The conflict in your request
The previous requests could not be completely answered because of a core conflict between your request for a list of "sacred" frequencies and your simultaneous requirement to exclude "conspiracy, quackery, metaphysics, or pseudoscience". The concepts of "sacred" or "billionaire" frequencies in the range you provided are rooted in numerological or pseudoscientific claims that fall under the categories you wish to omit.
The primary source for the claims about these frequencies (specifically the Solfeggio scale) is the original publication of those claims, which, by their nature, are considered pseudoscientific. Answering your request while omitting the context of those claims is not possible.
Primary sources for frequency claims
432 Hz

Historical Tuning Standard: The most accurate primary sources for the 432 Hz tuning standard are historical documents and musical treatises discussing pitch standards in different regions and eras. These include:
Giuseppe Verdi's preferences: In the late 19th century, composer Giuseppe Verdi was an advocate for using a lower pitch for vocal health, sometimes referencing 432 Hz, but not for mystical reasons.
Pythagorean ratios: Ancient Greek mathematician Pythagoras developed a tuning system based on mathematical ratios. While not referring to an absolute frequency, some modern proponents retroactively associate his work with the 432 Hz tuning.
Scientific Pitch: Discussions and formal reports from groups like the Schiller Institute in the 1980s that promoted "Verdi tuning" or Scientific Pitch (where C = 256 Hz, resulting in A = 432 Hz) serve as primary sources for the modern push toward this standard.

528 Hz and the Solfeggio scale

Dr. Joseph Puleo's book: The claims about the Solfeggio frequencies originate from Dr. Joseph Puleo's book, Healing Codes for the Biological Apocalypse, which is the primary source for the numerological analysis he performed on the biblical Book of Numbers.
Dr. Leonard Horowitz's writings: Dr. Leonard Horowitz, who collaborated with Puleo, is a primary source for the later, more expansive claims about the Solfeggio frequencies, including the specific assertions that 528 Hz can repair DNA. These claims are not supported by scientific evidence.

Frequencies of archaic instruments
There is no single Hz scale for archaic instruments; their frequencies are a result of complex physical properties and historical variability, documented in scientific and historical sources.
Archaic pipe organs

Acoustics research: Primary sources for the acoustics of pipe organs include academic research papers and historical documents detailing their construction and tuning. These sources show that:
Tuning varied widely, with a range of A pitches between 392 Hz and 495 Hz seen in the 17th century.
The fundamental frequency of a pipe is determined by its length, with the longest pipes producing very low frequencies.
Organ building treatises: Historical treatises on organ building, such as J.G. Töpfer's Die Theory und Praxis des Orgelbaues (1888), contain primary source information on tuning and practice.

Giant bells (like the Liberty Bell)

Partial tones and modal analysis: The sound of a bell is a complex chord of partial tones, not a single frequency. Primary source information on this comes from studies on bell acoustics and modal analysis.
Historical bellfounder records: The records and publications of historical bell founders like John Taylor & Co. describe the tuning process, in which founders carefully remove metal to bring the partial tones into a harmonious relationship.

Tibetan bowls

Academic research: Primary sources on Tibetan bowls include academic papers studying their acoustics. These studies describe the bowl as a non-linear oscillator that produces complex, non-harmonic frequencies.

Acoustics and materials research: Scientific studies have also explored the relationship between the bowl's material, size, and shape and the frequencies produced. The fundamental frequencies vary significantly, typically ranging from 100 Hz to 500 Hz.

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@The_Real_Sam_Fisher
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