Radian: Difference between revisions
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Other approximations include 5\[[31edo|31]], which is also for the meantone, 11\69, the local meantone as well, and 13\82. Starting with 88edo, difference between the radian (14 steps out of 88) and 9/8 (15 steps out of 88) is visible. | Other approximations include 5\[[31edo|31]], which is also for the meantone, 11\69, the local meantone as well, and 13\82. Starting with 88edo, difference between the radian (14 steps out of 88) and 9/8 (15 steps out of 88) is visible. | ||
== Relative Radian == | |||
The '''Relative Radian''' is an interval based on a given interval. In being the interval of <math>\frac{1}{2\pi}</math> of this interval, pitches, it is the generalization of the common radian. | |||
The interval has an interpretation that relates to equal divisions of all intervals. Since pitch classes in equal divisions of all intervals form in the shape of a circle, radian interval therefore occurs as the radius of this perceptional circle. | |||
Every noticeable interval is the relative radian of some [[EDO]] of size <math>\frac{4800\pi}{7}</math> or smaller. | |||