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Frank Hall
Follow me on Facebook or Twitter. I barely use Google+.
Follow me on Facebook or Twitter. I barely use Google+.

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The geometry of music revealed!  The red lines connect notes that are a major third apart.  The green lines connect notes that are a minor third apart. The blue lines connect notes that are a perfect fifth apart.

Each triangle is a chord with three notes, called a triad.  These are the most basic chords in Western music.   There are two kinds:

A major triad sounds happy.  The major triads are the triangles whose edges go red-green-blue as you go around clockwise.

A minor triad sounds sad.  The minor triads are the triangles whose edges go green-red-blue as you go around clockwise.

This pattern is called a tone net, and this one was created by David W. Bulger.  There's a lot more to say about it, and you can read more in this Wikipedia article:

and this great post by Richard Green:

The symmetry group of this tone net is important in music theory, and if you read these you'll know why!

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In his acceptance speech, Paul Ryan says that Obama killed the debt commission plan. Ryan is blaming Obama for killing a plan that he himself actually killed.
It was, by any reasonable standards, a staggering, staggering lie. Here’s Paul Ryan about Barack Obama:

He created a bipartisan debt commission. They came back with an urgent report.  He thanked them, sent them on their way, and then did exactly nothing.

“They.” “Them.” “Them.” Those words are lies. Because Paul Ryan was on that commission. “Came back with an urgent report.” That is a lie. The commission never made any recommendations for Barack Obama to support or oppose. Why not? Because the commission voted down its own recommendations. Why? Because Paul Ryan, a member of the commission, voted it down and successfully convinced the other House Republicans on the commission to vote it down.

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Google Maps has gone way down hill!!! I am just trying to place two pins on a map and show directions between them for a group I am planning an event with. VERY BASIC.

But in this new Googly-Shmoogly-nirvana, Google Maps menus no longer have an option to drop a pin. I want the names and places of my two pins to be designasted by me, using label wording that makes sense for this specific event and group or people. But Google now intervenes, and won't let me label a location pin with my own words, apparently, and when I do force my own wordings onto the pin, GOOGLE MOVES THE PIN off a some ridiculous places wherever Google decides that label should be located. In my case, I had carefully placed and replaced one pin several times in the exact same place and was now trying to specify a label for it. Given the label, Google shot my pin over into Nebraska, over 1,000 miles from its correct position in western Oregon.

BACK OFF, GOOGLE!!! You DON'T know what words everyone wants to use for their place labels for the maps they want to create and share with the people in their lives. You changes have rendered Google Maps tedious, frustrating, and probably now impossible for me to a common basic task that once was a easy and a joy.

Please, Google, will you wise up?

How I wish Apple would buy Google and clean house! Lord knows they need it.

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#TRAYVONMARTIN WAS NOT THE FIRST, not by a long shot (or noose). This is a hard post for me, but please share it. I offer insight into this old repeating problem and how it can be stopped.

I am white. But I was a child in segregated times in Florida. The recent racist vigilante shooting of the unarmed black teen in Florida echoes so many historical events that I am compelled to share this very disturbing historical account (see PDF at It gives context for those who are alarmed by the recent tragedy and are wondering how to prevent repeats of it.

In 1926, only 86 years ago, my grandfather in LaBelle, Florida, worked to bring to justice a group of his white townspeople whose quick-trigger fearful ignorance led them to attack and kill an innocent young black man with alarming violence. The frantic man called for help but got none. The police dutifully avoided upholding justice. Only widespread outrage could turn things around. Sound familiar?
Please read this article. Though it's a bit academic and wades through similar atrocities before the LaBelle lynching, all of it is illuminating context for this recent tragedy.

I'm proud to be named after my grandfather Frank Watts Hall (F. Watts Hall in the article). He did the right thing, but at tremendous social cost in that frontier town in steamy southwest Florida that he worked so hard to make civil and prosperous. The black workers had been brought in to build the main highway, still in use today, which I've traveled many times. But the workers were given little water under the sweltering sun. So one young black man decided to go to a nearby house to ask for water. The white housewife, fearful on seeing a black man approaching, screamed and ran into the street. What happened next is one of the most horrifically brutal pages of Florida's history.

