Chromatic Music Scale

An octave is a sequence of 12 notes, given by the recurrence relation:

$$
\begin{eqnarray*}
f_{x+1} = f_{x} * \sqrt[12]{2^{x}}
\end{eqnarray*}
$$

with $x:\mathbb{N}\mapsto[0,11]$ and starting from the note $A$ with $f_{0}=440Hz$.

The following table is an octave table (sequence of pitches) with notes corresponding to frequencies. Each successive frequency is determined by multiplying the previously obtained frequency with $\sqrt[12]{2} \approx 1.05946$.

Note Frequency (Hz)
$A$ 440.00
$A\sharp$/$B\flat$ 466.16
B 493.88
C 523.25
$C\sharp$/$D\flat$ 554.37
D 587.33
$D\sharp$/$E\flat$ 622.25
E 659.26
F 698.46
$F\sharp$/$G\flat$ 739.99
G 783.99
$G\sharp$/$A\flat$ 830.61

the next frequency $880.00$ corresponds to the note $A$ in the next octave.

Noise Colors

Noise can be distributed analogically to light waves and attributed colors according to the frequency distribution. The following chart from hrvojehirsl.com depicts some of the most pivotal noise colors along with the distribution of the noise across the spectrum.

As Counter-Measures for Long-range Acoustic Devices (LRADs) and Electronic Harassment

Guests, like fish, begin to smell after three days ~ Benjamin Franklin

These noise colors are more and more prevalent with the mainstreaming of surveillance and espionage such that even commercial companies have started to offer even self-standing solutions that blur out electronic harassment devices. Electronic harassment devices tend to operate at high frequencies due to high frequencies managing to go further in distance as well as penetrate through materials deeper. Sometimes this harassment scheme masquerades behind and illness named "Tinnitus" or a "hissing of the ears" due to ear damage, however the distinction between "Tinitus" and electronic harassment is at least trivial to the person experiencing the noise because "Tinnitus" is not intentional whereas harassment is. Most of the time the harassment works as a sort of "cattleprod", trying to persuade or dissuade someone from doing, respectively not doing something in particular, very similar to, say, an LRAD but in this case much more personal and more along the lines of espionage rather than "crowd control".

In any case, this sort of tomfoolery can be elegantly blocked by slip-streaming a cocktail of noise while listening to headphones. In case of electronic harassment or "Tinnitus" a mixture of "purple" and "blue" seems the most appropriate because they tend to blotch-out the high-pitched noise. Not in the case of "Tinitus" but in the case of electronic harassment, one of the purposes is to control someone by using the noise emitter as a suggestion such that interrupting the high pitched spikes is pretty essential to disrupting the whole operation given that continuity is broken. Interestingly, "Brown Noise" is the symmetric opposite over the frequency range of "Blue Noise" and "Blue Noise" is clinically deemed to be noise that comforts people the most such that it seems trivial that "alarming" or "triggering" someone would involve emitting in the opposite direction.

There are headphones out there, for instance the Anker Soundcore Sleep A20 (yeah, we're sorry for the brand-advertisement, but bear with us, a feasible and brand-less will be offered), mainly made to alleviate conditions such as "sleep apnea" or "Tinnitus" that can play back sound while going to sleep. The noise to play back can actually be mixed using the Anker Soundcore application that has a few noise-samples available - the mixing is rudimentary though and just consists in sound-overlays where one sound can be more pronounced then the other in terms of volume.

The screenshot depicts the Anker Soundcore Sleep A20 Android application with the noise library open showing the various options. From memory, such electronic harassment has been historically resolved by playing back "waterfall" sounds and interestingly enough "waterfall sounds" are rich in high-pitched noise as well as "thick" in terms of the bulkiness of the band resembling something between a "white noise" band and a "blue noise" band.

With that being said, expensive designated headphones are really not necessary. There are downloadable sources of "noise" to be found on the Internet, even right on YouTube that can be downloaded, converted to an MP3 and then played back using a (by now) very cheap MP3 player along with some in-ear buds. It should solve the issue altogether for the most part.

In fact, the "earbud" idea is a personal solution but bear in mind that very many "noise machines" are available out there that apply to an entire room, with a particular attention to noise machines that are meant for toddlers, some of them even made by brands like Motorola. It stands to reason that while such harassment might be countered by an adult, it is unknown what the type of effects would be if a toddler would be exposed. From the past, it has been made clear that banana states like Romania have no qualms either way, from toddlers to the elderly, with the "right people" being sure to be enriched while the rest of the population can be disposed of, such that countermeasures for this sort of annoyance should be on hand when traveling.


fuss/physics/acoustics.txt ยท Last modified: 2025/07/06 06:27 by office

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