7-limit: Difference between revisions

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Edited the list to include only EDOs that are consistent in the 7-odd-limit.
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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.


Relative to their size, the following equal divisions provide good approximations to the 7-limit: {{EDOs| 1, 2, 3, 4, 5, 7, 9, 10, 12, 15, 19, 21, 22, 31, 53, 84, 87, 94, 99, 118, 130, 140, 171, 270, 410, 441, and 612 EDO. }}
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. }}


== List of Intervals in the 7-Prime Limit and 81-Odd Limit ==
== List of Intervals in the 7-Prime Limit and 81-Odd Limit ==