Author Archives: DrTechDaddy

About DrTechDaddy

Dr Tech Daddy is a retired computer science professor with additional interests in music, robotics, STEM education, model railroading, mathematical physics, congenital heart disease and heart transplant, and Christian theology.

5-Day Math Course

Five-Day 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 shape-note notation for a Jankó keyboard

This is to introduce the ChromaTonnetz-2 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
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Axis49 Modified to Janko Layout

I have converted two c-thru music Axis 49 MIDI keyboards to a Tri-Color 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
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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
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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
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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 higher-order operations such as “tower”–in terms of only the elementary concepts of the Peano Postulates, including … Continue reading
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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
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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
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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
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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
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Welcome to the Trains Blog

  Trains Blog — // UNDER CONSTRUCTION // COME BACK SOON!
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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 Boe-Bot, micorcontrollers: Parallax SX, Parallax Propeller, Arduino
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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
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Comments–Technical vs Generic

Occasionally I receive unspecific favorable comments, such as “good work” or “interesting point” or “keep it up.” While I appreciate favorable attention, I hope to keep this blog focused on technical content, so I have not been posting non-technical comments. … Continue reading
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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.
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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 thirds-based chords) and the notes of the diatonic major and minor scales. This structure is based on … Continue reading
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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 tri-color vibraphone with it’s 6-6 “Janko” keyboard arrangement. http://users.rcn.com/roypertchik/2ndPage/Music/theory1.htm. This suggested to me that the simplest and most economical … Continue reading
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Tonnetz-Based 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 Tonnetz-based 4×3 notation. … Continue reading
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