Harmonic

Extracted Attributes

• Type

  Organization/Company

• Founder

  Vlad Tenev

• Primary Goal

  Create mathematical superintelligence

Timeline

• Vlad Tenev discussed Harmonic, his other company, and its goal to create mathematical superintelligence, separate from his work at Robinhood. (Source: Related Documents)

  Undated

Web Search Results

• Harmonic series (music) - Wikipedia

  A harmonic is any member of the harmonic series, an ideal set of frequencies that are positive integer multiples of a common fundamental frequency. The fundamental is a harmonic because it is one times itself. A harmonic partial is any real partial component of a complex tone that matches (or nearly matches) an ideal harmonic. [...] Edit links From Wikipedia, the free encyclopedia Sequence of frequencies The harmonic series (also overtone series) is the sequence of harmonics, musical tones, or pure tones whose frequency is an integer multiple of a fundamental frequency. [...] implying any particular pitch.

• Harmonic rhythm - Wikipedia

  rhythm and a slow surface rhythm (1 note per chord change). Harmonic rhythm may be described as strong or weak. [...] In music theory, harmonic rhythm, also known as harmonic tempo, is the rate at which the chords "Chord (music)") change (or progress) in a musical composition, in relation to the rate of notes. Thus a passage in common time with a stream of sixteenth notes and chord changes every measure "Bar (music)") has a slow harmonic rhythm and a fast surface or "musical" rhythm (16 notes per chord change), while a piece with a trickle of half notes and chord changes twice a measure has a fast harmonic [...] Jump to content # Harmonic rhythm Català Español 粵語 Edit links From Wikipedia, the free encyclopedia Rate at which chords change (or progress) in a musical composition Two harmonizations of "Yankee Doodle" Note the slower harmonic rhythm. Playⓘ Note the faster harmonic rhythm. Playⓘ

• Harmonic series (mathematics) - Wikipedia

  In mathematics, the harmonic series is the infinite series formed by summing all positive unit fractions: [...] "harmonic", and we call a "harmonic number" because [the infinite series] is customarily called the harmonic series." [...] The first terms of the series sum to approximately , where is the natural logarithm and is the Euler–Mascheroni constant. Because the logarithm has arbitrarily large values, the harmonic series does not have a finite limit: it is a divergent series. Its divergence was proven in the 14th century by Nicole Oresme using a precursor to the Cauchy condensation test for the convergence of infinite series. It can also be proven to diverge by comparing the sum to an integral, according to the

• Intro To The Harmonic Series - TWO MINUTE MUSIC THEORY #31

  Intro when you play a note on a particular instrument say middle C on the piano the resulting sound is a complex wave that piano string vibrates as a whole but it also vibrates in halves and in thirds and in fourths and so on when it does this it produces notes above the notes that were played which we call harmonics the built in preordained universal known as the harmonic series [Music] The Harmonic Series in this series that we call the harmonic series or the overtone series we call that

• [PDF] The Harmonic Series Diverges Again and Again

  The Harmonic Series Diverges Again and Again∗ Steven J. Kifowit Prairie State College Terra A. Stamps Prairie State College The harmonic series, ∞ X n=1 1 n = 1 + 1 2 + 1 3 + 1 4 + 1 5 + · · · , is one of the most celebrated infinite series of mathematics. As a counterexam-ple, few series more clearly illustrate that the convergence of terms to zero is not sufficient to guarantee the convergence of a series. As a known series, only a handful are used as often in comparisons.

A harmonic is a wave with a frequency that is a positive integer multiple of the fundamental frequency, the frequency of the original periodic signal, such as a sinusoidal wave. The original signal is also called the 1st harmonic, the other harmonics are known as higher harmonics. As all harmonics are periodic at the fundamental frequency, the sum of harmonics is also periodic at that frequency. The set of harmonics forms a harmonic series. The term is employed in various disciplines, including music, physics, acoustics, electronic power transmission, radio technology, and other fields. For example, if the fundamental frequency is 50 Hz, a common AC power supply frequency, the frequencies of the first three higher harmonics are 100 Hz (2nd harmonic), 150 Hz (3rd harmonic), 200 Hz (4th harmonic) and any addition of waves with these frequencies is periodic at 50 Hz. An nth characteristic mode, for n > 1, will have nodes that are not vibrating. For example, the 3rd characteristic mode will have nodes at L and L, where L is the length of the string. In fact, each nth characteristic mode, for n not a multiple of 3, will not have nodes at these points. These other characteristic modes will be vibrating at the positions L and L. If the player gently touches one of these positions, then these other characteristic modes will be suppressed. The tonal harmonics from these other characteristic modes will then also be suppressed. Consequently, the tonal harmonics from the nth characteristic modes, where n is a multiple of 3, will be made relatively more prominent. In music, harmonics are used on string instruments and wind instruments as a way of producing sound on the instrument, particularly to play higher notes and, with strings, obtain notes that have a unique sound quality or "tone colour". On strings, bowed harmonics have a "glassy", pure tone. On stringed instruments, harmonics are played by touching (but not fully pressing down the string) at an exact point on the string while sounding the string (plucking, bowing, etc.); this allows the harmonic to sound, a pitch which is always higher than the fundamental frequency of the string.