Mystery comma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 70368744177664/68630377364883 | |||
| Ratio = | | Name = 29-comma, mystery comma | ||
| Name = 29-comma, | |||
| Color name = Wa-29, s<sup>4</sup>w4 | | Color name = Wa-29, s<sup>4</sup>w4 | ||
| | | Comma = yes | ||
}} | }} | ||
{{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>. | {{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>. | ||
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* [[Medium comma]] | * [[Medium comma]] | ||
[[Category:29edo]] | [[Category:29edo]] | ||
[[Category:Mystery]] | [[Category:Mystery]] | ||
Revision as of 14:50, 25 October 2022
| Interval information |
mystery comma
reduced subharmonic
[46 -29⟩, the 29-comma or mystery comma of 43.305 cents, is the difference between 46 octaves and 29 fifths, in other words 246/329.
Temperaments
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 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.