Nexus comma: Difference between revisions
Removed the "demonstrably" trap |
No edit summary |
||
| Line 1: | Line 1: | ||
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 can be mathematically demonstrated to be the best p-limit for representing quartertones | 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 can be mathematically demonstrated to be the best p-limit for representing quartertones in terms of ratio simplicity, lends itself to this temperament being dubbed the "'''nexus temperament'''"- the source of this comma's names. | ||