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Mapping the Seven Twisted Trefoil Band

The Seven Twisted Trefoil Band is more than an emblem, this arrangement forms a harmonic and cyclical map: it’s a living map of transformation. Each twisted trefoil points to a position on the analog clock: 6, 8, 10, 12, 2, 4, and back to 6 – creating a full cycle of motion and return. These positions correspond not only to times of day, but to musical tones on the Circle of Fifths and angular points on the unit circle. Together, they form a multidimensional language of resonance, rotation, and rhythm. From F♯ at 6 o’clock (270°) – the tone of grief-turned-grounding – to A at 12 o’clock (0°) – the tone of divine alignment.

Each position on the band charts a harmonic intersection of music, math, and meaning. Mapping this band is a way of witnessing spiritual evolution through the precise language of geometry and sound. This is where sacred pattern becomes compass and where each trefoil turn reflects a truth about the human condition.

Clock Positions → Circle of Fifths & Unit Circle Mapping

Clock position in hours is converted to a 12-tone scale for music.

  • The Circle of Fifths moves clockwise by perfect fifths.
  • The unit circle starts at 3 o’clock = 0°, moving counterclockwise.

Let’s map each point:

Note: there’s a tiny sliver of difference called the Pythagorean comma, a reminder that pure mathematical ratios and our tuning systems don’t always align perfectly.

ClockCircle of Fifths NoteUnit Circle Degree
6F♯ / G♭270°
8BNMOS
10ENMOS
12A
2DNMOS
4GNMOS
6F♯ / G♭270° (repeat/start)

This information comes into play when we deep dive into The Neurospiritual Map of Sound.


S. Leigh Peter is a mathematician, writer, and Narrative Architect, a Visionary Archetype who bridges logic and spirit, showing how patterns of order in math, psychology, and story illuminate the human experience. As the founder and manager of an education and mathematical modeling firm, she applies her expertise to solving complex problems while developing innovative learning experiences.

As an administrator and content creator, S. Leigh Peter curates thought-provoking material that fosters deep inquiry and discussion. Her approach ensures that members engage with content that is both intellectually rigorous and transformative.

With a commitment to lifelong learning and personal evolution, she creates an environment where knowledge serves as a gateway to greater understanding - not just of the external world, but of the self.