Table of Contents

Introduction
A Harmony That Structures the Universe

1 The Field of Harmony
The Ring Form • The Vesica-Tone Construction • Tone

2 The Geometry of Time
The Center of Time • The Tritone • Harmonious Rectangles

3 Moon and Earth
Measures of Time and Space • The Three Masters (Part 1) • Constructing a Seven-Tone Scale • The Three Masters (Part 2) • Earth and Moon • The Inner Earth

4 The Temple of Water
Land and Water • The Shape of Raindrops • The Temple Garden • A Temple of Water

5 Musical Vessels
Planetary Pottery • The World in a Grain of Sand

6 The Spiraling Octave
The Sky Speaks • Octave Spirals • Musical Spaces

7 Harmonic Structures
The Harmonic Series • The Mean • The Reciprocal • Musical Rectangles • The Vesica-Harmonic Construction • The Minor Third

8 The Circle of Resonance
Resonance • Two from One • One from Two • The Birth of the Moon • Crossings • Harmonic Science

9 The Musical Universe
As Above, So Below • The Water of Life • The Great Central Sun • The Galactic Core

10 The Tree of Time
A Spiral of Time • The Vesica of Time • The Era Before Time • The Tree of Time • Within the Root of Time

11 The Cosmic Flower
The Symbol in the Sky • Sacred Cosmology • The Symbol Speaks • Ceremony

Appendix 1
The Vessel of Ceremony
Ceremony within Geometric Space • Classical Geometry • Creating Sacred Space • An Earth-Honoring Ceremony • A Birth of the Moon Ceremony • A Water-Honoring Ceremony • A Birth of the Cosmos Ceremony • A Sun-Honoring Ceremony

Appendix 2
A Miscellany of Numbers and Forms

Notes

Bibliography

Illustration

Credits

Index

About the Author

John Oscar Lieben is a geometer who has researched sacred geometry and harmonics for over 25 years. A graduate of New York University, he also studied at Oregon School of Arts and Crafts and Roehampton College in London. A designer and builder of gardens and ceremonial spaces proportioned by sacred geometry, he lives in Bellingham, Washington.

Reviews

“From a drop of water to the expanse of the solar system and beyond, this book reveals an unseen harmony pervading the natural world.”
*Mark Vidler and Catherine Young, authors of Sacred Geometry of the Earth*

“John Oscar Lieben has developed a simple framework with which to view the whole world of geometric formation and proportion. His visual language maintains wholeness while giving detailed examples in architecture, musical proportion, the human form, cosmic time, and the elements. This art and craft can form sacred images which, like traditional mandalas and yantras, find a balanced order in the world.”
*Richard Heath, author of The Harmonic Origins of the World*