11edo: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 283584958 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 283585702 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-12-08 02: | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-12-08 02:13:31 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>283585702</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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Although 11edo has one fewer interval in the octave than 12edo, in terms of [[MOSScales|moment-of-symmetry scales]], it offers a great deal more variety. This is because 11 is a prime number, while 12 is composite. Cycles of 2\11 (two degrees of 11edo), 3\11, 4\11 and 5\11 produce scales which do not repeat at the octave until all 11 intervals have been included. | Although 11edo has one fewer interval in the octave than 12edo, in terms of [[MOSScales|moment-of-symmetry scales]], it offers a great deal more variety. This is because 11 is a prime number, while 12 is composite. Cycles of 2\11 (two degrees of 11edo), 3\11, 4\11 and 5\11 produce scales which do not repeat at the octave until all 11 intervals have been included. | ||
2\11 generates 2 2 2 2 3, a [[ | 2\11 generates 2 2 2 2 3, a [[1L 4s]] scale named Machine[5]; and 2 2 2 2 2 1, a [[5L 1s]] scale named [[Machine]][6]. | ||
3\11 generates 3 3 3 2; and 1 2 1 2 1 2 2, a [[4L 3s]] scale named [[Orgone]][7]. | 3\11 generates 3 3 3 2; and 1 2 1 2 1 2 2, a [[4L 3s]] scale named [[Orgone]][7]. | ||
4\11 generates 4 4 3; 1 3 1 3 3, a [[3L 2s]] scale; and 1 1 2 1 1 2 1 2, a [[3L 5s]] scale. | 4\11 generates 4 4 3; 1 3 1 3 3, a [[3L 2s]] scale; and 1 1 2 1 1 2 1 2, a [[3L 5s]] scale. | ||
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Although 11edo has one fewer interval in the octave than 12edo, in terms of <a class="wiki_link" href="/MOSScales">moment-of-symmetry scales</a>, it offers a great deal more variety. This is because 11 is a prime number, while 12 is composite. Cycles of 2\11 (two degrees of 11edo), 3\11, 4\11 and 5\11 produce scales which do not repeat at the octave until all 11 intervals have been included.<br /> | Although 11edo has one fewer interval in the octave than 12edo, in terms of <a class="wiki_link" href="/MOSScales">moment-of-symmetry scales</a>, it offers a great deal more variety. This is because 11 is a prime number, while 12 is composite. Cycles of 2\11 (two degrees of 11edo), 3\11, 4\11 and 5\11 produce scales which do not repeat at the octave until all 11 intervals have been included.<br /> | ||
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2\11 generates 2 2 2 2 3, a <a class="wiki_link" href="/ | 2\11 generates 2 2 2 2 3, a <a class="wiki_link" href="/1L%204s">1L 4s</a> scale named Machine[5]; and 2 2 2 2 2 1, a <a class="wiki_link" href="/5L%201s">5L 1s</a> scale named <a class="wiki_link" href="/Machine">Machine</a>[6].<br /> | ||
3\11 generates 3 3 3 2; and 1 2 1 2 1 2 2, a <a class="wiki_link" href="/4L%203s">4L 3s</a> scale named <a class="wiki_link" href="/Orgone">Orgone</a>[7].<br /> | 3\11 generates 3 3 3 2; and 1 2 1 2 1 2 2, a <a class="wiki_link" href="/4L%203s">4L 3s</a> scale named <a class="wiki_link" href="/Orgone">Orgone</a>[7].<br /> | ||
4\11 generates 4 4 3; 1 3 1 3 3, a <a class="wiki_link" href="/3L%202s">3L 2s</a> scale; and 1 1 2 1 1 2 1 2, a <a class="wiki_link" href="/3L%205s">3L 5s</a> scale.<br /> | 4\11 generates 4 4 3; 1 3 1 3 3, a <a class="wiki_link" href="/3L%202s">3L 2s</a> scale; and 1 1 2 1 1 2 1 2, a <a class="wiki_link" href="/3L%205s">3L 5s</a> scale.<br /> | ||