Interference Patterns:


Image of an Interference pattern

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.
<https://www.google.com/search?q=Interference>


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Notes on the "Frequencies" Page:

Visual link
          to "Frequencies" web 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
Binary Frequency
                                Thumbnail
A Pattern of Increasing Frequencies
 in Base 2 -(Black/White)


Frequency Shift: 1 to 20
Frequency shift
                                  image thumbnail
A Pattern of Increasing Frequencies
 in Base 20


Frequency Shift: 1 to 42 (2 Bits)
Frequency shift
                                  image thumbnail
A Pattern of Increasing Frequencies
 in 2 bit representation -Version 1


Frequency Shift: 1 to 43 (2 Bits)
Frequency
                                    shift image thumbnail
A Pattern of Increasing Frequencies
 in 2 bit representation -Version 2


Binary Shift: Mirrored (4 Bits)
Frequency
                                    shift image thumbnail
A Mirrored Pattern of Increasing Frequencies
 in Base 2 -(Red/Blue)

Frequency Shift: 1 to 43 (4 Bits)
Frequency shift
                                  image thumbnail
A Pattern of Increasing Frequencies
 in 4 bit representation

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Notes on the "Cycles" Page:

Visual link to
          "Cycles" web 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
Thumbnail of Image
                              of cycles 2:n
A Cycle of 2 against increasing cycles (3-12)
 in 2 Bit representation

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

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

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

Composite
Thumbnail of
                              composite Image of cycles
All of the above


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Notes on the "Beats" Page:

Visualo Link ot
          "Beats" web 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
Thumbnail of beat
                              frequency interference patterns image
                              -version 1
Visualization of various frequency sequences
 interacting with each other

Beats -Version 2
Thumbnail of beat
                              frequency interference patterns image
                              -version 2
Visualization of various frequency sequences
 interacting with each other

Beats -Version 3
Thumbnail of beat
                              frequency interference patterns image
                              -version 3
Visualization of various frequency sequences
 interacting with each other



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Notes on the "Factors" Page:

Visual link to
          the "factors" web page

Definition of Factor
<https://www.mathsisfun.com/definitions/factor.html>
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
Thumbnail of
                              visualisation of factors 1 to 10
The Factors found between numbers 1 and 10

11 - 15
Thumbnail of visualisation of
                                  factors 11 to 15
The Factors found between
numbers 11 and 15

16 - 18
Thumbnail of
                          visualisation of factors 16 to 18
The Factors found between numbers 16 and 18

  1 - 18
Thumbnail
                                of visualisation of factors 1 to 18
All of the above


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Moiré pattern

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

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

<https://en.wikipedia.org/wiki/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
 home