User:Contribution/Exploring Selected Modes in 12-EDO: Difference between revisions
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== Distincly tempered out commas == | == Distincly tempered out commas == | ||
12edo is distincly consistent in the 5-limit. There are precisely 14 distinct tempered out commas, which are ratios formed by sequences of intervals where every note is unique, except for the starting and ending notes, which remain the same. | 12edo is distincly consistent in the 5-odd-limit. There are precisely 14 distinct tempered out commas, which are ratios formed by sequences of intervals where every note is unique, except for the starting and ending notes, which remain the same. | ||
{| class="wikitable center-all left-2 right-3 right-5 left-6" | {| class="wikitable center-all left-2 right-3 right-5 left-6" | ||
| Line 125: | Line 125: | ||
| [[48828125/53747712]] | | [[48828125/53747712]] | ||
|} | |} | ||
12edo remains consistent within the 9-odd-limit. Therefore, it's worthwhile to explore ratios tempered out in the 7-limit, particularly those with simple factorizations that facilitate quick harmonic operations. | |||
{| class="wikitable center-all left-2 right-3 right-5 left-6" | {| class="wikitable center-all left-2 right-3 right-5 left-6" | ||
|+style=white-space:nowrap| 7-limit commas tempered out in 12-tet with Benedetti height < 2**16 | |+style=white-space:nowrap| 7-limit commas tempered out in 12-tet with Benedetti height < 2**16 | ||