15625/15309: Difference between revisions
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'''15625/15309''', the '''Arcturus comma''', is a no-2s [[7-limit]] ([[3.5.7 subgroup|3.5.7-subgroup]]) comma of about 35.4{{c}} in size. It is named as such because it is tempered out by the [[ | '''15625/15309''', the '''Arcturus comma''', is a no-2s [[7-limit]] ([[3.5.7 subgroup|3.5.7-subgroup]]) comma of about 35.4{{c}} in size. It is named as such because it is tempered out by the [[arcturus]] temperament. It factors in the no-2s 7-limit as ([[245/243]])⋅([[3125/3087]]), and tempering both of these out leads to [[13edt]], or the equal-tempered [[Bohlen-Pierce]] scale. | ||
It is a [[ragisma]] sharp of [[50/49]], and a [[landscape comma]] sharp of [[49/48]]. It is extremely close to half of [[25/24]], with two instances of this | It is a [[ragisma]] sharp of [[50/49]], and a [[landscape comma]] sharp of [[49/48]]. It is extremely close to half of [[25/24]], with two instances of this interval exceeding 25/24 by the [[euzenius comma]] of 0.07{{c}}. | ||
[[Category:Commas named for their regular temperament properties]] | [[Category:Commas named for their regular temperament properties]] | ||
Latest revision as of 05:11, 3 August 2026
| Interval information |
15625/15309, the Arcturus comma, is a no-2s 7-limit (3.5.7-subgroup) comma of about 35.4 ¢ in size. It is named as such because it is tempered out by the arcturus temperament. It factors in the no-2s 7-limit as (245/243)⋅(3125/3087), and tempering both of these out leads to 13edt, or the equal-tempered Bohlen-Pierce scale.
It is a ragisma sharp of 50/49, and a landscape comma sharp of 49/48. It is extremely close to half of 25/24, with two instances of this interval exceeding 25/24 by the euzenius comma of 0.07 ¢.