DINARRA (3)

DINARRA (3).
On November 1978 I went to Hawaii for an ASA and ASJ Joint Meeting.
I met Mrs. Carleen Hutchins and her husband.
I carried a Dinarra, and played after my lecture some Spanish song.
Well, time goes, but good remembers stays.

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ABSTRACT from JASA, the Journal of the Acoustical Society of America,
Vol.64, Supplement No.1, Fall 1978 Program of the 96th meeting, p.
S151,CCC8, Dynamic Gamut, by Eduardo Sabat, Simon Bolivar 1260,
Montevideo, Uruguay.

DYNAMIC GAMUT :

We discuss mathematical studies of a novel structure that simultaneously
support the Pythagorean Gamut as well as the Ptolemaic.
The fundamental reason that unites both classical gamuts is that the two
Ptolemaic ratio units "10/9, 5/3, 5/4, 15/8" and "16/15, 8/5, 6/5, 9/5",
have their structural elements separated by a perfect fifth, through
which it can be affirmed that they have a parallel structure to the
Pythagorean.

Dynamic Gamut must be obtained by contracting the Pythagoras Gamut.
One of the best solutions consists of contracting each structural
Pythagorean fifth in *Ninth root of the musical atom*, i.e., 3/2 divided
by 1,0001254. The Dynamic Gamut, so formed, of 53 dynamic comas per
octave posseses 33 tonics for all the Greek modes and their mirrored
equivalents of John Redfield, and for all combined Pythagorean &
Ptolomeic dodecatonics, and therefore it is very modulable. Almost all
the classical important ratios untune in 1,0001254, which is
completetely inaudible, and 16/15, 9/8, 16/9, 15/8, twice 1,0001254

ALL THE BEST
Eduardo
--
Eduardo Sabat-Garibaldi
Simon Bolivar 1260
11300 Montevideo
Uruguay
Phone: (598)(2) 7080952
Webpage (Spanish): http://www.geocities.com/dinarra2000/dinarra.html

(IFIS): www.invention-ifia.ch/ifis/sectiong/g0101/g0101.htm

DINARRA (3).
On November 1978 I went to Hawaii for an ASA and ASJ Joint Meeting,
there I met Mrs. Carleen Hutchins and her husband.
I carried a Dinarra with me, and after my lecture, I played a Spanish
song.
Time indeed passes, but good memories linger on..

----------------------------------------------------------------
ABSTRACT from JASA, the Journal of the Acoustical Society of America,
Vol.64, Supplement
No.1, Fall 1978 Program of the 96th meeting, p. S151,CCC8, Dynamic
Gamut, by Eduardo Sabat,
Simon Bolivar 1260, Montevideo, Uruguay.

DYNAMIC GAMUT :

We discuss mathematical studies of a novel structure that simultaneously
support the Pythagorean
Gamut as well as the Ptolemaic.
The fundamental reason that unites both classical gamuts is that the two
Ptolemaic ratio units
"10/9, 5/3, 5/4, 15/8" and "16/15, 8/5, 6/5, 9/5", have their structural
elements separated by a
perfect fifth, through which it can be affirmed that they have a
parallel structure to the
Pythagorean.

Dynamic Gamut must be obtained by contracting the Pythagoras Gamut.
One of the best solutions consists of contracting each structural
Pythagorean fifth in *Ninth root of the musical atom*, i.e., 3/2 divided
by 1,0001254. The
Dynamic Gamut, so formed, of 53 dynamic comas per octave posseses 33
tonics for all the Greek
modes and their mirrored equivalents of John Redfield, and for all
combined Pythagorean &
Ptolomeic dodecatonics, and therefore it is very modulable. Almost all
the classical important
ratios untune in 1,0001254, which is completetely inaudible, and 16/15,
9/8, 16/9, 15/8, twice
1,0001254

ALL THE BEST
Eduardo

--
Eduardo Sabat-Garibaldi
Simon Bolivar 1260
11300 Montevideo
Uruguay
Phone: (598)(2) 7080952
Webpage (Spanish): http://www.geocities.com/dinarra2000/dinarra.html

(IFIS): www.invention-ifia.ch/ifis/sectiong/g0101/g0101.htm