Reprints of Published Articles by Barbara Hero
seemed important to share some of my first insights on the Lambdoma by
writing a manuscript relating art and a mathematics of music. This manuscript
was finally published after much editing by the Founder/Editor Frank Malina
of "Leonardo" a journal on art, science and technology. Afterwards I wrote
other manuscripts and sent them to journals which had requested articles.
One of the articles on the planetary grid system developed out of a letter
I received from a planetary grid specialist, Beth Hagens, who asked whether
I had any insights about our grid system? Most of the requests for articles
were published with the exception of one on my Lambdoma weaving which I
was told was "too technical" for the magazine¹s readers.
International Harmony Based Upon a Music
of Planetary Grid Systems
article, is reprinted from a Chapter in the popular book "Anti-Gravity
and the World Grid" edited by David Hatcher Childress, after first being
published in the United States Psychotronics Association 1985 annual Conference
Proceedings. This essay correlates the earth grid systems with specific
musical notes, thus enabling one to find harmonic relationships related
to distances between cities or countries. A chart of miles and corresponding
musical notes is included so that one can determine the musically harmonic
Item A1 (11 Pages) PRICE: US$4
Healing with Sound
is geometry in the humming of the strings. There is music in the spacing
of the spheres". (Pythagoras, 500 BC). This article, published in the spring
of 1994 issue of the British healing magazine "Caduceus", was taken from
the "Healing with Sound" chapter in
Unveiled" (Item B2). Barbara Hero describes how our bodies are manifestations
of harmonic chords. Qualities of intervals in music and whole-number ratios
are described. Musical scales that heal and sounds in the resonant frequency
of bodily organs are mentioned. The correspondence between sound and color
and restructuring with sound are also given.
Item A2 (4 Pages) PRICE: US$4
Paintings Based on Relative Pitch in Music.
article is a reprint of Barbara Hero's article published in "Leonardo"
Vol. 8 pp 13-19, Pergamon Press 1975. By understanding some music theory,
one can translate ratios in the musical Lambdoma diagram into proportions
in a painting, which then reflect harmonics in music. Barbara Hero describes
a correspondence between complementary colors and musical fifths, as well
as other relationships.
Item A3 (8 Pages) PRICE: US$4
Drawings Based on Laser Lissajous Figures
article helps further explain the significance of the Lambdoma diagram
and describes the use of a Laser Scanner system with stereo sound to enable
one to see the actual shapes of the specific harmonic relationships between
specific frequencies and key notes. Reprint of article published in "Leonardo".
Vol 11 pp 301-303 Pergamon Press Ltd.
and the Lambdoma Diagram.
Item A4 (4 Pages) PRICE: US$4
Translating the Angles of the Five Platonic Solids
this Strawberry Hill Farm published essay Barbara Hero shows a method of
translating given angles of the Platonic Solids into musical chords by
using ratios on the Lambdoma matrix. The angles of the rhombic dodecahedron
were included as it is a significant polygonal solid. This is a reprint
of article published in November of 1991. The chords for these solids are
sounded in the audio recording titled
of Our Organs".(Item AT6)
into Musical Notes.
Item A5 (5 Pages) PRICE: US$4
The Mathematical Laws of Sound
article was written to describe some of the laws of sound. It touches upon:
variations in the speed of sound; gravity and sound; qualities and sequences
of numbers; values and sequences of intergers; square root musical equivalencies;
the diagonal of a square being the constant 1:1 ratio; and Lambdoma laws
of inversions. Reprint of article published in "Energy Unlimited" Vol #12
pp 37 - 42.
(Relationship of Sound to Gravity)
Item A6 (6 Pages) PRICE: US$4
by Barbara Hero published in the 20th Annual United States Psychotronics
Association Conference minutes. This paper was given with the first public
demonstration of the Lambdoma Harmonic Keyboard at the conference held
in Milwaukee, Wisconsin July 5-10, 1994. This was the official introduction
of the Lambdoma Keyboard (the first micro-tonal device that follows the
laws of the Lambdoma to produce precise harmonically related tones) developed
by Barbara Hero and engineered by Robert Miller Foulkrod and Richard Lord.
