Showing posts with label Music. Show all posts
Showing posts with label Music. Show all posts

## Tuesday, February 11, 2014

### The Monochord

 Pythagoras in School of Athens

A monochord is an ancient musical and scientific laboratory instrument. It is also the class-name for any musical stringed instrument having only one string (such as the Vietnamese Đàn bầu). The word "monochord" comes from the Greek and means literally "one string." In a true monochord, a single string is stretched over a sound box. The string is fixed at both ends while one or many movable bridges are manipulated to demonstrate mathematical relationships between sounds.
 [Slide 3-3: Closeup of Tablet, Bouleau. Janson, H. W. History of Art. (Fifth Edition.NY: Abrams, 1995). p.497 Raphael’s School of Athens shows Pythagoras is explaining the musical ratios to a pupil. Notice the tablet. It shows the words diatessaron, diapente, diapason. The roman numerals for 6, 8, 9, and 12, showing the ratio of the intervals, same as in the music book frontispiece.The word for the tone, ΕΠΟΓΛΟΩΝΕΠΟΓΛΟΩΝΕΠΟΓΛΟΩΝΕΠΟΓΛΟΩΝ, at the top. Under the tablet is a triangular number 10 called the sacred tetractys]

The monochord can be used to illustrate the mathematical properties of musical pitch. For example, when a monochord's string is open it vibrates at a particular frequency and produces a pitch. When the length of the string is halved, and plucked, it produces a pitch an octave higher and the string vibrates at twice the frequency of the original (2:1)  . Half of this length will produce a pitch two octaves higher than the original—four times the initial frequency (4:1)—and so on. Standard diatonic Pythagorean tuning (Ptolemy’s Diatonic Ditonic) is easily derived starting from superparticular ratios, (n+1)/n, constructed from the first four counting numbers, the tetractys, measured out on a monochord.[citation needed]

 The Divine Monochord, from Fludd’s Utriusque Cosmi Maioris Scilicet et Minoris Metaphysica (1617)

The name "monochord" is sometimes incorrectly applied to an instrument with one open string and a second string with a movable bridge; however, such a two-string instrument is properly called a bichord. With two strings you can easily demonstrate how various musical intervals sound. Both open strings are tuned to the same pitch, and then the movable bridge is put in a mathematical position to demonstrate, for instance, the major third (at 4/5th of the string length)   or the minor third (at 5/6th of the string length)  .

***

SEE:Infinite Fire Webinar II - The Emblemata of the Atalanta Fugiens by Dr. Peter J. Forshaw

See: Atalanta fugiens

## Saturday, February 02, 2013

### Delving Deeper into the Subject of Binaural Beats

 Scheme showing the course of the fibers of the lemniscus; medial lemniscus in blue, lateral in red. (Superior olivary nucleus is labeled at center right.) The superior olivary nucleus is considered part of the pons and is a part of the auditory system, aiding the perception of sound.

It is important that people understand that I hold no credentials in terms of physiology or credentials as a scientist. This is purely from a layman subjective questionings,  as to the viability of what helps to produce effective layering of consciousness's  abilities to explore.

Why is this effective and what is accomplished?

## Physiology

The sensation of binaural beats is believed to originate in the superior olivary nucleus, a part of the brain stem. They appear to be related to the brain's ability to locate the sources of sounds in three dimensions and to track moving sounds, which also involves inferior colliculus (IC) neurons.[17] Regarding entrainment, the study of rhythmicity provides insights into the understanding of temporal information processing in the human brain. Auditory rhythms rapidly entrain motor responses into stable steady synchronization states below and above conscious perception thresholds. Activated regions include primary sensorimotor and cingulate areas, bilateral opercular premotor areas, bilateral SII, ventral prefrontal cortex, and, subcortically, anterior insula, putamen, and thalamus. Within the cerebellum, vermal regions and anterior hemispheres ipsilateral to the movement became significantly activated. Tracking temporal modulations additionally activated predominantly right prefrontal, anterior cingulate, and intraparietal regions as well as posterior cerebellar hemispheres.[18] A study of aphasic subjects who had a severe stroke versus normal subjects showed that the aphasic subject could not hear the binaural beats whereas the normal subjects could.[19]

It is healthy to retain some  skepticism as a method for sounding  the process for discovery about truth in the quest for what affects can be established. So while retaining these questions in mind,  the effect of what can be gained from the idea of Binaural beat as a tool for development of consciousness is an important one to me.

