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Re: Melodic consonance

Dear Alexandra Hettergott,

I particularly appreciate the references you gave with your comment because
they confirm my suspicion that you and presumably the majority of experts
in music rely on authorities like Parncutt and Terhard who were possibly
slightly wrong in basic positions. You would like to refer to something
like spectral acoustic energy over time. Seebeck was perhaps the first one
who tried to object even if he had no explanation why a heard fundamental
was missing in the spectrum. He replied to Ohm that only the ear could
decide how tones should be heard. In my opinion, there is mounting evidence
that the neural aspects of hearing were underestimated. Vercoe may be one
of the most prominent ones who, for instance, clearly explained: "If we are
listening to an instrument with almost no energy at the fundamental (such
as the bassoon), that will be just fine since, even though the low CF
fibres will have nothing to report, the high CF fibres will send a loud and
clear pitch message anyway." See also subharmonics by Kimura, JNMR 28, 2

Admittedly, I was so bold as to cast some related and interrelated views of
mine into 106 theses (in German), one line each on just one sheet of paper.
Since they were put onto the door of the auditorium in Oldenburg in March,
I am waiting for objections. I am happy having had the opportunity to
initiate a discussion of #79: 
Die Wanderwelle ist wohl eher eine Begleiterscheinung lokaler und radialer
Resonanzen, ein Epiphänomen.
(The traveling wave seems rather to be an attendant symptom of local and
radial resonances, i.e. an epiphenomenon.) 

I am very sorry if anybody might dislike to discuss such basic issues.
Wasn't Steven Greenberg right when he wrote (1997): 
"Temporal models lay largely out of favor until a decade ago. Several
factors have swung the place-time pendulum back toward the temporal domain", 
"The auditory periphery has long been thought to function primarily as a
frequency analyzer while more sophisticated functions such as complex
feature extraction and acoustical recognition have been considered the
province of the central pathway. However, it has become increasingly clear
that this traditional view requires serious revision in order to account
for the auditory system's capability of encoding meaningful information
under a wide range of acoustical conditions." 

#32) Das tonale Hören ist begrenzt auf den Bereich musikalischer Harmonie
zwischen etwa 65 Hz und 4000 Hz.
(Tonal listening is limited to frequencies between about 65 Hz and 4 kHz
where musical harmony is perceived.)
#33) Es beruht nicht nur auf spektraler Ordnung (Tonotopie) sondern
gleichzeitig auch auf zeitlicher Koinzidenz.
(It is based not just on spectral order (tonotopy) but simultaneously on
temporal coincidence, too.)
#34) Diese Koinzidenz ist die einzige plausible Grundlage des Gleichklangs
über Oktaven und andere Intervalle. 
(This coincidence provides the only plausible explanation of unison across
octaves and other intervals.)

What about dyads, I just guess, larger numbers were too demanding for those
who tried to defend the spectral point of view. Be open to simplicity,

Eckard Blumschein