Nexus comma: Difference between revisions
I simplified one link. To fix "demonstrably", which is a really questionable one, I leave as an exercise for the original author. |
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The '''nexuma''', or '''nexus comma''', is an [[11-limit]] [[unnoticeable comma]] with a ratio of '''1771561/1769472''' = {{Monzo|-16 -3 0 0 6}} and a value of approximately 2.04265 cents. It is the sum of the [[32805/32768|schisma]] and the [[parimo]], the difference between the [[243/242|rastma]] and the [[Alpharabian comma]], and the amount by which a stack of three [[128/121]] undecimal diatonic semitones fall short of a [[32/27]] minor third. Tempering it out leads to the joining of the 11-limit and the 3-limit, a fact which, in light of both the important functions of the 3-limit and the fact that the 11-limit is [[User:Aura/Aura | The '''nexuma''', or '''nexus comma''', is an [[11-limit]] [[unnoticeable comma]] with a ratio of '''1771561/1769472''' = {{Monzo|-16 -3 0 0 6}} and a value of approximately 2.04265 cents. It is the sum of the [[32805/32768|schisma]] and the [[parimo]], the difference between the [[243/242|rastma]] and the [[Alpharabian comma]], and the amount by which a stack of three [[128/121]] undecimal diatonic semitones fall short of a [[32/27]] minor third. Tempering it out leads to the joining of the 11-limit and the 3-limit, a fact which, in light of both the important functions of the 3-limit and the fact that the 11-limit is [[User:Aura/Aura's Ideas on Tonality#Navigational Primes and the Parachromatic-Paradiatonic Contrast|demonstrably]] the best p-limit for representing quartertones when it comes to ratio simplicity, lends itself to this temperament being dubbed the "'''nexus temperament'''"- the source of this comma's names. | ||