Introduction to my book Harmonic Origins of the World

Over the last seven thousand years, hunter-gathering humans have been transformed into the “modern” norms of citizens (city dwellers) through a series of metamorphoses during which the intellect developed ever-larger descriptions of the world. Past civilizations and even some tribal groups have left wonders in their wake, a result of uncanny skills – mental and physical – which, being hard to repeat today, cannot be considered primitive. Buildings such as Stonehenge and the Great Pyramid of Giza are felt anomalous, because of the mathematics implied by their construction. Our notational mathematics only arose much later and so, a different maths must have preceded ours.

We have also inherited texts from ancient times. Spoken language evolved before there was any writing with which to create texts. Writing developed in three main ways: (1) Pictographic writing evolved into hieroglyphs, like those of Egyptian texts, carved on stone or inked onto papyrus, (2) the Sumerians used cross-hatched lines on clay tablets, to make symbols representing the syllables within speech. Cuneiform allowed the many languages of the ancient Near East to be recorded, since all spoken language is made of syllables, (3) the Phoenicians developed the alphabet, which was perfected in Iron Age Greece through identifying more phonemes, including the vowels. The Greek language enabled individual writers to think new thoughts through writing down their ideas; a new habit that competed with information passed down through the oral tradition. Ironically though, writing down oral stories allowed their survival, as the oral tradition became more-or-less extinct. And surviving oral texts give otherwise missing insights into the intellectual life behind prehistoric monuments.

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pdf: Musicological Narrative Structures in Biblical Genesis

This paper attempts to interpret the first two books of the Bible, according to Ernest McClain’s methods. It is contended that the compositions of ancient texts, as Plato insinuated, were both inspired and used for the science of numerical harmonics.

The invariant properties of harmonic numbers, and their evolution through limiting whole numbers, offer a large variety of distinctive scenarios which can be set into compatible narrative forms such as the Seven Days of Creation, the
Garden of Eden, the Flood, the Patriarchal development of the Twelve Tribes and Moses meeting with YHWH.

Harmonic Genesis of the Sumerians

The emergence of 2, 3, 5 from ONE then combining as ANU and leading to the differentiation of the World along various paths. The creation proceeds through three prime number dimensions, Ea (as in Earth) through 2, Enki through 3 , Enlil through 5. Anu remains the fountainhead associated with all three and with the Zodiac, which emerged in later Babylonian as a seasonally relevant calendar.

Here I start by publishing an important diagram that shows how the earliest known references to musical tuning (early 4th millennium BC) on clay cuneiform tablets, using “regular numbers” whose factors are products of only the numbers 2, 3 and 5, led to the cosmological vision of their gods, the primary god, Anu, being a balanced mix of all three numbers as 60 but also called ONE. This is the source of their Sexagesimal  or base-60, still employed in measuring angles and time called minutes and seconds. All comes from ONE.

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