# Interference Patterns:

in·ter·fer·ence
/ˌin(t)ərˈfirəns/

noun: interference; plural noun: interferences

1.  The action of interfering or the process of being interfered with.
synonyms: intrusion, intervention, intercession, involvement, impinging, encroaching

2. Physics the combination of two or more electromagnetic waveforms
to form a resultant wave in which the displacement is either reinforced or canceled.

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## Notes on the "Frequencies" Page:

Frequency
<https://en.wikipedia.org/wiki/Frequency>

Frequency is the number of occurrences of a repeating event per unit of time.[1]
It is also referred to as temporal frequency,
which emphasizes the contrast to spatial frequency and angular frequency.

The period is the duration of time of one cycle in a repeating event,
so the period is the reciprocal of the frequency.[2]

For example: if a newborn baby's heart beats at a frequency
of 120 times a minute,
its period—the time interval between beats
—is half a second (60 seconds divided by 120 beats).

Frequency is an important parameter used in science and engineering
to specify the rate of oscillatory and vibratory phenomena,
such as mechanical vibrations, audio signals (sound), radio waves, and light.

Binary Frequencies

A Pattern of Increasing Frequencies
in Base 2 -(Black/White)

Frequency Shift: 1 to 20

A Pattern of Increasing Frequencies
in Base 20

Frequency Shift: 1 to 42 (2 Bits)

A Pattern of Increasing Frequencies
in 2 bit representation -Version 1

Frequency Shift: 1 to 43 (2 Bits)

A Pattern of Increasing Frequencies
in 2 bit representation -Version 2

Binary Shift: Mirrored (4 Bits)

A Mirrored Pattern of Increasing Frequencies
in Base 2 -(Red/Blue)

Frequency Shift: 1 to 43 (4 Bits)

A Pattern of Increasing Frequencies
in 4 bit representation

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## Notes on the "Cycles" Page:

CYCLE (noun)
<https://www.audioenglish.org/dictionary/cycle.htm>

The noun CYCLE has 6 senses:
1. an interval during which a recurring sequence of events occurs
2. a series of poems or songs on the same theme
3. a periodically repeated sequence of events
4. the unit of frequency; one hertz has a periodic interval of one second
5. a single complete execution of a periodically repeated phenomenon
6. a wheeled vehicle that has two wheels and is moved by foot pedals

2:n

A Cycle of 2 against increasing cycles (3-12)
in 2 Bit representation

3:n

A Cycle of 3 against increasing cycles (4-13)
in 2 Bit representation

4:n

A Cycle of 4 against increasing cycles (5-14)
in 2 Bit representation

5:n

A Cycle of 5 against increasing cycles (6-15)
in 2 Bit representation

Composite

All of the above

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## Notes on the "Beats" Page:

beat
(bēt)
<https://www.thefreedictionary.com/beat>

1. To strike repeatedly.

Beat (acoustics)
<https://en.wikipedia.org/wiki/Beat_(acoustics)>
In acoustics, a beat is an interference pattern between two sounds of slightly different frequencies, perceived as a periodic variation in volume whose rate is the difference of the two frequencies.

When tuning instruments that can produce sustained tones, beats can be readily recognized. Tuning two tones to a unison will present a peculiar effect: when the two tones are close in pitch but not identical, the difference in frequency generates the beating.

Beats
<http://hyperphysics.phy-astr.gsu.edu/hbase/Sound/beat.html>
When two sound waves of different frequency approach your ear, the alternating constructive and destructive interference causes the sound to be alternatively soft and loud - a phenomenon which is called "beating" or producing beats. The beat frequency is equal to the absolute value of the difference in frequency of the two waves. Arising from simple interference,the applications of beats are extremely far ranging.

Beats -Version 1

Visualization of various frequency sequences
interacting with each other

Beats -Version 2

Visualization of various frequency sequences
interacting with each other

Beats -Version 3

Visualization of various frequency sequences
interacting with each other

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## Notes on the "Factors" Page:

Definition of Factor
Numbers we can multiply together to get another number.

Example: 2 and 3 are factors of 6, because 2 × 3 = 6

A number can have MANY factors!

Example: What are the factors of 12?
• 3 × 4 = 12, so 3 and 4 are factors of 12
• 2 × 6 = 12, so 2 and 6 are also factors of 12
• and 1 × 12 = 12, so 1 and 12 are factors of 12 as well

1 - 10

The Factors found between numbers 1 and 10

11 - 15

The Factors found between
numbers 11 and 15

16 - 18

The Factors found between numbers 16 and 18

1 - 18

All of the above

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### Moiré pattern

In mathematics, physics, and art, a moiré pattern
or moiré fringes are large-scale interference patterns
that can be produced when an opaque ruled pattern with transparent gaps
is overlaid on another similar pattern.

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### Wave interference

In physics, interference is a phenomenon in which two waves superpose
to form a resultant wave of greater, lower, or the same amplitude.
Interference usually refers to the interaction of waves that are correlated or coherent with each other,
either because they come from the same source or because they have the same or nearly the same frequency.
Interference effects can be observed with all types of waves,
for example, light, radio, acoustic, surface water waves or matter waves.

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### Intersymbol interference

In telecommunication, intersymbol interference (ISI) is a form of distortion of a signal
in which one symbol interferes with subsequent symbols.

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Number Spaces

Counting
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Trevor Batten
<trevor at tebatt dot net>
Baclayon 2019
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