19-limit: Difference between revisions

No edit summary
Line 3: Line 3:


The 19-limit is a [[Rank and codimension|rank-8]] system, and can be modeled in a 7-dimensional [[lattice]], with the primes 3, 5, 7, 11, 13, 17, and 19 represented by each dimension. The prime 2 does not appear in the typical 19-limit lattice because octave equivalence is presumed. If octave equivalence is not presumed, an eighth dimension is need.
The 19-limit is a [[Rank and codimension|rank-8]] system, and can be modeled in a 7-dimensional [[lattice]], with the primes 3, 5, 7, 11, 13, 17, and 19 represented by each dimension. The prime 2 does not appear in the typical 19-limit lattice because octave equivalence is presumed. If octave equivalence is not presumed, an eighth dimension is need.
These things are contained by the 19-limit, but not the 17-limit:
* The [[19-odd-limit|19-]] and [[21-odd-limit]];
* Mode 10 and 11 of the harmonic or subharmonic series.


== Terminology and notation ==
== Terminology and notation ==
Line 151: Line 155:
; [[Joseph Monzo]]
; [[Joseph Monzo]]
* [https://www.youtube.com/watch?v=it5avwRE8PI ''Theme from Invisible Haircut''] (1990)
* [https://www.youtube.com/watch?v=it5avwRE8PI ''Theme from Invisible Haircut''] (1990)
== See also ==
* [[19-odd-limit]]


[[Category:19-limit| ]] <!-- main article -->
[[Category:19-limit| ]] <!-- main article -->