Notes onthe "Frequencies" Page:

which emphasizes the contrast to spatial frequency and angular frequency.

of 120 times a minute,

—is half a second (60 seconds divided by 120 beats).

BinaryFrequencies

A Pattern ofIncreasing Frequencies

inBase 2-(Black/White)

Frequency Shift: 1 to 20

A Pattern ofIncreasing Frequencies

inBase 20

Frequency Shift: 1 to 42(2 Bits)

A Pattern ofIncreasing Frequencies

in2 bit representation-Version 1

Frequency Shift: 1 to 43(2 Bits)

A Pattern ofIncreasing Frequencies

in2 bit representation-Version 2

Binary Shift: Mirrored(4 Bits)

A Mirrored Pattern ofIncreasing Frequencies

inBase 2-(Red/Blue)

FrequencyShift: 1 to 43(4 Bits)

A Pattern ofIncreasing Frequencies

in4 bit representation

Notes onthe "Cycles" Page:

<https://www.audioenglish.org/dictionary/cycle.htm>

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

ACycle of 2against increasing cycles (3-12)

in2 Bit representation

3:n

ACycle of 3against increasing cycles (4-13)

in2 Bit representation

4:n

ACycle of 4against increasing cycles (5-14)

in2 Bit representation

5:n

ACycle of 5against increasing cycles (6-15)

in2 Bit representation

Composite

All of the above

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Notes onthe "Beats" Page:

<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.

<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 ofvariousfrequency sequences

interactingwith each other

Beats -Version 2

Visualization ofvariousfrequency sequences

interactingwith each other

Beats -Version 3

Visualization ofvariousfrequency sequences

interactingwith each other

Notes onthe "Factors" Page:

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

• 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

found between numbersFactorsand110

11 - 15

The

found between numbersFactorsand1115

16 - 18

TheFactorsfound between numbers16and18

1 - 18

All of the above

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.

<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**.*

* *

** **

**
--------------------------------------------**

<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.*

**--------------------------------------------**