12276edo
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author hearneg and made on 2017-06-17 05:15:55 UTC.
- The original revision id was 614809973.
- The revision comment was:
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Original Wikitext content:
The 12276 division divides the octave into equal steps of size 0.097752 cents. This creates a unit known as the **prima,** useful for measurement of 11-limit intervals and commas. The Pythagorean comma is represented by 240 prima, and the syntonic comma by 220. A prima is almost exactly three **tuning units**. 12276 is a strong 11-limit system, with a lower 11-limit relative error than any division aside from [[6691edo|6691]]. It factors as 12276 = 2^2 * 3^2 * 11 * 31, and among its divisors are [[12edo|12]], [[22edo|22]], [[31edo|31]], [[99edo|99]] and [[198edo|198]]. 12276 tempers out the atom, so that the Pythagorean and syntonic commas an be approximated by 12 and 11 schismas respectively.
Original HTML content:
<html><head><title>12276edo</title></head><body>The 12276 division divides the octave into equal steps of size 0.097752 cents. This creates a unit known as the <strong>prima,</strong> useful for measurement of 11-limit intervals and commas. The Pythagorean comma is represented by 240 prima, and the syntonic comma by 220. A prima is almost exactly three <strong>tuning units</strong>. <br /> <br /> 12276 is a strong 11-limit system, with a lower 11-limit relative error than any division aside from <a class="wiki_link" href="/6691edo">6691</a>. It factors as 12276 = 2^2 * 3^2 * 11 * 31, and among its divisors are <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/99edo">99</a> and <a class="wiki_link" href="/198edo">198</a>. 12276 tempers out the atom, so that the Pythagorean and syntonic commas an be approximated by 12 and 11 schismas respectively.</body></html>