Definition of Octave. When Octave encounters an identifier that is undefined, it first looks for variables or functions … More Octave examples can be found in the Octave wiki. For Octave to integrate equations of this form, you must first provide a definition of the function f(x,t). On a keyboard or piano, there are 11 keys between each octave (including white and black keys), not including the target notes themselves. This is why it is called “octave”. Solve systems of equations with linear algebra operations on vectors and matrices. Octave, in music, an interval whose higher note has a sound-wave frequency of vibration twice that of its lower note. This is straightforward, and may be accomplished by entering the function body directly on the command line. Syntax Examples. For example, the following commands define the right-hand side function for an interesting pair of nonlinear differential equations. If we started from D, we would close an octave when we reached D again. In electronics, an octave (symbol oct) is a logarithmic unit for ratios between frequencies, with one octave corresponding to a doubling of frequency. Explanation and definition. The term is derived from the Western musical scale where an octave is a doubling in frequency. Octave does not require you to load function definitions from files before using them. An octave is a musical interval. It’s a bit of a stretch, but most piano players, at one point or another, learn to play octaves with one hand (thumb and pinky). Octave definition: An octave is a series of eight notes in a musical scale. Octave has been derived from the Latin word octāva, which means “eighth part.”It is a verse form that contains eight lines, which usually appear in an iambic pentameter.In simple words, it can be any stanza in a poem that has eight lines and follows a rhymed or unrhymed meter.. Types of Octave. Small octave definition is - a musical octave beginning with and ascending from the first C below middle C. Thus the international standard pitch A above middle C vibrates at 440 hertz (cycles per second); the octave above this A vibrates at 880 hertz, while the octave below it vibrates The Octave syntax is largely compatible with Matlab. But I’ll offer a couple of examples to get things rolling. We use the example of C here, but this is valid for any note, as long as it starts and ends on the same note. An octave is defined both in terms of music and in terms of physics: In terms of music, an octave is the distance between one note (like C#) and the next note bearing its same name (the next C# that’s either higher or lower). For example, the frequency one octave from (or above) 40 Hz is 80 Hz. 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