The interval-vector is a vector whose elements list in succession the number of occurrences of each interval in an equal-temperament or one of its subsets, the elements ordered according to interval size from smallest to largest.
The diagram below represents 12-edo as a circle-of-degrees, with pink lines connecting each degree to form the circumference of the circle, and with other color-coded lines within the circle representing the interval-classes which can be found in the C-major scale used as the example. Legend:
| color | ic | standard interval names | frequency |
|---|---|---|---|
| black | ic 1 | minor-2nd / major-7th | 2 |
| violet | ic 2 | major-2nd / minor-7th | 5 |
| blue | ic 3 | minor-3rd / major-6th | 4 |
| green | ic 4 | major-3rd / minor-6th | 3 |
| yellow | ic 5 | perfect-4th / perfect-5th | 6 |
| orange | ic 6 | augmented-4th / diminished-5th | 1 |
It is only necessary to count the lines of each color to see the frequency of occurrence of each interval-class in the 12-edo C-major scale. The result is shown in the interval vector <254361>.
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