Harmonic Negentropy or Harmonic Reverse Entropy as foundation of quantum coherence reality: Paul Erlich and Daniel Liu Bowling

Harmonic Entropy: A concept developed by Paul Erlich, measuring the dissonance of an interval based on the uncertainty involved in interpreting that interval in terms of an integer ratio.

So I've been having a lot of fun on youtube lately. There are tons of "music and math" videos where Westernized mass mind control "sophisticates" regurgitate their "knowledge" of music based on their science/math training. This is quite hilarious! We are talking - engineering professors, math professors, etc., many of whom say they either are not musicians or are Western trained musicians, etc.

So in one of the comments - someone recommends a dude "Paul Erlich" at Yale - his "Harmonic Entropy" concept. So I look him up and Wikipedia emphasizes he was born in 1971. So we are the same age!

Erlich got his corroboration from a University of Wisconsin engineering professor who digs acoustics - William A. Sethares. Now this is my Alma Mater! haha. Madison.

Among the earliest musical traditions, musical consonance was thought to arise in a quasi-mystical manner from ratios of small whole numbers. (For instance, Pythagoras made observations relating to this, and the ancient Chinese Guqin contains a dotted scale representing the harmonic series.)

So this is the typical "bait and switch" tactic - you gotta mention Pythagoras right? And then you throw him aside as simple-minded New Age cult mysticism right? haha.

But here we get the juicy tid-bit of the similarity with Chinese tuning! Wow!

What gets left out of this fairy tale fantasy? The truth of noncommutative phase from quantum physics - as Alain Connes points out, 2,3, infinity is not some simple-minded mysticism! And quantum physicist Eddie Oshins realized this noncommutative phase was the secret of Taoist Neigong alchemy training!

I made this same discovery - and all from just pondering this math mystery in high school! haha. From my intensive music training.

But no - we can't do that can we? Instead these Western symmetric math mind controlled scientists obsess over - like chess players - how many combinatorials they can create from a musical vibration system based on materialism. Not accepting the truth of the empirical time-frequency infinite resonance of sound!!

  For example, everyone put the 4:5:6:7 chord near the top of their ranking of 36 recorded tetrads from least to most dissonant, while everyone put 1/7:1/6:1/5:1/4 much lower. These two chords have the same intervals. Therefore, it seems to be the case that dissonance measures which are functions of dyadic (intervallic) dissonance account for, at best, a relatively small portion of the dissonance of chords.

What is "Harmonic Entropy" then? Paul Erlich wondered why the subharmonic harmonic series was perceived differently than the overtone harmonic series - even though they have the same mathematical ratio - just as inversions.

 So an overview of Harmonic Entropy

The Sethares theory concerns the role of the place mechanism in sonance.
Erlich's Harmonic Entropy concerns the role of the periodicity mechanism.

But a phenomenon called "virtual pitch" or "fundamental tracking" is central to Parncutt's treatment of dissonance and does represent, I believe, an additional factor besides critical band roughness. This phenomenon is clearly distinct from the combination tone phenomenon, but it may have a lot to do with periodicity mechanisms. There is a very strong propensity for the ear to try to fit what it hears into one or a small number of harmonic series, and the fundamentals of these series, even if not physically present, are either heard outright, or provide a more subtle sense of overall pitch known to musicians as the "root". As a component of consonance, the ease with which the ear/brain system can resolve the fundamental is known as "tonalness." I have proposed a concept called "relative harmonic entropy" to model this component of dissonance.

Sonance has 2 components: tonalness (Erlich) and roughness (Sethares).

the critical band represents a certain degree of uncertainty in the perception of pitch,

this phrase should read:

The harmonic entropy is based on the concept that there is a degree of uncertainty in the perception of pitch,

What they are really discussing - without realizing it - is quantum Fourier or time-frequency uncertainty as a noncommutative phase shift.

 So what is the huge inaccuracy in the Harmonic Entropy concept?

Periodicity seems to work only for low notes (< 1 kHz).

