

I want to thank Mike for his useful advise regarding Scale II, the great column of tuning has talked.

Thanks

Mario

June 25

--------------------------
----- Original Message -----
From: Mike Battaglia
To: tuning@yahoogroups.com
Sent: Saturday, June 25, 2011 11:58 AM
Subject: Re: [tuning] Scale II

Hi Mario, it looks fine. If near-equal well temperaments are your thing, then this'll do the trick about as well as any.

Sent from my iPhone

On Jun 24, 2011, at 3:11 PM, Mario Pizarro <piagui@...> wrote:

Dear fellows,

I know that the data of a scale is not enough to assert that it will sound fine or could be acceptable. The problem is that a friend of mine wants to have his two pianos tuned to irregular temperaments. The technician has already tuned one piano to Scale I that I sent you before and the owner is happy with that irregular scale which works with -5.5, -5, -4.4, -3.5, -3 cents.

Now, for the second grand piano he wants a different irregular temperament. I prepared the second scale which is placed below and hope that you receive this information clear and ordained. Would you please examine it to see if note B that works with 7 cents might be a problem?--- Perhaps Mike Battaglia might examine the data though most of the time he is busy with messages. Another skilled member, Genewardsmith, who practice a new math. as he wrote, might take the case. I would appreciate it.

Since attachements are not accepted, I placed below the Scale II data.

Thanks

Mario---------- See below please.

June 24
-----------------------------
SCALE II Scale 12 tet Hz
Frequency and frequency Hz1/Hz2 CENTS
intervals Hz1 Hz2 Delta cents

C
1
261.8652
261.6255
1.00091623829
0.00039774
m 1.05610561056 1.58549521 1.6
(320 / 303)
C# 1.05610561056 276.5573 277.1826 0.99774415445 -0.00098081
(320 / 303) -3.90980461 96
k 1.06066017178
(9/8)^(1/2)
D 1.12016915832 293.3333 293.6647 0.99887161560 -0.00049033
(26753 / 23883) -1.95459865 198
k 1.06066017178
(9/8)^(1/2)
Eb 1.18811881188 311.1270 311.1270 1 0
(120 / 101) 0 300
p 1.06260416667
(10201 / 9600)
E 1.2625 330.6048 329.6275 1.00296495064 0.00128576
(101 / 80) 5.12542415 405
m 1.05610561056
(320 / 303)
F 1.33333333333 349.1536 349.2282 0.99978642923 -9.2763E-05
k 1.06066017178 -0.36978013 500
(9/8)^(1/2)
F# 1.41421356237 370.3333 369.9944 1.00091604990 0.00039765
k 1.06066017178 1.58516936 601.6
(9/8)^(1/2)
G 1.5 392.7978 391.9954 1.00204700603 0.00088809
m 1.05610561056 3.54022105 703.5
(320 / 303)
Ab 1.58415841584 414.8360 415.3047 0.99887137876 -0.00049043
(160 / 101) -1.95500913 798
k 1.06066017178
(9/8)^(1/2)
A 1.68025373747 440 440 1.00000000000 0
(26753 / 15922) 0 900
k 1.06066017178
(9/8)^(1/2)
Bb 1.78217821782 466.6905 466.1637 1.00113002274 0.00049049
(180 / 101) 1.95522751 1002
p 1.06260416667
(10201 / 9600)
B 1.89375 495.9072 493.8833 1.00409802052 0.00177611
(303 / 160) 7.08012868 1107
m 1.05610561056
(320 / 303)
2C 2 523.7304 523.2511 1.00091604700 0.00039765
1.58516434 1201.6