March 2008

    SSBC Monthly Newsletter

“News About Brews”

 

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Cooking With Beer

Well, it was another great 'cooking with beer' meeting.  What can I say.  Sorry if you missed it.  Thanks to Kevin for his cooking skills, Michael and Kris for their culinary contributions, Frank for hosting and everyone else who helped setup, serve and cleanup.  It was lots of fun and tasty as well.  Check out the Pitcher Gallery (link at left) for some pictures thanks to Paul.

 

With spring coming up we've got club events and other beer events getting closer.  From a pub crawl to the South Shore Brewoff (get your entries in!) to the yearly club group brew, the calendar is already starting to fill up.  Make sure to stay on top of what's happening by using the club calendar and the meeting minutes in each newsletter so you don't miss out!

 

And don't forget the April's club meeting is the club Pilsner competition.  Bring your pilsner!

 

 

                                                                                          Brew On!

                                                                                          Jimmy B

 

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Index

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At a Glance (next meeting, events, quote and trivia)

bullet

Sip by Sip (meeting minutes)

bullet

Recipe of the Month

bullet

It's All in the De-T-Ales (articles, reviews, etc.)
bullet

Porter Presentation

bullet

Pale Ale Presentation

bullet

Brewing Calculations

 

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At A Glance…

Things You May Want To Know, Or Not

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Club Events

Mar 29th – SSBC Newport Beer Event

 

April 8th – April Pilsner meeting at Brian Shurtleff's (directions)

 

April 12th–  South Shore Brewoff at Bob's barn (directions)

Check the club calendar for more details on these and other upcoming events.

 Area Events

April 18-19 - Boston Beer Summit (details)

 

June 20-21 –  Beer Advocate's American Craft Beer Fest

 

 Next Meeting

 Date:          April 8th 

Location:  Brian Shurtleff's

Directions:  click here

 Agenda:   Pilsner Presentation and Club Competition

 Beer Quote and Trivia

“The best beer is where the priests go to drink.”

— ANONYMOUS (16TH-CENTURY)

What state was first to repeal its enforcement of Prohibition, even though it was still the law?

 

Answer at end of newsletter…  

 

 

   

 

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Sip by Sip

Minutes of the Previous Meeting

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Date:  March 18th, 2008

Location:  Frank White's, Middleboro MA

Number of Members Attending:  several

 

Business

 

bulletSign up on-line soon if you want to judge or steward for the South Shore Brewoff.  Jeff has a few people signed up already.
bulletThere was a glitch in the code for the on-line registration of entries, Mark will look at that and try to fix it soon.
bulletThe bottling of the group brew barleywine will be on April 26 at Bill's.  We need to make sure we have priming sugar and yeast, which Bill will take care of.  Bring bottles and bottling buckets (will try to coordinate via e-mail beforehand).  We'll start around 8:30 - 9:00
bulletLast year's group brew brewers owe the treasury $10 for their share - pay Paul soon.  The remaining shares will be sold to other club members.
bulletNewport trip update - 12 or so people going.  Meet at 11:00 at Newport Storm (UPDATE:  Newport Storm tour was cancelled, meet at Coddington's at 12:00 for the first stop).  Schedule will be sent out via e-mail.
bulletIf you want to order bulk malt, talk to Frank White before March 24th.

 

 

Cooking with Beer presented by Kevin Farrell (with help)

 

As the food was being served, Kevin gave details and tips about each course and cooking with beer in general.  Following is the menu we enjoyed during the meeting.  Kevin has promised to supply the recipes, which I will post in a newsletter once they are available.

 

 

Pre-appetizer - Beer Pretzels (water replaced with Oktoberfest beer)

 

Appetizer – Beer cheese fondue (with beer bread and apples).  Each of 5 different fondue pots were used to heat 5 different beers, to which cheese was added and melted.

