Cosmic Octaves

1/23/2026

Deviations
All the deviations are well below 1.

Negative Exponents
A negative exponent does not make the result a negative number; it results in a fraction, a small decimal, and the larger the negative exponent, the smaller the fraction.

Fractals
Fractals are complex, repeating geometric patterns that are self-similar across different scales, meaning they look similar no matter how much you zoom in. Created through repeating simple, iterative mathematical processes, they exhibit detailed, nested structures found both in abstract mathematics (for example, the Mandelbrot set) and throughout nature, such as in trees, clouds, rivers, and snowflakes.

Thomas Aquinas
First Principles & Music
Thomas Aquinas wrote extensively on first principles, defining them as indemonstrable, self-evident foundations for all knowledge, science, and morality. Rooted in Aristotelian thought, he argued that these principles are grasped by the intellect upon experiencing reality, with the primary ontological principle being that "being is being".

During his 48 years, he wrote about eight million words and composed five major Eucharistic hymns. Written around 1264 at the request of Pope Urban IV for the Feast of Corpus Christi, these works include Pange Lingua (which contains Tantum Ergo), Lauda Sion, Sacris Solemniis, Verbum Supernum, and the personal prayer Adoro Te Devote.

Karin Öberg ETs
​Malinowski

​Fontgombault, 11th century Benedictine abbey (cloistered, i.e. enclosed) and its village, are on the banks of the river Creuse (hollow, as in a small, narrow valley or basin between mountains or hills, typically featuring a stream or creek), nestled along the wooded banks of this tributary of the river Vienne (Vienna).

1. Size: While some reports indicate around 60 monks, more recent data suggests that nearly 80 monks from 10 different nationalities are in residence.
2. Demographics: The monastic body is known for a relatively young average age of 40, with ages ranging from 20 to 85.
3. Background: The abbey was refounded in 1948 by monks from Solesmes and follows the Traditional Latin Mass (1962 Roman Missal).
4. Foundations: Fontgombault has founded other monasteries, including Randol, Triors, Gaussan, and Clear Creek Abbey, USA.
5. Growth: The foundation grows while others dwindle.
6. Call: ​If God calls, this is the place to be.