Sage is a free open-source mathematics software system licensed under the GPL. It combines the power of many existing open-source packages into a common Python-based interface.
Mission: Creating a viable free open source alternative to Magma, Maple, Mathematica and Matlab.

It is much more fun to put cream cheese on these bagels than on an ordinary bagel. In additional to the intellectual stimulation, you get more cream cheese, because there is slightly more surface area.

This article presents some of the core concepts of Fuzzy Logic and demonstrates how they may be applied to problems common in music analysis and composition

Lexikon-Sonate is an interactive realtime composition environment for musical composition and live performances. It takes advantage of composition algorithms that has been developed by Karlheinz Essl since 1985. With this algorithmic music generator on can easily create fascinating and complex musical structures on the fly. Furthermore, Lexikon-Sonate is an infinite music installation that can run on a computer for years without repeating itself. Finally, Lexikon-Sonate can be used as an instrument for live performance of electronic music.

According to many pop-musicologists the flat-seventh chord, or subtonic, can be regarded as one of the marks of the Beatles' experimental period. Some of them even view the way in which the group handled this chord in their songs as one of their real musical innovations. On the Beatles' 1966 album Revolver, this chord is paired to a lavish use of quartal harmonies. Is this peculiar chord, along with the quartal harmonies, responsible for the album's meditative atmosphere? Answering this question, Ger Tillekens here takes a closer look at the flat-seventh in songs like "Taxman," "I'm Only Sleeping," "Love You To" and "Here, There, and Everywhere."

Microtonal and just intonation composers and theorists have recently been working to re-establish the connection between math and music through the development of microtonal music theory. This vibrant, growing community of microtonal music theorists has been making tremendous contributions to our knowledge and understanding of a variety of topics in contemporary and historic music theory:

This is a collection of short articles designed to provide an introduction to the areas of modern mathematics and pointers to further information, as well as answers to some common (or not!) questions.

The number 6174 is a really mysterious number. At first glance, it might not seem so obvious. But as we are about to see, anyone who can subtract can uncover the mystery that makes 6174 so special.