Soup – Beer, ham, & cheese soup (using Kellerbier)

First course – Assorted sausages (weiss wurst, brat wurst, and knack wurst) simmered in beer with sauerkraut and beer mustard

Second course – Bierbraten (pot roast in rauch beer) with red cabbage and noodles

Dessert – pilsner apple strudel and German chocolate beer cake (thanks to Kris, who couldn't make it to the meeting unfortunately)
 

 

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Recipe of the Month

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Brown Porter

2nd Place winner in Febrewary Porter Club Competition

from:  Frank White



14A-Brown Porter
A ProMash Recipe Report
Recipe Specifics
----------------
Batch Size (Gal):         6.00    Wort Size (Gal):    6.00
Total Grain (Lbs):       12.13
Anticipated OG:          1.052    Plato:             12.85
Anticipated SRM:          24.6
Anticipated IBU:          24.9
Brewhouse Efficiency:       70 %
Wort Boil Time:             60    Minutes

Grain/Extract/Sugar
   %     Amount     Name                          Origin        Potential SRM
-----------------------------------------------------------------------------
 78.4     9.50 lbs. Pale Malt(2-row) Halcyon      Great Britain  1.038      3
  8.2     1.00 lbs. Brown Malt                    Great Britain  1.032     70
  8.2     1.00 lbs. Crystal 40L                   America        1.034     40
  5.2     0.63 lbs. Chocolate Malt                America        1.029    350
Potential represented as SG per pound per gallon.

Hops
   Amount     Name                              Form    Alpha  IBU  Boil Time
-----------------------------------------------------------------------------
  1.25 oz.    Fuggle                            Whole    5.00  23.1  60 min.
  0.50 oz.    Fuggle                            Whole    5.00   1.8  10 min.

Yeast
-----
WYeast 1469 West Yorkshire Ale





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It’s All in the De-t-Ales…

Articles, Reviews and Information

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Contents:

bullet

Porter Presentation

bullet

Pale Ale Presentation

bullet

Brewing Calculations

 

 

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Porter Presentation

by Steve Gravel

 

Porter - History of Beer

 

Porter became the fad of the day in the 1700’s around jolly old England. It initially gained popularity among the transport workers in Central London, those brawny common folks who would endure hard labor with no more than a few pints of porter and a few pounds of bread per day. The endurance of the laboring class did not go without recognition, and before long, porter gained credit as the catalyst for this endurance. As a result, the well-bred and distinguished citizens embraced this beverage as well, igniting an explosion within the brewing industry. Porter became so popular, in fact, that brewers who could adapt to a grand scale were able to make comfortable fortunes producing this one style of beer.

 

In 1802, a writer named John Feltham wrote a version of the history of porter that has been used as the basis for most writings on the topic. Unfortunately, very little of Feltham's story is backed up by contemporary evidence. His account is based upon a letter written by Obadiah Poundage (who had worked for decades in the London brewing trade) in the 1760s. Unfortunately, Feltham badly misinterpreted parts of the text, mainly due to his unfamiliarity with 18th century brewing terminology. Feltham claimed that in 18th century London a popular beverage called "three threads" was made consisting of a third of a pint each of ale, beer and twopenny (the strongest beer, costing tuppence a quart). About 1730, Feltham said, a brewer called Harwood made a single beer called Entire which recreated the flavour of "three threads", and which became known as "porter".

 

Another belief is that Entire was also a name for the combination of the 1st, 2nd and 3rd runnings of a mash.  In 1700 London, the brewers practice was to conduct an initial mash at 150°, drain the wort, mash again at 160°, drain again and mash for the third time at 180°.  Typically the three separate runnings would be sold separately as “Ale”, “Beer” and “Twopenny”.  Entire was thought to be a combination of the three runnings, hence the “Entire” beer.

 

Porter is actually mentioned as early as 1721, but no writer before Feltham says it was made to replicate "three threads". Instead, it seems to be a more-aged development of the brown beers already being made in London. Before 1700, London brewers sent out their beer very young and any aging was either performed by the publican or a dealer. Porter was the first beer to be aged at the brewery and dispatched in a condition fit to be drunk immediately. It was the first beer that could be made on any large scale.