This claim disregards the truth of infinite time-frequency complementary opposites from noncommutative quantum phase.

Ultrasound creates the HyperSonic Effect that increases serotonin in the brain for bliss - and so certainly that increases harmonic sensations as increased alpha brain waves - this is proven from natural resonance harmonics!

The ultrasound resonates the microtubules as macroquantum entanglement creating reverse entropy!!

 Finally, the importance of harmonics in tone perception is supported by auditory neurobiology. Electrophysiological experiments in monkeys show that some neurons in primary auditory cortex are driven not only by tones with fundamentals at the frequency to which an auditory neuron is most sensitive, but also by integer multiples and ratios of that frequency (38). Furthermore, when tested with two tones, many auditory neurons show stronger facilitation or inhibition when the tones are harmonically related. Finally, in regions bordering primary auditory cortex, neurons are found that respond to both isolated fundamental frequencies and their associated harmonic series, even when the latter is presented without the fundamental (39). These experiments led Wang to propose that sensitivity to harmonic stimuli is an organizational principle of the auditory cortex in primates, with the connections of at least some auditory neurons determined by the harmonics of the frequency they respond to best (40).

 So it is recognized that human vocalizations are "harmonic" and therefore music appears to evolve out of learning human speech! In fact the opposite is true as the above points out - our brains are tuned to harmonics already - to small integer ratios as consonance.

species that generates harmonics in vocal communication possesses the biological wherewithal to develop a sense of consonance.

I'm going to email this Daniel L. Bowling, lead author. He says - he doesn't know WHY certain species would evolve to prefer harmonic low integers. The answer again is discovered by Alain Connes - it's the truth of reality that's why! Quantum coherence from noncommutative phase. Oh he has several follow-up studies. I will read those first.

discussion of the brain studies of low integer harmonics in this book google preview

This is fascinating stuff!

The Good, the True, and the Beautiful: A Neuronal Approach

By Jean-Pierre Changeux

Jean-Pierre Changeux

Yale University Press, May 29, 2012

 Here we demonstrate that, on average, the frequency ratios of the resonant modes from all the cochleas studied possessed small integer ratios. The ratios are the same as those found by Pythagoras as being most musically pleasant and which form the basis of the Just tuning system. The statistical significance of the results was verified against a random distribution of ratios. As an explanatory model, there are attractive features in a recent theory that represents the cochlea as a surface acoustic wave resonator;

 more confirmation -

Dear Dr. Bowling: Congratulations on corroboration the secret truth of noncommutative phase as Pythagorean consonance concordance built into quantum biology. I did my master's degree on 'sound-current nondualism" based on this small number concordance secret with the discovery that Daoist philosophy is from music theory as well with the Emptiness as Octave, Yang as Perfect Fifth and Yin as Perfect Fourth. I tested this out by doing self-directed research through http://springforestqigong.com with the 12 "nodes' of the body-mind as an infinite spiral of fifths through time-frequency complementary opposites.

I still did not understand the math well enough but then Alain Connes, the Fields Medal math professor corroborated my claim, pointing out that the "universal scaling system" is 2, 3, infinity due to noncommutative phase. This was covered up at the origin of Western math based on symmetric as 2/3 subharmonic Perfect Fifth, C to F, was not allowed for the first logarithmic equation, Perfect Fifth plus Perfect Fourth = Octave from Arithmetic Mean 3/2 x Harmonic Mean 4/3 = Geometric Mean squared 2. So only C to G overtone harmonic as 3/2 Perfect Fifth was allowed for the Western tuning and thus the secret of Pythagorean harmonics was lost - as was the secret of Daoist neigong training.

So alain connes rediscovered this secret - as did Eddie Oshins, the quantum physicist who realized the secret of Neigong martial arts alchemy is from noncommutative phase - he was at Stanford's linear accelerator.

Thanks,

drew hempel, M.A.

Please let me know any comments/questions/criticisms. My blog with research details is at http://ecoechoinvasives.blogspot.com