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Mathematics, Music

Guitar Chord Sequences Ordered by Pitch

Guitar Chord Sequences Ordered by Pitch

If one diatonic open/closed chord is known, anywhere on say, a guitar fretboard, then totally ordered sequences of ascending and descending voicings of the same parity can be calculated, iteratively, without reference to dictionaries of chord fingerings. As an application, tables of open and closed chords for various major scales over different regions of the guitar fret board are generated. The mathematics is contained in the paper below. Musicians can jump straight to the tables below. More tables are under construction.

Download paper.

Download PDF

Examples

  1. A Major Open Triads — Bass Note on String $6$ in Ascending Pitch Order
  2. C Major Open Triads on Frets 0 to 4 Ordered by Increasing Pitch
  3. C Major Open Triads on Frets 5 to 9 Ordered by Increasing Pitch
  4. C Major Open Triads on Frets 9 to 12 Ordered by Increasing Pitch
  5. C Major Closed Triads on Frets 0 to 5 Ordered by Increasing Pitch
  6. C-Major Harmonizations by Closed Triads

Se also Pitch Equivalent Fingerings of Specific Guitar Chords

Blog

Open Letter to America

by Dr. Steven Hatfill

Dear America,

This is the story of possibly the greatest corruption scandal in our country’s history.

This is the story of how petty bureaucrats and drug companies unjustly discredited an inexpensive FDA-approved drug that would have prevented COVID-19 hospitalizations and deaths for political spite and financial gain. These perpetrators, who now hold more significant positions in government, need to be held accountable for over 500,000 American deaths and the disruption of our economy.

Read complete letter here

Dr. Steven Hatfill is a specialist physician, recognized Virologist and Bioweapons expert and who worked as an outside advisor to the Executive Office of the President of the United States from February 2020 through the inaugural transition period of 2021.

Blog

Covid Vaccines cause Abortion

Vaccine Impact on US Military Personal:

Read Senator Johnson’s Letter to Defense Secretary Austin on Dramatic Increases in Medical Diagnoses Among Military Personnel

See letter

The data shows significant post vaccination increases in the following conditions!

Hypertension 2181% ↑
Migraines 452% ↑
Nervous System 1084% ↑
Tachycardia 302% ↑
Guillain-Barre Syndrome 551% ↑
Multiple Sclerosis 680% ↑
Esophagus Malignant Neoplasms 624% ↑

Female Infertility 472% ↑
Ovarian Dysfunction 437% ↑
Testicular Cancer 369% ↑
Breast Cancer 487% ↑

Update: May 22, 2025.

Video

Spem In Alium

I have never put my hope in any other / but in You, O God of Israel / who can show both anger and graciousness, / and who absolves all the sins / of suffering man / Lord God, / Creator of Heaven and Earth / be mindful of our lowliness

Mathematics

Mathematical Physics

Physics Notes

  1. Concerning the Measurabilityof a Global Mean Surface Temperature
  2. Physical Applications of the Stevens’ Classification of Random Variables
  3. A Proof of the Quantum Mechanical Charge Density Formul
  4. Quantum Statistics – Algebraic and Combinatorial Aspects
  5. Isomers
  6. Special Relativity
  7. Hamilton’s Equations
  8. Physical Applications of Stokes’ Theorem
  9. Commutative Diagrams and the Construction of Musical Scales
  10. Scientific Units
  11. Waves – Terminology
  12. Table of Ph Values

Third Year Exams for the B.Sc in Physics – University of Hull, 1971

  1. Paper I
  2. Paper II
  3. Paper III
  4. Paper IV
  5. Paper V.
Pro-Life

The Science of Fetal Pain

The old, uninformed notions that unborn and newborn babies could not feel pain are refuted by a growing body of scientific evidence. The published scientific literature shows that unborn babies can experience pain at 20 weeks gestational age (20 weeks LMP, since Last Menstrual Period, the fetal age estimate used by most obstetricians) or earlier. There are two common methods used to measure the age of an unborn baby: Probable post-fertilization age (PPF, used by embryologists) measures the age of the unborn baby from the actual date of conception, while gestational age measures from the first day of the mother’s last menstrual period (LMP, approx. two weeks before conception). Medical practitioners have been using the latter method as standard medical practice for decades, and for the purpose of this paper ages refer to gestational age unless otherwise indicated.

Download pdf

Pro-Life

ACCIÓN PROVIDA URGENTE PR

En Puerto Rico, ya no es legal matar a un bebé como éste dentro del vientre materno.

🚨Llama al Senado, 787-724-2030, y solicita que registren la siguiente petición:
➖Senador Thomas Rivera Schatz: proteja a los bebés no nacidos. #SientenDolor