Myth of Invariance: The Origins of the Gods, Mathematics and Music from the Rg Veda to Plato

by McClain, Ernest G.

• ISBN13: 9780892540129
• ISBN10: 0892540125
• Format: Paperback
• Copyright: 1985-06-01
• Publisher: Red Wheel Weiser

Summary

MYTH OF INVARIANCE explores the unifying symbolism of music and number so the reader can understand the secrets from Babylon, Egypt, Greece and the Bible - secrets hidden for centuries.

Table of Contents

Charts and Tables	ix
Introduction	xi
Siegmund Levarie
Acknowledgments	xv
Glossary of Terms	xix
Introduction: the problem; de Nicolas' challenge; a musical hypothesis; procedure	1	(8)
Tone Mandala and Sun's Chariot: the Hindu-Greek diatonic scale	9	(10)
Musical Generation: God and Mother; Fathers and Sons; Indra and the Asvin Pair; Indra as Dancer and Lord of the Five Tribes	19	(14)
The Tonal Calendar: 360 ``like pegs''; Vision in Long Darkness	33	(10)
Algebraic Yantras: star hexagon and drum of Siva; the holy mountain; origins of geometry	43	(18)
Expansion of the Tone-Number Field: the Brhaspati and Prajapati cycles of 3,600 and 216,000 years	61	(12)
Cosmic Cycles: the four Yugas; Kalpa and Brahma cycles; the birth of Agni, inearnate savior; the chariot of the gods; the duration of the universe	73	(22)
Music and the Calendar: arithmetic and geometric coincidences; Ptolemy's tonal zodiac	95	(12)
The Book of Revelation: the meeting of East and West; New Jerusalem; the Choir of 144,000; the Holy City as 12,0003; the Divine Mother; conclusions; postscript on Genesis	107	(22)
Babylon and Sumer: the Pythagorean achievement of ancient Semitic cultures; sexagesimal arithmetic; God on the Mountain; Babylonian and Hebrew floods; Old Testament arithmology; Mayan cosmology; Mt. Meru	129	(32)
Lost Atlantis: Plato's musical cities; Gilbert Ryle's hypothesis; the Muses' Jest; the Plain of Atlantis; the Islands of Atlantis; Callipolis and Ancient Athens; Egyptian derivation; Egyptian music, Egyptian mathematics; The Book of the Dead; the Underworld; Khepura	161	(34)
Conclusions: the myth of invariance; a mathematical perspective; codetta	195
Appendices
I Conversion Tables	203	(2)
II Multiplication Tables for Numbers 3p5q	205	(4)
III Simplified Acoustical Theory for Fretted Instruments	209