1308edo: Difference between revisions

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~~'''1308edo''' is the [[~~EDO|~~equal division of the octave]] into~~ 1308 parts of 0.917431 cents each. It is consistent to the 21-limit distinctly, tempering out |37 25 -33> (whoosh comma) and |-46 51 -15> (171&453 comma) in the 5-limit; 250047/250000, 2460375/2458624, and |47 4 0 -19> in the 7-limit; 9801/9800, 151263/151250, 234375/234256, and 67110351/67108864 in the 11-limit; 4225/4224, 6656/6655, 50193/50176, 91125/91091, and 655473/655360 in the 13-limit; 2601/2600, 5832/5831, 11016/11011, 11271/11264, 12376/12375, and 108086/108045 in the 17-limit; 5491/5488, 5776/5775, 5985/5984, 6175/6174, 10241/10240, and 10830/10829 in the 19-limit.

1308edo is the ~~15th~~ [[~~The Riemann Zeta Function~~ and ~~Tuning~~|~~zeta gap edo~~]].

1308edo is [[consistent]] to the [[21-odd-limit]] distinctly, tempering out {{monzo| 37 25 -33 }} (whoosh comma) and {{monzo| -46 51 -15}} (171 & 453 comma) in the 5-limit; [[250047/250000]], [[2460375/2458624]], and {{monzo| 47 4 0 -19 }} in the 7-limit; [[9801/9800]], 151263/151250, 234375/234256, and 67110351/67108864 in the 11-limit; [[4225/4224]], [[6656/6655]], 50193/50176, 91125/91091, and 655473/655360 in the 13-limit; [[2601/2600]], [[5832/5831]], [[11016/11011]], 11271/11264, [[12376/12375]], and 108086/108045 in the 17-limit; 5491/5488, 5776/5775, 5985/5984, 6175/6174, 10241/10240, and 10830/10829 in the 19-limit.

[[~~Category:Equal divisions of the octave|####~~]] <~~!--~~ 4~~-digit number -->~~

1308edo is the 15th [[zeta gap edo]].

=== Prime harmonics ===

=== Subsets and supersets ===

Since 1308 factors into 2<sup>2</sup> × 3 × 109, 1308edo has subset edos 2, 3, 4, 6, 12, 109, 218, 327, 436, and 654.

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 {{Infobox ET}}
-'''1308edo''' is the [[EDO|equal division of the octave]] into 1308 parts of 0.917431 cents each. It is consistent to the 21-limit distinctly, tempering out |37 25 -33&gt; (whoosh comma) and |-46 51 -15&gt; (171&amp;453 comma) in the 5-limit; 250047/250000, 2460375/2458624, and |47 4 0 -19&gt; in the 7-limit; 9801/9800, 151263/151250, 234375/234256, and 67110351/67108864 in the 11-limit; 4225/4224, 6656/6655, 50193/50176, 91125/91091, and 655473/655360 in the 13-limit; 2601/2600, 5832/5831, 11016/11011, 11271/11264, 12376/12375, and 108086/108045 in the 17-limit; 5491/5488, 5776/5775, 5985/5984, 6175/6174, 10241/10240, and 10830/10829 in the 19-limit.
+{{EDO intro|1308}}
-edo is the 15th [[The Riemann Zeta Function and Tuning|zeta gap edo]].
+edo is [[consistent]] to the [[21-odd-limit]] distinctly, tempering out {{monzo| 37 25 -33 }} (whoosh comma) and {{monzo| -46 51 -15}} (171 &amp; 453 comma) in the 5-limit; [[250047/250000]], [[2460375/2458624]], and {{monzo| 47 4 0 -19 }} in the 7-limit; [[9801/9800]], 151263/151250, 234375/234256, and 67110351/67108864 in the 11-limit; [[4225/4224]], [[6656/6655]], 50193/50176, 91125/91091, and 655473/655360 in the 13-limit; [[2601/2600]], [[5832/5831]], [[11016/11011]], 11271/11264, [[12376/12375]], and 108086/108045 in the 17-limit; 5491/5488, 5776/5775, 5985/5984, 6175/6174, 10241/10240, and 10830/10829 in the 19-limit.
-[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
+edo is the 15th [[zeta gap edo]].
+=== Prime harmonics ===
+{{Harmonics in equal|1308}}
+=== Subsets and supersets ===
+Since 1308 factors into 2<sup>2</sup> × 3 × 109, 1308edo has subset edos 2, 3, 4, 6, 12, 109, 218, 327, 436, and 654.