Early London Porters were strong beers by modern standards. Early trials with the hydrometer in the 1770s recorded Porter as having an OG (original gravity) of 1.071° and 6.6% ABV. Increased taxation during the Napoleonic War pushed its gravity down to around 1.055°, where it remained for the rest of the 19th century. The huge popularity of the style prompted brewers to produce Porters in a wide variety of strengths. These started with Single Stout Porter at around 1.066°, Double Stout Porter (such as Guinness) at 1.072°, Triple Stout Porter at 1.078° and Imperial Stout Porter at 1.095° and more. As the 19th century progressed the Porter suffix was gradually dropped. British brewers, however, continued to use Porter as the generic term for both Porters and Stouts.

 

The large London Porter breweries pioneered many technological advances, such as the use of the thermometer (about 1760) and the hydrometer (1770). The use of the latter was to transform the nature of Porter. The first Porters were brewed from 100% Brown Malt. Now brewers were able to accurately measure the yield of the malt they used, it was noticed that Brown Malt, though cheaper than Pale Malt, only produced about two thirds as much fermentable material. When the malt tax was increased to help pay for the Napoleonic War, brewers had an incentive to use less malt. Their solution was to use a proportion of Pale Malt and add coloring to obtain the expected hue. When a law was passed in 1816 allowing only malt and hops to be used in the production of beer (a sort of British Reinheitsgebot) they were left in a quandary. Their problem was solved by Wheeler's invention of the almost black patent malt in 1817. It was now possible to brew Porter from 95% Pale Malt and 5% patent malt, though most London brewers continued to use some Brown Malt for flavor.

 

Until about 1800, all London Porter was matured in large vats (often holding several hundred barrels) for between six and eighteen months before being racked into smaller casks to be delivered to pubs. It was discovered that it was unnecessary to age all Porter. A small quantity of highly aged beer (18 months or more) mixed with fresh or "mild" Porter produced a flavor similar to that of aged beer. It was a cheaper method of producing Porter, as less beer needed to be stored for long periods. The normal blend was around two parts young beer to one part old.

 

October of 1814 went down in history for an event that crushed the dreams of scores of London porter lovers. One of the most grandiose vats (860,000 gallons) at the Meux Brewery gave way, sending a tsunami of porter through the streets. Homes crushed like toothpicks under the force of the brew. A human being didn’t stand a chance! In fact, eight folks lost their lives in the debacle, through drowning, drunken poisoning, or injuries beyond the limitations of the medical community of the time.

 

After 1860, as the popularity of both Porter and the aged taste began to wane, Porter was increasingly sold "mild". In the final decades of the century many breweries discontinued their Porter, though continued to brew one or two stouts. Those which did still persist with Porter brewed it weaker and with fewer hops. Between 1860 and 1914 the gravity dropped from 1.055° to 1.040° and the hopping rate from two pounds to one pound per 36 gallon barrel. It was a mere shadow of the beer which had once been so respected and admired.

 

During the First World War in Britain, shortages of grain led to restrictions on the production of strong beer. Less strict rules were applied in Ireland allowing Irish brewers such as Guinness to take advantage and dominate the bottled Stout market. However, most English breweries continued to brew draught stouts until Second World War and beyond. They were considerably weaker than the pre-war versions (down from 1.055ş-1.060° to 1.040-1.042°) and around the strength that Porter had been in 1914. Porter, with its strength slot now occupied by Single Stout, slowly withered away. The last English Porters were brewed around 1940.