I am of course drawn to those comments that deal directly with the explanations of science and physiology .

Studies have shown a neurological basis of binaural beats perception which have assisted in identifying subcortical regions associated with processing phase differences between sounds. These have been found to be generated by neurons in the inferior colliculus, auditory cortex [15], [16] and the medial olivary nucleus, all of which are thought to be involved in processing and integration of auditory stimuli [17]. The effect of binaural beats on psychological and biological aspects however has been somewhat less clear.

A final consideration is the use of pink noise, overlaid music or sound, to generate some sort of effect. One study [33] compared music with an embedded binaural beat to music without one and generated a significant decrease in pain medication both during and after an operation, however the study was not controlled as participants were allowed to choose their own music. Also, other studies using pink noise [8], [18] have not detected entrainment, but have found psychological changes previously discussed. Comparing pink noise with a binaural beat, without and a control and subsequent effects on electrophysiological and psychological factors may be of interest.

In conclusion, this study aimed to examine if binaural beats were able to alter psychological processes and entrain cortical frequencies. Furthermore it aimed to examine if personality traits modulated entrainment. No statistically significant changes or relationships were detected between binaural beat stimulation at Beta and Theta frequencies and white noise control conditions in any personality trait, the vigilance task or EEG power spectra analysis. These results suggest that relatively short presentation steady state binaural beat stimulation at Beta and Theta frequencies are insufficient to generate entrainment and in turn this lack of entrainment does not seem to be related to personality traits. Additionally it appears that short presentation stimulation of binaural beats is ineffective at altering vigilance.A High-Density EEG Investigation into Steady State Binaural Beat Stimulation

#### OBJECTIVE:

Brainwave entrainment (BWE), which uses rhythmic stimuli to alter brainwave frequency and thus brain states, has been investigated and used since the late 1800s, yet many clinicians and scientists are unaware of its existence. We aim to raise awareness and discuss its potential by presenting a systematic review of the literature from peer-reviewed journals on the psychological effects of BWE.A comprehensive review of the psychological effects of brainwave entrainment.

## Wednesday, December 19, 2012

### Binaural beats by Wiki(updated April 2016)

A binaural beat is an auditory illusion perceived when two different pure-tone sine waves, both with frequencies lower than 1500 Hz, with less than a 40 Hz difference between them, are presented to a listener dichotically, that is one through each ear.[1] For example, if a 530 Hz pure tone is presented to a subject's right ear, while a 520 Hz pure tone is presented to the subject's left ear, the listener will perceive the auditory illusion of a third tone, in addition to the two pure-tones presented to each ear. The third sound is called a binaural beat, and in this example would have a perceived pitch correlating to a frequency of 10 Hz, that being the difference between the 530 Hz and 520 Hz pure tones presented to each ear.[2]

## History

The term 'binaural' literally signifies 'to hear with two ears', and was introduced in 1859 to signify the practice of listening to the same sound through both ears, or to two discrete sounds, one through each ear. It was not until 1916 that Carl Stumpf (1848-1936), a German philosopher and psychologist, distinguished between dichotic listening, which refers to the stimulation of each ear with a different stimulus, and diotic listening, the simultaneous stimulation of both ears with the same stimulus.[3][4]

Later, it would be become apparent that binaural hearing, whether dichotic or diotic, is the means by which the geolocation and direction of a sound is determined.[5][6]

