Nexus comma: Difference between revisions
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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]], as well as 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%27s_Ideas_on_Tonality#Navigational_Primes_and_the_Parachromatic-Paradiatonic_Contrast|demonstrably]] the best p-limit for representing quartertones, lends itself to this temperament being dubbed '''nexus temperament'''. | 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]], as well as 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%27s_Ideas_on_Tonality#Navigational_Primes_and_the_Parachromatic-Paradiatonic_Contrast|demonstrably]] the best p-limit for representing quartertones, lends itself to this temperament being dubbed '''nexus temperament'''- the source of the comma's names. | ||
Revision as of 18:50, 16 October 2020
The nexuma, or nexus comma, is an 11-limit unnoticeable comma with a ratio of 1771561/1769472 = [-16 -3 0 0 6⟩ and a value of approximately 2.04265 cents. It is the sum of the schisma and the parimo, as well as 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 demonstrably the best p-limit for representing quartertones, lends itself to this temperament being dubbed nexus temperament- the source of the comma's names.