Reversing Polarities in Mathematics and Music

Reversing polarities means going to the left or right from "C"

Reversing Polarities in Math and Music. First, let us define polarity:

  1. the relative orientation of poles; the direction of a magnetic or electric field.
    plural noun: polarities
    “the magnetic field peaks in strength immediately after switching polarity”
the state of having two opposite or contradictory tendencies, opinions, or aspects.
“the polarity between male and female”.
Reversing polarities is also found on this number square.
This number square acts as a bar magnet when it is cut in half (see illustration of bar magnet).
It is impossible to make magnetic monopoles from a bar magnet. If a bar magnet is cut in half, it is not the case that one half has the north pole and the other half has the south pole. Instead, each piece has its own north and south poles.


Reversing polarities as the subdominant and dominant are extremes.
The key of “C” is like the center of a bar magnet in this example.

Reversing Polarities in the Number Square

Many blogs on DSOworks are about this basic 3 x 3 number square. They are easy to access. I’ll use the bar figure of the numbers 9-5-1 for purposes of explanation. Taken as a straight read, any three numbers that cross the central 5 in a straight line is its own number backwards. It is just like a bar magnet. The number that always occurs is 1,110. Here, 951 + 159 = 1,110.

Next, let’s cut these numbers down the middle. We now have 95 and 15. This still has its North and South poles. This is like the split bar magnet on the left.  Note: 95 + 15 =110. Reversed- 59 and 51 =110. These numbers are smaller than the initial 159 and 951. However, they still have their poles. A theme on is how this number square sets the cosmos in motion.

Reversing Polarities in Triads or Key Signature Relationships

The subdominant and dominant relationship mark the extremes in the poles of the keys. The tonic draws these two opposite keys together. Here’s how:

  1. The highest note of subdominant “F” chord is “C”. That is also the lowest note of the tonic triad.
  2. The highest note in the tonic triad example here is “G”. That now becomes the lowest note of the dominant “G” triad. This central “C” triad bonds the extremes together.
  3. Finally let’s cut the three letter names so “G” now becomes the central note. “C” is now set to the left. “D” is now to the right. This becomes like cutting the bar pole magnet in two new parts.

Conclusion: Polarity refers back to the 3 x 3 number square.  I would like to conclude a picture of  an emblem of the Lennie Lenape. They have a wonderful motto: “we are all family”. The Lenape (English: /ləˈnɑːpi/ or /ˈlɛnəpi/),[7] also called the Leni Lenape,[8] Lenni Lenape and Delaware people.[9] They are an indigenous people of the Northeastern Woodlands.  They live in Canada and the United States.[4]

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