Erik, I don't know wat table you were glancing at, but here is the table 
from Europes No:1 tool seller, Hoffmann Group 
(http://www.gewinde-norm.de/metrisches-iso-gewinde-din-13.htm), listing 
metric ISO / DIN13 threads:

Thread       Pitch        Core diam. bolt      Core diam. nut       
Drill size mm      Wrench size mm
Gewinde         
Steigung
        
Kerndurchmesser
Bolzen
        
Kerndurchmesser
Mutter
        
Kernlochbohrer
        
Schlüsselweite
(Sechskant)
M1      
0,25
        
0,693
        
0,729
        
0,75
        
-
M1,2    
0,25
        
0,893
        
0,929
        
0,73
        
-
M1,6    
0,35
        
1,171
        
1,221
        
1,30
        

3,2

M2      
0,40
        
1,509
        
1,567
        
1,60
        
4
M2,5    
0,45
        
1,948
        
2,013
        
2,10
        
5
M3      
0,50
        
2,387
        
2,459
        
2,50
        
5,5
M4      
0,70
        
3,141
        
3,242
        
3,30
        
7
M5      
0,80
        
4,019
        
4,134
        
4,20
        
8
M6      
1,00
        
4,773
        
4,917
        
5,00
        
10
M8      
1,25
        
6,466
        
6,647
        
6,80
        
13 / 14
M10     
1,50
        
8,160
        
8,376
        
8,50
        
17 / 16
M12     
1,75
        
9,853
        
10,106
        
10,20
        
19 / 18
M16     
2,00
        
13,546
        
13,835
        
14,00
        
24
M20     
2,50
        
16,933
        
17,294
        
17,50
        
30


Greetings
Peter

Am 24.01.2016 10:18, schrieb Erik Christiansen:
> On 23.01.16 12:27, Gene Heskett wrote:
>> Now we are getting more precise than we can drill with the typical drill
>> bit, which usually drills oversize because the tip flats are
>> un-avoidably off center. Even to a small extent for pricy carbide bits
>> in the smaller sizes.  Yesterdays finished tapping looked great, but I
>> think I could have used the next larger #drill. Yeah, my back of a
>> napkin said a .089 drill, kcalc says 0.0984251968503937008 for a 3mm.5
>> screw.
>>
>> No wonder I felt like I should peck it, the hole WAS too small.
> Ahem, it was WAAAY too small. ;-)
>
> Just a glance at the table upthread shows that 2.6mm (0.102") gives 65%
> engagement, which is as much as I ever want on M3, to avoid busting the
> tap. Even kcalc's 2.5mm (0.098") drill is too small, giving a dangerous
> (to small taps) 82% engagement.
>
> And that .089 (2.26mm) gives an engagement of:
>
> E = (OD - Drill_Size)/2kp
>    = (3 - 2.26)/(2*0.613*.5)
>    = 120%
>
> That has the tap drilling as well as tapping!
> You did superbly to not break the tap, Gene.
>
> I tried a 2.5mm (0.098") drill for M3. Once.
> Although the tap didn't break, I went straight out and bought a couple
> of 2.6mm drills. Now I can tap M3 without my hair standing on end.
>
> Erik
>
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