 

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Pale Ale Presentation

by Jason Colby

American Pale Ale – Presentation to the SSBC, 11/13/07 – Jason Colby

Little bit of history
In the beginning, all beer was dark. This was true even in what we think of as the ancestral home of Pale Ale, Great Britain. Beer was dark for technological reasons – maltsters weren't able to control the temperature of their kilns precisely enough to produce truly pale malt – say, single-digit Lovibonds – until the advent of coke as a fuel in the 18th Century. (Eventually even greater control over malting temperatures lead to the production of pilsner malt – but that's beyond the scope of us here today. Maybe we'll hear more about that in April.) Even then it took awhile for brewers to start using this technology to make pale beers. The popular beers of the time were brown, or darker, and brewers probably didn't want to alienate their core customers by brewing anything as "radical" or "extreme" as a pale beer.
Shortly after pale ales began to gain a small foothold, they were largely swept away again by the huge sudden popularity of porter (which, hey, we're going to hear more about in February). It really wasn't until the export trade to India began to be important that Pale Ales, particularly extra-hoppy ones, began to rise in popularity, first abroad and than at home in England. The production of these beers was centered in Burton-on-Trent, whose relatively hard water was ideal for this style of beer.
When the American craft beer movement began, American brewers took the basic outline of British Pale Ales, adapted them to fit domestic ingredients, and the American Pale Ale was born. As for a date, well, Cascade hops weren't released publicly until 1972, and Anchor Liberty Ale was born in 1975, so right around there is probably when you'd date it.


Style Description
APA is designated as BJCP style 10A.

Aroma: Hop aroma moderate to strong, typically but not necessarily a "citrusy" American hop aroma. Malty aroma is there to support the hop aroma. Some specialty malt aroma may be present. Fruity esters moderate to none. So, there's hops, and then there's everything else.
Appearance: Golden to deep amber (SRM 5-14). At the low end you don't want it to look like a pilsner, and at the high end you don't want it to look like an amber or a brown. Should have good head retention. A slight hop haze is okay if dry-hopped, but should otherwise be crystal clear.
Flavor: Hops are prominent, both in bitterness and hop flavor.
"Citrusy" American hops are again most common, but are not required.
Malty flavor is present, but again as a supporting player. Specialty malts may add a hint of flavor but should be restrained. Caramel flavors should be restrained or absent. Fruity esters should be restrained or absent. Moderate to high hop bitterness with medium to dry finish. No diacetyl. So, again, there's hops, and then there's everything else. It's a balanced beer, but it's definitely balanced towards the hops.
Mouthfeel: Medium-light to medium body. Carbonation moderate to high.
Overall impression: Refreshing and hoppy, with sufficient supporting malt.
OG 1.045-1.060, FG 1.010-1.015, 30-45+IBU, SRM 5-14, 4.5-6%ABV.

Recipe Guidelines
Malt: Typically made with American 2-row, although some brewers prefer English pale malts such as Maris Otter which give a slightly darker color and a greater perception of maltiness. A small amount of light to medium crystal malt is usually included, typically <10% of the total grain bill. And that might be it, although small amounts of other "character" malts might be added if a more complex malt background is desired – biscuit malt, munich malt, vienna malt, etc.
Wheat or carapils might be included for body and head retention.
Hops: This is often the area where APA brewers like to be creative, and just about anything might be mixed in depending on the brewer's mood that day. Varieties are typically American "citrusy" types, such as the classic Cascade. Other American hops might be used alone or in combination with each other: things like Chinook, Columbus, Centennial, Amarillo, maybe N Brewer. Recipes will generally include a 60-minute bittering addition as well as one or more sizable hop additions towards the middle and end of the boil, and may be dry-hopped as well.
Yeast: This is pretty simple. The job of the yeast in an APA is to do its job cleanly and stay out of the way. American Ale strains like WLP001, Wyeast 1056, or dry US-05 are easy choices. Some brewers have also been experimenting with the Rogue "Pacman" yeast strain, which can ferment at very cool temperatures.
Other: Some brewers will add salts to their water, such as gypsum, which can affect the perception of hop bitterness.