Scientific consideration of binaural hearing began before the phenomenon was so named, with the ideas articulated in 1792 by William Charles Wells (1757–1817), a Scottish-American printer, and physician at Saint Thomas' Hospital, London. Wells sought to theoretically examine and explain aspects of human hearing, including the way in which listening with two ears rather than one might affect the perception of sound, which proceeded from his research into binocular vision.[7][8]

Subsequently, between 1796 and 1802, Giovanni Battista Venturi (1746 - 1822), an Italian physicist, savant, man of letters, diplomat, and historian of science, conducted and described a series of experiments intended to elucidate the nature of binaural hearing.[9][10][11][12] It was in an appendix to a monograph on color that Venturi described experiments on auditory localization using one or two ears, concluding that "the inequality of the two impressions, which are perceived at the same time by both ears, determines the correct direction of the sound."[13][14]

However, none of Venturi's contemporaries at the end of the eighteenth and beginning of the nineteenth centuries considered his original work worthy of citation or attention, with the exception of Ernst Florens Friedrich Chladni (1756–1827), a German physicist and musician, who is widely cited as the father of acoustics. After investigating the behavior of vibrating strings and plates, and examining the way in which sound appeared to be perceived, Chladni acknowledged Venturi's work, agreeing with him that the ability to determine the location, and direction of sound depended upon detected differences in a sound between both ears, including amplitude and frequency, subsequently denoted by the term 'interaural differences'.[15][16][17]

Other significant historic investigations into binaural hearing include those of Charles Wheatstone (1802–1875), an English scientist, whose many inventions included the concertina and the stereoscope, Ernst Heinrich Weber (1795–1878), a German physician cited as one of the founders of experimental psychology; and August Seebeck (1805–1849), a scientist at the Technische Universität, Dresden, remembered for his work on sound and hearing. Like Wells, these researchers attempted to compare and contrast what would become known as binaural hearing with the principles of binocular integration generally, and binocular color mixing specifically. They found that binocular vision did not follow the laws of combination of colors from different bands of the spectrum. Rather, it was found that when presenting a different color to each eye, they did not combine, but often competed for perceptual attention.[18][19][20][21]

Meanwhile, of Wheatstone conducted experiments in which he presented a different tuning fork to each ear, stating:

It is well known, that when two consonant sounds are heard together, a third sound results from the coincidences of their vibrations; and that this third sound, which is called the grave harmonic, is always equal to unity, when the two primitive sounds are represented by the lowest integral numbers. This being premised, select two tuning-forks the sounds of which differ by any consonant interval excepting the octave; place the broad sides of their branches, while in vibration, close to one ear, in such a manner that they shall nearly touch at the acoustic axis; the resulting grave harmonic will then be strongly audible, combined with the two other sounds; place afterwards one fork to each ear, and the consonance will be heard much richer in volume, but no audible indications whatever of the third sound will be perceived.[22]

Wheatstone's reference to the perceptual fusion of harmonically related tones were directly related to the principles examined by Wells. However, both their observations were ignored and remained uncited by contemporaraneous and subsequent German researchers of the following decades.
Venturi's experiments were repeated and confirmed by Lord Rayleigh (1842–1919), almost seventy-five years later.[23][24][25][26][27][28][29][30]

Other investigators of the late eighteenth and early nineteenth centuries, who were contemporaries of Lord Rayleigh, also investigated the significance of binaural hearing. These included Louis Trenchard More (1870-1944), a professor of physics, and Harry Shipley Fry (1878-1949), a lecturer in chemistry, both at the University of Cincinnati; H. A. Wilson and Charles Samuel Myers, both professors of science at King's College London; and Alfred M. Mayer (1836 - 1897), an American physicist, each of whom conducted experimental investigations with intent to discover the means by which human subjects ascertain the location, origin, and direction of sound, believing this to be in some way dependent on dichotic hearing, that is listening to sound through both ears.[31][32][33][34]

