Interval matrix: Difference between revisions
→Examples: Added an interval matrix example for a temperament-agnostic situation, where no cent values or JI ratios are known but instead the number of L's and s's that make up each interval |
m →Using step sizes: Wasn't sure if "rotate to the right" was the same as "shift right" (I think it's supposed to be shift left); edited just in case. |
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|5L + s | |5L + s | ||
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To find the next row means finding the substrings starting at the second L and ending at any other step after it. However, this is equivalent to rotating the the scale | To find the next row means finding the substrings starting at the second L and ending at any other step after it. However, this is equivalent to rotating the the scale (specifically moving the first L to the end) and finding the substrings that start at the first step of that rotated scale. Since LLsLLLs represents the ionian mode, shifting this way produces the dorian mode (LsLLLsL), and the mode after that is the phrygian mode (sLLLsLL), so populating the rest of the interval matrix means finding the quantities of L's and s's for every substring for every mode. The completed matrix is shown below: | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||