Similarity to other styles
English Pale Ales – APAs will exhibit American hop character, and much lower yeast-driven flavors such as fruity esters.
American Amber Ales – Ambers will have more crystal malts, including darker crystals, and ambers may also show more roast-malt character.
It used to be that ambers were generally of lower bitterness and hop character than pale ales, but that's less true these days.
American IPAs – As the bitterness and gravity of American IPAs moves upwards, the smaller end of the IPA style can starts to taste like the bigger end of the APA style. There's no really firm distinction between the two. To me, both styles can have high hop flavor, but the first impression of a sip of IPA is a firm bitterness, while the first impression of an APA is more balanced between the bitterness and the other flavors.

Examples (hooray!)
SNPA – The standard APA. This is the best selling craft beer in the US, according to the Brewer's Association.* 5.6% ABV, 37 IBU.
Bittered with magnum and perle, finished with cascades. Malt bill is just pale 2-row and caramel.
* (Followed by 2 Samuel Adams Boston Lager 3 Blue Moon White 4 Samuel Adams Seasonal 5 New Belgium Fat Tire 6 Samuel Adams Light 7 Shiner Bock 8 Widmer Hefeweizen 9 Samuel Adams Brewmasters Collection 10 Redhook ESB 11 Pyramid Hefeweizen 12 Deschutes Mirror Pond Pale 13 Redhook IPA 14 Alaskan Amber 15 Deschutes Black Butte Porter – source:
Stan Hieronomus's blog)

Anchor Liberty – Introduced in 1975 by Fritz Maytag's Anchor Brewery in SF to commemorate the bicentennial of Paul Revere's ride. 6% ABV.
Cascade hops featured, including dry-hopping.

Phin and Matt's Extraordinary Ale – Brewed by Southern Tier Brewing Co. in Western NYS. 5.6% ABV, 37 IBU. Pale and caramel malts, cascade in the kettle, styrian golding in a hopback, and dry hopped with cascade. According to internet chitchat, this beer is brewed with very little "bittering" hops (possibly none), getting most of its IBUs from later kettle additions.

Jackman's Pale Ale – Brewed by Left Hand Brewing Co. 5.2% ABV, 42 IBU. Pale and caramel malts. Cascade and centennial, dry hopped w/ mt. hood. (Was only able to get 3 of these, so the pours may have to be a bit smaller.)


On to the homebrews!

Bill Gasset - Willamette
Brian - Kurowski Magnum
Fred - Cascade (fresh)
Frank White - Perle
Wade Hicks - Simcoe
SteveG - Tettnang
Kevin Farrel - Centennial
Al Filion - Warrior
Jim Blanchette - Amarillo
Jim Bowser - Northdown

 

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Brewing Calculations

by Brian Kurowski

 

Converting Degrees Plato to Specific Gravity

Estimate:            Degrees Plato = (Specific Gravity -1)/4 *1000

Exact:               Degrees Plato =135.997(SG)3 -630.272(SG)2 +1111.14(SG)-616.868

 

Calculating % Alcohol

ABV = (OG - FG) * 0.129

 

Calculating Beer Color

Lovibond is basically the same as SRM

The equation for calculating SRM is: 

  SRM color = 1.4922 * (MCU ** 0.659)

Where 

MCU = (SRM_color * Grain_weight_lbs)/Volume_gallons

Calculating Mash Temperatures

Mash temperatures achieved can be calculated by the First Law of Thermal Dynamics

Q = M * Cp * Delta T

Important Cp’s

Grain = 0.38

Water = 1

 

The (M* CP) term for your mash tun can be calculated with some simple experimentation with Water.

 

Calculating Bittering Units (IBU)

An IBU is defined as 1 mg/l of iso-alp

ha-acid in a solution

Factors affecting hop bitternes

bulletLength of boil – The longer the hops are boiled the higher the percent extraction of Alpha Acids (15-35%)
bulletGravity of wort – The higher the gravity the less soluble the iso alpha acids
bulletAge of Hops – Age decreases bitterness
bulletHop processing – Pellets are 10-15% more efficient than leaf

The calculation of IBU’s in the final beer is not an exact science. The basic equation used is:

 

IBU = (Woz * Utilization % * Percent Alpha Acid * 7,489)/ Vgal

 