Understanding of how the difference in sound signal between two ears contributes to auditory processing in such a way as to enable the location and direction of sound to be determined was considerably advanced after the invention of the differential stethophone by Somerville Scott Alison in 1859, who coined the term 'binaural'. Alison based his stethophone on the stethoscope, a previous invention of René Théophile Hyacinthe Laennec (1781–1826).[35]

Unlike the stethoscope, which had only a single sound-source piece placed upon the chest, Alison's stethophone had two separate ones, allowing the user to hear and compare sounds derived from two discreet locations. This allowed a physician to identify the source of a sound through the process of binaural hearing. Subsequently, Alison referred to his invention as a 'binaural stethoscope', describing it as:

…an instrument consisting of two hearing-tubes, or trumpets, or stethoscopes, provided with collecting-cups and ear-knobs, one for each ear respectively. The two tubes are, for convenience, mechanically combined, but may be said to be acoustically separate, as care is taken that the sound, once admitted into one tube, is not communicated to the other.[36][37]

## Neurophysiology

### Cortical Oscillation and Electroencephalography (EEG)

The activity of neurons generate electric currents; and the synchronous action of neural ensembles in the cerebral cortex, comprising large numbers of neurons, produce macroscopic oscillations, which can be monitored and graphically documented by an electroencephalogram (EEG). The electroencephalographic representations of those oscillations are typically denoted by the term 'brainwaves' in common parlance.[38][39]

Neural oscillations are rhythmic or repetitive electrochemical activity in the brain and central nervous system. Such oscillations can be characterized by their frequency, amplitude and phase. Neural tissue can generate oscillatory activity driven by mechanisms within individual neurons, as well as by interactions between them. They may also adjust frequency to synchronize with the periodicity of an external acoustic or visual stimuli.[40]

The technique of recording neural electrical activity within the brain from electrochemical readings taken from the scalp originated with the experiments of Richard Caton in 1875, whose findings were developed into electroencephalography (EEG) by Hans Berger in the late 1920s.

### Frequency bands of cortical neural ensembles

The fluctuating frequency of oscillations generated by the synchronous activity of cortical neurons, measurable with an electroencephalogram (EEG), via electrodes attached to the scalp, are conveniently categorized into general bands, in order of decreasing frequency, measured in Hertz (HZ) as follows:[41][42]

In addition, three further wave forms are often delineated in electroencephalographic studies:

It was Berger who first described the frequency bands Delta, Theta, Alpha, and Beta.

### Neurophysiological origin of binaural beat perception

Binaural-beat perception originates in the inferior colliculus of the midbrain and the superior olivary complex of the brainstem, where auditory signals from each ear are integrated and precipitate electrical impulses along neural pathways through the reticular formation up the midbrain to the thalamus, auditory cortex, and other cortical regions.[44][45][46][47]

## Neural oscillations and mental state

Following the technique of measuring such brainwaves by Berger, there has remained a ubiquitous consensus that electroencephalogram (EEG) readings depict brainwave wave form patterns that alter over time, and correlate with the aspects of the subject's mental and emotional state, mental status, and degree of consciousness and vigilance.[48][49][50] It is therefore now established and accepted that discreet electroencephalogram (EEG) measurements, including frequency and amplitude of neural oscillations, correlate with different perceptual, motor and cognitive states.[51][52][53][54][55][56][57][58][59][60][61]

Furthermore, brainwaves alter in response to changes in environmental stimuli, including sound and music; and while the degree and nature of alteration is partially dependent on individual perception, such that the same stimulus may precipitate differing changes in neural oscillations and correlating electroencephalogram (EEG) readings in different subjects, the frequency of cortical neural oscillations, as measured by the EEG, has also been shown to synchronize with or entrain to that of an external acoustic or photic stimulus, with accompanying alterations in cognitive and emotional state. This process is called neuronal entrainment or brainwave entrainment.

