7-limit: Difference between revisions

Morion (talk | contribs)
Edited the list to include only EDOs that are consistent in the 7-odd-limit.
Adopt more objective measures in edo lists
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For a variety of reasons, common-practice music has been somewhat stuck at the 5-limit for centuries, though 7-limit intervals have a characteristic jazzy sound which is at least partially familiar. Music in the 7-limit thus represents a large step forward, although not as much as [[11-limit|11-]] or [[13-limit]], which usually sound much more exotic.
For a variety of reasons, common-practice music has been somewhat stuck at the 5-limit for centuries, though 7-limit intervals have a characteristic jazzy sound which is at least partially familiar. Music in the 7-limit thus represents a large step forward, although not as much as [[11-limit|11-]] or [[13-limit]], which usually sound much more exotic.


Examples of [[EDO|EDOs]] which represent 7-limit intervals well include: {{EDOs|4, 5, 6, 9, 10, 12, 15, 19, 21, 22, 31, 41, 46, 53, 72, 84, 87, 94, 99, 118, 130, 140, 152, 171, 270, 342, 410, 441, and 612 EDO. }}
A list of [[edo]]s which tunes the 7-limit with more accuracy: {{EDOs| 5, 9, 10, 12, 19, 27, 31, 41, 53, 72, 99, 171, 441, 612 }} and so on. Another list of edos which tunes the 7-limit well relative to their size ([[TE relative error|relative error]] < 5%): {{EDOs| 12, 19, 31, 41, 53, 72, 99, 118, 130, 140, 152, 171, 183, 202, 212, 217, 224, 229, 239, 243, 251, 270, 282, 289, 301, 311, 323, 354, 369, 373, 383, 388, 395, 400, 410, 414, 422, 441, 453, 460, 472, 482, 494, 525, 544, 566, 571, 581, 593, 612 }} and so on.


== List of Intervals in the 7-Prime Limit and 81-Odd Limit ==
== List of intervals in the 7-prime limit and 81-odd Limit ==


{| class="wikitable center-1 right-3"
{| class="wikitable center-1 right-3"