The harmonic scale is a "super-just" musical scale allowing extended just intonation, beyond 5-limit to the 19th harmonic, and free modulation through the use of synthesizers. Transpositions and tuning tables are controlled by the left hand on the appropriate note on a one-octave keyboard. For example, if the harmonic scale is tuned to a fundamental of C, then harmonics 16–32 are as follows: Some harmonics are not included: 23, 25, 29, & 31. The 21st is a natural seventh above G, but not a great interval above C, and the 27th is a just fifth above D. It was invented by Wendy Carlos and used on three pieces on her album Beauty in the Beast (1986): Just Imaginings, That's Just It, and Yusae-Aisae. Versions of the scale have also been used by Ezra Sims, Franz Richter Herf and Gosheven. (Wikipedia).
An example of a harmonic series.
From playlist Advanced Calculus / Multivariable Calculus
A more rational / integral Scale Notation | Mathematics and Music | N J Wildberger
Let's use our logical mathematical notation for the 12 tones of the chromatic scale to discuss various important scales that are found in a variety of cultures and idioms, including the major, minor, blues, pentatonic and Indian or uniform scales. But we have to let go of the unfortunate "
From playlist Maths and Music
The fundamental scale is the chromatic 12 tone scale! | Maths and music | N J Wildberger
What is the most natural scale? Can we transcend our cultural indoctrinations when it comes to music and try to see the mathematical essence of things? And can we also move beyond the familiar musical thought patterns that the architecture of the piano (and to a lesser extent that of the g
From playlist Maths and Music
C67 The physics of simple harmonic motion
See how the graphs of simple harmonic motion changes with changes in mass, the spring constant and the values correlating to the initial conditions (amplitude)
From playlist Differential Equations
Simple Harmonic Motion (10 of 16): An Explanation
This video provides a step by step explanation of simple harmonic motion. You will learn the key terms that you needed to describe an oscillating mass as well as the important points in its motion where the displacement, force, acceleration and velocity will be the greatest and least. Sim
From playlist Simple Harmonic Motion, Waves and Vibrations
AWESOME Simple harmonic motion!
In this video show simple harmonic motion on spring and pendulums, used position sensor.
From playlist MECHANICS
If the Laplacian of a function is zero everywhere, it is called Harmonic. Harmonic functions arise all the time in physics, capturing a certain notion of "stability", whenever one point in space is influenced by its neighbors.
From playlist Fourier
A review of the notes common to all formations of a G chord.
From playlist Music Lessons
The Physics of Rock I: The Motion of a Guitar String
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From playlist The Physics of Rock
HEDS | Relativistic plasma mirrors for high-power ultrashort pulses from UV to soft x-ray
HEDS Seminar Series- Julia Mikhailova – June 3rd, 2021 LLNL-VIDEO-835546
From playlist High Energy Density Science Seminar Series
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Members’ Colloquium Topic: PDEs vs. Geometry: analytic characterizations of geometric properties of sets Speaker: Svitlana Mayboroda Affiliatrion: University of Minnesota Date: February 07, 2022 In this talk we will discuss connections between the geometric and analytic/PDE properties of
From playlist Mathematics
Winding for Wave Maps - Max Engelstein
Analysis Seminar Topic: Winding for Wave Maps Speaker: Max Engelstein Affiliation: University of Minnesota Date: June 1, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Higgs bundles, harmonic maps, and applications by Richard Wentworth
Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio
From playlist Higgs Bundles
Macroscopic Description of Integrable Models in Confining Traps by Jitendra Kethepalli
DISCUSSION MEETING APS SATELLITE MEETING AT ICTS ORGANIZERS Ranjini Bandyopadhyay (RRI, India), Subhro Bhattacharjee (ICTS-TIFR, India), Arindam Ghosh (IISc, India), Shobhana Narasimhan (JNCASR, India) and Sumantra Sarkar (IISc, India) DATE & TIME: 15 March 2022 to 18 March 2022 VENUE:
From playlist APS Satellite Meeting at ICTS-2022
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With 2006 Fields Medallist Andrei Okounkov More links & stuff in full description below ↓↓↓ Professor Okounkov website: http://www.math.columbia.edu/~okounkov/ Numberphile Field Medallist Playlist: https://bit.ly/Fields_Playlist Roger Penrose on the Numberphile Podcast: https://youtu.be
From playlist Fields Medallists on Numberphile
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Channel social media: Instagram: @whatthehectogon https://www.instagram.com/whatthehect... Twitter: @whatthehectogon https://twitter.com/whatthehectogon Any questions? Leave a comment below or email me at the misspelled whatthehectagon@gmail.com Here we take the discrete route, rather
From playlist Analysis
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From playlist Mathematics