 There are three equations for calculating utilization commonly used in homebrew calculations called Rager, Tinseth and Garetz.

bulletRager's method is the oldest, and generally results in the highest utilization numbers. 
bulletGaretz's formula takes into account more factors and results in slightly lower overall utilization, but no utilization for very small boil times.
bulletGlenn Tinseth's method is considered by many to be the most accurate

Rager utilization estimates are believed to be optimistic. Garetz has been accused of extrapolating scant laboratory information, and over generalizing because of it. His numbers have been labelled unrealistic on the pessimistic side. Tinseth has just presented a revised method and set of tables, and though they are thought to be quite accurate, they have not stood the test of time. The calculated numbers tend to fall in between Rager's and Garetz's. Note also that these are all estimates. Actual IBUs can be measured in a laboratory, but the average homebrewer has no access to such equipment.

 

Rager Equation

%UTILIZATION = 18.11 + 13.86 * hyptan[(MINUTES - 31.32) / 18.27]

According to Rager, if the gravity of the boil exceeds 1.050, there is a gravity adjustment (GA) to factor in:

GA = (BOIL_GRAVITY - 1.050)
     ----------------------
             0.2

otherwise,

GA = 0
 
IBU  = (OUNCES OF HOPS) * %UTILIZATION * %ALPHA * 7489
       -------------------------------------------------
                 VOLUME(gallons) * (1 + GA)

Rager's numbers are often used for pellet hops thrown loose in the boil.

 

Garetz Method

The Garetz numbers below represent average yeast flocculation; he also provides tables which represent fast and slow yeast flocculation.

 
Boiling Time (minutes) %Util (Avg Yeast)
----------------------------------------
 0 -  5                    0
 6 - 10                    0
11 - 15                    2
16 - 20                    5
21 - 25                    8
26 - 30                   11
31 - 35                   14
36 - 40                   16
41 - 45                   18
46 - 50                   19
51 - 60                   20
61 - 70                   21
71 - 80                   22
81 - 90                   23

According to Garetz, there are several adjustment factors, that he brings together in the formula with the term "combined adjustments" (CA):

CA = GF * HF * TF

where GF is the Gravity Factor, HF is the Hopping Rate Factor, and TF is the Temperature Factor. To calculate it all, he starts with some he calls CF:

Concentration Factor:  CF = Final Volume / Boil Volume,

to account for concentrated boils of extract brews.

Next, calculate Boil Gravity (BG):

BG = (CF * (Starting Gravity - 1)) + 1

Then calculate GF:

       BG - 1.050
GF  =  ----------  + 1
           .2

HF is calculated as follows:

HF  = ((CF * Desired IBUs)/260) + 1

TF is based on elevation as follows:

TF  = ((Elevation in feet) / 550) * 0.02) + 1

These are all put into the following formula, along with the utilization from the table, and the IBUs are calculated. Note two things: 1) the utilization and alpha acids should be expressed as whole numbers (7% = 7), and 2) this process is iterative, since it contains a term (HF) based on your goal IBUs. You must guess at the final result, do the math, and rerun the process, each time adjusting the value downward. It takes a little practice, but can be done.

Metric Units
IBU = (%Utilization) * (%Alpha) * Hop weight(grams) * 0.1
      ---------------------------------------------------
                       Volume(liters) * CA
Non-Metric Units
IBU = (%Utilization) * (%Alpha) * Hop weight(ounces) * 0.749
      ------------------------------------------------------
                       Volume(Gallons) * CA

Garetz goes to allow for a yeast factor (YF), pellet factor (PF), bag factor (BF), and filter factor (FF), and comes up with:

CA = GF * HF * TF * PF * BF * FF

This allows you to adjust the formula based on your own brewery and practices.