## Entrainment

### Meaning and Origin of the Term 'Entrainment'

Entrainment is a term originally derived from complex systems theory, and denotes the way that two or more independent, autonomous oscillators with differing rhythms or frequencies, when situated in a context and at a proximity where they can interact for long enough, influence each other mutually, to a degree dependent on coupling force, such that they adjust until both oscillate with the same frequency. Examples include the mechanical entrainment or cyclic synchronization of two electric clothes dryers placed in close proximity, and the biological entrainment evident in the synchronized illumination of fireflies.[62]

Entrainment is a concept first identified by the Dutch physicist Christiaan Huygens in 1665 who discovered the phenomenon during an experiment with pendulum clocks: He set them each in motion and found that when he returned the next day, the sway of their pendulums had all synchronized.[63]

Such entrainment occurs because small amounts of energy are transferred between the two systems when they are out of phase in such a way as to produce negative feedback. As they assume a more stable phase relationship, the amount of energy gradually reduces to zero, with system of greater frequency slowing down, and the other speeding up.[64]

Subsequently, the term 'entrainment' has been used to describe a shared tendency of many physical and biological systems to synchronize their periodicity and rhythm through interaction. This tendency has been identified as specifically pertinent to the study of sound and music generally, and acoustic rhythms specifically. The most ubiquitous and familiar examples of neuromotor entrainment to acoustic stimuli is observable in spontaneous foot or finger tapping to the rhythmic beat of a song.

### Exogenous entrainment

Exogenous rhythmic entrainment, which occurs outside the body, has been identified and documented for a variety of human activities, which include the way people adjust the rhythm of their speech patterns to those of the subject with whom they communicate, and the rhythmic unison of an audience clapping.[65]

Even among groups of strangers, the rate of breathing, locomotive and subtle expressive motor movements, and rhythmic speech patterns have been observed to synchronize and entrain, in response to an auditory stimuli, such as a piece of music with a consistent rhythm.[66][67][68][69][70][71][72] Furthermore, motor synchronization to repetitive tactile stimuli occurs in animals, including cats and monkeys as well as humans, with accompanying shifts in electroencephalogram (EEG) readings.[73][74][75][76][77]

### Endogenous entrainment

Examples of endogenous entrainment, which occurs within the body, include the synchronizing of human circadian sleep-wake cycles to the 24-hour cycle of light and dark.[78] and the synchronization of a heartbeat to a cardiac pacemaker.[79]

### Brainwave entrainment

Main article: Brainwave entrainment

Brainwaves, or neural oscillations, share the fundamental constituents with acoustic and optical wave forms, including frequency, amplitude, and periodicity. Consequently, Huygens' discovery precipitated inquiry into whether or not the synchronous electrical activity of cortical neural ensembles might not only alter in response to external acoustic or optical stimuli but also entrain or synchronize their frequency to that of a specific stimulus.[80][81][82][83]

Brainwave entrainment is a colloquialism for such 'neural entrainment', which is a term used to denote the way in which the aggregate frequency of oscillations produced by the synchronous electrical activity in ensembles of cortical neurons can adjust to synchronize with the periodicity of an external stimuli, such as a sustained acoustic frequency perceived as pitch, a regularly repeating pattern of intermittent sounds, perceived as rhythm, or a regularly rhythmically intermittent flashing light.

### The frequency following response and auditory driving

The hypothesized entrainment of neural oscillations to the frequency of an acoustic stimulus occurs by way of the Frequency following response (FFR), also referred to as Frequency Following Potential (FFP). The use of sound with intent to influence brainwave cortical brainwave frequency is called auditory driving.[84][85]
Auditory driving refers to the hypothesized ability for repetitive rhythmic auditory stimuli to 'drive' neural electric activity to entrain with it. By the principles of such hypotheses, it is proposed that, for example, a subject who hears drum rhythms at 8 beats per second, will be influenced such that an electroencephalogram (EEG) reading will show an increase brainwave activity at 8 Hz range, in the upper theta, lower alpha band.

