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Scores
Because there is no universal notation for overtone singing,
many musicians and mentors have received numerous arrangements
of symbols, numbers and odd looking scores, in an attempt to
describe ways of relating to each other in small or large groups,
while singing with overtones. Through this process many useful
terms and symbols have come about that are used in our ensemble
which appear on these scores. With these I hope to offer singers
of all types a beautiful and thought-provoking approach to singing
with overtones, to entice the many choirs and overtone singers in the
global community to perform a piece of music from a score which
focuses on vocal harmonics, to find functional terms, to provide notation of musical
compositions for all levels of ability and, finally, to increase our
capacity in service to the global overtone singing community.
Below are some examples of tonal maps used in the improvisational etude Alignment.
Tonal maps, based on a lattice of Just Intonation, are improvisation boundaries.
A set of instructions is included in the full score. Many of the Symbols are
derived from W.A. Mathieu's book Harmonic Experience published by
Inner Traditions.
Each intersecting point represents a tone. Each connection/line is a harmonic (whole number)
ratio. Each direction represents both a kind and quality of musical proportion. A tonal map
is essentially a visual metaphor depicting an untempered harmony of interconnected harmonics.
Singers use each map as a kind of play-field, and can learn, visually, where the harmonious,
dissonant or ambiguous harmonies are. Its a visual way to gain understanding about how
harmonics relate to harmony or just how harmony works. The advantage of this depiction is
that spacial reasoning is effective i.e. the number of connections or "how far" a tone is
from another, is musically relevant. Tones that are too far from one another on a tonal map
are ambiguous or "difficult to tune". Harmonies that are to far from center start to suggest
a new center. An excursion from center or "home", and a successful return to center
(ultimately without a drone) is the core study in Alignment.
Section I: Over-tonal

Sections II and IV: Central

Section III: Reciprocal (Under-tonal)

Section V: Elemental

Section VI: Septimal

Section VII: Coda

Here is a brief list of color/interval correspondences. Send an email for a nice copy of the complete
score with instructions.
Red: a really sharp minor sixth discovered between the 13th and 8th harmonics.
Yellow: Slightly flat Major third discovered between the 5th and 4th harmonics.
Green: Major Seventh discovered between the 15th and 8th harmonics.
Cyan: Pythagorean perfect fifth discovered between the 3th and 2th harmonics.
Blue: A really flat Minor Seventh discovered between the 7th and 4th harmonics.
Magenta: Minor third discovered between the 6th and 5th harmonics.
Violet: A really flat augmented fourth discovered between the 11th and 8th harmonics.
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