Musical set theory

All-trichord hexachord

In music, the all-trichord hexachord is a unique hexachord that contains all twelve trichords, or from which all twelve possible trichords may be derived. The prime form of this set class is {012478} and its Forte number is 6-Z17. Its complement is 6-Z43 and they share the interval vector of <3,2,2,3,3,2>. It appears in pieces by Robert Morris and Elliott Carter. Carter uses all-interval twelve-tone sets consisting of all-trichord hexachords in his Symphonia: sum fluxae pretium spei. (Wikipedia).

All-trichord hexachord
Video thumbnail

Burnside's Lemma (Part 1) - combining group theory and combinatorics

A result often used in math competitions, Burnside's lemma is an interesting result in group theory that helps us count things with symmetries considered, e.g. in some situations, we don't want to count things that can be transformed into one another by rotation different, like in this cas

From playlist Traditional topics, explained in a new way

Video thumbnail

Burnside's Lemma (Part 2) - combining math, science and music

Part 1 (previous video): https://youtu.be/6kfbotHL0fs Orbit-stabilizer theorem: https://youtu.be/BfgMdi0OkPU Burnside's lemma is an interesting result in group theory that helps us count things with symmetries considered, e.g. in some situations, we don't want to count things that can be

From playlist Traditional topics, explained in a new way

Video thumbnail

Trigonometry 4 The Area of a Triangle

Various ways of using trigonometry to determine the area of a triangle.

From playlist Trigonometry

Video thumbnail

Adding Vectors Geometrically: Dynamic Illustration

Link: https://www.geogebra.org/m/tsBer5An

From playlist Trigonometry: Dynamic Interactives!

Video thumbnail

Using JavaScript and D3js to Create A Movie Ranking App (Tutorial)

D3.js is a great library for creating charts but it can be a little daunting if you don't understand the basics. In this video, we help you to get started by building a simple Movie App. We cover basic DOM Manipulation, 3rd Party API Connections, and Intermediate DOM Manipulation. Pre-

From playlist JavaScript

Video thumbnail

Modern CSS Tips and Tricks

HTML & CSS have come a long way in a relatively short period of time. In this video, we show you some of the modern CSS tips and tricks in an effort to help you improve your workflow and become a more efficient front-end developer. Got any tips of your own? Comment below and let us know!

From playlist Web Design: CSS / SVG

Video thumbnail

NoSQL: Cassandra & MongoDB | Webinar -1 | Edureka

Watch the sample class recording: http://www.edureka.co/mongodb?utm_source=youtube&utm_medium=referral&utm_campaign=nosql-cass-mongo-2-6-15 NoSQL includes a wide range of different database technologies and were developed as a result of surging volume of data stored. Relational databases

From playlist Webinars by Edureka!

Video thumbnail

Cooking and 100k Stream

It's 2022! We will cook an authentic American Pumpkin Pie. How hard could it be? Recipe: 3/4 cup granulated sugar 1 tsp ground cinnamon 1/2 tsp salt 1/4 tsp allspice 2 large eggs 1 can Mississippi Belle 100% pure pumpkin 1 can evaporated milk 1 unbaked 9-inch deep dish pie shell Mix sug

From playlist Live Streams

Video thumbnail

7. Value At Risk (VAR) Models

MIT 18.S096 Topics in Mathematics with Applications in Finance, Fall 2013 View the complete course: http://ocw.mit.edu/18-S096F13 Instructor: Kenneth Abbott This is an applications lecture on Value At Risk (VAR) models, and how financial institutions manage market risk. License: Creative

From playlist MIT 18.S096 Topics in Mathematics w Applications in Finance

Video thumbnail

A Completeness Theorem for Pseudo-Linear Functions with App... - Charanjit Jutla

Charanjit Jutla IBM T. J. Watson Research Center February 28, 2010 We prove completeness results for certain class of functions which have implications for automatic proving of universally-composable security theorems for ideal and real functionalities composed of if-then-else programs wi

From playlist Mathematics

Video thumbnail

Learn Modern C++ by Building an Audio Plugin (w/ JUCE Framework) - Full Course

In this tutorial you will learn modern C++ by building an audio plugin with the JUCE Framework. ✏️ This course was developed by Matkat Music. Check him out on YouTube and Instagram: 🔗 https://www.youtube.com/matkatmusic 🔗 https://www.instagram.com/matkatmusic 💻 Code: https://github.com/m

From playlist C / C++

Video thumbnail

Pythagorean Trig ID via Areas (2)

Pythagorean Trig Identity via Areas. Made with #GeoGebra: https://www.geogebra.org/m/xmhyyapn

From playlist Trigonometry: Dynamic Interactives!

Video thumbnail

JavaScript Crash Course For Beginners | JavaScript Full Course | JavaScript Tutorial | Simplilearn

🔥Post Graduate Program In Full Stack Web Development: https://www.simplilearn.com/pgp-full-stack-web-development-certification-training-course?utm_campaign=JavaScriptCrashCourse-Njznl2E1O6s&utm_medium=Descriptionff&utm_source=youtube 🔥Caltech Coding Bootcamp (US Only): https://www.simplile

From playlist Simplilearn Live

Related pages

Interval vector | All-interval tetrachord | Forte number