It is not the exact power of 2 from 15 bits on.
2 **15 is 32767, but IBM only allowed 32760 cylinders.
2**16 is 64K, but IBM only allowed 65.520 cylinders.
EAVs are a multiple of 1113 cylinders under 2 **18 then 2 **20 limits
and eventually 2 **28, I listed the highest multiple.

On Tue, Jun 11, 2013 at 7:12 PM, DASDBILL2 <[email protected]> wrote:
>
> The numbers of cylinders (column 2) that can be represented by the number of 
> bits in column 1 are correct from 7 to 14 bits, but the table has slightly 
> wrong values from 15 bits and higher.  And 7 of the values are odd numbers, 
> which can never happen.
>
> Bill Fairchild
> Franklin, TN
>
>
> ----- Original Message -----
> From: "Mike Schwab" <[email protected]>
> To: [email protected]
> Sent: Tuesday, June 11, 2013 6:04:57 PM
> Subject: Re: Data volumes
>
> On Tue, Jun 11, 2013 at 8:30 AM, Pew, Curtis G
> <[email protected]> wrote:
>> On Jun 11, 2013, at 8:18 AM, Paul Gilmartin <[email protected]>
>>  wrote:
>>
>>> 2**18 + 2**9  + 12.  A peculiar number.  I wonder how they chose
>>> that?
>>
>> For what it's worth, that's 236 * 1113, the latter being the size of a 3390 
>> mod 1. I don't know why they went with 236 (2**2 * 59) though.
>>
>> --
>> Curtis Pew ([email protected])
>
> Highest multiple of 1113 that is under 2 ** 18 (using 18 bits of the
> x'ccccCCChrr' field (is c'CCHHR' for non-EAV volumes.)
> Here is a list of OS/360 to z/OS x.xx volumes by number of bits used
> for number of cylinders.
>
> http://www.hercules-390.eu/hercload.html
> Bits        Cyls                        Model        GB                
> 3390-Model/ Bits used        First used
> 7        128                        0.1150        0.109                M0.11 
> B07
> 8        256                        0.2300        0.218                M0.21 
> B08                        23## (OS/360)
> 9        512                        0.4600        0.435                M0.46 
> B09                        3330-1
> 10        1,024                0.9200        0.870                M0.92 B10   
>                      3330-11
> 11        2,048                1.8401        1.741                M1.84 B11   
>                      3380-2
> 12        4,096                3.6801        3.481                M3.68 B12   
>                      3380-3
> 13        8,192                7.3603        6.963                M7.36 B13
> 14        16,384                14.7206        13.926                M14.7 
> B14                        3390-9 12/1993
> 15        32,760                29.4340        27.845                M29.4 
> B15                 3390-27 OS/390 V2.10
> 16        65,520                58.8679        55.689                M58.8 
> B16                 3390-54 OS/390 V2.10
> 17        130,221                117.0000        110.682                M0117 
> B17 EAV1
> 18        261,555                235.                222.310                
> M0235 B18 EAV2        3390-EAV 2bits z/OS V1.10
> 19        524,223                471.                445.566                
> M0471 B19 EAV3
> 20        1,048,446                942.                891.132                
> M0942 B20 EAV4        3390-EAV 4bits z/OS V1.13
> 21        2,096,892                1,884.        1,782.264                
> M1884 B21 EAV5        (future)
> 22        4,193,784                3,768.        3,564.528                
> M3768 B22 EAV6        3390-EAV 6 bits z/OS V2.0x
> 23        8,387,568                7,536.        7,129.056                
> M7536 B23 EAV7
> 24        16,776,249        15,073.        14,259.058        M15073 B24 EAV8  
>       3390-EAV 8 bits z/OS V2.1x
> 25        33,553,611        30,147.        28,519.062        M28519 B25 EAV9
> 26        67,108,335        60,295.        57,039.070        M60295 B26 EAV10 
>        3390-EAV 10 bits z/OS V3.0x
> 27        134,216,670        120,590.        114,078.140        M120590 B27 
> EAV11
> 28        268,434,453        241,181.        228,157.226        M228158 B28 
> EAV12        3390-EAV 12 bits
> z/OS V3.1x
>

-- 
Mike A Schwab, Springfield IL USA
Where do Forest Rangers go to get away from it all?

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