The Keyboard was connected to a laser scanner device to illustrate the
Lissajous figures formed by the harmonic sounds coming from the keyboard.
Barbara used overheads to illustrate visually many concepts related to
the Lambdoma theories. It was at that conference that Barbara was presented
with the "J. A. Gallimore Award for Technical Research and Development
in the Psychotronics Field".
Blood Cells and Nutritive Elements.
Item A7 (33 Pages, 24 illustrations and charts) PRICE: US$8
Demonstrated Applications of the Lambdoma Harmonic Keyboard, United States
Psychotronics Association Conference Proceedings, 1995, pp 1-33
of Article by Barbara Hero published in the 1995 Conference Proceedings
of the United States Psychotronics Association. Barbara delivered this
talk at the conference held in Milwaukee, Wisconsin July. Some of the effects
of the Lambdoma Harmonic Keyboard on different individuals were documented.
Theories about why people react in varied ways to the harmonic intervals
of the Keyboard were shared. Possible future uses of the wisdom encoded
in the Lambdoma matrix and its importance as the basis for a new symbolic
language were suggested.
Item A8 (33 Pages, 25 illustrations and charts) PRICE: US$10
A Brief History of the Lambdoma and the Musical Properties of the Computer
Program for the "Lambdoma Harmonic Keyboard." "XENHARMONIKON 16, an informal
Journal of Experimental Music", Autumn, 1995, pp 104-113.
article touches on some of the history of the Lambdoma from 500 BC to the
present, mentioning Pythagoras, Iamblicus, Albert von Thimus, Kathleen
Schlesinger, Hans Kayser, Rudolf Haase, Ernest McClain, Levaire and Levy.
Barbara points out her applications of the Lambdoma Harmonic Keyboard.
Item A9 (9 Pages, 10 illustrations and charts) PRICE: US$5
Experiencing Harmonics in Art, Music, Mathematics and Architecture, with
the Lambdoma Harmonic Keyboard and the Acoustic Tetra-Harp
This paper was first
published in the1996 Annual Conference Proceedings, United States Psychotronics
Association, pp 81 -103. This paper, which includes twenty one drawings
and charts, discusses mathematical proportions in visual art, music, and
architecture which link these disciplines together with some of the chakra
energy centers of the body.
Item A10 (23 Pages, 21 illustrations and charts) PRICE: US$8
Audio Holography: and its Relation to the Great Pyramid in Egypt
in the 1997 Annual Conference Proceedings, United States Psychotronics
Association, pp 1-13 this paper includes twelve drawings and charts, illustrates
comparisons between principles of light and sound, showing musical frequency
relationships between Egyptian hieroglphs, Lissajous shapes of intervals
of musical sounds, the chakra systems and the planets. (13 pages)
Item A11 (13 Pages) PRICE: US$4
Some Effects of Whole Number Ratio Intervals in Music
This paper was originally
published in the book ³Music in Human Adaptation² edited by Dr.
Daniel J. Schneck and Judith K. Schneck, Virginia Polytechnic Institute
and State University, 1997 pp 107 -132. This paper, which includes ten
drawings and charts, answers some of the ways that the harmonic laws of
the Lambdoma matrix (of whole number ratios) may have proven to have been
of therapeutic value to residents in drug rehabilitation centers and a
prison. It illustrates how the Lambdoma Harmonic Keyboard effects a state
of profound consciousness when individuals choose their own keynote from
the matrix and then play 64 intervals harmonically related to their own
Item A12 (11 Pages) PRICE: US$18
to top of Catalogue
Revised Nov. 29, 2002
Copyright © Barbara Hero 1996-2011
E-Mail Barbara Hero
Web Pages Updated by: Kristi Borst. Ad·Mark·Com