This all brings back my own memories of growing up in segregated Florida. As a white child I wondered at the gas stations that all had 3 restrooms: Women, Men... and Colored, as if non-whites weren't Women or Men. And one hot day at the kids park I drank from the child-level fountain, and heard a black boy my age asking his parents if he could have a drink, too. They told him no, he couldn't, and took him off to a less-convenient, dingy adult level fountain marked Colored. They had to lift him up so he could drink. That's when I realized that "my" shiny clean fountain, and the similar adult one beside it, were marked Whites. That boy and I, standing in a frozen moment I am sure he remembers long afterwards just as I do, looked at each other in mutual amazement. We were mystified why I could drink at the child's fountain but he could not, and realizing that something deep and ominous had just revealed itself about our society - and our personal futures.

My parents did not speak like racists, and were far more educated and liberal than our neighbors. Yet sadly I also remember learning from them to fear blacks as I grew up, noticing that whenever they drove through the "Colored" part of town, they quickly locked all the car doors. Trivial? Perhaps, but the lesson sank deep -- children are instinctively tuned to learn what frightens their parents. I have since moved away, matured and become what I consider notably non-racist and tolerant of social differences. Yet sometimes I still hear deep down inside me -- muffled by my decades of hard work and soul-searching to overcome it -- the faint sound of car doors locking when I unexpectedly encounter a group of blacks. I'm not proud of that. Nor should anyone be. I'm still working at it. So should we all. We all have it in some form.

So the thought I want to leave you with is this: The things we are taught young by our parents are the hardest things to unlearn. The way we remove fear from our children's future is to show them that we live -- ourselves -- without social walls or fear of social differences.

The more that we express hate or fear, or gate our communities, or shun those we deem unworthy, or hide and separate ourselves from those who are inconveniently different from us, the more fatal ignorance we grow into ourselves and others. And the more that we show our children that we fear those different people, the more we embed that fear so deep into them that a lifetime of self-work and good will may never remove it. And that is what generates, in our society and in our future, repetitions of ominous tragedies such as Trayvan Martin's killing.

My wife's sage grandfather said it best. He came over from Norway, and his meaty fists helped keep the Klu Klux Klan out of his small Iowa farming town in the 1930's. When I met him he was 92, and I told him how happy I was that his Norwegian-descent granddaughter was marrying me, a descendant of people who came over on the Mayflower as well as from the natives who were already here when they arrived. I felt that my new family would live as Citizens of the Planet.

He smiled at me and said simply, "We will all be One some day."

So that is how I feel we should live and teach our children:
We will all be One some day.

One. Indeed, that is the only thing that will save Humanity from its embedded fear and inhumanity.

+Jason Hurtado Daniels I think I'm getting the message+ thingy down... Please let me know if you got this!

-- Frank

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Not exactly puffery...
Air Pollution in Cigarettes per year and increased health risks
Myhealthbeijing has reported that the first official particulate matter 2.5 micron readings from Beijing have been 72 to 93 micrograms per cubic meter.

Converting micrograms per cubic meter of particulars in air into weight of particulates through lungs each year

Do not let the air pollution units confuse you. I will convert the micrograms per cubic meter in the air into pounds through your lungs each year.

In major cities there is between 20-370 micrograms of particulates (PM10 10 micron) per cubic meter of air.

Each day you take over 20,000 breaths and breathe about 35 pounds (15.9 kg) of air. At sea level and at 20 °C, dry air has a density of approximately 1.2 kg per m³ (cubic meter). So every day you are breathing 13.2 m³ of air. (Note - some use 18 cubic meters of air per day. the amount of air breathed depends upon elevation and other individual factors.) Therefore,

13.2 m³ • 20 micrograms = 265 μG (micrograms) = 0.265 mg (milligrams)
13.2 m³ • 370 micrograms = 4910 μG (micrograms) = 4.91 mg (milligrams)

So 0.2-4.9 mg of particulates enter into your lungs every day unless you live some of the particularly clean air areas.

In one year per the above statistics, 97-1800 mg (0.097 to 1.8 grams) of particulates enter your lungs. So in Beijing (with a very high average particulate load) over 1/8 ounce of particulates gets into each person's lungs each year. This may not sound like a lot, but the lungs don't have very effective mechanisms for expelling particulates that collect, so the effect is mostly accumulative.

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Did I already share this? This is so funny -- I smile every time I look at the screenshot. :D
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