Tinseth Method

Glenn Tinseth's method doesn't involve as many factors, but is still a bit more complex than the original Rager method.Tinseth notes that his table is optimized for fresh whole cones loose in the boil, although easily adjustable for other forms of hops. He builds the gravity adjustment into the utilization tables and offers the following:

Decimal Alpha Acid Utilization vs. Boil Time and Wort Original Gravity
 
Boil                    Original Gravity                                                                                                                                      
Time            1.030                    1.040                    1.050                    1.060                    1.070                    1.080                    1.090                    1.100                    1.110                    1.120                    1.130
(min)
  0                0.000                    0.000                    0.000                    0.000                    0.000                    0.000                    0.000                    0.000                    0.000                    0.000                    0.000
  3                0.034                    0.031                    0.029                    0.026                    0.024                    0.022                    0.020                    0.018                    0.017                    0.015                    0.014
  6                0.065                    0.059                    0.054                    0.049                    0.045                    0.041                    0.038                    0.035                    0.032                    0.029                    0.026
  9                0.092                    0.084                    0.077                    0.070                    0.064                    0.059                    0.054                    0.049                    0.045                    0.041                    0.037
 12               0.116                    0.106                    0.097                    0.088                    0.081                    0.074                    0.068                    0.062                    0.056                    0.052                    0.047
 15               0.137                    0.125                    0.114                    0.105                    0.096                    0.087                    0.080                    0.073                    0.067                    0.061                    0.056
 18               0.156                    0.142                    0.130                    0.119                    0.109                    0.099                    0.091                    0.083                    0.076                    0.069                    0.063
 21               0.173                    0.158                    0.144                    0.132                    0.120                    0.110                    0.101                    0.092                    0.084                    0.077                    0.070
 24               0.187                    0.171                    0.157                    0.143                    0.131                    0.120                    0.109                    0.100                    0.091                    0.083                    0.076
 27               0.201                    0.183                    0.168                    0.153                    0.140                    0.128                    0.117                    0.107                    0.098                    0.089                    0.082
 30               0.212                    0.194                    0.177                    0.162                    0.148                    0.135                    0.124                    0.113                    0.103                    0.094                    0.086
 33               0.223                    0.203                    0.186                    0.170                    0.155                    0.142                    0.130                    0.119                    0.108                    0.099                    0.091
 36               0.232                    0.212                    0.194                    0.177                    0.162                    0.148                    0.135                    0.124                    0.113                    0.103                    0.094
 39               0.240                    0.219                    0.200                    0.183                    0.167                    0.153                    0.140                    0.128                    0.117                    0.107                    0.098
 42               0.247                    0.226                    0.206                    0.189                    0.172                    0.158                    0.144                    0.132                    0.120                    0.110                    0.101
 45               0.253                    0.232                    0.212                    0.194                    0.177                    0.162                    0.148                    0.135                    0.123                    0.113                    0.103
 48               0.259                    0.237                    0.216                    0.198                    0.181                    0.165                    0.151                    0.138                    0.126                    0.115                    0.105
 51               0.264                    0.241                    0.221                    0.202                    0.184                    0.169                    0.154                    0.141                    0.129                    0.118                    0.108
 54               0.269                    0.246                    0.224                    0.205                    0.188                    0.171                    0.157                    0.143                    0.131                    0.120                    0.109
 57               0.273                    0.249                    0.228                    0.208                    0.190                    0.174                    0.159                    0.145                    0.133                    0.121                    0.111
 60               0.276                    0.252                    0.231                    0.211                    0.193                    0.176                    0.161                    0.147                    0.135                    0.123                    0.112
 70               0.285                    0.261                    0.238                    0.218                    0.199                    0.182                    0.166                    0.152                    0.139                    0.127                    0.116
 80               0.291                    0.266                    0.243                    0.222                    0.203                    0.186                    0.170                    0.155                    0.142                    0.130                    0.119
 90               0.295                    0.270                    0.247                    0.226                    0.206                    0.188                    0.172                    0.157                    0.144                    0.132                    0.120
120              0.301                    0.275                    0.252                    0.230                    0.210                    0.192                    0.176                    0.161                    0.147                    0.134                    0.123

To calculate IBUs, the formula is simple: