5-limit tuning and intervals

Semicomma

The semicomma, also Fokker's comma (after 31-TET pioneer Adriaan Fokker), is type of small musical interval, or comma, in microtonal music equivalent to 2109375:2097152, or 33×57 : 221. This is a ratio of approximately 1:1.0058283805847168, or about 10.06 cents. It is derived from the difference in pitch between three 75:64 just augmented seconds and one 8:5 just minor sixth begun on the same root ((3 × 274.58) − (1 × 813.69) = 823.74 − 813.69 = 10.05 cents). It can also be viewed as the amount by which three tritaves exceed seven minor sixths. (Wikipedia).

Semicomma
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(ML 19.5) Positive semidefinite kernels (Covariance functions)

Definition of a positive semidefinite kernel, or covariance function. A simple example. Explanation of terminology: autocovariance, positive definite kernel, stationary kernel, isotropic kernel, covariogram, positive definite function.

From playlist Machine Learning

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Colons and Semicolons

One of the least understood but quietly significant distinctions of grammar is between a semicolon and a colon; this short films explains: when we should use each construction, why it matters that we do so correctly and what we can hope to achieve with one or the other in our sentences. Fo

From playlist SELF

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Semi-coarse Spaces, Homotopy [Jonathan Treviño-Marroquín]

Semi-coarse spaces is an alternative to study (undirected) graphs through large-scale geometry. In this video, we present the structure and a homotopy what we worked on. In the final part, we look at the fundamental homotopy group of cyclic graphs.

From playlist Contributed Videos

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An incredible semicircle problem!

A semicircle contains an inscribed semicircle dividing its diameter into two lengths a and b. Can you find the formula for the inscribed semicircle's diameter in terms of the lengths a and b? What is the locus of the center of the inscribed semicircle? Thanks to Nick from Greece for the su

From playlist Math Puzzles, Riddles And Brain Teasers

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An Integral Representation for the Digamma Function!

Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy https://shop.spreadshirt.de/papaflammy 2nd Channel: https://www.youtube.com/channel/UCPctvztDTC3qYa2amc8eTrg Digamma: https://www.youtube.com/wat

From playlist Integrals

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What Does It Mean For a Matrix to be POSITIVE? The Practical Guide to Semidefinite Programming(1/4)

Video series on the wonderful field of Semidefinite Programming and its applications. In this first part, we explore the question of how we can generalize the notion of positivity to matrices. -------------------------- Timestamps: 0:00 Intro 0:41 Questions 2:50 Definition 6:09 PSD vs

From playlist Semidefinite Programming

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Real Analysis: Partial Differentiation

This video is about partial differentiation.

From playlist Basics: Real Analysis

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Inner & Outer Semidirect Products Derivation - Group Theory

Semidirect products are a very important tool for studying groups because they allow us to break a group into smaller components using normal subgroups and complements! Here we describe a derivation for the idea of semidirect products and an explanation of how the map into the automorphism

From playlist Group Theory

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Product Rules in Semidefinite Programming - Rajat Mittal

Rajat Mittal March 22, 2010 Semidefinite programming bounds are widely used in combinatorial optimization, quantum computing and complexity theory. The first semidefinite programming bound to gain fame is the so-called theta number developed by Lov\'asz to compute the Shannon capacity of

From playlist Mathematics

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How To Calculate The Perimeter of a Semicircle

This video explains how to calculate the perimeter of a semicircle given the radius and diameter in two separate practice problems.

From playlist Pre-Algebra Video Playlist

Related pages

Cent (music) | Septimal kleisma | Septimal semicomma