Septimagic comma: Difference between revisions

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Created page with "{{Infobox interval | Ratio = 537824/531441 | Name = septimagic comma, magi comma | Color name = sz<sup>5</sup>4, saquinzo 4th | Comma = yes }} '''537824/531441''', the '''septimagic comma''' or '''magi comma''' is a no-fives 7-limit comma of measuring 20.7 cents. It is the difference between five 14/9s and two 3/1s. == Temperaments == Tempering out this comma gives the rank-3 '''septimagic temperament''' in the full 7-limit, and..."
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'''537824/531441''', the '''septimagic comma''' or '''magi comma''' is a [[2.3.7 subgroup|no-fives]] [[7-limit]] [[comma]] of measuring 20.7 [[cent]]s. It is the difference between five [[14/9]]s and two [[3/1]]s.  
'''537824/531441''', the '''septimagic comma''' or '''magi comma''' is a [[2.3.7 subgroup|no-fives]] [[7-limit]] [[comma]] measuring 20.7 [[cent]]s. It is the difference between a stack of five [[14/9]]'s and [[9/1]].  


== Temperaments ==
== Temperaments ==
Tempering out this comma gives the rank-3 '''septimagic temperament''' in the full 7-limit, and the '''[[No-fives subgroup temperaments #Magi|magi temperament]]''' in its minimal prime subgroup of 2.3.7.
[[Tempering out]] this comma gives the rank-3 [[septimagic]] temperament in the full 7-limit, and the [[No-fives subgroup temperaments #Magi|magi]] temperament in its minimal prime subgroup of 2.3.7. Magi is the no-five restriction of [[magic]].


== Etymology ==
== Etymology ==
The word ''septimagic'' is a contraction of ''septimal magic'' into a single word.  
This comma was named by [[Xenllium]] in 2026 as a contraction of ''septimal magic'' into a single word.  


== See also ==
== See also ==