### Binaural beats and neural entrainment

One of the problems inherent in any scientific investigation conducted in order to ascertain whether brainwaves can entrain to the frequency of an acoustic stimulus is that human subjects rarely hear frequencies below 20 Hz, which is exactly the range of Delta, Theta, Alpha, and low to mid Beta brainwaves.[86][87] Among the methods by which some investigations have sought to overcome this problem is to measure electroencephalogram (EEG) readings of a subject while he or she listens to binaural beats. Subsequent to such investigations, there is significant evidence to show that such listening precipitates auditory driving by which ensembles of cortical neurons entrain their frequencies to that of the binaural beat, with associated changes in self-reported subjective experience of emotional and cognitive state.[88][89][90][91][92][93][94][95][96][97][98][99][100][101][102][103]

## Binaural beats and music

Many of the aforementioned reports are based on the use of auditory stimuli that combines binaural beats with other sounds, including music and verbal guidance. This consequently precludes the attribution of any influence on or positive outcome for the listener specifically to the perception of the binaural beats.[104] Very few studies have sought to isolate the effect of binaural beats on listeners. However, initial findings in one experiment suggest that listening to binaural beats may exert an influence on both Low Frequency and High

Frequency components of heart rate variability, and may increase subjective feelings of relaxation.[105]
Notwithstanding this problem, a review of research findings suggest that listening to music and sound can modulate autonomic arousal through entrainment of neural oscillations. Furthermore, music generally, and rhythmic patterns, such as those produced by percussive performance including drumming specifically, have been shown to influence arousal ergotropically and trophotropically, increasing and decreasing arousal respectively.[106] Such auditory stimulation has been demonstrated to improve immune function, facilitate relaxation, improve mood, and contribute to the alleviation of stress.[107][108][109][110][111][112][113][114]

Meanwhile, the therapeutic benefits of listening to sound and music, whether or not the outcome can be attributed to neural entrainment, is a well-established principle upon which the practice of receptive music therapy is founded. The term 'receptive music therapy' denotes a process by which patients or participants listen to music with specific intent to therapeutically benefit; and is a term used by therapists to distinguish it from 'active music therapy' by which patients or participants engage in producing vocal or instrumental music.[115]

Receptive music therapy is an effective adjunctive intervention suitable for treating a range of physical and mental conditions.[116]

Meanwhile, the evident changes in neural oscillations precipitated by listening to music, which are demonstrable through electroencephalogram (EEG) measurements,[117][118][119][120][121][122] have contributed to the development of neurologic music therapy, which uses music and song as an active and receptive intervention, to contribute to the treatment and management of disorders characterized by impairment to parts of the brain and central nervous system, including stroke, traumatic brain injury, Parkinson's disease, Huntington's disease, cerebral palsy, Alzheimer's disease, and autism.[123][124][125]

## Non ordinary states of consciousness

Historically, music generally, and percussive performance specifically was and remains integral to ritual ceremony and spiritual practice among early and indigenous peoples and their descendants, where it is often used to induce the non ordinary state of consciousness (NOSC) believed by participants to be a requisite for communication with spiritual energies and entities.[126][127]

While there is no scientific evidence for existence of such energy or entities, and thereby nor the human capacity to communicate with them, the findings of some contemporary research suggests that listening to rhythmic sounds, especially percussion, can induce the subjective experience of a non ordinary states of consciousness (NOSC), with correlating electroencephalogram (EEG) profiles comparable to those associated with some forms of meditation, while also increasing the susceptibility to hypnosis.[128][129][130][131] Specifically, some investigations show that the electroencephalogram (EEG) readings attained while a subject is meditating are comparable to those taken while he or she is listening to binaural beats, characterized by increased activity in the Alpha and Theta bands.[132][133][134][135][136]

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