Mystery comma: Difference between revisions
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Propose "mystery comma" as a name (and link to mystery) |
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{{Infobox Interval | {{Infobox Interval | ||
| Icon = | | Icon = | ||
| Ratio = | | Ratio = 70 368 744 177 664 / <br>68 630 377 364 883 | ||
| Monzo = 46 -29 | | Monzo = 46 -29 | ||
| Cents = 43.30497 | | Cents = 43.30497 | ||
| Name = 29-comma, <br> | | Name = 29-comma, <br>mystery comma | ||
| Color name = s<sup>4</sup>w4 | | Color name = s<sup>4</sup>w4 | ||
| FJS name = | | FJS name = | ||
| Sound = | | Sound = | ||
}} | }} | ||
{{monzo|46 -29}}, the '''29-comma''' of 43.305 cents, is the difference between 46 octaves and 29 fifths, in other words 2<sup>46</sup>/3<sup>29</sup> | {{monzo|46 -29}}, the '''29-comma''' or '''mystery comma''' of 43.305 cents, is the difference between 46 octaves and 29 fifths, in other words 2<sup>46</sup>/3<sup>29</sup>. | ||
== Temperaments == | == Temperaments == | ||
Tempering out | Tempering out this comma splits the octave into 29 equal parts and maps the harmonic 3 to 17\29, leading to the 5-limit version of [[Mystery|mystery temperament]]. For EDOs up to 400, the 29-comma is tempered out if and only if 29 divides it, for example [[29edo]], [[58edo]] or [[87edo]]. | ||
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== See also == | == See also == | ||
* [[Medium comma]] | |||
* [[Medium | |||
[[Category:3-limit]] | [[Category:3-limit]] | ||
[[Category:29edo]] | [[Category:29edo]] | ||
[[Category:Medium comma]] | [[Category:Medium comma]] | ||
[[Category:Mystery]] | |||