In music, 31 equal temperament, 31-ET, which can also be abbreviated 31-TET (31 tone ET) or 31-EDO (equal division of the octave), also known as tricesimoprimal, is the tempered scale derived by dividing the octave into 31 equal-sized steps (equal frequency ratios). Each step represents a frequency ratio of 31√2, or 38.71 cents. 31-ET is a very good approximation of quarter-comma meantone temperament. More generally, it is a regular diatonic tuning in which the tempered perfect fifth is equal to 696.77 cents, as shown in Figure 1. On an isomorphic keyboard, the fingering of music composed in 31-ET is precisely the same as it is in any other syntonic tuning (such as 12-ET), so long as the notes are spelled properly — that is, with no assumption of enharmonicity. (Wikipedia).

MegaFavNumbers :- Evenly Primest Prime 232,222,222,222,233,333,333,222,222,222,222,222,322,222,223

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From playlist MegaFavNumbers

help with the greatest common factor

From playlist Common Core Standards - 7th Grade

MegaFavNumbers: Plus One Primes, 154,641,337, and 62,784,382,823

My entry in the #MegaFavNumbers series looks at a particularly striking example of a very specific family of primes -- and how it connects to what digits can be the final digit of primes in different bases.

From playlist MegaFavNumbers

The Mathematical Problem with Music, and How to Solve It

There is a serious mathematical problem with the tuning of musical instruments. A problem that even Galileo, Newton, and Euler tried to solve. This video is about this problem and about some of the ways to tackle it. It starts from the basic physics of sound, proves mathematically why s

From playlist Summer of Math Exposition 2 videos

Converting mixed numbers and improper fractions (ex 2)

Converting mixed numbers and improper fractions (ex 2)

From playlist Exercise Module Videos

Introduction to Ratios (2 of 2: Equivalent Ratios)

More resources available at www.misterwootube.com

From playlist Basic Ratios & Rates

The History, The Power and the Perspectives of Numerical Simulations of Spin... by Enzo Marinari

DISCUSSION MEETING : CELEBRATING THE SCIENCE OF GIORGIO PARISI (ONLINE) ORGANIZERS : Chandan Dasgupta (ICTS-TIFR, India), Abhishek Dhar (ICTS-TIFR, India), Smarajit Karmakar (TIFR-Hyderabad, India) and Samriddhi Sankar Ray (ICTS-TIFR, India) DATE : 15 December 2021 to 17 December 2021 VE

From playlist Celebrating the Science of Giorgio Parisi (ONLINE)

Metauni event #3: Lucas Cantor presents Music @ Metaverse

Lucas spoke on the emerging role of AI in music, and how this brings into focus some of the arbitrariness about the way we construct music, using the example of equal temperament. There was a very interesting question and discussion period after the talk, which among other things touched o

From playlist Metauni

From playlist Mr Ronald's Year 10 Groups

Summer of Math Exposition 2022 - Mathematics and Music

"Better Late Than Never". I started taking Guitar lessons for the first time in my life in 2022. So I wanted to use Math to describe some musical concepts. This is a very rough draft and I wanted to share more but it's August 15th 2022. I created a slightly better video last year: h

From playlist Summer of Math Exposition 2 videos

How Pythagoras Broke Music (and how we kind of fixed it)

How does music work? What did an Ancient Greek philosopher have to do with it? Why did he keep drowning people? Discover the answers to these questions and more as we take a tour through musical tuning systems, examining how the power of mathematics has helped us build and rebuild our met

From playlist Mathematics

17.5 Transverse Standing Waves

This video covers Section 17.5 of Cutnell & Johnson Physics 10e, by David Young and Shane Stadler, published by John Wiley and Sons. The lecture is part of the course General Physics - Life Sciences I and II, taught by Dr. Boyd F. Edwards at Utah State University. This video was produced

From playlist Lecture 17B. Linear Superposition and Interference Phenomena

Determinism vs Free Will: Crash Course Philosophy #24

Do we really have free will? Today Hank explores possible answers to that question, explaining theories like libertarian free will and its counterpoint, hard determinism. -- Images via ThinkStock Produced in collaboration with PBS Digital Studios: http://youtube.com/pbsdigitalstudios C

From playlist Philosophy

Experts in Emotion 15.1a -- Jerome Kagan on Temperament

Experts in Emotion Series; Director: June Gruber, Yale University In this episode, you will learn about Temperament with Dr. Jerome Kagan from Harvard University. Dr. Kagan will share what first got him interested in this topic and highlight a few core themes in his research. Dr. Kagan w

From playlist Experts in Emotion Series with June Gruber

Three ways to solve a proportion

This is a short video tutorial on three ways to solve a proportion. For interactive applets, worksheets, and more videos go to http://www.mathvillage.info

From playlist All about ratios and proportions

Temperament, heredity, and genes | Behavior | MCAT | Khan Academy

Created by Ryan Scott Patton. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/behavior/behavior-and-genetics/v/twin-studies-and-adoption-studies?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/behavi

From playlist Behavior | MCAT | Khan Academy

Conversion Arcs and 2,916,485,648,612,232,232,816 (MegaFavNumbers)

I'm sorry. The MegaFavNumbers playlist: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo

From playlist MegaFavNumbers

Speakers: Dr. David Drogin and Dr. Steven Zucker. Created by Beth Harris and Steven Zucker.

From playlist Art history basics | Art History | Khan Academy