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Author Archives: DrTechDaddy
5Day Math Course
FiveDay Math Class This post is preliminary thoughts in response to a Google Thread [Math Future]. Audience: “An adult switching to a new career and drawing on math remembered from high school to get up to speed. If they don’t … Continue reading
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A shapenote notation for a Jankó keyboard
This is to introduce the ChromaTonnetz2 notation for a Jankó Keyboard. I’m attaching a couple examples. One is an old hymn and the chromatic scale. The other is a representation of jazz chords. Note that I changed color schemes and … Continue reading
Posted in Music, NonTraditional Notation Editor
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Axis49 Modified to Janko Layout
I have converted two cthru music Axis 49 MIDI keyboards to a TriColor Janko key arrangement. As you can see from the figure, the Axis is a 7 x 14 hexagonal grid of buttons. (The original Axis layout is the … Continue reading
Posted in Music
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RepliCount Programmed in Scheme
This post describes the implementation of the HyperOpreation Function, aka Ackermann’s Function, which I call RepliCount, in the Scheme Programming Language. RepliCount is a recursive function that performs arithmetic operations on natural numbers by reducing the operation by stages to … Continue reading
Posted in STEM
Tagged Ackermann's Function, addition, exponentiation, hyperoperation, math, multiplication, Peano, recursion, successor function, tetration
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RepliCount Function Example: 2^3
In a previous post I discussed the HyperOperation function H(m,n,k) which is a Recursive Functions reducing arithmetic operations on natural numbers to Peano Successor. Here I give an example of a complete computation, evaluating 2^3. Operator Notation: ^ k=3 Exponentiation … Continue reading
Posted in STEM
Tagged Ackermann's Function, addition, exponentiation, multiplication, Peano Arithmetic, recursion
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RepliCount: A Recursive Function for Natural Number Arithmetic
ABSTRACT: We demonstrate a single recursive function, a variation of Ackermann’s Function, that represents the operations of natural number arithmetic–addition, multiplication, power, and even higherorder operations such as “tower”–in terms of only the elementary concepts of the Peano Postulates, including … Continue reading
Posted in STEM
Tagged Ackermann's Function, addition, exponentiation, hyperoperation, hyperoperations, math, multiplication, Peano, power, recursion, successor function, tetration
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What is Multiplication?
Is multiplication a “closed” mathematical operation? If not, what is it? QUIZ: Question 1. What is 3 apples plus 2 apples? Answer 1: 5 apples? Question 2: What is 3 apples plus 2 oranges? Answer 2: You can’t add apples … Continue reading
Music Notation as Text on a Webpage
A Printable Text Notation As discussed previously in this blog, I have been experimenting with modifications of traditional music notation to allow a playable score to be created with a standard text editor, and displayed on and printed from a … Continue reading
Posted in Music
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The Minister and the Doctor
Watch my beautiful story. I believe it was a message from a loving Father God. What do you think? If you are viewing the archive list, click the post heading to see the slide show. Click a slide … Continue reading
Posted in Heart
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A Change of Heart
I’m a survivor. A survivor of Congenital Heart Disease and a Heart Transplant. And I do believe, a miracle–many miracles, in fact. I’ll be sharing some of those stories from time to time. If you are interested in other stories … Continue reading
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Absolute Timing Notation — Note On Only
Another attempt to improve music timing notation– To make the actual beginning of each note stand out, I tried putting a note of minimal duration only at the starting time, and replacing the remainder of the duration with rests in … Continue reading
Posted in Music, NonTraditional Notation Editor
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Welcome to the Trains Blog
Trains Blog — // UNDER CONSTRUCTION // COME BACK SOON!
Posted in Trains
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Welcome to Robotics
Welcome to my Robotics blog. A new blog is currently under construction, but will detail my work with Lego Robotics and Microcontrollers: other robotics projects: Parallax BoeBot, micorcontrollers: Parallax SX, Parallax Propeller, Arduino
Posted in Robotics
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Absolute Timing Notation — Tie for Duration
Herewith are my latest efforts on rhythm notation reform. Earlier I had suggested that TN timing/rhythm notation is in as much need of reform as the pitch notation,although the time dimension has received relatively little attention. I had suggested that … Continue reading
Posted in Music
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Tonnetz Torus Picture
This is a sketch of the Tonnetz Torus drawn with straight lines (triangles and squares). I’ve also added arrows to indicate the direction around the cycles. See my previous post for additional details.
Posted in Music, NonTraditional Notation Editor
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Tonnetz Torus — Circles of Thirds
ABSTRACT: This post describes a diagram or structure that can be used to identify the notes of major and minor triads (and other thirdsbased chords) and the notes of the diatonic major and minor scales. This structure is based on … Continue reading
Posted in Music
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My Janko Glockenspiel
My Janko Glockenspiel The development of the 4×3 Tonnetz notation discussed in my earlier post is motivated in part by Roy Pertchik’s tricolor vibraphone with it’s 66 “Janko” keyboard arrangement. http://users.rcn.com/roypertchik/2ndPage/Music/theory1.htm. This suggested to me that the simplest and most economical … Continue reading
Posted in Music, NonTraditional Notation Editor
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TonnetzBased 4×3 Notation
(Revised 2/25/2011 to correct errors in the Bach example.) (Revised 12/13/2010 to add Chromatic Scale example and correct an error in the Bach example, and other editorial revisions.) I’ve created a font to print music in a Tonnetzbased 4×3 notation. … Continue reading
Posted in Music, NonTraditional Notation Editor
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Comments–Technical vs Generic